A Complete Bibliography of Publications in IMA Journal of ...netlib.sandia.gov/tex/bib/imajnumeranal.pdfA Complete Bibliography of Publications in IMA Journal of Numerical Analysis

A Complete Bibliography of Publications in IMA Journalof Numerical Analysis

Nelson H. F. BeebeUniversity of Utah

Department of Mathematics, 110 LCB155 S 1400 E RM 233

Salt Lake City, UT 84112-0090USA

Tel: +1 801 581 5254FAX: +1 801 581 4148

E-mail: [email protected], [email protected],[email protected] (Internet)

WWW URL: http://www.math.utah.edu/~beebe/

26 January 2021Version 1.81

Title word cross-reference

(k, l) [376, 377]. −1 [1193]. 1[419, 437, 483, 1151, 1274]. 1/2 [540]. 1/x[315]. 10 [936]. 2 [502, 794, 1142, 1294]. 3[64, 213, 301, 703, 1043, 1196, 1289, 1427,1568]. 4 [45]. [1,∞) [315]. 1/2 [613]. 2 [993].A [1053, 1710]. α [1531]. ap [1412].AX + Y B = C [1811]. B [939]. R3 [1109].H(div) [1387]. C0 [246, 331, 464]. C1

[1486, 1618]. C2 [605, 1487, 1289]. C1 [1403].F [590]. Z [532]. χ [7]. D [150, 189, 1591].DG(p) [970]. dG(s) [821]. ε [94, 969, 1651].G1 [749]. G2 [749]. γ [1214]. H[1007, 1472, 1492, 1730, 584, 593, 977, 1627].H(div) [932, 1197, 1386]. H−1 [718]. H1

[14, 573, 819, 1175, 1402, 1439, 1679]. H2

[474, 573]. Hs(0, L) [165]. H1 [699]. H∞[1360]. HΛ

p (Id) [832]. hp[26, 247, 404, 683, 933, 1009, 1334, 1336,1677, 1809, 613, 838, 837, 1384]. K[758, 591]. l [561]. L(L2) [633]. L2

[171, 410, 651, 905, 1230]. L2(H1) [716].L2(H1

γ) [1079]. L∞(L2) [836, 1648]. L∞(L∞)[970, 971]. L1 [1088, 1736, 1460, 1478, 1738,1743, 1776, 1811]. L2

[392, 819, 1174, 547, 1742]. l∞ [1478]. Lp[1199, 1304, 1305, 1737]. λ [842]. LDLT

[1511, 862, 590]. LR [929]. LU[1075, 1114, 1631]. M [507, 506, 922]. A− ϕ[542]. T −Ω [542]. H [755]. O(ε−3/2) [555].P [457, 458, 520, 1070, 65, 211, 248, 620, 948,971, 977, 1220, 1286, 1528, 1558, 1627]. p(x)[602]. P1 [332]. Q [1792, 1452]. qd [929]. QR[440, 1020]. R [553]. R3 [1319]. < [977]. rp

1

2

[1412]. S [786]. T [806]. Θ[432, 914, 913, 1120, 1240, 1254, 1691]. V[1765]. ϕ [1758]. ϑ [1119]. W (a, x) [846].W−1,q [270]. W 1,∞ [595]. X[366, 1300, 1610]. x(i+1) = Px(i) + q [112].XY = A [1810]. y′′ = f(t, y) [457, 458].y′ = f(x, y) [519]. y′ = f(x, y) [520].y′′ = f(x, y) [936]. y′′ = f(x, y) [517, 518]. z[355, 1303, 1435]. z−1 [355, 1303, 1435]. Z2

[1073]. |ε| [1]. |L2| [249].

-acceptability [1053]. -algebraic [376, 377].-algorithm [1651]. -approximation[613, 1199]. -approximations [1120].-BEM [248]. -Bernstein [1452].-boundedness [971, 970]. -condition[1214]. -conforming [795, 1197].-convergence [595, 758]. -Cycle [1765].-decompositions [507, 506, 1114].-dependent [94]. -elliptic [1007, 584].-error [633, 836]. -factorization [590].-functions [1758]. -Galerkin [1439].-Hessian [794]. -interior [331]. -Laplacian[65, 211, 602]. -linear [553]. -matrices[1730]. -matrix [755, 806, 922]. -method[7]. -methods[1240, 1254, 1691, 432, 914, 913]. -narrow[593]. -norm [474, 905]. -norms [1528, 716].-order [1792]. -part [591]. -partitions[150]. -projection [14, 819]. -rational [842].-scheme [1119]. -series [939]. -solutions[971, 1811]. -spline [1300, 1610]. -splines[366, 1403]. -stability [520, 819]. -stable[458, 457, 1070, 1710]. -structure[620, 1286]. -symmetry [1073]. -transform[532]. -transformation [1591].-triangulation [1531]. -type [786, 590].-uniform [969]. -uniformly [1]. -version[838, 837, 948, 1384, 1558]. -weighted[1492].

17 [1625].

2 [212, 1284]. 26 [82].

31 [1771]. 3D [1676].

5 [458, 690].

65130 [517].

7 [642].

83d [1284]. 86d [690]. 87c [458].

9 [517]. 90d [642]. 90i [517]. 98d [1625].

Abel [395, 1257, 1258]. abscissa[1329, 1330]. absolute[1132, 1311, 1798, 1693]. absorbing [1282].abstract [264]. Accelerated [147, 765].accelerating [1035]. Acceleration[1195, 337, 1038, 1051, 1311, 1312].accelerator [692]. acceptability [1053].accretive [283, 284]. accumulation [491].Accuracy [1388, 130, 457, 458, 969, 1056,1076, 1237, 1337, 1602]. Accurate[586, 638, 722, 776, 846, 876, 1043, 1275, 1383,1409, 1654, 1655, 1656, 1720, 1795, 1806].achieve [610]. acoustic[228, 254, 295, 806, 1136, 1137, 1196, 1538].active [268]. Adams [946]. Adams-type[946]. adapted [1234]. Adaptive[43, 113, 216, 400, 564, 598, 713, 765, 770,1130, 1408, 1650, 44, 53, 105, 211, 215, 224,389, 413, 420, 459, 530, 566, 635, 667, 720,732, 809, 810, 820, 821, 865, 866, 1011, 1091,1161, 1162, 1183, 1184, 1276, 1342, 1592,1760, 1809]. adaptivity [873]. addition[760]. additional [253, 1370]. Additive[952, 1558, 114, 494, 977, 1118, 1253, 1368,1727, 1777]. additively [450]. ADER[1665]. ADER-WAF [1665]. adhesion[559, 839]. ADI [1441]. Adiabatic [1069].adjoint [302, 1210, 1298, 1569, 1634, 1722].advected [1170]. advection [688, 705, 717,800, 1349, 1411, 1602, 1675, 1744].advection-diffusion [1349, 1411].advective [1169]. adverse [287]. Afem

3

[423]. affine [170, 1405]. after [551].aggregated [1628]. aid [1552]. Ale[1275, 1155]. Ale-Fem [1275]. algebra[1684]. algebraic [169, 376, 377, 394, 431,525, 796, 872, 906, 923, 1142, 1219, 1225,1229, 1427, 1542, 1568, 1594, 1596, 1649].algebraically [526]. algorithm[290, 293, 309, 369, 370, 420, 428, 475, 481,538, 556, 580, 621, 647, 711, 721, 731, 740,754, 831, 863, 874, 920, 960, 1002, 1019, 1020,1030, 1040, 1138, 1288, 1310, 1370, 1446,1469, 1474, 1545, 1651, 1703, 1709, 1736,1742, 1755, 1763, 1779, 1793]. Algorithms[622, 1339, 1366, 60, 61, 84, 226, 328, 530,574, 618, 675, 707, 709, 824, 902, 923, 929,1080, 1112, 1113, 1195, 1340, 1346, 1488,1491, 1522, 1598, 1612, 1627, 1668, 1676,1762, 1758, 1791, 1792, 1803]. alignment[58]. Allen [94, 178, 268, 324, 763, 887].allows [860]. alloy [175, 176, 177, 271, 1131].alloys [1789]. alpha [599]. Alternate[570, 1346, 1347]. alternating[261, 354, 460, 503, 502, 858, 1510]. Ampere[127, 1400]. Anal[458, 517, 642, 690, 1284, 1625]. analyses[195, 446, 952]. Analysis[21, 105, 118, 277, 280, 308, 353, 363, 473, 487,551, 572, 652, 741, 761, 763, 762, 814, 909, 945,951, 979, 1029, 1124, 1201, 1231, 1273, 1451,1508, 1513, 1665, 1771, 2, 5, 33, 50, 86, 87, 89,100, 104, 139, 153, 166, 168, 212, 218, 231, 238,234, 241, 257, 266, 265, 268, 271, 297, 325, 329,335, 387, 393, 395, 397, 412, 417, 426, 453, 468,482, 486, 521, 546, 560, 574, 629, 636, 676, 683,685, 688, 697, 707, 706, 698, 703, 699, 704, 709,719, 1511, 758, 767, 800, 806, 817, 825, 826].analysis[845, 906, 908, 986, 992, 993, 1009, 1026, 1025,1022, 1066, 1073, 1072, 1080, 1087, 1088,1089, 1136, 1137, 1150, 1156, 1160, 1161,1177, 1206, 1197, 1207, 1215, 1249, 1250,1257, 1272, 1276, 1274, 1292, 1298, 1323,1326, 1341, 1369, 1374, 1395, 1398, 1403, 1407,1412, 1488, 1504, 1505, 1530, 1569, 1646, 1722,

1728, 1717, 1765, 1763, 1759, 1762, 1767, 1780,1787, 1797, 1807, 585, 1045, 1046, 1698, 364].analysis-suitable [486]. Analytic[1689, 16, 39, 54, 1094, 1463, 1517].analytical [8, 14, 169, 915]. Andrew [900].angles [220]. Anisotropic[467, 95, 170, 188, 190, 617, 717, 725, 726,851, 887, 1174, 1175, 1245, 1515, 1765, 1794].annulus [355, 1303, 1435]. any [725]. AOR[1730]. apertures [978]. Application[475, 96, 222, 281, 403, 430, 445, 459, 478,612, 732, 734, 958, 1005, 1017, 1111, 1227,1332, 1389, 1614, 1703]. applications[87, 91, 109, 146, 150, 216, 354, 360, 481, 539,797, 884, 881, 912, 1112, 1113, 1266, 1522,1604, 1646, 1658, 1770, 1771]. applied[98, 149, 224, 462, 790, 882, 974, 1168, 1228,1233, 1314, 1382, 1548, 1730]. appraisal[1434]. approach[53, 98, 564, 629, 631, 735, 828, 930, 1055,1355, 1356, 1386, 1387, 1407, 1426, 1425,1492, 1655, 1669, 1682, 1814, 562].approximants [755]. approximate[173, 386, 469, 506, 603, 693, 724, 957, 1011,1146, 1315]. approximated [488, 541].Approximating [917, 1235, 16, 579, 601,1360, 1522, 1634, 1656, 1758].Approximation[88, 228, 315, 325, 345, 895, 944, 943, 975, 990,1078, 1345, 1579, 1773, 4, 15, 23, 27, 24, 28,46, 62, 65, 90, 91, 130, 140, 164, 183, 185, 186,187, 181, 175, 176, 177, 178, 174, 188, 194,189, 179, 180, 192, 196, 198, 199, 203, 214,236, 283, 284, 282, 286, 292, 302, 320, 327,338, 358, 359, 388, 409, 410, 425, 430, 431,479, 490, 492, 515, 522, 536, 547, 607, 613, 620,633, 653, 655, 673, 695, 700, 702, 725, 739, 777,781, 793, 805, 823, 839, 840, 859, 973, 988].approximation[994, 1008, 1031, 1035, 1036, 1042, 1062, 1063,1081, 1094, 1106, 1125, 1167, 1170, 1189,1199, 1226, 1243, 1244, 1266, 1461, 1276,1293, 1364, 1378, 1392, 1402, 1421, 1433,1459, 1462, 1504, 1506, 1520, 1537, 1549, 1585,

4

1637, 1641, 1655, 1678, 1708, 1736, 1737, 1738,1741, 1747, 1750, 1752, 1760, 1777, 1782].approximations[11, 12, 44, 128, 136, 190, 193, 191, 204, 324,329, 349, 350, 407, 517, 518, 540, 573, 586,692, 701, 779, 800, 802, 835, 836, 833, 857,911, 1053, 1086, 1118, 1121, 1120, 1123, 1172,1181, 1208, 1209, 1220, 1221, 1272, 1304,1305, 1315, 1363, 1408, 1409, 1430, 1440,1512, 1543, 1554, 1560, 1573, 1591, 1609, 1626,1670, 1677, 1676, 1679, 1733, 1754, 1812, 587].Arbitrarily [1559]. Arbitrary [617, 137,596, 747, 791, 861, 975, 1251, 1263, 563].Arbitrary-order [617]. arcs [1781].arguments [1395]. arising[34, 32, 338, 387, 700, 756, 868, 906, 935,1006, 1018, 1139, 1229, 1440, 1484].arithmetic [1012, 1413, 1414, 1585].Arnold [410]. Aronszajn [732]. aspects[1551]. asserting [1703]. assets [1021].assimilation [1040]. associated[60, 61, 68, 922]. assumptions [812].asymmetric [1297]. asymmetry [1597].Asymptotic[435, 665, 840, 1320, 1424, 1571, 1721, 1752,20, 57, 84, 432, 707, 841, 844, 899, 1037,1086, 1166, 1246, 1287, 1601, 1759].asymptotic-preserving [844].Asymptotically [653]. asymptotics [597].asynchronous [1344]. atom [38].atomistic [1222]. atomistic-to-continuum[1222]. attenuation [1507]. attracting[1568]. attraction [811]. attractivity[1556]. attractor [987, 990]. Attractors[1141, 907, 1142]. Augmented[675, 774, 1041, 195, 393, 534, 958, 1163,1177, 1194, 1217, 1492]. auto [133, 1465].auto-correction [1465]. auto-correlation[133]. Automatic [491, 386]. autonomous[485, 1095]. Auxiliary [584]. Average[1418, 326]. averages [717, 1202].averaging [541, 1433, 1545]. Avoiding[48, 49, 199]. axisymmetric [231, 1407].

B [383, 723, 859, 1108, 1683]. B-series [383].B-spline [723, 859, 1108, 1683]. back [684].Backward [1260, 592, 33, 162, 452, 615, 784,1150, 1310, 1344, 1357, 1644]. Bakhvalov[1231]. Bakhvalov-Shishkin [1231].balance [824, 1124]. ball [1459]. Banach[768, 1371, 1729]. band [534, 593]. Banded[937]. Barlow [1786]. barotropic [805].barrier [1076, 1419]. barycentric[126, 430, 985]. Barzilai[1039, 569, 568, 1503]. Basc [781]. based[6, 155, 272, 316, 426, 442, 452, 475, 488, 541,618, 681, 701, 714, 761, 843, 891, 942, 1111,1177, 1179, 1185, 1306, 1307, 1311, 1342,1346, 1347, 1396, 1444, 1583, 1609, 1654,1669, 1673, 1699, 1731, 1786]. bases[52, 1185, 1664]. basis[143, 205, 365, 405, 479, 544, 778, 779, 801,806, 1067, 1199, 1278, 1463, 1526, 1766, 1796].bathymetry [300]. BDDC [404]. BDF[1055]. BDF-like [1055]. Beam [1673].beams [1573]. Bean [698]. bed [493].behaviour[435, 436, 561, 665, 680, 791, 1246, 1424, 1776].Bellman [1079, 1351]. Bellman-type[1351]. Beltrami [374]. BEM[6, 159, 248, 339, 681, 735, 755]. bending[1402]. benefit [1029]. Bernstein[1449, 1452]. bespoke [788]. Bessel[1771, 1770]. Best [1459, 1462, 1750, 320,410, 1244, 1304, 1305, 1433]. between[57, 212, 357, 779, 1664]. beyond [631].Bezier [536]. BFGS [118, 1793]. bi[797, 895]. bi-Laplacian [797]. bi-variate[895]. bicubic [154]. bidiagonal [964, 1313].bidimensional [1535]. BIE [736, 737].bifurcation [45, 608, 712, 1364, 1554].Bifurcations [1624, 1625, 454, 898].biharmonic [313, 316, 331, 804, 834, 843,927, 1278, 1777, 1801]. bilateral [166].bilinear [783]. binary [1131]. Birkhoff [15].bisection [819]. bivariate [1403, 1617].Black [430, 1108, 1726, 1046]. Block[226, 1473, 146, 281, 537, 558, 1511, 879, 889,

5

958, 964, 1254, 1264, 1316, 1614, 1780].Block-diagonal [1473, 537].block-separable [889]. block-tridiagonal[558]. blocks [30, 1313]. blow [770].blow-up [770]. bmo [88]. bodies [297, 735].body [559, 995, 1580]. Bogdanov[257, 1073, 1072, 1764]. Boltzmann [777].Boor [1779]. bordered [1780]. borders[879]. Borwein [569, 568, 1039, 1503].bound [175, 177, 316, 711, 833, 890, 1301,1419, 1526, 1592]. bound-constrained[890]. boundaries [468, 1078]. Boundary[1013, 1047, 1186, 4, 8, 19, 48, 49, 66, 92, 98,97, 107, 125, 150, 160, 163, 182, 186, 191, 224,230, 241, 247, 254, 259, 260, 274, 276, 295,308, 381, 393, 418, 414, 422, 425, 434, 436, 448,455, 456, 468, 475, 484, 508, 511, 522, 594, 595,625, 637, 645, 685, 689, 702, 720, 732, 738, 746,759, 817, 826, 852, 865, 866, 864, 904, 934, 970,971, 974, 977, 978, 993, 995, 1002, 1008, 1010,1083, 1099, 1122, 1156, 1158, 1224, 1276, 1282,1290, 1321, 1334, 1362, 1379, 1385, 1406].boundary [1436, 1484, 1507, 1550, 1602,1607, 1630, 1638, 1643, 1642, 1646, 1647,1677, 1714, 1753, 1046].boundary-concentrated [685].boundary-driven [436]. boundary-finite[1013]. boundary-locus [150].boundary-value [308, 475, 904, 1362].Bounded [1600, 495, 1496, 1517, 1571, 1800].Bounded-norm [1600]. boundedness[970, 971]. Bounds[1077, 23, 25, 27, 24, 28, 41, 106, 164, 167, 242,472, 594, 600, 836, 1095, 1094, 1200, 1415,1413, 1414, 1449, 1450, 1512, 1518, 1531,1584, 1644, 1666, 1716, 1725, 1732, 1734].Boussinesq [744, 1431]. box[733, 774, 812, 1241, 1483]. BPX [486].Branch [45, 388]. branched [558].breaking [1072, 1364, 1764]. bridge [1728].Bridging [1203]. Brinkman[51, 56, 105, 103, 795, 1098]. Broken[197, 360]. Brownian [407, 1728]. Broyden[1803]. bubble [783, 870]. bulk [687, 704].

bulk-surface [687, 704]. Burgers’[1548, 1216, 1524]. Burgers-like [1216].Burniston [54]. Burniston-Siewert [54].

Cahn [178, 94, 113, 268, 324, 619, 763, 887,888, 1189, 1385]. Cahn/Cahn [178].calculation [262, 286, 531, 897, 1255].calculus [1529]. Call [70]. Camassa [1733].Canham [886]. canonical [68]. capillarity[406]. capillary [220]. capturing [1524].Caputo [1638]. Caratheodory[694, 695, 1470]. cardiac [55]. cardinality[423]. Carlo [539, 861, 1129, 1180, 1280].cartoon [699]. case [38, 287, 555, 631, 732,737, 736, 1008, 1448, 1481, 1483]. Cauchy[264, 521, 548, 1193, 1453, 1468].Cauchy-type [548]. cavity [771]. cell[428, 725, 814, 839, 972]. cell-centred[428, 725, 972]. centered [713]. central[356, 1211, 1348]. central-difference [1348].central-upwind [356]. centre [1101].Centred [1674, 428, 725, 972]. certain[543, 624, 707, 858, 1006, 1139, 1450, 1761].CG [1419]. chain [1421]. chains [1192].Change[660, 1065, 611, 667, 1509, 1781, 1802].changes [681]. changing [787]. channel[1117]. chaos [1670]. Characteristic[297, 92, 323]. Cheap [1171]. chebfuns[1432]. Chebyshev[46, 245, 246, 320, 730, 885, 1117, 1207, 1216,1304, 1353, 1378, 1449, 1601, 1623, 1622,1699, 1720, 1739, 1741, 1750]. chemotaxis[1533]. choice [550, 1092, 1503]. Cholesky[446, 1631, 1802]. choosing [275]. Chordal[776]. Christoffel [596]. CIP [1759]. circle[368, 538, 869]. circular [771, 1303]. claims[1814, 614]. class[4, 118, 146, 352, 353, 363, 364, 398, 413, 456,519, 715, 752, 767, 832, 923, 935, 973, 1001,1107, 1126, 1127, 1218, 1295, 1390, 1498, 1522,1542, 1569, 1593, 1602, 1671, 1689, 1692].classical [116, 127]. classification [1572].Clement [96]. Clement-type [96].

6

Clenshaw [634, 1771, 13, 1770]. close [544].close-to-touching [544]. Closed[996, 189, 859, 1546]. Closed-form [996].closest [721]. Closing [357]. closure [84].clustering [1158]. codes [442, 945, 1578].coefficient[516, 913, 1093, 1123, 1389, 1462, 1540, 1744].coefficients[88, 286, 461, 463, 483, 684, 778, 854, 1027,1044, 1094, 1103, 1102, 1129, 1353, 1392,1454, 1502, 1670, 1720, 1794, 1807, 584].coercivity [160]. collection [1580].Collective [1319]. Collocation[42, 1133, 1225, 1661, 20, 121, 233, 259, 261,267, 339, 348, 347, 351, 353, 548, 624, 646, 808,840, 872, 883, 909, 935, 974, 1100, 1108, 1117,1173, 1204, 1207, 1216, 1265, 1285, 1343, 1441,1613, 1623, 1622, 1657, 1710, 1752, 1753, 954].collocation-type [1173]. combination[885, 1508]. combinations [877]. combined[295, 422, 1709]. committed [1700].commutator [266, 265]. commutator-free[266, 265]. Compact[360, 818, 612, 802, 1620]. compactly [479].companion [592]. Comparison[210, 417, 54, 167, 397, 412, 803].Comparisons [779, 1580]. compatible[280, 653, 771]. complement [851, 1614].complementarity [144, 1732, 1731].complementary [1662]. complete[291, 1702]. completely [561, 1776].completion [40, 460]. Complex[117, 1051, 99, 226, 596, 686, 843, 923, 1068,1297, 1304, 1414, 1553, 1720, 1739].complexes [723]. Complexity[832, 891, 420, 555, 566, 896, 1419].component [175, 176, 177, 271, 1728].Componentwise [1732, 482, 1528].Composite [1461, 311, 536, 1755].compound [623, 1145]. compressible[276, 805, 856, 972, 1125, 1287].compressible-gas [856]. Computable[25, 24, 28, 106, 974, 1200, 1725, 23, 1707].Computation [1101, 1329, 1330, 1365, 1470,

1628, 5, 30, 256, 306, 320, 448, 647, 705, 712,846, 1039, 1176, 1177, 1202, 1265, 1339, 1376,1442, 1680, 1683, 1720]. Computational[472, 608]. Computations[965, 566, 1280, 1291]. computed [600, 680].computer [944, 943]. computerized [1469].computers [1413]. Computing[151, 323, 322, 666, 984, 1084, 1651, 1652,1798, 1808, 69, 455, 509, 544, 740, 801, 960,1331, 1423, 1590, 1775]. concentrated [685].concentration [176].concentration-dependent [176].concerning [1435]. condition[60, 61, 163, 186, 201, 221, 224, 326, 482, 738,765, 769, 826, 912, 1214, 1758, 1802, 1046].conditional [666]. conditioned[133, 850, 1646]. conditioning[112, 772, 1523]. Conditions[1478, 92, 209, 241, 276, 295, 367, 393, 422,434, 519, 637, 645, 729, 746, 752, 759, 928,970, 971, 993, 1156, 1182, 1282, 1385, 1436,1602, 1617, 1630, 1691, 1748]. conducting[297]. conduction [23]. conductivity [674].configuration [1144]. conformal[439, 693, 803, 1146, 1179, 1207].Conforming [401, 931, 1117, 95, 340, 427,688, 795, 827, 932, 1197, 1228, 1395, 1399].conjecture [1435]. Conjugate[1297, 142, 939, 1068, 1491, 1597, 1709, 1799].conjugate-gradient [1068]. connected[1146, 1343]. connecting [256, 1365].Conservation [514, 438, 451, 499, 530, 788,830, 940, 970, 971, 1011, 1148, 1337, 1341,1566, 1584, 1616, 1674, 1795]. Conservative[391, 1533, 1544, 1485, 1486, 1497].conserving [474, 871]. consistency[1569, 1675]. consistent [630, 1801].consolidation [1549]. Constant[27, 631, 1074, 1672, 1782]. constants[935, 1660, 1706]. constituted [1641].constrained[43, 87, 200, 222, 320, 466, 554, 711, 774, 781,890, 1138, 1241, 1370, 1419, 1555, 1567, 1633].Constraining [1149]. constraint [1090].

7

constraints [332, 420, 581, 1310, 1462].constricted [1117]. Constructing[1445, 1366]. Construction[1037, 1179, 719, 957, 1095, 1751, 1778].Constructive [1073]. contact[22, 89, 166, 212, 220, 488, 594, 625, 1715].context [1288, 1582]. contingent[1814, 614]. continuation[664, 789, 841, 1030, 1464]. continued [558].Continuous[742, 1532, 1609, 26, 371, 404, 791, 1081,1095, 1190, 1244, 1497, 1672, 1736].continuum [1222, 1421]. contour [1745].contours [289]. contraction [1360].contrast [372]. control[41, 86, 85, 98, 108, 146, 332, 336, 337, 386,415, 425, 466, 671, 687, 841, 865, 866, 864, 930,940, 1090, 1181, 1421, 1451, 1483, 1489, 1560].control-state [466]. controlled [944, 943].Convection[298, 299, 128, 152, 169, 227, 341, 400, 419,427, 436, 477, 473, 465, 502, 541, 586, 633, 673,682, 747, 814, 833, 919, 926, 1123, 1128, 1143,1215, 1231, 1233, 1242, 1255, 1262, 1261, 1276,1275, 1291, 1336, 1373, 1375, 1408, 1547, 1588,1722, 1724, 1748, 1767, 1809, 562, 587, 1643].convection-diffusion[128, 169, 341, 400, 427, 436, 473, 673, 747,814, 833, 926, 1123, 1128, 1231, 1233, 1262,1261, 1276, 1275, 1291, 1336, 1373, 1547,1588, 1722, 1748, 1767, 587].convection-diffusion-reaction [541].Convection-diffusion-type [1643].convection-dominated [152, 919, 1215].converge [1463]. Convergence[8, 39, 140, 149, 174, 266, 265, 339, 361, 406,413, 437, 530, 539, 567, 566, 635, 648, 670, 740,767, 800, 806, 810, 820, 829, 956, 1000, 1026,1079, 1103, 1102, 1136, 1170, 1178, 1187, 1261,1385, 1395, 1537, 1572, 1670, 1730, 1729, 1744,1754, 1755, 1765, 1763, 1762, 1767, 1779, 1800,1807, 1698, 36, 50, 60, 61, 112, 138, 144, 152,204, 215, 249, 269, 303, 304, 305, 324, 337,350, 444, 443, 449, 453, 462, 480, 540, 548,

553, 569, 595, 602, 619, 629, 651, 693, 696,739, 752, 758, 768, 769, 848, 849, 908, 952].convergence[962, 970, 971, 987, 1020, 1030, 1021, 1035,1051, 1067, 1078, 1081, 1161, 1172, 1184,1220, 1221, 1249, 1276, 1274, 1273, 1281,1311, 1334, 1333, 1363, 1382, 1394, 1458, 1466,1478, 1476, 1480, 1482, 1490, 1491, 1509, 1554,1559, 1564, 1570, 1592, 1610, 1666, 1668, 1671,1722, 1727, 1791, 1792, 1794, 1799, 1046].Convergent [1004, 1127, 1380, 1598, 155,156, 200, 451, 475, 502, 757, 821, 831, 865,866, 999, 1002, 1091, 1125, 1277, 1389, 1647].Conversion [1664]. convex[118, 217, 263, 413, 420, 604, 862, 959, 958,1138, 1420, 1613]. Convexity [1110, 611].Convexity-preserving [1110].Convolution [448, 933, 160, 445, 934, 941,1247, 1256, 1257, 1501]. Cook [1189].coordinate [281, 1448]. coordinates[1361, 1628]. corank [45]. corank- [45].corner [968, 1262]. corotational [194].Corrected [1295, 1097]. correcting [556].correction [169, 172, 734, 930, 972, 1465].corrections [311, 1443]. corrector[684, 1693, 1697, 1695, 1696]. Correlation[40, 133, 290, 984, 1492, 1798].corresponding [775, 1132]. Corrigendum[179, 283, 458, 642, 866, 1220, 1386]. Cosine[1781, 402, 517, 518]. Cotes [1212, 1761].counterexample [915]. counterpart [154].Coupled [1525, 107, 239, 240, 312, 471, 687,704, 727, 764, 1013, 1136, 1234, 1248, 1277,1408, 1504, 1547, 1705, 1805]. Coupling[414, 6, 47, 51, 57, 224, 339, 381, 418, 429,626, 735, 766, 827, 828, 1137, 1222, 1299,1332, 1530]. couplings [508]. covariance[551]. covariant [599]. Cox [540]. CQ [159].CQ-BEM [159]. crack [447]. cracks [214].Craig [1767]. Crank[565, 877, 1089, 1268, 1509]. Crank-Gupta[565]. criss [369]. criss-cross [369]. criteria[275, 1344]. criterion [208]. critical[612, 703, 1688]. critical-state [703].

8

criticality [1280]. cross [253, 297, 369, 777].cross-diffusion [253]. cross-section [297].Crouzeix [1162, 1230]. cubature[225, 775, 1279]. Cubic[1300, 35, 154, 216, 420, 536, 574, 776, 1133,1289, 1443, 1487, 1607, 1610, 1618]. curl[132, 498, 1007, 584]. curl-curl [498].current[6, 231, 230, 297, 616, 698, 1510, 1520, 1608].curse [1728]. Curtis [1770, 1771, 13, 634].curvature[191, 552, 701, 728, 763, 793, 1170, 1405].Curve [524, 192, 536, 594, 701, 1417].curved [182, 186, 625, 975, 1530]. curves[115, 189, 196, 198, 199, 292, 714, 748, 750,1546]. curvilinear [516]. cusps [1621]. cut[374, 1188]. Cycle [1765]. cyclic [568, 1448].cylinder [846]. cylindrical [1182].

D [64, 213, 301, 419, 437, 483, 502, 703, 1043,1151, 1196, 1274, 1294]. dam [1662].damage [1525]. damped [1191, 1493].Darboux [596]. Darboux-type [596].Darcy [47, 51, 131, 239, 240, 330, 471, 626,950, 1299, 1332, 1805]. Data[547, 677, 19, 182, 230, 320, 419, 538, 578,605, 604, 610, 611, 627, 748, 771, 894, 1010,1019, 1040, 1088, 1266, 1429, 1650, 1741,1766, 1767, 1773]. data-reduction [1266].DDFV [64, 309]. decaying [868].decomposable [1455]. decomposing [699].decomposition[111, 244, 255, 297, 428, 761, 823, 843, 852,895, 896, 919, 952, 1263, 1627, 1677, 1783].decompositions [254, 326, 507, 506, 638,801, 1018, 1114, 1632, 1796]. decoupled[156]. Decoupling [1313]. Dedication[1064]. deep [300]. defect [311, 734, 172].deferred [734, 930]. deficient [221].definite [947, 1479, 1579]. definiteness[208]. defocusing [3]. Degasperis [509].Degenerate [1079, 9, 397, 413, 789, 837,881, 1123, 1608, 1711, 1724]. degree[404, 473, 1110]. Delay [914, 149, 151, 219,

323, 358, 916, 915, 1015, 1240, 1451, 1545,1691, 1763, 1797, 1045, 1697].delay-integro-differential [1797]. delays[351, 353, 1015, 1024, 1672]. delta [141].Delves [54]. Delves-Lyness [54].denominator [604]. density [426, 698, 799].depend [1666]. dependent[6, 30, 94, 160, 162, 168, 176, 237, 241, 346,502, 560, 586, 677, 681, 914, 961, 981, 994,1014, 1121, 1144, 1152, 1268, 1338, 1502,1633, 1724, 585]. derivation [1153].derivative [478, 523, 606, 779, 875, 1218,1454, 1517, 1638, 1804]. derivative-free[478, 523, 1218]. derivatives [289, 669, 1352,1359, 1475, 1651, 1652, 1683, 1725, 1782].derived [1324]. Descent [36, 281, 552, 553,564, 582, 908, 1080, 1448, 1799]. describing[243]. Design [1161, 1656, 837, 1655].determinants [1054, 1689].Determination [885, 133, 606, 876, 991].deterministic [511, 832, 1246]. DeTurck[701]. Developments [1475, 863, 1412].Devising [506, 508, 507]. DG [971, 683, 932,1168, 1169, 1237, 1495, 1805, 1809, 584].DGFEM [1565, 1749]. diagonal [537, 1473].diagonally [394, 1581]. Difference[9, 4, 35, 33, 99, 165, 274, 277, 338, 429, 455,456, 502, 533, 549, 615, 637, 689, 731, 752,999, 1000, 1056, 1076, 1103, 1102, 1123, 1147,1148, 1182, 1233, 1260, 1276, 1274, 1273,1312, 1324, 1327, 1337, 1348, 1361, 1381,1508, 1566, 1584, 1637, 1638, 1640, 1647,1711, 1713, 1744, 1776, 1788, 1789].difference-type [1776]. differences[547, 818]. different [1664].differentiability [729]. differentiable[876, 1454]. differential[1, 91, 135, 151, 172, 219, 287, 323, 357, 358,378, 394, 402, 407, 424, 449, 452, 472, 679,690, 691, 696, 704, 713, 718, 723, 782, 785,794, 808, 847, 898, 906, 907, 914, 941, 946,979, 1007, 1017, 1015, 1033, 1050, 1070, 1082,1095, 1134, 1142, 1141, 1165, 1190, 1223, 1220,1221, 1225, 1232, 1240, 1243, 1260, 1270, 1283,

9

1284, 1285, 1318, 1345, 1357, 1368, 1383, 1392,1394, 1427, 1438, 1439, 1441, 1470, 1505, 1506,1513, 1532, 1568, 1586, 1628, 1657, 1672, 1684,1691, 1750, 1751, 1797, 1813, 1045, 1701].differential-algebraic [394, 1427].differential-functional [1813].differentiation[162, 395, 784, 937, 1061, 1135, 1757, 1778].diffuse [705, 1359]. diffusion[17, 99, 128, 152, 169, 203, 253, 286, 312, 322,341, 397, 400, 419, 427, 433, 437, 435, 436,473, 465, 503, 502, 541, 586, 617, 633, 653, 668,673, 682, 686, 688, 705, 708, 717, 725, 726, 747,792, 814, 833, 898, 926, 1034, 1085, 1093, 1087,1123, 1128, 1143, 1151, 1152, 1168, 1175, 1215,1231, 1233, 1234, 1236, 1242, 1246, 1262, 1261,1276, 1273, 1275, 1277, 1291, 1336, 1333, 1349,1373, 1375, 1381, 1382, 1384, 1411, 1458, 1472,1481, 1543, 1547, 1562, 1588, 1639, 1643, 1642,1675, 1722, 1724, 1748, 1763, 1767, 1809, 614].diffusion [587]. diffusion-uniform [1168].diffusions [12]. diffusive [1246].diffusivity [717]. digital [618, 860]. digits[1413, 1686]. dilute [194]. Dimension[953, 169, 474, 573, 725, 818, 968, 1336, 1338,1437, 1637]. dimension-splitting [968].dimensional [32, 90, 116, 205, 249, 296, 309,314, 330, 338, 347, 433, 495, 497, 515, 719,732, 736, 791, 814, 918, 962, 978, 1085, 1115,1135, 1198, 1211, 1219, 1237, 1269, 1273,1275, 1317, 1392, 1430, 1481, 1504, 1572,1584, 1598, 1717, 1767, 1768, 1769, 943].dimensionality [1728]. dimensionally [25].dimensions[9, 102, 134, 164, 207, 539, 720, 754, 931, 1016,1215, 1236, 1251, 1346, 1347, 1474, 1677].diminishing [938, 940]. diodes [29]. Dirac[419, 1445, 1788]. Direct[535, 712, 557, 897, 957, 1167]. direction[261, 460, 503, 502]. directions [876].Dirichlet [866, 11, 157, 422, 737, 745, 865,864, 1298, 1355, 1436].Dirichlet-to-Neumann [157]. disc [955].discontinuities [379, 380]. Discontinuous

[251, 349, 522, 759, 834, 1008, 1718, 27, 91,94, 113, 139, 195, 330, 340, 374, 381, 400,404, 415, 474, 462, 463, 498, 499, 508, 509,541, 620, 633, 636, 682, 717, 763, 838, 837,835, 833, 905, 1007, 1009, 1010, 1027, 1118,1123, 1160, 1187, 1270, 1294, 1338, 1337,1382, 1384, 1611, 1731, 584]. discovered[929]. discrepancy [1092]. Discrete[46, 84, 111, 223, 743, 753, 1096, 1122, 1205,1738, 2, 9, 64, 90, 123, 121, 159, 162, 201,252, 280, 302, 320, 356, 395, 474, 484, 515,595, 627, 674, 723, 734, 742, 771, 942, 961,1000, 1040, 1085, 1120, 1140, 1170, 1211,1282, 1321, 1480, 1570, 1588, 1609, 1641,1648, 1656, 1679, 1795, 587]. discrete-time[734]. Discretising [50]. Discretization[21, 312, 726, 886, 1316, 1357, 1373, 1582, 17,35, 56, 64, 84, 155, 157, 204, 239, 238, 234,240, 243, 325, 330, 333, 341, 416, 561, 629,652, 653, 670, 679, 700, 824, 898, 904, 907,963, 1043, 1049, 1055, 1105, 1142, 1141, 1161,1253, 1259, 1260, 1274, 1318, 1322, 1325,1381, 1386, 1387, 1420, 1451, 1458, 1525,1529, 1571, 1583, 1608, 1727, 562].discretizations[3, 63, 109, 296, 335, 419, 422, 453, 716, 786,848, 887, 987, 992, 1007, 1034, 1143, 1155,1163, 1314, 1629, 1705, 584, 585, 1046, 1701].discretized [39, 362, 387, 811, 873].Discretizing [454, 489]. discs [544]. disk[225]. dispersion [1069].dispersion-managed [1069]. dispersive[277, 1187]. Displacement [1005].dissipation [356]. dissipative [952, 1033].Dissipativity [1024]. distance [1528, 1743].distributed [146]. distribution[775, 821, 1686]. div [786, 795, 1472].divergence[64, 131, 751, 931, 1431, 1519, 1796].divergence-free[751, 931, 1431, 1519, 1796]. diverse [1580].Divided [1337, 547]. do [1463]. Domain[1627, 1677, 10, 104, 111, 157, 244, 255, 368,428, 625, 627, 735, 761, 813, 823, 852, 934,

10

952, 1018, 1187, 1261, 1263, 1273, 1362, 1571,1783, 1788, 1800]. domains[25, 28, 95, 96, 98, 131, 132, 137, 214, 342,468, 480, 686, 744, 811, 954, 1074, 1084,1146, 1263, 1461, 1343, 1442, 1496, 1519].dominated [152, 919, 1215, 1408].Donaldson [1516]. Doppler [1288]. double[1001, 1179, 1402]. double-well [1402].doubling [712, 923]. doubly [1343].Douglas [1480]. downdating [1539]. DPG[798]. drift [286, 397, 437, 435, 824].drift-diffusion [397, 437, 435]. drift-flux[824]. driven [407, 423, 436, 1148, 1243].drops [965]. Dual[1676, 268, 1185, 1401, 1492]. Dual-primal[1676]. duality [64]. due [968]. dumbbell[194]. Dynamic [22, 216, 329, 406, 510, 993,1156, 1190, 1385, 1525, 1549]. dynamical[256, 454, 1024]. Dynamics [3, 362, 733,739, 856, 1050, 1051, 1144, 1202, 1685].

E-based [6]. Eckhoff [1465]. eddy[6, 231, 230, 616, 1510, 1520, 1608]. edge[101, 1242, 1245, 1565, 1676]. edges [95].Editorial [77, 659, 1663, 1372]. Editorship[660, 1065]. educational [496]. effect[727, 1790]. effective [667, 1423]. effects[85, 1099, 1597]. Efficiency [855, 270].Efficient [286, 709, 1111, 1176, 1198, 1576,1577, 580, 839, 920, 1611, 1635].eigenelement [1172]. eigenpairs [262].eigenproblems [1446]. eigensystems[1651]. Eigenvalue[10, 545, 62, 214, 255, 272, 344, 398, 464, 490,494, 676, 790, 810, 816, 831, 1086, 1112, 1113,1159, 1198, 1326, 1331, 1329, 1330, 1464,1649, 1734, 1760, 1768, 1774]. eigenvalues[69, 302, 306, 322, 455, 566, 600, 804, 1084,1159, 1265, 1331, 1398, 1506, 1652].eigenvectors [1652]. Elastic [1481, 166,196, 198, 282, 410, 447, 559, 761, 1282].elasticity[276, 412, 506, 870, 1185, 1369, 1749, 1769].elastoacoustic [104]. elastodynamics

[85, 91, 845]. elastoplastic [232]. electric[248, 698]. electrical [312, 1091].electrically [297]. Electromagnetic [1083].electron [1144]. electrophysiology [55].electrostatic [544]. Element[1079, 11, 23, 27, 24, 28, 44, 43, 47, 51, 55, 62,63, 67, 92, 95, 101, 100, 106, 107, 110, 128,129, 130, 131, 132, 140, 155, 163, 164, 167,182, 183, 184, 185, 186, 172, 171, 187, 181,175, 176, 177, 178, 174, 193, 179, 180, 203,211, 213, 214, 224, 229, 231, 236, 235, 239,238, 247, 251, 258, 282, 301, 311, 312, 316,329, 332, 340, 373, 379, 380, 381, 384, 401,399, 407, 418, 412, 417, 415, 416, 448, 453, 461,476, 467, 464, 480, 481, 487, 492, 508, 522].element[549, 566, 594, 593, 602, 619, 635, 648, 650,656, 673, 674, 682, 700, 702, 698, 703, 704,720, 722, 738, 745, 744, 746, 761, 764, 762,793, 804, 813, 816, 821, 823, 827, 826, 838,837, 836, 853, 857, 865, 866, 864, 870, 924,925, 948, 950, 951, 961, 966, 967, 977, 978,993, 994, 995, 1008, 1009, 1013, 1016, 1027,1071, 1085, 1086, 1087, 1091, 1097, 1107,1115, 1122, 1131, 1136, 1137, 1143, 1154, 1162,1165, 1174, 1183, 1185, 1188, 1191, 1189, 1200,1201, 1203, 1209, 1213, 1224, 1230, 1231, 1253,1255, 1262, 1261, 1292, 1293, 1299, 1321].element[1326, 1334, 1336, 1332, 1349, 1351, 1369,1377, 1386, 1387, 1393, 1397, 1402, 1411,1420, 1431, 1436, 1439, 1440, 1451, 1458,1472, 1473, 1493, 1504, 1505, 1513, 1520,1530, 1532, 1533, 1535, 1538, 1547, 1563,1572, 1573, 1599, 1626, 1641, 1643, 1642,1653, 1667, 1669, 1676, 1706, 1727, 1719,1735, 1768, 1769, 1777, 1785, 1804, 1801, 563].elements[26, 127, 134, 228, 317, 404, 418, 414, 425,427, 497, 572, 678, 688, 732, 783, 820, 878,881, 931, 965, 1083, 1098, 1127, 1155, 1197,1228, 1245, 1349, 1350, 1381, 1399, 1486,1519, 1536, 1558, 1592, 1639, 1800].elimination

11

[408, 481, 879, 1415, 1632, 1780]. Elliott[1516]. Elliott-Donaldson [1516]. ellipses[538]. elliptic[2, 41, 45, 66, 67, 88, 127, 163, 182, 184, 185,186, 258, 260, 278, 291, 332, 336, 338, 373,392, 398, 401, 399, 434, 475, 463, 479, 522, 531,564, 593, 635, 648, 650, 655, 669, 700, 702, 713,718, 759, 794, 816, 835, 857, 865, 866, 910, 925,991, 1008, 1007, 1009, 1010, 1027, 1103, 1118,1122, 1129, 1134, 1201, 1248, 1264, 1294, 1298,1346, 1362, 1380, 1464, 1512, 1599, 1643, 1642,1670, 1765, 1783, 1786, 1794, 1807, 562, 584].elliptic-hyperbolic [648]. emanating[257]. embedded [379, 641, 642].embedding [1453]. embeddings [360].empirical [822]. enclosures [38]. End[209]. endpoint [1468]. endpoints [799].Energy [250, 938, 1097, 560, 630, 830, 886,1402, 1656, 1669, 1717]. energy-based[1669]. Energy-corrected [1097].energy-dependent [560].Energy-diminishing [938].Energy-preserving [250, 1717]. enhanced[1684]. enhancement [923, 1337].Enhancing [1760]. Enlarged [37]. Enright[979]. ensemble [919]. ensemble-proper[919]. ensembles [920]. ensuring [719].enthalpy [667, 697, 1213, 1635, 1713].enthalpy-type [1635]. Entries[70, 1054, 1518]. entropy [845, 1496, 1795].Envelope [847, 1]. enveloping [1291].environment [684]. epidemic [1246].equal [821]. equality [1310, 1370]. equally[1443]. equation[1, 3, 5, 19, 35, 38, 90, 94, 106, 113, 120, 122,125, 124, 127, 155, 156, 167, 169, 211, 240,248, 296, 313, 316, 325, 324, 350, 362, 387,395, 407, 419, 425, 427, 432, 447, 448, 451,461, 468, 462, 484, 489, 500, 509, 515, 533, 546,560, 561, 565, 601, 616, 619, 624, 645, 668, 670,672, 673, 684, 704, 710, 724, 728, 733, 737, 736,753, 763, 777, 794, 808, 823, 829, 830, 836, 873,898, 910, 913, 921, 922, 934, 947, 954, 955, 986,999, 1000, 1025, 1023, 1022, 1047, 1069, 1093].

equation[1088, 1108, 1111, 1161, 1178, 1181, 1191,1190, 1189, 1196, 1207, 1219, 1228, 1239,1250, 1265, 1278, 1293, 1306, 1322, 1323,1335, 1361, 1373, 1377, 1383, 1381, 1382,1385, 1396, 1400, 1428, 1455, 1458, 1493,1524, 1544, 1548, 1563, 1561, 1562, 1595,1596, 1602, 1679, 1726, 1721, 1733, 1744, 1748,1759, 1777, 1776, 1781, 1801, 1810, 1811].Equations[21, 1079, 7, 9, 32, 33, 31, 53, 56, 63, 88, 91, 92,93, 102, 103, 123, 121, 128, 130, 131, 135, 140,142, 141, 149, 151, 153, 160, 162, 164, 182,183, 184, 185, 186, 172, 188, 218, 219, 222,227, 229, 233, 236, 239, 241, 240, 243, 245,249, 251, 250, 266, 265, 267, 277, 280, 285,286, 301, 323, 341, 348, 347, 351, 349, 353,356, 357, 358, 378, 385, 391, 405, 415, 437,436, 445, 444, 443, 449, 452, 473, 474, 465, 481,485, 497, 534, 548, 549, 564, 581, 583, 589].equations[593, 598, 612, 613, 629, 652, 656, 674, 679,686, 687, 688, 690, 691, 713, 717, 718, 741,744, 746, 747, 756, 761, 782, 785, 795, 800,805, 807, 847, 867, 871, 883, 884, 882, 887,905, 907, 909, 914, 916, 915, 923, 932, 941,946, 953, 962, 972, 977, 979, 991, 990, 988,992, 993, 998, 1007, 1017, 1033, 1049, 1050,1066, 1070, 1071, 1076, 1081, 1082, 1085, 1095,1094, 1096, 1103, 1102, 1105, 1121, 1119, 1120,1126, 1123, 1128, 1134, 1142, 1141, 1143, 1144,1147, 1157, 1158, 1163, 1165, 1173, 1182, 1187,1192, 1193, 1197, 1211, 1216, 1223, 1218].equations[1215, 1220, 1221, 1225, 1229, 1240, 1238,1237, 1243, 1256, 1257, 1258, 1259, 1260,1264, 1269, 1270, 1268, 1272, 1281, 1282,1283, 1284, 1285, 1287, 1307, 1308, 1317, 1318,1320, 1327, 1351, 1355, 1356, 1358, 1357, 1368,1369, 1371, 1380, 1384, 1392, 1394, 1411, 1438,1439, 1440, 1441, 1453, 1470, 1478, 1494, 1501,1505, 1507, 1513, 1514, 1532, 1542, 1543, 1546,1550, 1551, 1568, 1570, 1578, 1583, 1586, 1594,1593, 1598, 1606, 1603, 1604, 1605, 1612, 1613,

12

1620, 1623, 1622, 1627, 1629, 1657, 1672, 1675,1678, 1691, 1722, 1729, 1724, 1717, 1735, 1739,1750, 1751, 1765, 1763, 1767, 1782, 1794].equations [1797, 1809, 1813, 585, 1045, 1661,1701, 1698, 1697, 918]. equidistributing[1779]. equidistribution [433]. equilateral[1036]. Equilibrated [716, 542, 1396].equilibration [316]. equilibration-based[316]. equilibria [1568]. Equilibrium[1556, 39, 187, 672, 1202, 1571]. equispaced[126, 657, 778]. Equivalence[1434, 1445, 1772, 1773].equivalence-preserving [1445]. Errata[517, 658, 1284]. Erratum [60, 305, 364, 690,797, 971, 1112, 1226, 1330, 1625, 1771, 299].Error[19, 44, 67, 68, 98, 139, 164, 287, 337, 393, 403,461, 500, 533, 697, 724, 805, 1087, 1145, 1181,1215, 1233, 1268, 1354, 1403, 1413, 1414,1449, 1489, 1493, 1501, 1531, 1560, 1563,1584, 1637, 1640, 1716, 585, 23, 25, 27, 24,28, 86, 87, 89, 96, 97, 103, 106, 107, 128, 167,175, 177, 195, 213, 235, 241, 242, 243, 272,316, 325, 331, 329, 371, 372, 389, 392, 415,419, 426, 476, 472, 465, 463, 488, 541, 542,573, 594, 600, 612, 625, 633, 634, 636, 639,643, 685, 687, 702, 716, 764, 767, 817, 821].error [838, 835, 836, 833, 853, 864, 886, 905,918, 926, 974, 980, 992, 993, 1007, 1009, 1033,1040, 1080, 1090, 1095, 1094, 1119, 1120, 1128,1131, 1140, 1150, 1151, 1152, 1160, 1165, 1166,1167, 1168, 1169, 1171, 1174, 1175, 1200, 1207,1230, 1245, 1270, 1287, 1301, 1311, 1320, 1323,1341, 1369, 1396, 1400, 1412, 1415, 1421, 1429,1437, 1444, 1488, 1505, 1512, 1543, 1582, 1587,1626, 1648, 1667, 1707, 1715, 1725, 1732, 1766,1759, 1788, 1789, 1809, 587, 1700, 1694, 204].Errors[1704, 1296, 1344, 1450, 1712, 1786, 1790].Essential [273, 1298]. estimate[19, 243, 379, 476, 633, 651, 702, 1166, 1214,1230, 1707, 1789, 1809]. Estimates[221, 67, 68, 96, 98, 97, 107, 128, 162, 183, 185,204, 213, 287, 295, 359, 371, 392, 419, 461,

465, 463, 500, 533, 573, 625, 634, 716, 724,764, 805, 806, 838, 853, 864, 886, 896, 905,918, 926, 974, 993, 1040, 1090, 1121, 1119,1120, 1131, 1140, 1145, 1151, 1152, 1165,1167, 1168, 1245, 1270, 1268, 1287, 1332,1337, 1354, 1369, 1400, 1429, 1437, 1493,1501, 1537, 1543, 1549, 1563, 1587, 1626, 1637,1640, 1648, 1667, 1679, 1724, 1766, 1788, 587].Estimating [799]. estimation[44, 66, 96, 272, 321, 372, 389, 488, 639, 643,1093, 1171, 1174, 1175, 1223, 1311].estimator[103, 331, 541, 542, 1396, 1444, 1715].estimators [423, 1128]. Euler[540, 844, 932, 962, 972, 1184, 1211, 1317,1389, 1392, 1727]. Euler-type [1317].Eulerian [1722, 1724]. Evaluation[558, 1012, 122, 205, 207, 291, 420, 543, 603,839, 1001, 1100, 1389, 1409, 1414, 1522].evolution [53, 63, 161, 188, 266, 601, 957,988, 1081, 1322, 1323, 1629]. evolutionary[612, 671]. evolutions [192]. evolving[678, 679, 705, 1154, 1155, 1260]. Exact[279, 1006, 1522, 493, 1138, 1241, 1550, 1570].exactly [1431]. exactness [342]. example[1791]. exchange [500]. Existence[755, 526, 1095, 1482]. expansion[778, 1166, 1233, 1360, 1721].expansion-contraction [1360]. expansions[15, 328, 363, 1037, 1062, 1063, 1320, 1541,364]. Expected [772]. experiments [212].Explicit [1221, 1778, 1796, 33, 31, 93, 389,453, 898, 899, 980, 1081, 1272, 1302, 1427,1499, 1624, 1625, 1220]. exploration [1552].Exponential[989, 1564, 49, 266, 265, 315, 383, 431, 480,520, 715, 741, 998, 1031, 1053, 1069, 1132,1179, 1242, 1253, 1281, 1302, 1309, 1334,1333, 1368, 1428, 1586, 1587, 1595, 1731].exponential-fitting [520, 1595].Exponentially [831, 475, 868, 1596, 1646].exponentially-fitted [1596]. exponentials[1741]. expressed [52]. extended[784, 1692]. Extending [516]. extensible

13

[1573]. extension [694, 1673, 1775, 588].extensions [774, 1354]. exterior[164, 342, 381, 544, 720, 737, 735]. external[1506]. extrapolation[662, 734, 860, 1003, 1075, 1172, 1228, 1427,1501, 1576, 1577, 1590, 1716].

Faber [1442]. fabrication [944, 943]. face[688]. factor [1271]. factorization[281, 440, 446, 512, 658, 663, 661, 1511, 1134,1527, 1539, 590]. factorization-related[1134]. factorizations [862]. factors[996, 1507, 1631, 1802]. Falk [1789]. falling[32]. Families [640, 1750]. family [26, 436,1098, 1177, 1410, 1710, 1724, 1803, 1804]. far[1084]. Fast[205, 207, 291, 328, 721, 780, 846, 982, 1391,1680, 1720, 1757, 135, 210, 843, 942, 1043,1100, 1182, 1406, 1463, 1500, 1601, 1654].features [39, 1028]. Feedback [904]. Fejer[694, 695]. Fem[1275, 6, 66, 156, 339, 392, 413, 410, 411, 685,735, 809, 810, 1333, 1335, 1564, 1759].FENE [179, 180]. FENE-P [179, 180].Fermi [38]. ferromagnetic [1608]. FETI[1676]. few [1114]. FFT [942, 1457].FFT-based [942]. FFTRR [843].FFTRR-based [843]. Fickian [203].fictitious [735, 1362]. fidelity [699].Fiedler [592]. field [190, 248, 295, 476, 500,706, 698, 1131, 1140, 1637]. fields[544, 751, 854, 1084, 1292]. Fife [1140].filament [1615]. fill [658, 663]. film[32, 174]. Filon [1771, 634, 1721, 1770].Filon-type [1771, 1721, 1770]. filters [1650].finance [984]. Finding[609, 1195, 1281, 592]. Finite[11, 35, 100, 186, 187, 181, 176, 178, 180, 203,214, 258, 282, 338, 380, 407, 434, 594, 678,698, 704, 738, 813, 826, 853, 857, 881, 973,993, 994, 1079, 1115, 1191, 1189, 1262, 1374,1393, 1402, 1538, 1566, 1643, 1642, 4, 23, 26,27, 24, 28, 44, 43, 47, 51, 62, 63, 65, 67, 92, 95,99, 101, 106, 107, 110, 127, 128, 129, 134, 140,

155, 163, 164, 165, 167, 182, 183, 184, 185,172, 171, 175, 177, 174, 193, 206, 211, 213,216, 224, 229, 228, 231, 239, 238, 251, 253].finite[252, 274, 277, 308, 311, 312, 316, 317, 329,332, 373, 379, 397, 406, 418, 414, 412, 417,415, 416, 425, 427, 428, 429, 437, 435, 436,451, 453, 455, 456, 461, 476, 464, 487, 492,495, 497, 502, 510, 522, 533, 549, 566, 572,593, 602, 603, 619, 623, 648, 651, 650, 652, 656,673, 674, 682, 689, 688, 694, 700, 702, 707, 703,713, 722, 724, 725, 728, 727, 731, 745, 744, 746,761, 764, 762, 783, 793, 804, 814, 818, 820, 821,823, 827, 838, 837, 836, 865, 866, 864, 878].finite[924, 925, 948, 950, 951, 961, 965, 966, 967,999, 1000, 1008, 1009, 1013, 1016, 1021, 1056,1071, 1085, 1086, 1087, 1091, 1097, 1103,1102, 1107, 1122, 1127, 1131, 1135, 1136,1137, 1143, 1147, 1148, 1154, 1155, 1162, 1165,1174, 1183, 1185, 1188, 1197, 1200, 1201, 1209,1213, 1212, 1222, 1220, 1221, 1224, 1228, 1231,1253, 1255, 1261, 1276, 1274, 1273, 1292, 1293,1299, 1326, 1327, 1334, 1336, 1332, 1344, 1349,1350, 1351, 1361, 1377, 1381, 1385, 1386, 1387,1395, 1397, 1399, 1408, 1411, 1420, 1431, 1436,1439, 1440, 1451, 1458, 1472, 1473, 1493, 1504,1505, 1513, 1520, 1519, 1530, 1532, 1533].finite [1535, 1536, 1547, 1558, 1563, 1572,1573, 1584, 1592, 1599, 1616, 1626, 1637,1638, 1640, 1641, 1645, 1653, 1667, 1669,1676, 1706, 1711, 1713, 1726, 1727, 1735,1744, 1761, 1769, 1785, 1786, 1787, 1788,1789, 1800, 1804, 1801, 1814, 562, 179, 943].Finite-difference [338, 1566, 4, 274, 455,456, 731, 999, 1103, 1102, 1276, 1274, 1273,1361, 1381, 1637, 1713]. finite-dimensional[495, 1135, 943]. Finite-element[100, 186, 187, 203, 853, 857, 1191, 1189, 1393,1643, 1642, 27, 62, 67, 101, 163, 164, 182, 183,184, 185, 172, 171, 174, 213, 231, 239, 311,312, 373, 379, 476, 487, 593, 648, 682, 702,703, 746, 827, 925, 961, 966, 1009, 1086, 1131,1137, 1143, 1183, 1185, 1200, 1213, 1255, 1349,

14

1351, 1386, 1387, 1397, 1420, 1458, 1473, 1533,1572, 1573, 1599, 1626, 1669, 1676, 1735].finite-element-based [155]. finite-part[603, 623, 707, 1212, 1645, 1761].finite-range [1222]. finite-sum [216].Finite-volume [434, 65, 312, 437, 435, 487,510, 648, 652, 725, 814, 1021, 1385, 1786].Finite-volume-element [258]. First [1630,17, 222, 291, 349, 350, 412, 417, 450, 690,691, 882, 1057, 1233, 1258, 1317, 1604, 1605].first-kind [350]. First-order[1630, 17, 412, 417, 690, 691, 1057, 1233]. fits[171]. Fitted [184, 669, 17, 1021, 1596, 1726].fitting[520, 535, 538, 551, 578, 621, 622, 1595].FitzHugh [55]. fix [1448]. fixed[594, 1344, 1624, 1625, 1702]. Fletcher[36, 567]. Flexible [554, 481]. floating[760, 995, 1012]. floating-point [760, 1012].flow[26, 44, 51, 168, 191, 196, 234, 298, 299, 330,406, 471, 507, 680, 683, 701, 728, 763, 771, 811,812, 827, 828, 920, 949, 994, 1016, 1117, 1125,1194, 1224, 1402, 1481, 1497, 1564, 1705].flow-box [812]. flow-erratum [299]. flows[34, 32, 189, 242, 470, 522, 709, 843, 919,1170, 1255, 1565, 1641]. fluid[44, 100, 168, 680, 764, 767, 766, 813, 827,828, 1451, 1530, 1705]. fluid-structure[767, 813, 1451, 1530]. fluidized [493].fluids [243, 994, 1387, 1504, 1641, 1386].flux [169, 183, 185, 372, 477, 716, 824, 1011,1034, 1167, 1496, 1626]. fluxes [1332, 1396].Fock [1144]. focused [397]. Fokker [1022].following [14]. forces [174, 1445].Forchheimer [47]. forcing [1022]. form[112, 341, 666, 965, 996, 1255, 1614]. formal[54]. formalism [489]. forms [450, 723].formula [126, 162, 430, 579, 1179, 1601,1654, 1699, 1761]. formulae [33, 225, 424,596, 623, 640, 641, 642, 775, 946, 1006, 1279,1324, 1449, 1498, 1516, 1623, 1622].formulas[159, 368, 396, 784, 1145, 1418, 1655, 1656].

formulation [56, 168, 195, 236, 255, 285,341, 384, 426, 702, 698, 813, 871, 1326, 1406,1472, 1514, 1629, 1713, 1717]. formulations[193, 296, 542, 667, 817, 886, 934, 1163].forth [684]. Fortin [24]. forward[1344, 1357]. Four [1606, 1581, 1595].four-step [1595]. Fourier[565, 757, 967, 1004, 1059, 1062, 1206, 1269,1305, 1353, 1389, 1455, 1541, 1609, 1654].Fourier-finite-element [967].Fourier-series [565]. Fourth[274, 223, 455, 464, 652, 776, 835, 857, 893,1285, 1338, 1596, 1607]. Fourth-order[274, 223, 455, 464, 652, 776, 835, 857, 893,1285, 1338, 1607]. Fox [70, 659]. fractal[499]. fractals [12]. Fractional [1258, 11,86, 111, 278, 283, 284, 367, 395, 407, 655,824, 912, 1022, 1087, 1115, 1119, 1120, 1180,1190, 1199, 1323, 1335, 1382, 1384, 1638].fractional-order [1323]. fractional-step[1119, 1120]. fractions [291, 558]. fracture[330]. fractured [330]. frame [564, 1628].framework [555, 556, 952]. Francis [863].Fredholm[123, 222, 352, 545, 941, 1096, 1308]. free[8, 27, 266, 265, 276, 478, 523, 595, 686, 751,783, 795, 875, 931, 1019, 1078, 1218, 1224,1244, 1290, 1378, 1416, 1431, 1472, 1519,1749, 1796]. free-boundary [8].frequencies [346]. frequency[158, 631, 681, 978]. frequency-dependent[681]. frequency-independent [978].frictional [166]. frictionless [22]. friendly[1590]. front [1213]. front-tracking [1213].Full [21, 325, 540, 958, 1538].full-discretization [325]. Fully[2, 159, 674, 1040, 1641, 47, 90, 515, 961, 1000,1011, 1120, 1170, 1282, 1321, 1648, 1795, 587].function [236, 291, 365, 420, 531, 579, 778,779, 801, 846, 1053, 1132, 1138, 1199, 1352,1454, 1463, 1489, 1514, 1655, 1766].function-evaluation [420]. functional[252, 353, 385, 756, 1813]. functionals[666, 1342, 1479]. functions

15

[16, 54, 118, 205, 217, 321, 328, 345, 441, 479,554, 557, 597, 596, 604, 621, 653, 711, 799,868, 876, 895, 902, 933, 1001, 1042, 1067,1199, 1235, 1244, 1266, 1295, 1378, 1379,1409, 1416, 1449, 1463, 1517, 1552, 1579,1590, 1656, 1699, 1736, 1738, 1758].fundamental [991, 1116, 1471]. furnace[231]. Further [20, 222, 1412, 1687].

Galerkin[17, 27, 53, 56, 91, 92, 93, 94, 113, 123, 128,135, 139, 152, 173, 195, 227, 251, 260, 340,341, 349, 374, 381, 400, 404, 415, 443, 448,474, 471, 462, 463, 479, 484, 498, 499, 508,522, 541, 573, 613, 620, 633, 636, 681, 682, 717,734, 759, 763, 791, 815, 838, 837, 834, 835, 833,883, 905, 911, 1008, 1007, 1009, 1023, 1096,1107, 1118, 1160, 1165, 1166, 1187, 1190, 1216,1231, 1264, 1270, 1268, 1294, 1338, 1337, 1341,1349, 1375, 1377, 1382, 1384, 1391, 1404, 1436,1439, 1440, 1467, 1485, 1486, 1532, 1559].Galerkin [1561, 1564, 1606, 1604, 1605,1611, 1620, 1629, 1679, 1718, 1731, 1734].Galerkin-Chebyshev [1216].Galerkin-finite [92]. Galerkin-like [1559].games [287]. gamma [291]. GAOR [1730].gap [357]. gas [856]. gauge [489, 1268].Gauss [269, 376, 739, 996, 1354, 1418, 1479,1623, 1622, 1654, 1680, 1743]. Gauss-type[1623, 1622]. Gaussian [117, 191, 408, 854,1309, 1315, 1352, 1415, 1449, 1632, 1682].general[308, 375, 453, 473, 485, 617, 635, 652, 666,713, 726, 1025, 1022, 1033, 1454, 1494, 1519].general-order [1454]. generalization[445, 525, 548, 1068]. Generalizations[1286]. Generalized [354, 623, 729, 1048,1159, 1247, 1733, 243, 245, 796, 877, 1044,1108, 1145, 1222, 1359, 1431]. generated[396]. generates [850]. generating [441].generation [904, 1779]. generator [1267].genesis [863]. Geodesic [1536, 1529].geodesics [1702]. Geometric [351, 916,1017, 18, 141, 188, 694, 913, 1039, 1565].

Geometrically [1324, 340]. geometries[1182]. Geometry [523, 975, 1702]. Gevrey[1252]. Gibbs [14]. Gilbert[155, 156, 616, 670]. given [724]. Givens[632]. gives [611]. Global[138, 304, 305, 350, 389, 639, 643, 980, 1003,1587, 1671, 1712, 36, 796, 849, 891, 990,1030, 1105, 1171, 1799, 1752]. globally[200, 1002, 1081]. GMRES [37, 143, 1666].GMWB [1029]. Golub [1288]. good [1311].Gordon [1640, 1788, 489, 1678, 1717].Gottlieb [1465]. governing [1726]. Grad[786]. Grad-div [786]. graded [97, 673].Gradient [318, 330, 649, 1183, 39, 59, 64,108, 142, 189, 202, 263, 470, 541, 569, 570,651, 740, 765, 938, 1068, 1080, 1209, 1297,1402, 1491, 1503, 1597, 1709, 1760, 1799].gradient-like [39, 470].gradient-multigrid [1709]. gradients[557]. grading [95, 819]. Gram [850].graph [981, 1481]. Graphs [1519, 110].Green [653]. Grid [334, 206, 233, 398, 433,711, 904, 1002, 1236, 1276, 1508, 727]. grids[107, 668, 783, 895, 896, 933, 1226, 1515, 1801].Gross [676, 829]. ground [740].groundwater [1224]. group[721, 925, 1772]. groups [903, 1589, 1723].growing [1273]. growth[327, 403, 765, 1169]. GSVD [255].Guaranteed [1512, 1707, 542, 1029].guarantees [1419]. guard [1413]. Gupta[565]. Gurtin [322]. gyrokinetic [251].gyrokinetic-waterbag [251].

H [613, 795]. Hadamard[603, 707, 1212, 1645]. Hahn [1601]. half[1427, 1603]. half-explicit [1427]. half-line[1603]. Hamilton [338, 356, 1079, 1351].Hamiltonian [514, 631, 1205, 1238, 1557].Hammerstein [807, 1173]. hand[37, 1644, 1666]. Handling [552, 562].hanging [27]. Hankel [495, 1054]. Hardy[1655, 1656]. harmonic[480, 542, 826, 1272, 1510, 1574]. Hartree

16

[1144]. having [534]. HDG [105, 465, 505,507, 506, 546, 795, 1494, 1495, 473]. heat[23, 90, 240, 312, 461, 1161, 1335]. Heath[1164]. Hele [702]. Helfrich [886].Helfrich-type [886]. Helmholtz [158, 296,468, 546, 801, 1377, 1613, 1759, 1768].hemivariational [559, 738]. Hermite[116, 624, 739, 829, 1367, 1531, 1690].Hermite-type [624]. Hermitian [147, 790].Hessian [216, 794, 1754]. Hessians [491].Heston [50]. Heterogeneous[346, 2, 617, 726, 1541]. hexagons [878].hexahedral [228]. Hierarchical[158, 405, 723, 334, 359, 1278]. High[296, 390, 457, 458, 497, 589, 641, 642, 1154,1282, 1361, 1399, 1769, 1795, 15, 91, 158, 266,265, 277, 289, 321, 372, 422, 681, 716, 718, 818,937, 957, 969, 1035, 1036, 1062, 1063, 1188,1201, 1203, 1643, 1642, 1717, 1759, 1757].High-accuracy [457, 458]. high-contrast[372]. High-dimensional [497, 1769, 1717].high-frequency [158, 681]. High-order[296, 589, 641, 642, 1154, 1282, 1361, 1399,1795, 91, 266, 265, 277, 289, 422, 716, 718,818, 957, 969, 1201, 1203, 1643, 1642, 1757].Higher [1147, 1155, 204, 860, 1536, 1575,1710, 1787, 1701]. Higher-order[1147, 204, 860, 1575, 1787, 1701]. highly[346, 352, 357, 514, 631, 634, 1059, 1060,1226, 1416, 1545, 1721, 1770, 1771].highly-oscillating [1059, 1060]. Hilbert[858, 1343, 1521, 1671, 1682]. Hilliard[1189, 113, 178, 619, 888, 1385]. Hodge[285, 801]. HODIE [502]. hodograph[748, 750]. Holder [539, 1497]. Holm [1733].holomorphic [513]. homoclinic[257, 789, 1537, 1554]. homogeneous [777].homogenization [631]. homogenized[684]. homotopy [494, 598, 664]. Hood[170, 334]. Hopf [454, 884, 897, 1307, 1764].horizons [1220, 1221]. Householder [1681].hp [685, 1333, 1335, 1564, 1565].hp-DGFEM [1565]. hp-FEM[685, 1335, 1564]. HSS [145]. human [18].

Hybrid [422, 544, 773, 1283, 1284, 1360,1530, 330, 682, 683, 718, 726, 1203, 1569].hybrid-dimensional [330]. hybridizable[463, 636]. hyper [755]. hyper-singular[755]. Hyperbolic [777, 261, 438, 483, 521,637, 648, 724, 1049, 1076, 1102, 1337, 1532,1616, 1624, 1625, 1674]. hyperbolics [1057].hypercube [440]. hyperelastic [1582].hyperinterpolation [955]. hypersingular[405, 447, 484, 977]. hysteresis [1708].

identification [1290]. II [15, 132, 172, 522,643, 703, 840, 892, 944, 1055, 1060, 1486,1565, 1577, 1623, 1643, 1711]. III[1063, 1249]. ill [133, 1646]. ill-conditioned[133, 1646]. IMA[458, 642, 690, 1284, 1625, 1771, 517]. image[699]. IMEX [616, 1524]. IMEX-RK[1524]. IMEX-type [616]. immersed[924, 925, 1026]. impact [550, 1482, 1509].impedance [826, 1091]. implementation[13, 143, 1037, 1075, 1500]. Implicit[429, 1287, 1612, 1713, 34, 32, 33, 31, 148,229, 243, 261, 367, 375, 378, 390, 394, 424,500, 529, 528, 593, 700, 782, 847, 962, 1005,1082, 1259, 1381, 1429, 1540, 1542, 1571,1581, 1658, 1727]. implicit-explicit [31].implicitly [1328, 1641]. implies [1636].imposition [276]. Improved[651, 864, 1745, 154, 177, 1775, 1693].improvement [299, 390, 1134]. Improving[130, 1696, 1172, 1179]. including[101, 1497]. inclusion [342, 696]. inclusions[1345]. incompatible [771]. incomplete[1434]. incompressible[26, 102, 242, 243, 276, 709, 767, 766, 843,932, 949, 962, 990, 1185, 1211, 1255, 1386,1387, 1494, 1495, 1565, 1612, 1641].Increasing [1367]. indefinite[661, 1511, 1297, 1310, 1627]. indenting[181]. independent [854, 978]. Index[71, 73, 75, 78, 80, 82, 504, 1142, 1193, 1225,1427, 1568, 1585]. indicator [235, 835, 1007].induction [231, 1147, 1227]. industry [906].

17

inequalities [59, 87, 138, 193, 252, 628, 881,973, 1166, 1447, 1460, 1515, 1653, 1659].inequality[472, 559, 700, 702, 738, 857, 997]. Inertial[1701]. Inexact [263, 281, 36, 109, 217, 216,279, 466, 555, 790, 809, 908, 1755].inextensible [196, 198, 199]. Inf[334, 1185, 170, 1314, 585]. Inf-sup[334, 1185, 1314]. infinite [495, 539, 915,1220, 1221, 1296, 1551, 1590, 1598].infinite-dimensional [1598]. infinitely[1454]. inflation [1582]. information [216].Ingersoll [540]. inhomogeneous[741, 1087, 1630]. initial[48, 49, 308, 419, 483, 848, 1032, 1070, 1710,1767, 1700, 1694, 1695]. initial- [308].initial-value [1710, 1695]. inner[1112, 1113]. input [230]. instability[1597, 1636]. Instance [1162]. integral[117, 123, 121, 125, 160, 218, 222, 248, 254,295, 296, 347, 351, 349, 352, 350, 385, 396,405, 445, 444, 443, 447, 468, 484, 545, 548,583, 624, 628, 710, 755, 807, 839, 883, 882,909, 934, 977, 1023, 1047, 1066, 1096, 1158,1186, 1193, 1196, 1207, 1257, 1258, 1306,1308, 1317, 1320, 1406, 1470, 1507, 1546,1550, 1578, 1606, 1603, 1604, 1605, 1623, 1622,1627, 1721, 1745, 1751, 1781, 1661, 1698].integrals [291, 450, 543, 603, 623, 634, 666,707, 1001, 1006, 1059, 1060, 1212, 1318, 1468,1590, 1645, 1761]. integrating [48, 49].integration [13, 141, 219, 395, 403, 424, 618,672, 815, 822, 832, 861, 884, 938, 1111, 1129,1144, 1164, 1324, 1416, 1575]. integrator[156, 616, 662, 1428, 1731].integrator-based [1731]. integrators[266, 265, 294, 357, 383, 390, 514, 715, 939,976, 998, 1003, 1198, 1205, 1204, 1253, 1319,1404, 1445, 1557, 1580, 1658, 1685]. integro[135, 785, 808, 941, 1017, 1190, 1225, 1270,1283, 1284, 1383, 1439, 1441, 1505, 1532,1657, 1751, 1797]. integro-differential [135,785, 808, 941, 1017, 1190, 1225, 1270, 1283,1284, 1383, 1439, 1505, 1532, 1657, 1751].

integrodifferential [153, 348].integroparabolic [5]. intensities [230].interacting [1481]. interaction [100, 764,767, 813, 1013, 1014, 1222, 1451, 1764].interactions [119]. interest [1164].interface [373, 372, 380, 636, 818, 925, 1026,1043, 1201, 1263, 1599]. interfaces[184, 330, 705, 726, 1530]. Interior [373, 905,331, 371, 763, 838, 837, 862, 910, 1030, 1084].Interior-penalty-stabilized [373].interlocking [512]. intermediate [1804].interpolant [365, 606]. interpolants[892, 1300, 1306, 1307, 1433, 1463, 1610].interpolate [1053]. interpolated [461].interpolating [46, 1443, 1690].Interpolation [310, 355, 379, 578, 1245,1589, 96, 115, 126, 206, 319, 345, 361, 421,467, 523, 524, 574, 605, 604, 607, 677, 714,749, 748, 751, 754, 776, 778, 822, 869, 894,985, 1074, 1099, 1109, 1199, 1289, 1303, 1340,1403, 1435, 1487, 1531, 1618, 1766].interpolations [1806]. Interpolatory[1645, 209, 903, 1772]. interval[501, 597, 1095, 1212, 1692]. introduced[1055]. introduction [1267]. invariance[792]. invariant [325, 1649]. inverse[430, 469, 494, 731, 753, 755, 790, 881, 1328,1518, 1527, 1600]. inverse-type [881].inverses [1153, 1689]. Inversion[654, 880, 343, 1388, 1521]. inverting [1398].investigation [1249]. involutive[1232, 1684]. involved [658, 663]. Involving[982, 86, 201, 665, 1313]. IRK [796].irregular [1392, 1060]. irreversible [589].isoclinal [1316]. Isogeometric[333, 335, 89, 334, 486]. isolated [38].Isoparametric [62, 793, 343, 750].isothermal [1131]. Isotropic [1079].Iterated [883, 275, 347, 1054, 1490].iterates [390]. iteration[147, 146, 145, 197, 529, 555, 756, 784, 790,882, 1038, 1192, 1206, 1328, 1652, 1700].iterations [1227, 1597]. Iterative[531, 690, 691, 983, 1092, 1588, 591, 112, 114,

18

210, 226, 535, 709, 857, 927, 1134, 1149,1391, 1548, 1705, 1783, 1784]. iteratively[269]. IV [1035].

J [458, 517, 642, 690, 1284, 1625]. Jacobi[1079, 1351, 328, 338, 356, 647, 1601, 1682].Jacobi/elliptic [338]. Jacobian [550, 958].Jarrow [1164]. Jin [1571]. John [863].Jordan [30, 695]. Journal [1771]. jump[614]. jumps [1807].

Kamel [979]. Kantorovich [928, 1723].Karman [415]. Keller [253, 1533]. kernel[561, 624, 1383, 1521, 1546, 1604, 1605, 1721,1776]. kernels [310, 348, 445, 1315, 1657].kind [42, 123, 218, 222, 291, 349, 350, 883,882, 1023, 1096, 1258, 1308, 1317, 1449, 1606,1604, 1605, 1661, 1698]. kinetic [286, 1675].Kirchhoff [159]. Klein[489, 1640, 1678, 1717, 1788]. knots[657, 1019, 1244, 1378, 1443]. Kolmogorov[513]. Korteweg[533, 844, 1000, 1178, 1428, 1561]. Kronrod[1354]. Krylov [754, 1328, 1465].Kublanovskaya [863]. Kuramoto[5, 32, 451, 1250]. Kuramoto-Sakaguchi[5]. Kutta [640, 641, 642, 1581, 1625, 151,160, 218, 367, 377, 389, 390, 394, 424, 529,525, 526, 527, 528, 639, 643, 679, 899, 945,980, 1015, 1024, 1052, 1171, 1238, 1302, 1404,1429, 1499, 1542, 1556, 1568, 1596, 1624,1710, 1746, 1797, 1045, 1698, 1692].Kutta-type [1238].

L [993, 1261]. L-shaped [1261]. L. [70].L.M.F. [442]. L.M.F.-based [442]. l.s.d[1687]. Lagrange[89, 152, 275, 373, 985, 1074, 1485, 1486, 1690].Lagrangian[227, 958, 1041, 1163, 1492, 1722, 1724].Lagrangians [774, 1194]. Laguerre[1037, 1461, 1307, 1733]. Laguerre-type[1037]. Lambert [1540]. Lame [1396].laminar [1117]. Lanczos [1042, 1446].

Landau [670, 155, 156, 500, 616]. landscape[576]. Langevin [1150, 1202, 1358].Langevin-type [1358]. LAPACK [983].Laplace [120, 374, 480, 645, 753, 1071, 1322,1323, 1521, 1583, 1613]. Laplacian[797, 65, 86, 211, 285, 602, 1180, 1398].Laplacians [951]. Large[436, 217, 712, 874, 1085, 1086, 1218, 1288,1331, 1329, 1330, 1446, 1594, 1758, 1807].large-scale[712, 874, 1218, 1329, 1330, 1594].Large-time [436, 1086]. largest[1112, 1113]. later [863]. lateral [1481].lattice [391, 489, 1267]. Laurent [1305].law [325]. laws [438, 451, 499, 530, 788, 940,970, 971, 1011, 1124, 1148, 1337, 1341, 1566,1584, 1616, 1674, 1795]. Lawson [48, 1428].Lawson-type [1428]. Lax [1251, 1673].Layer [1234, 1677]. Layer-adapted [1234].layers [1242, 1334]. LBB [912]. LCP [1030].leading [1450, 1686]. leapfrog [1048]. Least[537, 610, 1350, 1802, 133, 215, 317, 440, 501,534, 538, 551, 773, 1244, 1288, 1310, 1359,1425, 1424, 1555, 1564, 1630, 1644, 1747,1792]. Least-change [1802]. Least-squares[537, 133, 317, 440, 501, 538, 551, 1555, 1644].Lebesgue [935, 1074, 1660]. leg [913].Legendre[942, 1012, 1216, 1461, 1306, 1454].Legendre-Laguerre [1461]. Leja[1074, 1660]. Leray [919]. Leslie [659]. level[469, 504, 722, 728, 1076, 1118, 1327, 1405,1585, 1659, 1768, 1777]. level-index[504, 1585]. Levy [1148, 1654].lexicographic [996]. library [1409]. Lie[431, 612, 903, 1319, 1723, 1772].Lie-algebraic [431]. Lifschitz [670].Lifshitz [155, 156, 616, 500]. like[39, 470, 982, 1216, 1217, 109, 1055, 1559].limit [1640]. limited [118, 552, 553, 908].limited-memory [118]. limiting[282, 868, 1034]. limits [365]. Lindelof[1038]. line [36, 444, 478, 1039, 1603, 1680].Linear

19

[427, 616, 877, 1312, 1636, 1694, 19, 22, 37, 45,48, 49, 59, 63, 69, 68, 112, 125, 133, 135, 144,142, 146, 156, 161, 193, 206, 226, 266, 265,273, 307, 375, 381, 412, 429, 440, 472, 474,464, 462, 483, 501, 506, 532, 534, 553, 558,569, 581, 601, 604, 635, 638, 645, 677, 709,713, 796, 800, 815, 852, 858, 879, 885, 908,911, 941, 964, 983, 988, 989, 1009, 1030, 1025,1033, 1049, 1075, 1106, 1119, 1149, 1192, 1209,1231, 1234, 1244, 1256, 1258, 1259, 1277, 1288,1292, 1296, 1338, 1342, 1344, 1357, 1410].linear [1424, 1450, 1451, 1460, 1474, 1479,1508, 1551, 1555, 1586, 1593, 1607, 1608,1644, 1684, 1732, 1727, 1731, 1736, 1737,1739, 1744, 1759, 1769, 1776, 1780, 1791,1800, 1811, 1046, 1249]. Linearization[52, 1690, 1612]. linearized [886, 1189].Linearly[34, 32, 1259, 1540, 166, 367, 1429, 1658].lines [1813]. linogram [1469]. Lions[428, 1263]. Liouville[223, 262, 306, 731, 799, 842, 893, 1003, 1489].Lipschitz [10, 902, 1081]. Lissajous[292, 714]. loading [285]. loads [718].Lobatto [1623]. Lobatto-Chebyshev[1623]. Local [21, 115, 571, 768, 769, 1314,1618, 1747, 1766, 102, 215, 270, 319, 350,359, 381, 404, 462, 612, 620, 685, 765, 1030,1101, 1128, 1325, 1338, 585]. Locality [778].Localization [270, 732]. Localized[224, 1167, 1527, 995, 1722]. locally[27, 717, 902, 933, 1707]. locating [54].location [580, 1483]. locations [1179].Locking [1573, 1749]. Locking-free [1749].locus [150]. log [1129, 1419]. log-barrier[1419]. log-normal [1129]. logarithm [721].logarithmic [1546, 1604, 1605].logarithmic-kernel [1546]. logging [1538].Long [791, 1648, 830, 1573]. Long-time[791, 1648, 830]. Lorentz [1268]. loss [760].Low [844, 1468, 1535, 44, 102, 136, 158, 572,1016, 1228, 1241, 1287, 1688]. low- [158].Low-order [1468, 1535, 44, 102, 572, 1016].low-rank [136, 1241, 1688]. lower

[1592, 1812]. lowers [1740]. lowest[170, 635, 1805]. lowest-order [635, 1805].lumped [1397]. Lyapunov[947, 1328, 1598, 1712]. Lyness [54].

m [309]. m-DDFV [309]. MAC [853, 1287].MacCamy [322]. Mach [844, 1287].Maclaurin [1389]. macroelement [335].magic [822]. magnetic [1147].magnetodynamic [542].magnetohydrodynamics [1495].magnetostriction [156]. Magnus[266, 265, 1198]. majorant [768, 769].MALA [293]. managed [1069]. manifold[475, 1571, 1773]. manifold-based [475].manifold-valued [1773]. manifolds [18,148, 192, 304, 305, 578, 599, 769, 902, 1058,1101, 1214, 1248, 1366, 1393, 1470, 1701].many [754]. map [157]. mapping[439, 803, 1146, 1207]. mappings[513, 693, 1574, 1600, 1723]. maps[1179, 1298]. marching [1500]. Markov[511, 1192]. Maruyama [1184, 1392].Mason [1435]. mass [113, 802, 824, 871,1239, 1237, 1397, 1497, 1734].mass-preserving [1239, 1237]. matching[428]. material [943]. materials [166, 1608].matrices [30, 129, 221, 313, 445, 459, 469,482, 494, 537, 661, 1511, 755, 880, 937, 1020,1061, 1267, 1316, 1477, 1632, 1689, 1702,1703, 1730, 1742, 1756, 1758, 1778, 590, 592].Matrix [460, 654, 1331, 20, 40, 52, 144, 158,176, 281, 290, 330, 431, 550, 658, 663, 755,756, 806, 840, 870, 922, 986, 984, 1039, 1042,1077, 1095, 1094, 1157, 1227, 1241, 1339,1488, 1492, 1518, 1579, 1593, 1600, 1688,1690, 1734, 1740, 1752, 1810, 1811, 1812].matrix-fracture [330]. matrix-inverse[1600]. maximal [368]. Maximum[33, 97, 1151, 1323, 1516, 743, 1122, 1798].Maximum-norm [1323]. Maxwell[272, 277, 301, 489, 497, 542, 674, 826, 905,1187, 1268, 1272]. Maxwell-type [497].Mean

20

[462, 706, 701, 728, 763, 1039, 1170, 1637].Mean-square [462]. means [66, 1507].measurements [220]. mechanical [346].media[234, 277, 330, 406, 827, 828, 1187, 1497].medium [1196]. Medius [412]. Mellin[1501]. membrane [181]. membranes[212, 1582]. memory[118, 552, 553, 908, 915, 1789]. Mesh[1753, 17, 95, 503, 667, 669, 686, 766, 913,926, 1231, 1274, 1325, 1808]. mesh-free[686]. meshes[27, 97, 170, 182, 247, 280, 311, 329, 340, 351,428, 467, 473, 617, 673, 719, 725, 726, 786,881, 1017, 1174, 1175, 1185, 1234, 1242, 1245,1262, 1348, 1494, 1523, 1565, 1572, 1639,1677, 1714, 1760, 1779, 1785, 1786, 1787].Meshing [64]. metastable [409, 1646].Method[21, 1041, 2, 4, 7, 8, 14, 18, 36, 47, 51, 55, 93,95, 101, 102, 105, 108, 110, 123, 121, 131, 132,137, 138, 150, 152, 148, 163, 182, 172, 171,211, 213, 229, 231, 232, 237, 245, 247, 255,258, 261, 260, 262, 268, 269, 275, 276, 300,301, 303, 308, 314, 331, 371, 374, 372, 384,393, 399, 418, 422, 433, 439, 448, 451, 452, 455,456, 466, 460, 474, 465, 471, 464, 462, 463, 478,480, 484, 485, 488, 492, 494, 498, 499, 505, 531,548, 552, 567, 569, 570, 568, 572, 583, 593].method[599, 601, 602, 619, 624, 625, 635, 636, 644,645, 648, 650, 656, 674, 682, 683, 686, 689,692, 695, 696, 697, 712, 717, 718, 720, 722,730, 729, 733, 737, 736, 738, 745, 744, 746,747, 757, 759, 761, 764, 762, 768, 769, 783,798, 801, 804, 806, 814, 815, 816, 821, 827,829, 838, 841, 849, 852, 858, 865, 866, 869,875, 890, 897, 905, 908, 910, 919, 921, 927, 928,936, 941, 948, 950, 954, 956, 961, 959, 958, 966,967, 974, 977, 978, 979, 995, 999, 1004, 1028,1026, 1027, 1021, 1029, 1022, 1039, 1044].method[1068, 1070, 1075, 1081, 1086, 1091, 1089,1100, 1107, 1108, 1115, 1116, 1125, 1124, 1131,

1134, 1136, 1139, 1146, 1154, 1157, 1166, 1168,1169, 1173, 1182, 1190, 1193, 1200, 1201, 1207,1213, 1216, 1217, 1214, 1222, 1224, 1229, 1231,1236, 1237, 1241, 1261, 1263, 1265, 1264, 1269,1268, 1277, 1280, 1290, 1301, 1311, 1317, 1321,1325, 1336, 1338, 1341, 1349, 1360, 1362, 1371,1377, 1383, 1381, 1382, 1395, 1397, 1401, 1400,1419, 1406, 1411, 1422, 1423, 1427, 1431, 1436,1438, 1442, 1453, 1456, 1464, 1465, 1467, 1471,1484, 1485, 1486, 1493, 1494, 1495, 1500, 1503,1505, 1533, 1535, 1547, 1563, 1574, 1583].method [1590, 1596, 1599, 1606, 1604, 1605,1607, 1611, 1613, 1615, 1620, 1635, 1639,1638, 1640, 1653, 1654, 1659, 1711, 1729,1726, 1723, 1733, 1727, 1731, 1739, 1743,1769, 1775, 1774, 1777, 1776, 1784, 1785,1794, 1799, 1805, 1808, 1813, 563]. Methods[431, 654, 34, 31, 42, 43, 48, 49, 54, 57, 59, 58,92, 94, 107, 109, 112, 114, 119, 139, 144, 142,147, 146, 145, 149, 151, 153, 161, 173, 184,202, 205, 210, 215, 217, 216, 218, 222, 224,246, 251, 250, 259, 263, 274, 277, 279, 281,307, 312, 316, 332, 334, 340, 346, 348, 351,357, 367, 373, 375, 376, 377, 378, 380, 381,389, 391, 390, 394, 395, 398, 400, 401, 403, 402,404, 405, 412, 417, 415, 432, 444, 449, 457, 458,461, 477, 470, 473, 479, 508, 507, 506, 511].methods[517, 518, 520, 519, 529, 525, 526, 527, 528,535, 539, 541, 546, 549, 557, 564, 582, 589,598, 617, 626, 629, 639, 643, 669, 690, 691, 693,710, 713, 732, 734, 741, 753, 756, 761, 763, 765,766, 773, 780, 787, 794, 795, 796, 803, 832, 837,834, 843, 855, 862, 888, 889, 891, 899, 914, 913,924, 932, 935, 944, 943, 951, 968, 980, 1005,1009, 1013, 1015, 1016, 1024, 1025, 1023, 1032,1033, 1056, 1048, 1050, 1052, 1055, 1058, 1066,1071, 1087, 1096, 1097, 1111, 1114, 1117, 1118,1137, 1160, 1162, 1165, 1178, 1180, 1183].methods[1186, 1188, 1191, 1196, 1203, 1218, 1220,1221, 1225, 1226, 1240, 1238, 1250, 1254,1256, 1258, 1270, 1273, 1281, 1282, 1283,1284, 1285, 1286, 1294, 1297, 1299, 1302, 1308,

21

1312, 1316, 1334, 1332, 1337, 1342, 1344, 1351,1358, 1374, 1384, 1391, 1404, 1405, 1410, 1429,1439, 1441, 1468, 1476, 1489, 1499, 1513, 1526,1532, 1538, 1540, 1541, 1546, 1556, 1559, 1561,1568, 1569, 1570, 1575, 1576, 1577, 1581, 1588,1594, 1595, 1603, 1616, 1619, 1624, 1625, 1634,1643, 1642, 1657, 1667, 1671, 1691, 1705, 1710,1716, 1722, 1730, 1721, 1718, 1724, 1719, 1737,1745, 1746, 1754, 1765, 1757, 1770, 1771].methods [1786, 1787, 1788, 1790, 1796, 1800,1797, 1807, 1809, 614, 562, 591, 1045, 1661,1698, 1692, 1693, 1694, 1697, 1695, 1696].methods-overcoming [968]. metric[59, 449, 556, 1792]. MHD [962, 1502].MHSS [146]. micromagnetism [671].midpoint [1069]. mild [94, 341].mild-weak [341]. mimetic [562]. mini[130]. mini-element [130]. Minimal[1801, 139, 225, 1075, 1078, 1376]. minimax[581, 1303, 1810]. minimization[197, 200, 216, 222, 413, 570, 889, 958, 1138,1475, 1567, 1656, 1668, 1671]. minimizers[1808]. minimizing [217, 1112, 1113].minimum [611, 1029, 1534]. Mitchell [900].Mixed[236, 879, 1292, 1293, 1351, 1520, 1565, 6, 26,47, 51, 107, 152, 163, 193, 229, 232, 237, 241,285, 317, 341, 384, 393, 414, 425, 426, 617,619, 648, 650, 652, 669, 682, 745, 744, 746,761, 764, 807, 827, 852, 871, 1125, 1187,1332, 1439, 1472, 1495, 1569, 1629, 1768].mixed-primal [51]. mixing [293]. mobility[176]. mode [119, 1764]. model[18, 50, 55, 175, 176, 177, 180, 231, 238, 234,253, 271, 282, 288, 397, 406, 417, 429, 435,476, 487, 493, 706, 698, 699, 762, 824, 844,1131, 1164, 1219, 1233, 1246, 1271, 1274, 1292,1440, 1504, 1538, 1571, 1608, 1637, 1789, 179].modeled [57]. modeling [1190]. modelling[29, 140, 559, 1533, 1582]. models [25, 194,322, 510, 653, 703, 839, 891, 1510, 1525].modes [975]. Modification [968, 730, 1288].modifications [1449]. modified [153, 475,850, 867, 908, 1066, 1075, 1229, 1230, 1301,

1404, 1613, 1793, 1799, 1698, 1062, 1767].Modulated [1541, 998]. modulus [627].molecular [1202, 1685]. mollification [9].Mollifications [944]. Moment[285, 1416, 1220, 1221]. Moment-free[1416]. Monge [127, 1400]. Mono [424].Mono-implicit [424]. monodromy [664].Monotone [1289, 144, 522, 904, 911, 1218,1243, 1271, 1345, 1653]. monotonic[561, 605, 606, 894, 1776]. monotonicity[610]. Monotonous [38]. monotony [692].monotony-preserving [692]. Monte[539, 861, 1129, 1180, 1280]. Morley[804, 1777]. Morse [470]. mortar[131, 132, 213, 235, 301, 966, 1018, 1027].mortaring [967]. Morton [1164]. motion[407, 1405, 1440]. motivated [821, 908].moving [667, 702, 747, 1002, 1085, 1086,1274, 1350, 1359, 1735, 1747].moving-boundary [702]. MPFA [406].MR [458, 517, 642, 690, 1284, 1625]. Multi[485, 1238, 32, 141, 175, 176, 177, 271, 958,1002, 1144, 1237, 1584, 1768]. multi-block[958]. multi-component[175, 176, 177, 271]. multi-configuration[1144]. multi-dimensional [32, 1237, 1584].multi-grid [1002]. multi-level [1768].Multi-product [485]. Multi-symplectic[1238, 141]. multicomponent [888].Multidimensional[1208, 653, 747, 1486, 1524, 1552].multidomain [800, 1325]. multifacility[580]. Multigrid[505, 1619, 138, 708, 869, 872, 889, 996, 1043,1456, 1709, 1765, 1794, 1807].multigrid-type [869]. multilag [153, 1066].Multilevel [129, 340, 751, 609, 1430, 1774].multiparameter [344]. multiphase [845].multiphysics [762]. multiple [2, 37, 214,566, 1015, 1333, 1353, 1614, 1644, 1775].Multiplicative[1488, 114, 715, 1165, 1239, 1253].multiplier [373]. multipliers[89, 275, 1018]. multiply [1146].

22

multiply-connected [1146]. multipole[1406]. multiprocessor [440].multiquadric [206, 754]. multiquadrics[361]. Multiscale [479, 2, 103, 168, 346, 497,1011, 1215, 1541, 1653, 1757, 1769].multisplitting [144]. multistate [1219].Multistep[402, 988, 1049, 1058, 31, 161, 307, 403, 532,601, 1070, 1256, 1258, 1410, 1567, 1692, 1694].multivalue [378]. multivalued [1345].multivariate [535, 618, 832, 903, 1063].Mysovskii [109].

Naghdi [238]. Nagumo [55]. narrow[467, 593]. Natural [248, 154, 1509]. Navier[7, 21, 102, 130, 140, 204, 237, 233, 236, 249,393, 746, 757, 805, 918, 961, 990, 1004, 1105,1287, 1494, 1612, 585]. Near[225, 1303, 1304, 1305, 1433, 1568].Near-best [1304, 1305, 1433].Near-minimal [225]. Near-minimax[1303]. nearest [290, 984, 1492]. nearly[761, 1185, 1485, 1486]. nearness [40].negative [281, 306, 796]. nets [860].Neumann[98, 97, 137, 157, 182, 186, 214, 295, 434, 736,771, 1298, 1356, 1677, 1725, 1748]. neutral[38, 362]. neutron [1280]. newest [819].Newton [14, 18, 53, 109, 114, 143, 217, 269,279, 290, 314, 466, 555, 599, 712, 729, 759,768, 769, 888, 889, 928, 1153, 1157, 1192,1214, 1212, 1229, 1371, 1419, 1574, 1729,1723, 1743, 1754, 1761, 1802, 1803, 1700].Newton-like [109].Newton-Mysovskii-type [109].Newtonian [242, 243, 522]. Newtonlike[1790]. NEWUOA [1475]. Nicolson[877, 1089, 1268, 1509]. Nitsche[276, 372, 422, 488, 966, 967]. no[458, 517, 630, 642, 658, 663, 690, 1284, 1625].no-fill [658, 663]. nodes[27, 368, 714, 1353, 1623, 1622, 1680]. noise[94, 278, 715, 1148, 1165, 1239, 1243, 1253,1368, 1727]. noisy [133, 711]. Non

[302, 1095, 1429, 10, 95, 125, 203, 281, 381,428, 633, 645, 688, 815, 1030, 1081, 1094,1101, 1192, 1228, 1229, 1259, 1263, 1270,1292, 1298, 1331, 1345, 1395, 1608, 1808, 585].Non-autonomous [1095]. non-conforming[95, 688, 1228, 1395]. non-Fickian [203].non-globally [1081]. non-interior [1030].non-linear[125, 381, 645, 815, 1192, 1259, 1292, 1608].non-Lipschitz [10]. non-matching [428].non-monotone [1345]. non-negative [281].non-overlapping [1263]. non-periodic[152]. non-self-adjoint [1298].Non-smooth [1429, 1101, 1808].non-standard [1270]. non-stationary[633]. non-symmetric [1094, 1229, 1331].Non-variational [302]. Nonasymptotic[293]. Nonautonomous[307, 266, 265, 485, 1025, 1142].noncoercive [434]. noncompact[443, 1306]. Nonconforming[411, 416, 1420, 24, 193, 401, 427, 473, 572,726, 992, 1016, 1098, 1349, 1512, 1639, 1777].nonconservative [1544]. nonconstant[1044]. nonconvex[304, 305, 420, 555, 1127, 1671].nondefectivity [1703]. nondiscrete [1227].nonequilibrium [1202]. nonhomogeneous[11, 737]. Nonlinear[1496, 587, 3, 23, 33, 31, 51, 99, 121, 141, 215,234, 245, 250, 398, 461, 477, 492, 524, 528,530, 551, 554, 573, 586, 612, 633, 672, 674,676, 724, 733, 743, 745, 756, 759, 773, 808,809, 817, 825, 828, 830, 831, 890, 898, 906,955, 970, 971, 997, 998, 999, 1047, 1050, 1069,1075, 1107, 1106, 1116, 1122, 1126, 1130,1218, 1224, 1249, 1327, 1329, 1330, 1337,1343, 1355, 1356, 1380, 1397, 1436, 1478,1499, 1544, 1562, 1609, 1649, 1653, 1678,1679, 1717, 1754, 1777, 1802, 1797, 1810].nonlinearities [1081, 1497]. nonlinearity[416]. Nonlocal [12, 268, 55, 451, 653].nonmatching [107, 311]. nonmonotone[478, 1039]. nonnegative [441, 547, 947].

23

nonnormality [254]. nonoscillatory [328].Nonoverlapping [309, 1783]. nonperiodic[1443]. nonpolygonal [28]. nonpositive[552]. nonresidual [423]. Nonsimple[1621]. nonsingular [880]. nonsingularity[1703]. Nonsmooth [888, 902, 1113, 118,468, 556, 557, 576, 889, 1088, 1138, 1139,1755, 1767, 1791, 1661, 1112]. nonstandard[909]. nonstationary [275, 400, 1522].nonstiff [1410]. nonsymmetric [923, 1219].nonuniform [27, 503, 1108, 1110].nonunisolvent [421]. norm[33, 87, 97, 270, 474, 732, 905, 955, 1151,1323, 1360, 1534, 1600]. normal[594, 1020, 1129]. normalized [740]. norms[20, 111, 539, 573, 716, 840, 1528, 1752].note [246, 317, 365, 507, 512, 658, 663, 837,1034, 1217, 1523, 1543, 1657]. novel [1726].nuclear [487]. number[137, 221, 295, 326, 747, 1759]. numbers[482, 1758]. Numer[458, 517, 642, 690, 1284, 1625]. numerator[604]. Numerical[29, 104, 119, 166, 188, 194, 189, 192, 220, 231,230, 257, 271, 278, 283, 284, 385, 409, 425,468, 477, 466, 509, 511, 517, 518, 521, 543,559, 560, 655, 706, 699, 705, 719, 771, 787,789, 794, 802, 807, 812, 830, 842, 947, 986,1001, 1072, 1093, 1104, 1135, 1156, 1157, 1158,1164, 1194, 1250, 1355, 1405, 1466, 1507, 1623,1622, 1646, 1708, 1737, 1771, 12, 120, 122,125, 124, 126, 127, 140, 141, 212, 219, 249,256, 262, 273, 286, 288, 314, 313, 344, 347,354, 397, 403, 424, 439, 445, 447, 470, 500].numerical[514, 548, 645, 669, 672, 696, 757, 758, 770,782, 803, 805, 825, 841, 893, 899, 916, 915, 960,985, 991, 1004, 1022, 1032, 1040, 1044, 1050,1059, 1060, 1081, 1095, 1107, 1112, 1113, 1178,1198, 1220, 1221, 1232, 1240, 1246, 1249, 1252,1271, 1277, 1283, 1284, 1308, 1320, 1323, 1324,1339, 1376, 1383, 1394, 1416, 1442, 1482, 1501,1504, 1521, 1537, 1550, 1554, 1555, 1561, 1562,1575, 1594, 1593, 1595, 1596, 1602, 1616, 1654,

1683, 1684, 1709, 1712, 1757, 614, 1700, 1698].numerical-analysis-focused [397].Numerically [862, 590, 680, 944, 943].numerics [684, 906]. Nystrom[583, 1306, 296, 640, 641, 642, 645, 884, 1137,1307, 1484, 1581]. Nystrom-product [884].

O.D.E. [442]. observability [719].observation [40]. obstacle [411, 595, 1719].obstacles [1482]. obtain [1691]. obtaining[1422]. ODE [550, 1578, 1712]. ODEs[319, 712, 1410, 1576, 1577, 1796]. Oldroyd[1440]. One[1567, 1633, 37, 90, 169, 245, 314, 338, 433,474, 515, 573, 696, 719, 791, 814, 818, 907,913, 936, 1085, 1195, 1198, 1219, 1273, 1336,1338, 1392, 1426, 1437, 1481, 1572, 1637].one-dimension [1637]. one-dimensional[90, 314, 338, 433, 515, 719, 791, 814, 1085,1198, 1219, 1273, 1392, 1481, 1572]. one-leg[913]. One-shot [1633]. One-step[1567, 696, 907, 936, 1195]. only [1791].onto [14]. open [1781]. operations [1413].Operator [264, 1364, 131, 132, 273, 280,374, 443, 485, 498, 564, 755, 804, 955, 952,957, 1111, 1306, 1363, 1371, 1620].operators [64, 131, 132, 163, 247, 254, 283,284, 295, 302, 352, 490, 495, 545, 655, 725,742, 797, 809, 911, 1018, 1107, 1210, 1312,1348, 1499, 1506, 1628, 1634, 1682]. optical[944, 943]. Optimal [16, 41, 173, 172, 171,243, 289, 311, 321, 336, 382, 577, 615, 625,671, 819, 838, 861, 958, 1041, 1086, 1165,1230, 1517, 1528, 1616, 1644, 1679, 1788, 588,86, 108, 204, 332, 341, 461, 466, 483, 566,633, 718, 809, 905, 930, 940, 1090, 1162,1163, 1332, 1430, 1451, 1498, 1742, 1786].optimal-order [1786]. Optimality[211, 60, 61, 810]. optimization[43, 59, 60, 61, 87, 279, 304, 305, 420, 523,554, 555, 556, 568, 711, 890, 1080, 1139,1241, 1419, 1476, 1552, 1614, 1633, 1688,1723, 1755, 1791, 1793]. Optimized [626].option [1466, 1726]. options [1021]. orbits

24

[256, 257, 403, 789, 1365, 1568]. Order[367, 378, 519, 602, 1057, 17, 27, 44, 48, 49, 60,61, 69, 91, 102, 113, 170, 204, 223, 258, 261,266, 265, 274, 277, 289, 296, 382, 390, 402,407, 412, 417, 422, 455, 461, 474, 464, 463,540, 572, 589, 607, 616, 617, 619, 635, 641,642, 650, 652, 690, 691, 713, 716, 718, 776,791, 816, 818, 835, 855, 857, 861, 860, 873,893, 910, 936, 937, 946, 957, 968, 969, 1009,1010, 1016, 1043, 1067, 1070, 1102, 1118,1147, 1154, 1155, 1172, 1188, 1190, 1201, 1203,1210, 1228, 1233, 1251, 1275, 1282, 1285].order [1289, 1323, 1338, 1361, 1383, 1399,1454, 1468, 1535, 1536, 1570, 1575, 1596,1607, 1630, 1643, 1642, 1710, 1761, 1762,1757, 1773, 1776, 1786, 1787, 1792, 1795,1806, 1805, 1701, 1695]. orders[345, 1199, 1581]. ordinary[91, 172, 378, 696, 782, 847, 907, 946, 979,1050, 1082, 1223, 1232, 1506, 1684, 1750].orientation [727]. origin [1020].Orthogonal [808, 982, 1417, 261, 396, 721,919, 1037, 1441, 1539, 1589, 1737, 1743].orthonormal [597, 596].orthonormalization [1146].orthonormalizing [868]. oscillating[1059, 1060]. Oscillation[893, 15, 1035, 1036, 1062, 1063]. oscillators[1060]. oscillatory[117, 346, 352, 357, 514, 631, 634, 1001, 1416,1545, 1590, 1721, 1770, 1771]. Oseen[571, 786, 1314]. output [1342, 1526].Overcoming [1099, 968]. overdamped[1150]. overdetermined [534, 1478, 1739].Overflow [760]. Overlapping[668, 1263, 1763]. overrelaxation[956, 1301].

P [179, 1221, 180]. p.d.e.s [848, 246].packet [739]. pair [170]. pairs[1171, 1185, 1649]. panel [481, 1158].pantograph [432, 913, 1025]. paper[283, 971]. parabolic[9, 34, 33, 31, 53, 63, 183, 245, 246, 266, 327,

503, 613, 679, 716, 734, 741, 742, 743, 770,821, 846, 852, 864, 930, 953, 969, 1104, 1107,1106, 1119, 1120, 1126, 1123, 1156, 1154,1155, 1183, 1259, 1260, 1274, 1327, 1355,1356, 1357, 1397, 1408, 1438, 1439, 1441, 1505,1526, 1575, 1583, 1599, 1629, 1648, 1711, 1745,1782, 1785, 1786, 1787, 1813, 1701, 1697].Parallel [161, 784, 997, 831, 957, 1052, 1583,1730, 1783]. Parameter[795, 1223, 1472, 30, 262, 806, 1092, 1464].parameter-dependent [30].Parameter-free [795, 1472].parameterized [920, 919]. parameters[606, 612]. Parametric [136, 822, 154].parametrization [1365]. parametrized[430]. parareal [1762]. part[603, 623, 707, 1212, 1645, 1761, 1803, 591,131, 132, 212, 340, 473, 732, 1486, 1759].Partial [1041, 1, 402, 704, 713, 718, 785, 794,898, 906, 1007, 1132, 1134, 1141, 1165, 1207,1243, 1318, 1438, 1439, 1441, 1513, 1586].partially [234, 924]. particular [122].partition [686]. Partitioned [1502].Partitioning [1746, 964, 979]. partitions[150, 318, 1618]. patch [154]. patches [750].path [14, 1474]. path-following [14].Pathwise [1394]. PDE[43, 87, 483, 743, 839, 1274, 1633, 1046].PDE-constrained [43, 87, 1633]. PDEs[41, 136, 278, 336, 342, 392, 479, 516, 1009,1010, 1129, 1252, 1298, 1346, 1466, 1745,1775]. Peclet [747]. penalized [924].penalty [276, 331, 371, 373, 554, 625, 675,688, 763, 838, 837, 876, 886, 905, 910, 948,1029, 1138, 1241]. penalty-free [276].pencils [69, 273]. Penrose [1140].Penrose-Fife [1140]. perfect [1386, 1387].perfectly [297]. Performance [923, 1780].period [712, 1562]. Periodic[657, 901, 152, 403, 608, 898, 1070, 1365,1421, 1568, 1633, 1636, 1694, 1695].periodic/non [152].periodic/non-periodic [152].permutations [1448]. Persistence [907].

25

perturbation[446, 969, 1553, 1631, 1644, 1740, 1784].perturbations [1704]. perturbed[53, 67, 129, 371, 433, 459, 669, 752, 1151,1152, 1168, 1175, 1186, 1234, 1236, 1261,1277, 1333, 1344, 1349, 1348, 1643, 1642,1647, 1711, 1714]. Petrov[17, 173, 260, 341, 613, 1349, 1375, 1561].PH [749]. phase[34, 175, 176, 177, 190, 271, 328, 406, 476,573, 576, 644, 667, 791, 824, 1002, 1131, 1140,1224, 1290, 1370, 1436, 1437, 1489, 1497].phase-field [1131, 1140]. phase-function[1489]. phenomenon [1465]. Picard[712, 1038]. Piecewise [386, 894, 1432, 511,610, 677, 1209, 1235, 1348, 1474, 1650, 840].Piecewise-smooth [1432, 1235].piecewise-uniform [1348]. piezoelectric[85]. PIN [29]. Pitaevskii [676, 829].Pitaevskii-type [676]. Pivoting [1450].planar [124, 255, 447, 789, 1279]. Planck[1022]. plane[188, 1044, 1047, 1116, 1574, 1720].plane-wave [1044]. plasma [187]. plate[869, 1482, 1616]. Plemmons [1288].plotting [319]. plus [206, 699]. Poincare[1018, 1447, 1706]. point[4, 45, 147, 145, 202, 257, 259, 274, 455, 456,689, 747, 760, 817, 822, 825, 828, 862, 904,974, 1012, 1214, 1344, 1379, 1510, 1607, 1614,1638, 1643, 1642, 1714, 1764, 1784, 590].points [13, 126, 336, 712, 775, 897, 1073,1072, 1074, 1176, 1177, 1363, 1483, 1554,1621, 1624, 1625, 1660, 1688, 1786].Pointwise [926, 1090, 1152, 1166, 16, 41,332, 392, 630, 1043, 1167, 1400, 1725].Pointwise-in-time [1090]. Poisson[106, 122, 167, 325, 417, 636, 735, 771, 780,955, 1162, 1182, 1228, 1319, 1361, 1455].Poisson-Neumann [771]. Poisson-type[1182]. Polak [1799]. polar [1361]. pole[1182]. poles [596]. pollution[575, 1210, 1298]. Polya [208]. Polyak[1799]. polygon [645, 759, 1613]. polygonal

[480, 744]. polygons [516, 710, 1749].polyharmonic [205, 207]. polyhedral[98, 280, 954, 1494]. polymer [203].polymers [194]. Polynomial[348, 1038, 1197, 52, 206, 292, 386, 404, 523,598, 664, 695, 840, 1054, 1075, 1110, 1157,1303, 1390, 1409, 1414, 1433, 1459, 1560,1664, 1747, 1752, 592]. Polynomials[982, 52, 354, 355, 396, 885, 1012, 1037, 1306,1307, 1435, 1442, 1452, 1553, 1664, 1690].polytopes [318]. population [57, 733].poroelasticity [762]. porous[234, 330, 406, 827, 828, 1497]. posed[521, 1535]. posedness [1384]. positioning[1288]. positive[208, 796, 1485, 1486, 1510, 1579, 1702, 1741].positive-definite [1579].positive-definiteness [208].positive-semidefinite [1510]. Post [23].Post-processing [23]. posteriori[66, 86, 96, 103, 107, 162, 195, 212, 213, 238,234, 241, 242, 270, 272, 316, 331, 392, 415,426, 465, 488, 541, 600, 647, 687, 688, 716,817, 835, 836, 833, 845, 1007, 1009, 1121,1119, 1120, 1140, 1151, 1175, 1270, 1341,1369, 1396, 1415, 1421, 1443, 1444, 1505,1648, 1667, 1707, 1715, 1809, 587, 676, 1174].postprocessing [98]. Potential[1655, 132, 1006, 1047, 1116, 1402].potentials [141]. Powell [578, 622, 1619].power [1388]. powers [283, 284, 655]. Pre[1759]. Pre-asymptotic [1759]. precision[1344, 1516]. Preconditioned[146, 1705, 142, 290, 647, 927, 1597].preconditioner[387, 469, 790, 1278, 1430, 1510].Preconditioners [1456, 404, 441, 442, 486,851, 1611, 1614, 1677, 584].Preconditioning [1018, 1398, 111, 129, 226,244, 313, 340, 1472, 1473, 1558]. preconvex[1803]. Predictor[1693, 1695, 875, 1697, 1696].Predictor-corrector[1693, 1695, 1697, 1696]. prescribed

26

[368, 477, 594]. presence [174].Preservation [219, 788]. Preserving[450, 792, 115, 250, 319, 574, 604, 692, 749,748, 844, 1110, 1109, 1239, 1237, 1362, 1445,1487, 1571, 1717, 1789, 1796]. pressure[380, 387, 813, 972, 994, 1163, 1230, 1293].pressure-correction [972].pressure-dependent [994].pressure-robust [1163, 1230].pressure-stress [813]. pressures [26, 330].pricing [1029, 1466, 1726]. primal[51, 268, 1676]. primal-dual [268].primitive [113]. primitive-variable [113].principal [1468, 1728]. principle[768, 1092]. principles [743, 1122]. priori[89, 195, 329, 415, 426, 573, 600, 688, 764,1094, 1131, 1160, 1332, 1369, 1437, 1626,1714]. Prize [70]. probabilistic[891, 1355, 1356]. problem[6, 11, 17, 23, 24, 62, 67, 86, 85, 95, 101, 100,105, 104, 132, 139, 144, 166, 168, 187, 201,214, 228, 232, 237, 235, 239, 272, 314, 331,329, 332, 333, 335, 334, 352, 384, 386, 393,417, 411, 426, 433, 463, 480, 496, 571, 573,580, 625, 633, 636, 644, 649, 650, 676, 700,702, 697, 708, 720, 731, 735, 745, 752, 753,759, 764, 770, 786, 802, 813, 826, 834, 842,852, 856, 926, 927, 950, 961, 984, 995, 1090,1098, 1104, 1151, 1152, 1175, 1198, 1224,1231, 1233, 1236, 1261, 1276, 1273, 1299].problem[1310, 1314, 1326, 1349, 1355, 1356, 1397,1430, 1431, 1436, 1437, 1451, 1457, 1464,1480, 1484, 1492, 1535, 1549, 1633, 1635, 1638,1644, 1646, 1662, 1673, 1685, 1709, 1711, 1715,1725, 1718, 1719, 1754, 1768, 1774, 1805].problems[2, 4, 10, 44, 45, 47, 48, 49, 66, 87, 89, 98, 97,107, 108, 133, 147, 146, 145, 152, 158, 161,191, 197, 223, 224, 230, 255, 258, 259, 261,260, 262, 264, 274, 295, 296, 306, 308, 312,344, 371, 373, 372, 381, 398, 400, 401, 399,413, 416, 430, 434, 440, 453, 455, 456, 459,477, 466, 475, 464, 483, 488, 492, 494, 501,

503, 502, 521, 522, 527, 535, 541, 545, 586, 595,612, 635, 667, 669, 681, 682, 689, 716, 726, 734,737, 736, 756, 771, 790, 791, 798, 799, 810].problems[814, 816, 817, 818, 821, 825, 831, 832, 837,835, 833, 843, 845, 851, 855, 858, 865, 864,889, 893, 904, 920, 925, 930, 957, 958, 966,969, 974, 997, 1002, 1003, 1005, 1008, 1027,1032, 1043, 1047, 1070, 1085, 1107, 1106,1115, 1116, 1118, 1122, 1127, 1138, 1139,1156, 1154, 1155, 1159, 1160, 1162, 1168, 1169,1183, 1186, 1194, 1201, 1213, 1234, 1242, 1241,1262, 1275, 1277, 1290, 1294, 1324, 1331, 1329,1330, 1334, 1336, 1338, 1343, 1348, 1362, 1379,1407, 1420, 1425, 1424, 1471, 1472, 1484, 1489,1510, 1512, 1520, 1526, 1545, 1547, 1555].problems[1567, 1575, 1580, 1588, 1599, 1607, 1614,1626, 1643, 1642, 1646, 1647, 1648, 1649,1670, 1688, 1705, 1708, 1710, 1713, 1714, 1732,1723, 1749, 1753, 1783, 1784, 1785, 1786, 1787,1807, 562, 584, 587, 1700, 1694, 1695, 866].procedure [1477, 1783]. procedures [1567].Procesi [509]. process[540, 692, 1131, 1481]. processes[57, 99, 337, 511, 1149, 1150, 1542, 1654, 614].processing [23, 1585]. Product[13, 492, 1678, 395, 459, 485, 750, 884, 1129,1515, 1639, 1653, 1796]. products [1590].profile [868, 943]. programming[781, 862, 874, 959, 1139, 1370, 1754].progress [1446]. Projected[1568, 59, 263, 578, 1754]. Projection[21, 1603, 14, 102, 227, 444, 571, 572, 819,1314, 1340, 1376, 1634, 585]. projections[858]. projective [1371]. Prokhorov [449].prolate [201]. Prolongation [1204].Prolongation-collocation [1204]. proof[1592]. proofs [916, 915]. propagation[224, 453, 957, 1282]. proper [919].Properties[483, 1390, 1557, 1811, 1812, 12, 20, 215, 354,375, 378, 432, 514, 550, 567, 582, 742, 778, 792,840, 867, 1294, 1302, 1340, 1466, 1562, 1620,

27

1649, 1668, 1752, 1772, 1773, 1782, 1810].property [36, 549]. proportional [219, 351].protein [58]. proximal [958]. Prufer [262].pseudo [739, 1153]. pseudo-inverses[1153]. pseudo-spectral [739]. pseudorank[133]. Pseudospectra [1756, 369].Pseudospectral [1285, 779, 800, 1028, 1250,1269, 1461, 1329, 1330, 1339]. pseudostress[384, 426, 1326]. pseudostress-based [426].Ptak’s [1227]. punch [181]. Pure [56].pyramids [1399]. Pythagorean [748, 750].Pythagorean-hodograph [748, 750].

Q [1639]. QP [774]. QR [863]. quadrant[512]. Quadratic[134, 366, 1634, 1786, 303, 331, 536, 605, 606,604, 765, 862, 874, 894, 922, 986, 1030, 1133,1139, 1370, 1417, 1531, 1610, 1688, 1785].Quadrature[396, 710, 1546, 117, 149, 260, 368, 448, 623,934, 1059, 1060, 1145, 1193, 1247, 1309, 1323,1352, 1397, 1418, 1449, 1479, 1498, 1583, 1623,1645, 1672, 1680, 1682, 1699, 1751, 588, 1622].Quadratures [1353, 1257, 1354].quadrilateral [467, 1785, 1786, 1787, 1801].Qualitative [867, 12, 742]. qualocation[644, 1438]. quantification [1083].quantiles [1423]. quantum [110]. quartic[657]. Quasi [1129, 1163, 1332, 1358, 1803,84, 193, 242, 247, 266, 265, 361, 408, 467,522, 566, 718, 810, 861, 913, 1009, 1357,1421, 1479, 1618, 1715, 1153, 1754, 1802].quasi- [84]. quasi-continuum [1421].quasi-definite [1479]. quasi-geometric[913]. quasi-interpolation [361, 1618].quasi-linear [1009, 1357]. quasi-Magnus[266, 265]. Quasi-Monte [1129, 861].Quasi-Newton [1803, 1153, 1754, 1802].quasi-Newtonian [242, 522].Quasi-optimal [1163, 1332, 566, 718].quasi-optimality [810]. quasi-square[408]. quasi-static [1715].Quasi-symplectic [1358]. quasi-uniform[247]. quasi-variational [193].

quasi-Wilson [467]. quasicontinuum[630]. quasiconvex [1]. quasilinear[258, 399, 522, 953, 1008, 1437, 1714].quasimatrix [1681]. quasinonlocal [1222].Quasioptimal [423]. queueing [756].quintic [209, 749, 748, 1443].

R [370, 569]. R-algorithm [370]. R-linear[569]. radar [297]. radial[205, 365, 479, 778, 779, 801, 1067, 1199,1265, 1463, 1563, 1595, 1766]. radiation[201, 224]. radiative [560, 785, 884]. radii[917]. radiosity [124, 954]. radius[960, 1113, 1339, 1112]. Random[684, 1448, 221, 981, 1083, 1341].Randomized [618, 998, 832, 1703]. Range[275, 981, 1222, 1476, 1590].range-dependent [981]. Range-relaxed[275]. ranges [273]. rank [136, 221, 326,495, 638, 1241, 1426, 1688, 1702, 1740, 1812].rank-deficient [221]. rank-one [1426].rank-revealing [638]. rapid[15, 1035, 1036, 1062, 1063, 1290, 1582].Rate [809, 1554, 50, 138, 908, 994, 1394].rates [16, 204, 269, 304, 305, 324, 339, 670,820, 891, 1081, 1164, 1572, 1670, 1727, 1744].Rational[368, 878, 1031, 1094, 1591, 291, 363, 364,517, 518, 597, 596, 605, 606, 604, 842, 892,894, 930, 1053, 1328, 1449, 1699, 1738].rationals [46]. Raviart [635, 1162, 1230].Rayleigh [1563]. RBF [364, 363]. reaction[17, 99, 433, 503, 541, 792, 898, 1143, 1151,1152, 1175, 1234, 1236, 1246, 1273, 1277,1333, 1543, 1562, 1763, 1642].reaction-diffusion [17, 99, 503, 1246, 1277,1333, 1543, 1562, 1763].Reaction-diffusion-type [1642]. real[226, 444, 583, 917, 1298, 1304, 1308, 1309,1680, 1692]. real-valued [226]. Realistic[600, 1734]. reconstruction [1011, 1208].reconstructions [1505]. recovery [172, 171,541, 1183, 1209, 1517, 1616, 1760, 1804, 171].Rectangular

28

[646, 408, 783, 1242, 1639, 1756, 1778].rectangularly [1455]. rectilinear [580].Recurrence [597, 1012, 1601]. recursive[890, 1340]. recursive-trust-region [890].redistancing [722]. Reduced[845, 1526, 25, 356, 448, 806, 1694].Reduced-basis [1526]. reducible [1751].reduction [48, 49, 968, 1019, 1266].Redundancy [1617]. Reeves [36, 567].Referees [72, 74, 76, 79, 81, 83]. reference[771]. Refinable [359]. refined[27, 744, 746, 896, 933]. refinement[983, 1325]. reflection [856]. reformulation[141]. regime [612, 1640]. region[58, 148, 875, 890, 891, 902, 1476, 1671, 1791].regions[695, 914, 1132, 1279, 1455, 1693, 151].regression [523, 537, 1423, 1743]. regular[65, 206, 333, 388, 878]. regularity[84, 139, 162, 1252, 563]. regularization[216, 420, 699, 1135, 1757]. Regularized[145, 197, 215, 269, 295, 555, 728, 919].regularly [283, 284]. reiterated [1467].related[13, 451, 1131, 1134, 1357, 1522, 1632].relation [317]. relationship [57]. relative[672, 845, 1210]. relaxation [144, 1763].relaxed [275]. reliability [510, 1128].Remarks [1500]. remeshing [1490].removal [943]. removing [1728].reordering [901, 981]. Repeated [628].Representation [854, 495, 612, 949].reproducing [1521]. reproduction [1747].REQP [200]. reservoir [387, 429].Residual [213, 272, 488, 1715, 478, 783,1005, 1401, 1444]. Residual-based[272, 488, 1444]. Residual-type [1715].residuals [101]. residue [1696]. resistivity[1147]. resolution [127]. resolvent [1691].restart [765]. restarted [1042, 1328].restricted [501, 1153, 1580]. Restrictively[142]. result [796, 811, 1761]. results[8, 169, 412, 417, 444, 1078, 1452, 1480, 1542,1691]. Retarded [1550, 1158]. retrieval

[576]. revealing [638]. revelations [1687].reverse [491]. reversible [403]. revisited[496]. Ribiere [1799]. Riccati[923, 1095, 1094, 1219, 1229, 1594].Riccati-type [1095]. Ricci [793].Richardson [860]. Riemann[493, 1343, 1453, 1673, 1682].Riemann-problem-based [1673].Riemannian [18, 148, 192, 599, 769, 902,963, 1039, 1214, 1702]. right [37, 1644, 1666].right-hand [37, 1644]. right-hand-side[1666]. rightmost [1331]. rigid[181, 735, 1482]. Ritz [1505, 1563]. RK[1524]. RK4 [93]. RLW [921]. Robbins[1457]. Robin [186, 1093]. Robust[369, 372, 465, 1226, 1333, 1549, 1611, 1667,614, 13, 433, 722, 1108, 1163, 1197, 1230,1334, 1360, 1497, 1512, 1711, 1809]. rod[975]. role [313]. Ronald [900]. root[579, 1195, 592]. root-finding [1195, 592].roots [323, 1281]. Rosenbrock [1114]. Ross[540]. rotating [735, 965]. rotation[632, 1255]. Rothe [1107]. Rothe-Galerkin[1107]. rough [345, 1744]. rounding [1790].rule [1069]. rules [13, 321, 634, 1212, 1267,1295, 1309, 1352, 1645, 1672, 1716, 1751].Runge [151, 1625, 160, 218, 367, 377, 389,390, 394, 424, 529, 525, 526, 527, 528, 639,643, 640, 641, 642, 679, 899, 945, 980, 1015,1024, 1052, 1171, 1238, 1302, 1404, 1429,1499, 1542, 1556, 1568, 1581, 1596, 1624,1710, 1746, 1797, 1045, 1698, 1692].

Sabin [578, 622, 1619]. saddle[147, 145, 817, 825, 828, 1510, 1614, 1784, 590].saddle-point [147, 145]. safeguarded[1401]. Sakaguchi [5]. sample [523].samples [16]. Sampling[1515, 16, 68, 116, 1654]. Sandpiles [193].saturated [234]. saturation [1057]. scalar[940, 1008, 1341, 1566, 1584, 1795]. scale[140, 712, 874, 1218, 1236, 1329, 1330, 1400,1594]. scaleable [1360]. scaled [310]. scales[2, 1333]. scaling [1528, 1742]. scattered

29

[578, 1766]. scattering [254, 295, 447, 681,735, 806, 978, 1083, 1136, 1137, 1196].scheme[19, 135, 165, 169, 196, 198, 199, 227, 253, 325,406, 437, 435, 459, 476, 487, 500, 503, 502,510, 529, 544, 651, 714, 726, 728, 844, 853,873, 918, 926, 957, 962, 972, 1000, 1004, 1088,1102, 1105, 1106, 1119, 1126, 1140, 1148,1184, 1187, 1211, 1233, 1239, 1252, 1271,1275, 1287, 1385, 1482, 1497, 1502, 1509,1524, 1548, 1562, 1608, 1767, 1768, 1789].Schemes[649, 9, 32, 99, 113, 249, 252, 280, 309, 356,397, 429, 434, 436, 438, 483, 509, 533, 631,637, 651, 665, 724, 727, 752, 767, 766, 770,791, 877, 940, 945, 969, 1011, 1040, 1076,1103, 1147, 1251, 1327, 1361, 1367, 1368, 1496,1508, 1523, 1544, 1566, 1579, 1584, 1647, 1665,1673, 1674, 1717, 1744, 1772, 1773, 1795].Schmidt [850]. Scholes[430, 1108, 1726, 1046]. Schrodinger[3, 35, 141, 250, 265, 462, 612, 672, 830, 998,1069, 1181, 1198, 1239, 1237, 1265, 1268,1544, 1563, 1595, 1596, 1679]. Schur[851, 888, 1614]. Schwarz [114, 137, 309,626, 977, 1118, 1558, 1659, 1763, 1777].Schwarz-Neumann [137]. screens[248, 978]. SDEs [715, 1184]. search[36, 478, 557, 876, 1039, 1775].search-extension [1775]. Second[1010, 60, 61, 69, 113, 123, 126, 218, 258, 261,402, 407, 463, 616, 619, 635, 713, 816, 855,870, 873, 875, 883, 946, 1009, 1023, 1043,1070, 1096, 1102, 1118, 1210, 1275, 1308,1383, 1449, 1606, 1607, 1761, 1762, 1776,1804, 1661, 1698, 1695]. second-derivative[875]. second-kind [1308, 1661, 1698].Second-order [1010, 60, 61, 69, 113, 258,261, 402, 407, 463, 616, 619, 635, 713, 816,855, 873, 946, 1009, 1070, 1102, 1118, 1210,1275, 1383, 1607, 1761, 1762, 1776, 1695].second-order-accurate [1043]. section[297]. sectorial [601, 988]. Segel [253, 1533].segment [154]. Segre [1703]. Seidel [996].

selection [598, 945, 1425, 1753]. self[199, 302, 556, 667, 1210, 1298, 1634].self-adaptive [667]. self-adjoint[302, 1210, 1634]. self-avoiding [199].self-correcting [556]. Semi[356, 3, 45, 243, 495, 500, 962, 1085, 1211, 227].Semi-discrete [356, 1085, 1211].semi-discretizations [3]. semi-implicit[243, 500, 962]. semi-infinite [495].semi-Lagrangian [227]. semi-linear [45].semiaxis [583, 1308, 1309]. semibounded[1499]. semiclassical [612, 1181].semidefinite [490, 781, 1241, 1510, 1702].semidefinite-box-constrained [1241].Semidiscrete[1440, 168, 324, 864, 1087, 1575].semidiscretization [813]. semidiscretized[1056]. semilinear [34, 53, 416, 433, 644,1151, 1152, 1371, 1383, 1493, 1775].semismooth [14]. separable [889, 959, 958].separation [175, 176, 177, 271]. sequence[1422]. sequences [382, 618, 860].Sequential [1552, 60, 61, 1370]. series[15, 68, 383, 694, 854, 939, 1304, 1305, 1388,1389, 1455, 1609, 1683, 565]. Set[987, 268, 722, 728, 850, 1141, 1208, 1702].set-valued [1141, 1208]. sets[263, 421, 523, 1405, 1568]. setting [431].Several [1649, 397, 1251, 1672]. severe[760]. shallow [92, 93, 229]. Shanno [1477].Shanno-Toint [1477]. Shape[319, 604, 749, 748, 1109, 1487, 115, 574, 1789].Shape-preserving[319, 749, 748, 1109, 115, 574]. shaped[1261]. Sharp [419]. Shaw [702]. shear[994]. shear-rate- [994]. shell [238, 1272].Shepard [607]. shifted [126]. shifts[868, 1020]. Shishkin[926, 1231, 1242, 1262, 1523]. shock [856].shock-reflection [856]. shooting[1003, 1489]. Shor [370]. Short [915].shortening [701]. shot [1633]. shrinking[594]. side [1666]. sided [242]. sides[37, 1644]. Siewert [54]. significance [760].

30

significant [1686]. Signorini[422, 798, 1471, 1715, 1718]. Signorni [1626].Signorni-type [1626]. Sigurdsson [1540].similarity [856, 1524]. Simple[788, 25, 196, 198, 199, 667, 876, 1601].simplex [14, 557]. simplicial [318].simplified [559, 1533]. simulating [920].simulation [387]. simulations [220, 1482].simultaneous [1281, 1551, 1652]. Sinc[259, 1265, 1654, 1264, 1391].Sinc-collocation [259, 1265].sinc-Galerkin [1264, 1391]. sinc-Gauss[1654]. Single[233, 573, 644, 1224, 1436, 1437].Single-grid [233]. single-phase[573, 1224, 1436, 1437]. singly [375].singly-implicit [375]. Singular[896, 4, 247, 267, 306, 348, 445, 456, 543, 548,624, 647, 689, 755, 799, 895, 969, 1023, 1077,1176, 1177, 1193, 1295, 1313, 1383, 1623,1622, 1627, 1657, 1661]. singularities[966, 968, 1017, 1179, 1262, 1468].singularity [1528]. singularly[53, 67, 371, 433, 459, 669, 752, 1151, 1152,1168, 1175, 1186, 1234, 1236, 1261, 1277, 1333,1349, 1348, 1643, 1642, 1647, 1711, 1714].SIP [1286, 584]. SIP-DG [584].Sivashinsky [32, 1250]. sixth[650, 910, 1070]. sixth-order[650, 910, 1070]. size [202, 598]. skew[147, 937, 1061]. skew-Hermitian [147].skew-symmetric [937, 1061]. slice [1347].slice-based [1347]. slip [738]. Sloan [882].Slobodeckij [732]. slow [1559]. slowly[1389]. Smale [470, 1214]. small[291, 717, 1450, 1525]. smallest [1740].Smolyak [618]. smooth [125, 184, 625,1044, 1101, 1235, 1429, 1432, 1650, 1808].Smoothed [482]. Smoothing[1782, 466, 547, 610, 996, 1696].Smoothness[903, 1772, 321, 627, 861, 1362, 1367, 1617].snapshot [1598]. Sneyd [1767]. Sobolev[111, 197, 360, 577, 861, 912, 1199].

Sobolev-type [1199]. software [550].solenoidal [1430]. solid [100, 764, 1014].solidification [190, 1131]. Solution[394, 408, 982, 1106, 1219, 66, 67, 112, 120,125, 124, 230, 278, 296, 314, 313, 346, 347,373, 388, 445, 444, 447, 468, 466, 534, 535,548, 559, 565, 581, 624, 638, 645, 696, 735,771, 782, 842, 856, 893, 927, 947, 955, 997,1043, 1047, 1104, 1107, 1116, 1117, 1157,1178, 1194, 1198, 1232, 1240, 1248, 1246,1283, 1284, 1323, 1355, 1356, 1410, 1457, 1460,1501, 1507, 1544, 1550, 1555, 1563, 1561, 1594,1593, 1595, 1596, 1616, 1623, 1622, 1633, 1662,1684, 1709, 1729, 1739, 1810, 1661, 1700].solution-dependent [346]. solutions[65, 122, 127, 140, 165, 235, 319, 353, 386, 385,443, 509, 526, 608, 672, 724, 847, 857, 864,899, 909, 970, 971, 991, 1032, 1055, 1085, 1095,1116, 1320, 1366, 1380, 1394, 1455, 1471, 1478,1524, 1537, 1562, 1636, 1713, 1775, 1811].solvability [807]. solve[475, 598, 1068, 1361]. solver[493, 809, 1043, 1780]. solvers[662, 780, 1712]. Solving [229, 494, 664, 708,1379, 1578, 1586, 37, 182, 309, 485, 500, 580,756, 785, 843, 872, 921, 957, 1003, 1075, 1108,1139, 1207, 1229, 1310, 1348, 1718, 1717].Some [87, 150, 169, 444, 1308, 1340, 1551,1595, 1647, 25, 252, 354, 549, 637, 693, 791,1067, 1171, 1307, 1762]. SOR [1206, 1217].SOR-like [1217]. Soulie [24]. source[113, 438, 997, 1011, 1566, 1584]. Space[21, 94, 327, 9, 53, 63, 115, 197, 234, 243, 245,341, 379, 474, 530, 573, 613, 725, 737, 736,768, 821, 858, 873, 992, 1160, 1251, 1338,1437, 1629, 1671, 1729, 1801, 584].Space-Time [21, 327, 53, 1160]. spaced[1443]. spaces[360, 359, 577, 802, 861, 912, 925, 943, 1199,1371, 1434, 1521, 1655, 1656, 1669].spanning [1519]. Sparse[934, 1653, 43, 63, 136, 408, 459, 469, 482,658, 663, 662, 661, 895, 896, 1083, 1158, 1236,1331, 1477, 1508, 1539, 1670, 1669, 1758].

31

Sparsified [201]. Spatial[1318, 204, 277, 278, 748, 1381]. spatially[777]. SPD [656]. SPDEs [325, 1253, 1727].special [721, 796, 1589, 1692]. specified[538, 1159]. spectra [1210]. Spectral[5, 59, 240, 254, 342, 575, 981, 1023, 1196,1210, 4, 108, 131, 132, 152, 233, 236, 263, 301,340, 352, 404, 478, 582, 646, 714, 739, 780,799, 921, 941, 1117, 1136, 1181, 1182, 1272,1298, 1369, 1456, 1473, 1613, 1650, 1733].spectral/ [404]. spectral/difference[1182]. spectrum [1291, 1298, 1634]. speed[370]. sphere[208, 714, 775, 1180, 1278, 1550]. spherical[96, 714, 1182, 1272]. spheroidal [201].spine [18]. spiral [524]. Spline [421, 949,1561, 261, 348, 535, 537, 574, 605, 621, 723,748, 776, 859, 869, 1099, 1108, 1300, 1378,1379, 1441, 1487, 1607, 1610, 1647, 1683].spline-fitting [535]. splines[205, 207, 209, 334, 345, 359, 366, 486, 524,578, 622, 657, 749, 963, 1019, 1110, 1133,1244, 1266, 1289, 1390, 1403, 1443, 1483,1531, 1616, 1618, 1617, 1619]. split[450, 615, 829]. split-step [829]. split-steps[615]. Splitting [766, 49, 147, 264, 300, 324,357, 485, 589, 612, 665, 741, 767, 918, 953,959, 958, 968, 1111, 1126, 1124, 1144, 1181,1239, 1496, 1510, 1586, 1587, 1796].splittings [952, 591].splittings-convergence [952]. spreading[174]. Spurious[680, 1032, 899, 1055, 1380, 1562, 1636].SQP [849, 875]. square [408, 425, 462, 627].Squared [632]. squares[133, 215, 317, 440, 501, 534, 537, 538, 551,610, 611, 773, 1244, 1288, 1310, 1350, 1359,1425, 1424, 1555, 1564, 1630, 1644, 1747].squaring [313]. Stability[31, 63, 99, 112, 128, 152, 153, 218, 267, 388,470, 527, 619, 634, 654, 1511, 783, 913, 946,1015, 1025, 1056, 1050, 1066, 1246, 1249, 1294,1302, 1562, 1602, 1629, 1675, 1780, 1797, 1045,1046, 126, 149, 151, 170, 288, 307, 335, 334,

369, 375, 376, 377, 432, 444, 520, 525, 528,532, 561, 615, 709, 796, 811, 819, 848, 914, 916,915, 917, 954, 965, 985, 989, 1011, 1105, 1132,1143, 1184, 1197, 1221, 1240, 1254, 1256, 1257,1274, 1273, 1388, 1496, 1499, 1672, 1691, 1712,1748, 1776, 592, 1698, 1692, 1693, 1697, 1696].stability [1220]. Stabilization[21, 1188, 244, 480, 571, 726, 911, 1215, 1242,1314, 585]. stabilized[9, 101, 145, 168, 373, 656, 786, 849, 950, 961,1004, 1166, 1226, 1411, 1588, 1601, 1667].Stable [190, 191, 438, 637, 898, 1255, 26,457, 458, 526, 862, 937, 947, 1070, 1076,1126, 1185, 1211, 1275, 1310, 1314, 1366,1601, 1710, 1795, 585, 590]. stage[1327, 1581]. staggered [498, 1805].Standard [127, 93, 138, 317, 1270]. starlike[1442]. stars [1057, 1706]. starting [390].state [41, 119, 332, 466, 703, 708].state/Hopf [1764]. states [740]. static[100, 1715]. stationary[112, 633, 687, 738, 746, 792, 1093, 1195, 1366].Steady [1764, 119, 169, 708, 1085].Steady-state [1764, 119, 708].Steady-state/Hopf [1764]. steepest[552, 553, 564, 582, 908]. Stefan[314, 477, 573, 644, 700, 697, 1002, 1213,1290, 1436, 1437, 1635, 1713]. Steklov[62, 810, 1018, 1774]. stencils [577]. step[162, 202, 367, 390, 519, 598, 696, 824, 829,875, 907, 936, 1119, 1120, 1195, 1567, 1595].step-size [598]. steplength [841, 1503].stepping[93, 1130, 1247, 1381, 1382, 1502, 1611].steps [615, 1782]. stepsize [382, 945]. stiff[424, 550, 662, 979, 1005, 1033, 1410, 1700].Stochastic[294, 1253, 90, 94, 155, 249, 278, 285, 287,324, 358, 407, 449, 452, 462, 515, 708, 872,1021, 1081, 1080, 1124, 1130, 1165, 1220,1221, 1239, 1243, 1252, 1293, 1341, 1357,1368, 1392, 1394, 1473, 1493, 1670, 670].stochastically [57]. Stokes[757, 918, 1004, 1226, 7, 21, 24, 47, 95, 101,

32

102, 103, 130, 140, 139, 162, 164, 204, 213,237, 233, 236, 235, 239, 241, 249, 280, 329, 333,335, 334, 380, 384, 393, 426, 471, 507, 626, 649,656, 683, 720, 738, 746, 805, 871, 931, 961, 990,1016, 1097, 1105, 1121, 1125, 1162, 1163, 1197,1230, 1287, 1292, 1299, 1326, 1332, 1395, 1430,1494, 1514, 1535, 1564, 1612, 1709, 1805, 585].Stopping [1344, 287, 1716, 1700]. story[1375]. straightening [1474]. strain [282].strain-limiting [282]. strains [1525].Strang [442]. Strang-type [442].strategies [1011, 1130, 1149, 1450, 1746].strategy [1266, 1328]. Stream [1514, 236].stream-function [236]. streamline[926, 1639]. streamline-diffusion [1639].stress [410, 813, 871]. stresses [506].stretched [1226]. strict [208, 320]. string[1474]. strip [1346]. strip-based [1346].stroboscopic [1545]. Strong [215, 249, 324,540, 1081, 1080, 1243, 1299, 1727, 1499].strongly[522, 543, 880, 1106, 1191, 1248, 1493].structural [228, 811, 812]. structurally[1310]. Structure[1248, 534, 620, 767, 766, 813, 1013, 1286,1417, 1451, 1530, 1735, 1789].structure-preserving [1789]. structured[638, 1703]. studies [222]. Study [728, 753].Sturm[223, 262, 306, 731, 799, 842, 893, 1003, 1489].Sub [334, 1381]. sub-diffusion [1381].Sub-Grid [334]. subcycling [665].subdiffusion [1088, 1089, 1090, 1115].subdivision[609, 903, 1367, 1522, 1772, 1773]. Subgrid[911, 140]. subgrid-scale [140]. subject[581, 1802]. submatrix [1740].Subsampled [217, 279]. subsequent [863].subsonic [1640]. subspace [754, 1072].subspace-breaking [1072].substructuring [1346, 1347]. subtraction[760]. successive [692, 956, 1301].Sufficient [752]. suitable [486]. sum[216, 611]. sums [217, 315, 1132, 1741]. sup

[170, 334, 1185, 1314, 585]. super [651, 908].super-convergence [651]. super-linear[908]. Supercloseness [1242, 1261].superconducting [706, 1637].superconductivity [338, 698, 703].superconductors [193].Superconvergence[673, 924, 1173, 1228, 1338, 1506, 219, 318,350, 1262, 1559, 1620, 1645, 1761].Superconvergent[1209, 1804, 507, 506, 795, 1494].superlinear [1478]. superposition [58].supersmoothness [1617]. supported [479].Supraconvergence [165].supraconvergent [814]. surface[41, 154, 201, 345, 621, 622, 687, 704, 750,859, 1071, 1099, 1154, 1513, 1514].surface-fitting [621]. surfaces[125, 247, 392, 593, 652, 678, 679, 792, 944,943, 950, 951, 1078, 1083, 1122, 1154, 1155,1188, 1260, 1411]. surfactant [174]. survey[1452, 1575]. Sushi [726]. SVD [647].SWIFT [452]. switching [45]. Symm[710, 1207, 1781]. symmetric[210, 418, 494, 504, 508, 506, 661, 1511, 763,937, 1042, 1061, 1070, 1094, 1100, 1229, 1279,1321, 1331, 1337, 1391, 1406, 1426, 1446,1477, 1534, 1585, 1654, 1655].Symmetrization [1264, 173]. symmetry[45, 608, 1073, 1364, 1764].symmetry-breaking [1364, 1764].Symplectic[631, 141, 390, 462, 1238, 1358, 1404].symplecticity [939]. system [17, 34, 178,213, 338, 380, 409, 504, 542, 648, 757, 906,976, 1004, 1097, 1140, 1234, 1248, 1277, 1395,1502, 1533, 1630, 1640, 1739, 1788, 1789].Systems[982, 37, 39, 112, 142, 146, 210, 226, 256, 268,327, 346, 394, 403, 402, 408, 424, 441, 442,450, 454, 514, 550, 558, 583, 608, 620, 631, 638,664, 690, 691, 712, 743, 787, 789, 792, 872, 879,888, 938, 964, 983, 989, 1015, 1024, 1068, 1075,1130, 1177, 1217, 1232, 1286, 1296, 1297, 1313,

33

1333, 1337, 1391, 1408, 1427, 1450, 1473, 1530,1551, 1593, 1684, 1704, 1731, 1780, 1045].Szego [1449, 588].

T [486]. T-splines [486]. Takens[257, 1073, 1072, 1764]. taut [1474]. Taylor[170, 334, 1305, 1585]. technical [906].technique [335, 344, 1291, 1508].techniques [158, 609, 665, 845, 1264].temperature [1502].temperature-dependent [1502]. temporal[1105]. Tensor[750, 326, 459, 1083, 1515, 1639, 1653, 1796].Tensor-product [750, 1639, 1796]. term[285, 1012]. terms[438, 839, 997, 1566, 1584, 562]. test[341, 549, 1005, 1580, 1685]. Testing[1597, 496, 1703]. tetrahedral[1174, 1558, 1618]. textile [906]. texture[699]. th [1220, 1221]. their[109, 444, 550, 742, 1017, 1267, 1354, 1374,1612, 1645, 1722, 1758]. theorem[109, 1057, 1482]. theorems[812, 1434, 1723]. theoretic [1655]. Theory[320, 489, 599, 684, 823, 893, 1006, 1052,1214, 1229, 1605, 1712]. There [630].thermoelastic [1014]. thin[25, 174, 766, 869, 1573, 1616]. thin-walled[766]. third [42, 474, 1806]. third-kind [42].third-order [474, 1806]. Thomas [38, 635].three[102, 207, 720, 918, 931, 962, 1012, 1016,1076, 1292, 1347, 1504, 1581, 1580, 1677].three-body [1580]. three-dimensional[918, 962, 1504]. three-dimensions [102].three-fields [1292]. three-stage [1581].three-term [1012]. three-time-level[1076]. Tikhonov [275]. Time[21, 157, 168, 815, 873, 887, 1322, 6, 53, 63, 93,94, 104, 113, 160, 162, 237, 234, 241, 243, 249,327, 436, 502, 530, 561, 586, 589, 613, 665,670, 679, 700, 734, 737, 736, 785, 791, 813,821, 826, 830, 918, 934, 957, 961, 963, 969,976, 989, 1014, 1022, 1040, 1055, 1076, 1085,

1086, 1087, 1090, 1111, 1121, 1130, 1140, 1144,1152, 1155, 1160, 1169, 1181, 1187, 1247, 1259,1260, 1268, 1272, 1338, 1381, 1382, 1502, 1509,1510, 1525, 1529, 1543, 1583, 1608, 1611, 1629,1633, 1648, 1679, 1724, 1763, 1782, 1788, 585].time-accuracy [969]. Time-dependent[168, 6, 160, 162, 237, 241, 502, 586, 961, 1014,1121, 1144, 1152, 1268, 1338, 1633, 1724, 585].time-discrete [1679]. time-discretization[670]. Time-domain [157, 813, 1187].time-evolution [957]. time-fractional[1022, 1087]. time-harmonic [1272, 1510].time-parallel [957]. time-periodic [1633].time-space [530, 821]. time-splitting[589, 1181]. time-stepping[1130, 1381, 1382, 1502, 1611].time-subcycling [665]. time-varying [989].Timoshenko [975]. Toda [391]. Toeplitz[441, 445, 880]. Toint [1477]. tolerance[980]. tomography [1091, 1469]. tool [758].topology [1519]. torsion [232]. Total[183, 185, 940, 197, 298, 299, 1444].touching [544]. TPFA [651]. Trace[797, 1071, 1626, 1513]. Tracking[1446, 1213]. trajectory [527, 1324].transfer [560, 802, 884]. transform[516, 532, 942, 1521, 1601, 1654].transformation[262, 1323, 1389, 1488, 1583, 1591, 1808].transformations [134, 343, 1331, 1422].transforms[68, 117, 396, 1059, 1322, 1770, 1771].transient [230, 435, 1013, 1612]. transition[791]. transmission[296, 381, 966, 1104, 1768]. transport[19, 51, 308, 487, 785, 823, 1219, 1229, 1280].Transportation [1041]. trapezoidal[615, 1295, 1539]. treatment[785, 1158, 1698]. tree [1177]. tree-based[1177]. Trees [383, 1519]. Trefftz [1160].trial [8]. triangle [1036]. triangular[134, 607, 1349, 1558, 1632].triangularization [1681]. triangulation[1531]. triangulations [677]. trick [701].

34

tridiagonal [558, 1614]. Trigonometric[976, 1343, 126, 357]. trilinear [416].Trivariate [292]. Trotter [612]. Truncated[889]. Truncation[1296, 540, 860, 1220, 1221, 1694]. Trust[58, 148, 875, 890, 891, 902, 1476, 1671, 1791].Trust-region [58, 148, 891, 1671].trust-region-free [875]. tuned [790].Turan [1354]. turbulent [1504]. turning[1363, 1621]. TV [699]. TVD [1674].TVNE [1806]. Two[202, 242, 398, 1016, 1118, 1327, 1400, 1581,1659, 4, 9, 34, 102, 116, 134, 146, 162, 164,205, 249, 259, 262, 274, 296, 309, 316, 347,406, 455, 456, 469, 464, 519, 574, 689, 707,732, 736, 788, 799, 803, 904, 974, 978, 1002,1115, 1211, 1215, 1236, 1269, 1271, 1275,1277, 1281, 1290, 1317, 1346, 1379, 1430,1464, 1474, 1497, 1504, 1562, 1594, 1607, 1638,1643, 1642, 1679, 1714, 1767, 1768, 1777].two- [102]. two-by-two [146].two-dimensional [116, 205, 249, 296, 309,347, 732, 736, 978, 1115, 1211, 1269, 1275,1317, 1430, 1767, 1768]. two-factor [1271].Two-grid [398]. Two-level[1118, 1659, 469, 1327, 1777].two-parameter [262, 1464]. two-phase[34, 406, 1002, 1290, 1497]. Two-point[202, 4, 259, 274, 455, 456, 689, 904, 974,1379, 1607, 1638, 1643, 1642, 1714].Two-scale [1400, 1236]. Two-sided [242].Two-stage [1327, 1581]. two-step[162, 519]. twofold [817, 825, 828]. type[32, 96, 266, 442, 497, 596, 616, 662, 676, 703,786, 787, 807, 869, 881, 886, 941, 992, 1002,1037, 1140, 1173, 1182, 1199, 1238, 1251,1293, 1297, 1314, 1317, 1358, 1418, 1428,1540, 1597, 1618, 1626, 1635, 1653, 1677,1715, 1721, 1746, 1770, 1771, 1774, 1776,1804, 590, 109, 548, 624, 629, 878, 946, 1095,1351, 1570, 1623, 1622, 1643, 1642]. type-6[1618]. type-II [703].

ultraspherical [941]. Unbiased [1180].

unbounded [1074, 1461]. uncertain[1271, 1466]. uncertainty [40, 538, 1083].Unconditional [962]. unconditionally[156, 1126, 1271, 1275]. unconstrained[108, 568, 1476, 1668, 1793].underdetermined [523]. underflow [760].understanding [288]. unfitted[182, 184, 372, 636, 766, 1201, 1599].unfitted-mesh [766]. unidimensional[644, 1224, 1436]. Unified [992, 1055, 1787,417, 516, 629, 1153, 1673, 562]. Uniform[443, 548, 561, 1142, 1276, 1382, 1458, 1610,1724, 1776, 1794, 247, 318, 444, 719, 752,969, 1040, 1168, 1348, 1543, 1559].uniform-in-time [1040]. Uniformly[1806, 1, 26, 470, 502, 1277, 1647].unilateral [89, 212, 625, 1659]. unipolar[397]. uniqueness [1729]. unit[368, 714, 955, 1459]. unitary [1031]. unity[686]. Univariate [206, 361, 610, 611].unknown [1552]. unsteady [1484, 1641].unstructured [725]. unsymmetric [469].updates [1153, 1534, 1802, 1803].Updating [1539, 1426, 1477]. upper [1539].Upwind [1123, 19, 66, 308, 356, 427, 438,1028, 1233, 1276, 1348, 1523, 1533].upwind- [1348]. upwinding [1675]. Use[1172, 133, 160, 955, 1153, 1486, 1601]. user[1590]. user-friendly [1590]. Using[557, 1691, 168, 182, 262, 291, 325, 361, 394,395, 404, 486, 547, 558, 578, 622, 673, 708,712, 726, 870, 1011, 1019, 1086, 1114, 1198,1244, 1255, 1274, 1315, 1341, 1352, 1395,1616, 1623, 1622, 1800, 592]. Uzawa [1342].Uzawa-based [1342].

V [1036]. validity [368]. valuation[1021, 1814]. value [4, 48, 49, 66, 97, 191,259, 260, 274, 308, 455, 456, 475, 483, 522,689, 817, 848, 852, 895, 896, 904, 974, 1008,1032, 1070, 1186, 1276, 1311, 1362, 1379,1468, 1484, 1607, 1638, 1643, 1642, 1646,1647, 1710, 1714, 1753, 1700, 1694, 1695].valued [226, 892, 1141, 1208, 1773]. values

35

[1077, 1579]. Vandermonde [982, 1704].Vandermonde-like [982]. vanishing [353].variable[59, 113, 245, 327, 390, 404, 473, 483, 516, 556,913, 1103, 1102, 1247, 1425, 1540, 1781, 1792].variable-degree [473]. variable-metric[556]. variable-step [390]. variables [681].variably [310]. variance [537]. variant[718]. variants [1606]. variate [895].variation [197, 298, 299, 940]. Variational[963, 1144, 1518, 1529, 1658, 138, 168, 193,191, 294, 302, 472, 490, 559, 700, 702, 817,857, 973, 997, 999, 1127, 1205, 1204, 1215,1386, 1387, 1404, 1420, 1445, 1548, 1557,1629, 1653, 1659].variational-hemivariational [559].variational-iterative [1548].Variational-splitting [1144]. varieties[1703]. varying [426, 989]. Vector[892, 132, 751, 951, 1071, 1367, 1651, 1666].vector-Laplace [1071]. Vector-valued[892]. vectors [647, 850]. velocity[384, 1230]. Vera [863]. Verification [343].version [200, 247, 838, 837, 948, 977, 1009,1384, 1558, 1759]. versions [1627]. versus[535, 883, 895, 896, 980]. vertex[713, 814, 819]. vertex-centered [713].very [521]. via [328, 460, 517, 518, 638, 664,904, 957, 1083, 1322, 1323]. vibration[228, 975]. vibrations [198]. Vibro [1482].Vibro-impact [1482]. VIEs [42].viewpoint [768]. Virtual [399, 816, 1719,55, 384, 401, 480, 1203, 1369, 563].viscoelastic [168]. viscoelasticity[22, 1190]. viscoplastic [1194]. viscosity[918, 994]. viscosity-splitting [918].viscous [1125, 1458]. volatilities [1021].volatility [1271, 1466]. Volterra[1284, 149, 153, 218, 267, 348, 347, 351, 349,350, 561, 629, 909, 941, 1017, 1023, 1066,1107, 1256, 1257, 1258, 1270, 1283, 1317,1505, 1570, 1578, 1657, 1721, 1751, 1776,1797, 1661, 1698]. Volterra-type[629, 1570]. Volume

[71, 65, 73, 107, 253, 252, 258, 308, 312, 397,406, 417, 428, 437, 435, 434, 436, 450, 451,487, 510, 648, 651, 652, 713, 724, 725, 728,727, 814, 973, 1021, 1115, 1374, 1385, 1395,1408, 1547, 1616, 1726, 1785, 1786, 1787,1796, 1814, 75, 78, 80, 82].volume-preserving [1796]. volumes [562].volumetric [1196]. Vortex [1615, 1800].vortices [706, 1637]. vorticity[56, 236, 1269]. Vries[533, 1000, 1178, 1428, 1561].

Waals [174]. Wachspress [878].Wachspress-type [878]. WAF [1665]. walk[684, 1180]. walk-on-sphere [1180]. walled[766]. Warming [1673]. Warming-Beam[1673]. water [92, 93, 229, 300, 1484].waterbag [251]. Wave[295, 201, 224, 425, 448, 453, 515, 737, 736,735, 739, 761, 836, 873, 934, 957, 992, 993,999, 1013, 1014, 1044, 1083, 1160, 1191, 1238,1282, 1384, 1484, 1493, 1744, 1759].Wave-number [295]. wave-structure[1013]. wave-thermoelastic [1014].wave-type [992]. waveform [1538, 1763].waveguide [1196]. Wavelet[244, 452, 459, 1628]. wavelet-based [452].wavelets [1393]. Wavenumber [453, 1272].waves [719]. Weak [141, 358, 449, 471, 528,1150, 1368, 50, 140, 276, 341, 928, 1377].weakly [247, 267, 348, 445, 521, 624, 1023,1383, 1408, 1464, 1627, 1657, 1661]. Weber[846]. wedge [120]. Weierstrass [531].weight [448, 1309, 1449]. Weighted[371, 1447, 87, 171, 717, 861, 981, 1074, 1401,1492, 1655, 1656]. weights[1129, 1449, 1680]. Weiner [1307].Weiner-Hopf [1307]. Well[1384, 429, 521, 850, 1402, 1535].well-conditioned [850]. well-posed[521, 1535]. Well-posedness [1384].well-reservoir [429]. Wendroff[1251, 1673]. Wendroff-type [1251].Wentzell [163]. were [929]. Westervelt

REFERENCES 36

[1111]. which [880, 1812]. white [278, 1243].whole [1680]. Wick [1293]. wide [1476].wider [879]. widths [513]. Wiener[666, 884]. Willmore [191]. Wilson [467].Winther [410]. withdrawal [1029].without [1182, 1413, 1475, 1592]. work[658, 663]. worst [555, 1448]. worst-case[555]. Wrap [964]. Wrap-around [964].

Xin [1571].

years [863].

Zakharov [976, 1640]. zeros [54, 609, 885,1054, 1306, 1307, 1553].

ReferencesAbbasi:2019:PDE

[1] Bilal Abbasi and Adam M. Ober-man. A partial differential equationfor the |ε|-uniformly quasiconvex enve-lope. IMA Journal of Numerical Anal-ysis, 39(1):141–166, January 25, 2019.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic). URLhttp://academic.oup.com/imajna/article/39/1/141/4641667.

Abdulle:2015:FDA

[2] Assyr Abdulle and Yun Bai. Fullydiscrete analysis of the heterogeneousmultiscale method for elliptic prob-lems with multiple scales. IMA Jour-nal of Numerical Analysis, 35(1):133–160, January 2015. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/35/1/133.

Ablowitz:1991:DSD

[3] M. J. Ablowitz, B. M. Herbst, andJ. A. C. Weideman. Dynamics of semi-discretizations of the defocusing nonlin-ear Schrodinger equation. IMA Journalof Numerical Analysis, 11(4):539–552,1991. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Abu-Zaid:1994:FDM

[4] I. T. Abu-Zaid and M. A. El-Gebeily.A finite-difference method for the spec-tral approximation of a class of sin-gular two-point boundary value prob-lems. IMA Journal of Numerical Anal-ysis, 14(4):545–562, 1994. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Acebron:2001:SAC

[5] Juan A. Acebron, Mikhail M. Lavren-tiev, Jr., and Renato Spigler. Spec-tral analysis and computation for theKuramoto-Sakaguchi integroparabolicequation. IMA Journal of Numer-ical Analysis, 21(1):239–263, Jan-uary 2001. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_01/210239.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_01/pdf/210239.pdf.

Acevedo:2011:BMF

[6] Ramiro Acevedo and Salim Med-dahi. An E-based mixed FEM andBEM coupling for a time-dependenteddy current problem. IMA Jour-nal of Numerical Analysis, 31(2):667–697, April 2011. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642

REFERENCES 37

(electronic). URL http://imajna.oxfordjournals.org/content/31/2/667.full.pdf+html.

Achdou:1993:MNS

[7] Yves Achdou and Olivier Pironneau.The χ-method for the Navier–Stokesequations. IMA Journal of Numer-ical Analysis, 13(4):537–558, 1993.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Acker:1988:CRA

[8] Andrew Acker. Convergence resultsfor an analytical trial free-boundarymethod. IMA Journal of NumericalAnalysis, 8(3):357–364, 1988. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic).

Acosta:2012:DSS

[9] Carlos D. Acosta and RaimundBurger. Difference schemes stabi-lized by discrete mollification for de-generate parabolic equations in twospace dimensions. IMA Journal ofNumerical Analysis, 32(4):1509–1540,October 2012. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/32/4/1509.full.pdf+html.

Acosta:2014:EPN

[10] Gabriel Acosta and Marıa G. Ar-mentano. Eigenvalue problems in anon-Lipschitz domain. IMA Jour-nal of Numerical Analysis, 34(1):83–95, January 2014. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/34/1/83.full.pdf+html.

Acosta:2019:FEA

[11] Gabriel Acosta, Juan Pablo Bortha-garay, and Norbert Heuer. Finite ele-ment approximations of the nonhomo-geneous fractional Dirichlet problem.IMA Journal of Numerical Analysis,39(3):1471–1501, July 2019. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/39/3/1471/4990927.

Actis:2016:NDF

[12] Marcelo Actis, Pedro Morin, and Mar-ilina Carena. Nonlocal diffusions onfractals: qualitative properties and nu-merical approximations. IMA Jour-nal of Numerical Analysis, 36(3):1143–1166, July 2016. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/36/3/1143.

Adam:1991:PIR

[13] Gh. Adam and A. Nobile. Product in-tegration rules at Clenshaw–Curtis andrelated points: a robust implementa-tion. IMA Journal of Numerical Anal-ysis, 11(2):271–296, 1991. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Adam:2019:SNM

[14] L. Adam, M. Hintermuller, and T. M.Surowiec. A semismooth Newtonmethod with analytical path-followingfor the H1-projection onto the Gibbssimplex. IMA Journal of NumericalAnalysis, 39(3):1276–1295, July 2019.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic). URL

REFERENCES 38

http://academic.oup.com/imajna/article/39/3/1276/5032993.

Adcock:2012:HOR

[15] Ben Adcock, Arieh Iserles, andSyvert P. Nørsett. From high oscil-lation to rapid approximation II: ex-pansions in Birkhoff series. IMA Jour-nal of Numerical Analysis, 32(1):105–140, January 2012. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/32/1/105.full.pdf+html.

Adcock:2019:OSR

[16] Ben Adcock, Rodrigo B. Platte, andAlexei Shadrin. Optimal samplingrates for approximating analytic func-tions from pointwise samples. IMAJournal of Numerical Analysis, 39(3):1360–1390, July 2019. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/39/3/1360/5001154.

Adler:2016:FOS

[17] James Adler, Scott MacLachlan,and Niall Madden. A first-ordersystem Petrov–Galerkin discretiza-tion for a reaction-diffusion prob-lem on a fitted mesh. IMA Jour-nal of Numerical Analysis, 36(3):1281–1309, July 2016. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/36/3/1281.

Adler:2002:NMR

[18] Roy L. Adler, Jean-Pierre Dedieu,Joseph Y. Margulies, Marco Martens,

and Mike Shub. Newton’s methodon Riemannian manifolds and a ge-ometric model for the human spine.IMA Journal of Numerical Analysis,22(3):359–390, July 2002. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_22/Issue_03/220359.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_22/Issue_03/pdf/220359.pdf.

Aguillon:2018:EEU

[19] Nina Aguillon and Franck Boyer. Er-ror estimate for the upwind schemefor the linear transport equation withboundary data. IMA Journal of Nu-merical Analysis, 38(2):669–719, April18, 2018. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://academic.oup.com/imajna/article/38/2/669/3767777.

Ahmed:1985:FAP

[20] A. H. Ahmed and K. Wright. Fur-ther asymptotic properties of colloca-tion matrix norms. IMA Journal of Nu-merical Analysis, 5(2):235–246, 1985.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Ahmed:2017:AFS

[21] Naveed Ahmed, Tomas Chacon Re-bollo, Volker John, and Samuele Ru-bino. Analysis of a full space-timediscretization of the Navier–Stokesequations by a local projection sta-bilization method. IMA Journalof Numerical Analysis, 37(3):1437–1467, July 1, 2017. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL https://

REFERENCES 39

academic.oup.com/imajna/article/37/3/1437/2670061/Analysis-of-a-Full-Space-Time-Discretization-of.

Ahn:2009:DFC

[22] Jeongho Ahn and David E. Stewart.Dynamic frictionless contact in linearviscoelasticity. IMA Journal of Nu-merical Analysis, 29(1):43–71, January2009. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Ainsworth:1997:PPC

[23] M. Ainsworth, D. W. Kelly, I. H. Sloan,and S. L. Wang. Post-processing withcomputable error bounds for the fi-nite element approximation of a non-linear heat conduction problem. IMAJournal of Numerical Analysis, 17(4):547–561, October 1997. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_17/Issue_04/170547.sgm.abs.html.

Ainsworth:2012:CEB

[24] Mark Ainsworth, Alejandro Allen-des, Gabriel R. Barrenechea, andRichard Rankin. Computable er-ror bounds for nonconforming Fortin–Soulie finite element approximationof the Stokes problem. IMA Jour-nal of Numerical Analysis, 32(2):417–447, April 2012. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/32/2/417.full.pdf+html.

Ainsworth:2001:CEB

[25] Mark Ainsworth and Mark Arnold.Computable error bounds for some

simple dimensionally reduced mod-els on thin domains. IMA Jour-nal of Numerical Analysis, 21(1):81–105, January 2001. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_01/210081.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_01/pdf/210081.pdf.

Ainsworth:2002:USF

[26] Mark Ainsworth and Patrick Coggins.A uniformly stable family of mixed hpfinite elements with continuous pres-sures for incompressible flow. IMAJournal of Numerical Analysis, 22(2):307–327, April 2002. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_22/Issue_02/220307.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_22/Issue_02/pdf/220307.pdf.

Ainsworth:2011:CFE

[27] Mark Ainsworth and Richard Rankin.Constant free error bounds for nonuni-form order discontinuous Galerkinfinite-element approximation on lo-cally refined meshes with hangingnodes. IMA Journal of Numer-ical Analysis, 31(1):254–280, Jan-uary 2011. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/31/1/254.full.pdf+html.

Ainsworth:2017:CEB

[28] Mark Ainsworth and Richard Rankin.Computable error bounds for finite el-ement approximation on nonpolygo-

REFERENCES 40

nal domains. IMA Journal of Nu-merical Analysis, 37(2):604–645, April2017. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL https://academic.oup.com/imajna/article/37/2/604/2670033/Computable-error-bounds-for-finite-element.

Aitchison:1984:NMP

[29] J. M. Aitchison. Numerical modellingof PIN diodes. IMA Journal of Nu-merical Analysis, 4(1):43–53, January1984. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Akinola:2014:CJB

[30] Richard O. Akinola, Melina A. Freitag,and Alastair Spence. The computa-tion of Jordan blocks in parameter-dependent matrices. IMA Journalof Numerical Analysis, 34(3):955–976, July 2014. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/34/3/955.

Akrivis:2018:SII

[31] Georgios Akrivis. Stability of implicitand implicit-explicit multistep methodsfor nonlinear parabolic equations. IMAJournal of Numerical Analysis, 38(4):1768–1796, October 16, 2018. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/38/4/1768/4321720.

Akrivis:2016:LIS

[32] Georgios Akrivis, Anna Kalogirou,Demetrios T. Papageorgiou, andYiorgos-Sokratis Smyrlis. Linearly im-plicit schemes for multi-dimensional

Kuramoto–Sivashinsky type equationsarising in falling film flows. IMA Jour-nal of Numerical Analysis, 36(1):317–336, January 2016. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/36/1/317.

Akrivis:2018:MNA

[33] Georgios Akrivis and Buyang Li. Maxi-mum norm analysis of implicit–explicitbackward difference formulae for non-linear parabolic equations. IMA Jour-nal of Numerical Analysis, 38(1):75–101, January 25, 2018. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/38/1/75/3077045.

Akrivis:2011:LIM

[34] Georgios Akrivis, Demetrios T. Papa-georgiou, and Yiorgos-Sokratis Smyrlis.Linearly implicit methods for a semi-linear parabolic system arising intwo-phase flows. IMA Journal ofNumerical Analysis, 31(1):299–321,January 2011. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/31/1/299.full.pdf+html.

Akrivis:1993:FDD

[35] Georgios D. Akrivis. Finite differencediscretization of the cubic Schrodingerequation. IMA Journal of Numer-ical Analysis, 13(1):115–124, 1993.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

REFERENCES 41

Al-Baali:1985:DPG

[36] M. Al-Baali. Descent property andglobal convergence of the Fletcher–Reeves method with inexact linesearch. IMA Journal of NumericalAnalysis, 5(1):121–124, 1985. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic).

AlDaas:2019:EGS

[37] Hussam Al Daas, Laura Grigori, PascalHenon, and Philippe Ricoux. EnlargedGMRES for solving linear systems withone or multiple right-hand sides. IMAJournal of Numerical Analysis, 39(4):1924–1956, October 2019. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/39/4/1924/5078636.

Al-Zanaidi:1996:MET

[38] M. Al-Zanaidi, C. Grossmann, andR. L. Voller. Monotonous enclosuresfor the Thomas–Fermi equation inthe isolated neutral atom case. IMAJournal of Numerical Analysis, 16(3):413–434, July 1996. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_16/Issue_03/160413.sgm.abs.html.

Alaa:2013:CED

[39] Nour Eddine Alaa and Morgan Pierre.Convergence to equilibrium for dis-cretized gradient-like systems withanalytic features. IMA Journal ofNumerical Analysis, 33(4):1291–1321,October 2013. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.

oxfordjournals.org/content/33/4/1291.full.pdf+html.

Alaiz:2015:CMN

[40] Carlos M. Alaız, Francesco Dinuzzo,and Suvrit Sra. Correlation matrixnearness and completion under ob-servation uncertainty. IMA Journalof Numerical Analysis, 35(1):325–340,January 2015. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/35/1/325.

Ali:2020:OCE

[41] Ahmad Ahmad Ali, Michael Hinze,and Heiko Kroner. Optimal controlof elliptic surface PDEs with point-wise bounds on the state. IMA Jour-nal of Numerical Analysis, 40(1):226–246, January 2020. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://academic.oup.com/imajna/article/40/1/226/5301318.

Allaei:2017:CMT

[42] Sonia Seyed Allaei, Zhan-Wen Yang,and Hermann Brunner. Collocationmethods for third-kind VIEs. IMAJournal of Numerical Analysis, 37(3):1104–1124, July 1, 2017. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL https://academic.oup.com/imajna/article/37/3/1104/2670013/Collocation-methods-for-third-kind-VIEs.

Allendes:2020:AFE

[43] A. Allendes, F. Fuica, and E. Otarola.Adaptive finite element methods forsparse PDE-constrained optimization.IMA Journal of Numerical Analysis,

REFERENCES 42

40(3):2106–2142, July 2020. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/40/3/2106/5506756.

Allendes:2016:EEL

[44] Alejandro Allendes, Francisco Duran,and Richard Rankin. Error estima-tion for low-order adaptive finite el-ement approximations for fluid flowproblems. IMA Journal of Numer-ical Analysis, 36(4):1715–1747, Oc-tober 2016. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/36/4/1715.

Allgower:1994:BSC

[45] Eugene Allgower, Klaus Bohmer, andMei Zhen. Branch switching at acorank-4 bifurcation point of semi-linear elliptic problems with symme-try. IMA Journal of Numerical Anal-ysis, 14(2):161–182, 1994. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Almacany:1984:DCA

[46] M. Almacany, C. B. Dunham, andJ. Williams. Discrete Chebyshev ap-proximation by interpolating rationals.IMA Journal of Numerical Analysis, 4(4):467–477, October 1984. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic).

Almonacid:2020:FMF

[47] Javier A. Almonacid, Hugo S. Dıaz,Gabriel N. Gatica, and AntonioMarquez. A fully mixed finite ele-ment method for the coupling of the

Stokes and Darcy–Forchheimer prob-lems. IMA Journal of NumericalAnalysis, 40(2):1454–1502, April 2020.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic). URLhttp://academic.oup.com/imajna/article/40/2/1454/5304850.

Alonso-Mallo:2017:AOR

[48] I. Alonso-Mallo, B. Cano, andN. Reguera. Avoiding order reductionwhen integrating linear initial bound-ary value problems with Lawson meth-ods. IMA Journal of Numerical Analy-sis, 37(4):2091–2119, October 1, 2017.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic). URLhttps://academic.oup.com/imajna/article/37/4/2091/2422321.

Alonso-Mallo:2018:AOR

[49] I. Alonso-Mallo, B. Cano, andN. Reguera. Avoiding order reduc-tion when integrating linear initialboundary value problems with ex-ponential splitting methods. IMAJournal of Numerical Analysis, 38(3):1294–1323, July 17, 2018. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/38/3/1294/4085564.

Altmayer:2017:DHM

[50] Martin Altmayer and Andreas Neuenkirch.Discretising the Heston model: ananalysis of the weak convergence rate.IMA Journal of Numerical Analy-sis, 37(4):1930–1960, October 1, 2017.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic). URLhttps://academic.oup.com/imajna/article/37/4/1930/2894466.

REFERENCES 43

Alvarez:2021:MPF

[51] Mario Alvarez, Gabriel N. Gatica, andRicardo Ruiz-Baier. A mixed-primalfinite element method for the couplingof Brinkman–Darcy flow and nonlineartransport. IMA Journal of NumericalAnalysis, 41(1):381–411, January 2021.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic). URLhttp://academic.oup.com/imajna/article/41/1/381/5771306.

Amiraslani:2009:LMP

[52] A. Amiraslani, R. M. Corless, andP. Lancaster. Linearization of ma-trix polynomials expressed in polyno-mial bases. IMA Journal of Numer-ical Analysis, 29(1):141–157, January2009. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Amrein:2017:AST

[53] Mario Amrein and Thomas P. Wih-ler. An adaptive space-time Newton–Galerkin approach for semilinear sin-gularly perturbed parabolic evolu-tion equations. IMA Journal ofNumerical Analysis, 37(4):2004–2019,October 1, 2017. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL https://academic.oup.com/imajna/article/37/4/2004/2670067.

Anastasselou:1986:FCD

[54] Eleni G. Anastasselou. A formalcomparison of the Delves-Lyness andBurniston-Siewert methods for locat-ing the zeros of analytic functions.IMA Journal of Numerical Analysis,6(3):337–341, 1986. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Anaya:2020:VEM

[55] Veronica Anaya, Mostafa Bendah-mane, David Mora, and MauricioSepulveda. A virtual element methodfor a nonlocal FitzHugh–Nagumomodel of cardiac electrophysiology.IMA Journal of Numerical Analysis,40(2):1544–1576, April 2020. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/40/2/1544/5309005.

Anaya:2017:PVF

[56] Veronica Anaya, David Mora, and Ri-cardo Ruiz-Baier. Pure vorticity for-mulation and Galerkin discretizationfor the Brinkman equations. IMAJournal of Numerical Analysis, 37(4):2020–2041, October 1, 2017. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL https://academic.oup.com/imajna/article/37/4/2020/2670308.

Anderson:2015:ARB

[57] David F. Anderson and MasanoriKoyama. An asymptotic relation-ship between coupling methods forstochastically modeled population pro-cesses. IMA Journal of Numeri-cal Analysis, 35(4):1757–1778, Oc-tober 2015. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/35/4/1757.

Andreani:2008:TRS

[58] R. Andreani, J. M. Martınez, andL. Martınez. Trust-region superposi-tion methods for protein alignment.IMA Journal of Numerical Analysis, 28

REFERENCES 44

(4):690–710, October 2008. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/28/4/690.

Andreani:2005:SPG

[59] Roberto Andreani, Ernesto G. Bir-gin, Jose Mario Martınez, and JinyunYuan. Spectral projected gradi-ent and variable metric methodsfor optimization with linear inequal-ities. IMA Journal of Numeri-cal Analysis, 25(2):221–252, April2005. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).URL http://imanum.oupjournals.org/cgi/content/abstract/25/2/221;http://imanum.oupjournals.org/cgi/reprint/25/2/221.

Andreani:2017:ESO

[60] Roberto Andreani, Gabriel Haeser, Al-berto Ramos, and Paulo J. S. Silva.Erratum: “A second-order sequen-tial optimality condition associated tothe convergence of optimization algo-rithms”. IMA Journal of NumericalAnalysis, 37(4):e1–??, October 1, 2017.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic). URLhttps://academic.oup.com/imajna/article/37/4/e1/3859208. See [61].

Andreani:2017:SOS

[61] Roberto Andreani, Gabriel Haeser, Al-berto Ramos, and Paulo J. S. Silva.A second-order sequential optimalitycondition associated to the conver-gence of optimization algorithms. IMAJournal of Numerical Analysis, 37(4):1902–1929, October 1, 2017. CODENIJNADH. ISSN 0272-4979 (print),

1464-3642 (electronic). URL https://academic.oup.com/imajna/article/37/4/1902/2929533. See erratum [60].

Andreev:2004:IFE

[62] Andrey B. Andreev and Todor D.Todorov. Isoparametric finite-elementapproximation of a Steklov eigen-value problem. IMA Journal ofNumerical Analysis, 24(2):309–322,April 2004. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_24/Issue_02/240309.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_24/Issue_02/pdf/240309.pdf.

Andreev:2013:SSS

[63] Roman Andreev. Stability of sparsespace–time finite element discretiza-tions of linear parabolic evolutionequations. IMA Journal of Nu-merical Analysis, 33(1):242–260, Jan-uary 2013. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/33/1/242.full.pdf+html.

Andreianov:2012:DDG

[64] Boris Andreianov, Mostafa Bendah-mane, Florence Hubert, and StellaKrell. On 3D DDFV discretiza-tion of gradient and divergence op-erators. I. Meshing, operators anddiscrete duality. IMA Journal ofNumerical Analysis, 32(4):1574–1603,October 2012. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/32/4/1574.full.pdf+html.

REFERENCES 45

Andreianov:2006:FVA

[65] Boris Andreianov, Franck Boyer, andFlorence Hubert. On the finite-volume approximation of regular solu-tions of the p-Laplacian. IMA Jour-nal of Numerical Analysis, 26(3):472–502, July 2006. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://comjnl.oxfordjournals.org/cgi/content/abstract/26/3/472; http://comjnl.oxfordjournals.org/cgi/reprint/26/3/472.

Angermann:1992:PES

[66] Lutz Angermann. An a posteriori es-timation for the solution of ellipticboundary value problems by means ofupwind FEM. IMA Journal of Nu-merical Analysis, 12(2):201–215, 1992.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Angermann:1995:EEF

[67] Lutz Angermann. Error estimatesfor the finite-element solution of anelliptic singularly perturbed problem.IMA Journal of Numerical Analysis,15(2):161–196, 1995. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Annaby:2015:EEA

[68] M. H. Annaby and R. M. Asharabi.Error estimates associated with sam-pling series of the linear canoni-cal transforms. IMA Journal ofNumerical Analysis, 35(2):931–946,April 2015. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/35/2/931.

Annaby:2007:CES

[69] M. H. Annaby and M. M. Thar-wat. On computing eigenvalues ofsecond-order linear pencils. IMA Jour-nal of Numerical Analysis, 27(2):366–380, April 2007. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/27/2/366; http://imajna.oxfordjournals.org/cgi/reprint/27/2/366.

Anonymous:1985:FPC

[70] Anonymous. 1985 L. Fox prize: Callfor entries. IMA Journal of Numeri-cal Analysis, 5(1):1, 1985. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Anonymous:1985:IV

[71] Anonymous. Index to volume 5.IMA Journal of Numerical Analysis,5(4):501–502, 1985. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Anonymous:1985:R

[72] Anonymous. Referees 1984–85. IMAJournal of Numerical Analysis, 5(4):499–500, 1985. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic).

Anonymous:1999:IV

[73] Anonymous. Index to volume 19. IMAJournal of Numerical Analysis, 19(4):669–670, October 1999. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_19/Issue_04/pdf/190665.pdf.

REFERENCES 46

Anonymous:1999:R

[74] Anonymous. Referees 1998–99. IMAJournal of Numerical Analysis, 19(4):665–667, October 1999. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_19/Issue_04/pdf/190665.pdf.

Anonymous:2002:IV

[75] Anonymous. Index to Volume 22. IMAJournal of Numerical Analysis, 22(4):669–670, October 2002. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_22/Issue_04/pdf/220669.pdf.

Anonymous:2002:R

[76] Anonymous. Referees 2001–2002. IMAJournal of Numerical Analysis, 22(4):665–667, October 2002. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_22/Issue_04/pdf/220665.pdf.

Anonymous:2004:E

[77] Anonymous. Editorial. IMA Jour-nal of Numerical Analysis, 24(1):i–??, January 2004. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_24/Issue_01/pdf/24000i.pdf.

Anonymous:2004:IV

[78] Anonymous. Index to Volume 24.IMA Journal of Numerical Anal-ysis, 24(4):725–726, October 2004.CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

URL http://imanum.oupjournals.org/cgi/reprint/24/4/725.

Anonymous:2004:R

[79] Anonymous. Referees 2003–2004.IMA Journal of Numerical Anal-ysis, 24(4):721–724, October 2004.CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).URL http://imanum.oupjournals.org/cgi/reprint/24/4/721.

Anonymous:2005:IV

[80] Anonymous. Index to Volume 25.IMA Journal of Numerical Analysis, 25(4):847–849, October 2005. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://imanum.oxfordjournals.org/cgi/reprint/25/4/847.

Anonymous:2005:R

[81] Anonymous. Referees 2004–2005. IMAJournal of Numerical Analysis, 25(4):843–845, October 2005. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://imanum.oxfordjournals.org/cgi/reprint/25/4/843.

Anonymous:2006:IV

[82] Anonymous. Index to Volume26. IMA Journal of Numeri-cal Analysis, 26(4):851–853, Oc-tober 2006. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/reprint/26/4/851; http://imanum.oxfordjournals.org/cgi/reprint/26/4/851.

REFERENCES 47

Anonymous:2006:R

[83] Anonymous. Referees 2005–2006. IMAJournal of Numerical Analysis, 26(4):847–850, October 2006. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://imajna.oxfordjournals.org/cgi/reprint/26/4/847.

Anselone:1987:DCA

[84] P. M. Anselone and R. Ansorge. Dis-crete closure and asymptotic (quasi-)regularity in discretization algorithms.IMA Journal of Numerical Analysis,7(4):431–448, 1987. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Antil:2020:PCE

[85] Harbir Antil, Thomas S. Brown, andFrancisco-Javier Sayas. A problemin control of elastodynamics withpiezoelectric effects. IMA Journalof Numerical Analysis, 40(4):2839–2870, October 2020. CODEN IJ-NADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/40/4/2839/5680742.

Antil:2018:PEA

[86] Harbir Antil and Enrique Otarola. Ana posteriori error analysis for an opti-mal control problem involving the frac-tional Laplacian. IMA Journal of Nu-merical Analysis, 38(1):198–226, Jan-uary 25, 2018. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://academic.oup.com/imajna/article/38/1/198/3062292.

Antil:2018:SAW

[87] Harbir Antil, Enrique Otarola, and Ab-ner J. Salgado. Some applications ofweighted norm inequalities to the er-ror analysis of PDE-constrained op-timization problems. IMA Journalof Numerical Analysis, 38(2):852–883,April 18, 2018. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://academic.oup.com/imajna/article/38/2/852/3858067.

Antil:2016:AEE

[88] Harbir Antil and Abner J. Salgado.Approximation of elliptic equationswith bmo coefficients. IMA Jour-nal of Numerical Analysis, 36(1):222–237, January 2016. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/36/1/222.

Antolin:2019:PEU

[89] Pablo Antolin, Annalisa Buffa, andMathieu Fabre. A priori error for uni-lateral contact problems with Lagrangemultipliers and isogeometric analysis.IMA Journal of Numerical Analysis, 39(4):1627–1651, October 2019. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/39/4/1627/5058940.

Anton:2020:FDA

[90] Rikard Anton, David Cohen, and LluisQuer-Sardanyons. A fully discreteapproximation of the one-dimensionalstochastic heat equation. IMA Jour-nal of Numerical Analysis, 40(1):247–284, January 2020. CODEN IJNADH.

REFERENCES 48

ISSN 0272-4979 (print), 1464-3642(electronic). URL http://academic.oup.com/imajna/article/40/1/247/5133711.

Antonietti:2018:HOD

[91] Paola F. Antonietti, Ilario Mazzieri,Niccolo Dal Santo, and Alfio Quar-teroni. A high-order discontinuousGalerkin approximation to ordinarydifferential equations with applica-tions to elastodynamics. IMA Jour-nal of Numerical Analysis, 38(4):1709–1734, October 16, 2018. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/38/4/1709/4581911.

Antonopoulos:2017:GFE

[92] D. C. Antonopoulos and V. A. Dou-galis. Galerkin-finite element meth-ods for the shallow water equationswith characteristic boundary condi-tions. IMA Journal of NumericalAnalysis, 37(1):266–295, January 1,2017. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL https://academic.oup.com/imajna/article/37/1/266/2669960/Galerkin-finite-element-methods-for-the-shallow.

Antonopoulos:2020:SGM

[93] D. C. Antonopoulos, V. A. Dou-galis, and G. Kounadis. On thestandard Galerkin method with ex-plicit RK4 time stepping for the shal-low water equations. IMA Journalof Numerical Analysis, 40(4):2415–2449, October 2020. CODEN IJ-NADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://

academic.oup.com/imajna/article/40/4/2415/5549725.

Antonopoulou:2020:STD

[94] Dimitra C. Antonopoulou. Space–time discontinuous Galerkin methodsfor the ε-dependent stochastic Allen–Cahn equation with mild noise. IMAJournal of Numerical Analysis, 40(3):2076–2105, July 2020. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/40/3/2076/5429543.

Apel:2001:NCF

[95] Thomas Apel, Serge Nicaise, andJoachim Schoberl. A non-conformingfinite element method with anisotropicmesh grading for the Stokes prob-lem in domains with edges. IMAJournal of Numerical Analysis, 21(4):843–856, October 2001. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_04/210843.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_04/pdf/210843.pdf.

Apel:2005:CTI

[96] Thomas Apel and Cornelia Pester.Clement-type interpolation on spheri-cal domains—interpolation error esti-mates and application to a posteriorierror estimation. IMA Journal of Nu-merical Analysis, 25(2):310–336, April2005. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).URL http://imanum.oupjournals.org/cgi/content/abstract/25/2/310;http://imanum.oupjournals.org/

cgi/reprint/25/2/310.

REFERENCES 49

Apel:2020:MNE

[97] Thomas Apel, Sergejs Rogovs, Jo-hannes Pfefferer, and Max Winkler.Maximum norm error estimates forNeumann boundary value problemson graded meshes. IMA Journalof Numerical Analysis, 40(1):474–497,January 2020. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://academic.oup.com/imajna/article/40/1/474/5239883.

Apel:2018:EEP

[98] Thomas Apel, Max Winkler, and Jo-hannes Pfefferer. Error estimates forthe postprocessing approach appliedto Neumann boundary control prob-lems in polyhedral domains. IMAJournal of Numerical Analysis, 38(4):1984–2025, October 16, 2018. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/38/4/1984/4389275.

Araujo:2015:SFD

[99] Aderito Araujo, Sılvia Barbeiro, andPedro Serranho. Stability of finite dif-ference schemes for nonlinear complexreaction-diffusion processes. IMA Jour-nal of Numerical Analysis, 35(3):1381–1401, July 2015. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/35/3/1381.

Araya:2011:FEA

[100] Rodolfo Araya, Gabriel R. Bar-renechea, Fabrice Jaillet, and RodolfoRodrıguez. Finite-element analy-sis of a static fluid–solid interac-

tion problem. IMA Journal ofNumerical Analysis, 31(3):886–913,July 2011. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/31/3/886.full.pdf+html.

Araya:2007:SFE

[101] Rodolfo Araya, Gabriel R. Bar-renechea, and Frederic Valentin. Astabilized finite-element method forthe Stokes problem including elementand edge residuals. IMA Journalof Numerical Analysis, 27(1):172–197,January 2007. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/27/1/172; http://imajna.oxfordjournals.org/cgi/reprint/27/1/172.

Araya:2016:LOL

[102] Rodolfo Araya, Abner H. Poza, andFrederic Valentin. A low-order lo-cal projection method for the incom-pressible Navier–Stokes equations intwo- and three-dimensions. IMA Jour-nal of Numerical Analysis, 36(1):267–295, January 2016. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/36/1/267.

Araya:2021:MPE

[103] Rodolfo Araya, Ramiro Rebolledo, andFrederic Valentin. On a multiscale aposteriori error estimator for the Stokesand Brinkman equations. IMA Jour-nal of Numerical Analysis, 41(1):344–380, January 2021. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642

REFERENCES 50

(electronic). URL http://academic.oup.com/imajna/article/41/1/344/5661655.

Araya:2020:NAT

[104] Rodolfo Araya, Rodolfo Rodrıguez,and Pablo Venegas. Numerical anal-ysis of a time domain elastoacousticproblem. IMA Journal of NumericalAnalysis, 40(2):1122–1153, April 2020.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic). URLhttp://academic.oup.com/imajna/article/40/2/1122/5289476.

Araya:2019:AAH

[105] Rodolfo Araya, Manuel Solano, andPatrick Vega. Analysis of an adap-tive HDG method for the Brinkmanproblem. IMA Journal of NumericalAnalysis, 39(3):1502–1528, July 2019.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic). URLhttp://academic.oup.com/imajna/article/39/3/1502/5032331.

Arbenz:1982:CFE

[106] P. Arbenz. Computable finite elementerror bounds for Poisson’s equation.IMA Journal of Numerical Analysis, 2(4):475–479, October 1982. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic).

Arbogast:2014:PEE

[107] T. Arbogast, D. Estep, B. Sheehan,and S. Tavener. A posteriori er-ror estimates for mixed finite elementand finite volume methods for prob-lems coupled through a boundary withnonmatching grids. IMA Journal ofNumerical Analysis, 34(4):1625–1653,October 2014. CODEN IJNADH.

ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/34/4/1625.

Ardenghi:2009:SGM

[108] J. I. Ardenghi, T. I. Gibelli, andM. C. Maciel. The spectral gradi-ent method for unconstrained opti-mal control problems. IMA Jour-nal of Numerical Analysis, 29(2):315–331, April 2009. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/29/2/315; http://imajna.oxfordjournals.org/cgi/reprint/29/2/315.

Argyros:1998:NNM

[109] Ioannis K. Argyros. On a new Newton-Mysovskii-type theorem with appli-cations to inexact Newton-like meth-ods and their discretizations. IMAJournal of Numerical Analysis, 18(1):37–56, January 1998. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_18/Issue_01/180037.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_18/Issue_01/pdf/180037.pdf.

Arioli:2018:FEM

[110] Mario Arioli and Michele Benzi.A finite element method for quan-tum graphs. IMA Journal of Nu-merical Analysis, 38(3):1119–1163,July 17, 2018. CODEN IJ-NADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/38/3/1119/3883929.

REFERENCES 51

Arioli:2013:DFS

[111] Mario Arioli, Drosos Kourounis, andDaniel Loghin. Discrete fractionalSobolev norms for domain decompo-sition preconditioning. IMA Jour-nal of Numerical Analysis, 33(1):318–342, January 2013. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/33/1/318.full.pdf+html.

Arioli:1992:SCC

[112] Mario Arioli and Francesco Romani.Stability, convergence, and condition-ing of stationary iterative methods ofthe form x(i+1) = Px(i) + q for thesolution of linear systems. IMA Jour-nal of Numerical Analysis, 12(1):21–30,1992. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Aristotelous:2015:ASO

[113] Andreas C. Aristotelous, Ohannes A.Karakashian, and Steven M. Wise.Adaptive, second-order in time,primitive-variable discontinuous Galerkinschemes for a Cahn–Hilliard equa-tion with a mass source. IMA Jour-nal of Numerical Analysis, 35(3):1167–1198, July 2015. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/35/3/1167.

Arnal:2008:NAM

[114] Josep Arnal, Violeta Migallon, Jose Pe-nades, and Daniel B. Szyld. Newtonadditive and multiplicative Schwarziterative methods. IMA Journal ofNumerical Analysis, 28(1):143–161,January 2008. CODEN IJNADH.

ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/28/1/143; http://imajna.oxfordjournals.org/cgi/reprint/28/1/143.

Asaturyan:2001:LSP

[115] Souren Asaturyan, Paolo Costantini,and Carla Manni. Local shape-preserving interpolation by spacecurves. IMA Journal of Numer-ical Analysis, 21(1):301–325, Jan-uary 2001. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_01/210301.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_01/pdf/210301.pdf.

Asharabi:2016:TDC

[116] R. M. Asharabi and J. Prestin. Ontwo-dimensional classical and Her-mite sampling. IMA Journal ofNumerical Analysis, 36(2):851–871,April 2016. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/36/2/851.

Asheim:2013:CGQ

[117] Andreas Asheim and Daan Huy-brechs. Complex Gaussian quadra-ture for oscillatory integral trans-forms. IMA Journal of Numeri-cal Analysis, 33(4):1322–1341, Oc-tober 2013. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/33/4/1322.full.pdf+html.

REFERENCES 52

Asl:2021:ALM

[118] Azam Asl and Michael L. Overton.Analysis of limited-memory BFGS ona class of nonsmooth convex functions.IMA Journal of Numerical Analysis,41(1):1–27, January 2021. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/41/1/1/5706038.

Aston:1996:NMS

[119] Philip J. Aston and A. Ganesh Sit-tampalam. Numerical methods forsteady-state mode interactions. IMAJournal of Numerical Analysis, 16(3):435–456, July 1996. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_16/Issue_03/160435.sgm.abs.html.

Atkinson:1984:NSL

[120] K. Atkinson and F. de Hoog. Thenumerical solution of Laplace’s equa-tion on a wedge. IMA Journal of Nu-merical Analysis, 4(1):19–41, January1984. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Atkinson:1993:DCM

[121] K. Atkinson and J. Flores. The dis-crete collocation method for nonlinearintegral equations. IMA Journal of Nu-merical Analysis, 13(2):195–213, 1993.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Atkinson:1985:NEP

[122] K. E. Atkinson. The numerical evalu-ation of particular solutions for Pois-son’s equation. IMA Journal of Nu-merical Analysis, 5(3):319–338, 1985.

CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Atkinson:1989:DGM

[123] K. E. Atkinson and F. A. Potra. Onthe discrete Galerkin method for Fred-holm integral equations of the secondkind. IMA Journal of Numerical Anal-ysis, 9(3):385–403, 1989. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Atkinson:2000:PRE

[124] Kendall Atkinson. The planar radios-ity equation and its numerical solution.IMA Journal of Numerical Analysis, 20(2):303–332, April 2000. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_20/Issue_02/200303.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_20/Issue_02/pdf/200303.pdf.

Atkinson:1994:NSN

[125] Kendall E. Atkinson. The numer-ical solution of a non-linear bound-ary integral equation on smooth sur-faces. IMA Journal of Numerical Anal-ysis, 14(4):461–483, 1994. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Austin:2017:NSS

[126] Anthony P. Austin and Kuan Xu.On the numerical stability of the sec-ond barycentric formula for trigono-metric interpolation in shifted eq-uispaced points. IMA Journalof Numerical Analysis, 37(3):1355–1374, July 1, 2017. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL https://

REFERENCES 53

academic.oup.com/imajna/article/37/3/1355/2670026/On-the-numerical-stability-of-the-second.

Awanou:2015:SFE

[127] Gerard Awanou. Standard finite el-ements for the numerical resolutionof the elliptic Monge–Ampere equa-tion: classical solutions. IMA Jour-nal of Numerical Analysis, 35(3):1150–1166, July 2015. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/35/3/1150.

Axelsson:1981:SEE

[128] O. Axelsson. Stability and error es-timates of Galerkin finite element ap-proximations for convection-diffusionequations. IMA Journal of NumericalAnalysis, 1(3):329–345, 1981. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic).

Axelsson:1997:MPP

[129] O. Axelsson, Yu. R. Hakopian, andYu. A. Kuznetsov. Multilevel pre-conditioning for perturbed finite el-ement matrices. IMA Journal ofNumerical Analysis, 17(1):125–149,January 1997. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_17/Issue_01/170125.sgm.abs.html.

Ayuso:2007:IAM

[130] Blanca Ayuso, Javier de Frutos, andJulia Novo. Improving the accuracyof the mini-element approximation toNavier–Stokes equations. IMA Jour-nal of Numerical Analysis, 27(1):198–218, January 2007. CODEN IJNADH.


Azaiez:2006:MSE

[131] M. Azaıez, F. Ben Belgacem, andC. Bernardi. The mortar spectral el-ement method in domains of opera-tors. Part I: The divergence operatorand Darcy’s equations. IMA Jour-nal of Numerical Analysis, 26(1):131–154, January 2006. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imanum.oxfordjournals.org/cgi/content/abstract/26/1/131; http://imanum.oxfordjournals.org/cgi/reprint/26/1/131.

Azaiez:2008:MSE

[132] M. Azaıez, F. Ben Belgacem, C. Bernardi,and M. El Rhabi. The mortar spectralelement method in domains of opera-tors. Part II: the curl operator and thevector potential problem. IMA Jour-nal of Numerical Analysis, 28(1):106–120, January 2008. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/28/1/106; http://imajna.oxfordjournals.org/cgi/reprint/28/1/106.

Baart:1982:UAC

[133] M. L. Baart. The use of auto-correlation for pseudorank determina-tion in noisy ill-conditioned linear least-squares problems. IMA Journal of Nu-merical Analysis, 2(2):241–247, April

REFERENCES 54

1982. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Baart:1986:QTT

[134] M. L. Baart and R. J. Y. McLeod.Quadratic transformations of trian-gular finite elements in two dimen-sions. IMA Journal of Numerical Anal-ysis, 6(4):475–487, 1986. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Babolian:1981:FGS

[135] E. Babolian and L. M. Delves. Afast Galerkin scheme for linear integro-differential equations. IMA Journalof Numerical Analysis, 1(2):193–213,1981. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Bachmayr:2018:PPS

[136] Markus Bachmayr, Albert Cohen, andWolfgang Dahmen. Parametric PDEs:sparse or low-rank approximations?IMA Journal of Numerical Analysis,38(4):1661–1708, October 16, 2018.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic). URLhttp://academic.oup.com/imajna/article/38/4/1661/4159528.

Badea:2004:SNM

[137] Lori Badea. On the Schwarz-Neumann method with an arbitrarynumber of domains. IMA Jour-nal of Numerical Analysis, 24(2):215–238, April 2004. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_24/Issue_02/240215.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_24/Issue_02/pdf/240215.pdf.

Badea:2014:GCR

[138] Lori Badea. Global convergence rateof a standard multigrid method forvariational inequalities. IMA Jour-nal of Numerical Analysis, 34(1):197–216, January 2014. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/34/1/197.full.pdf+html.

Badia:2014:EAD

[139] S. Badia, R. Codina, T. Gudi,and J. Guzman. Error analy-sis of discontinuous Galerkin meth-ods for the Stokes problem underminimal regularity. IMA Journalof Numerical Analysis, 34(2):800–819, April 2014. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/34/2/800.full.pdf+html.

Badia:2014:CTW

[140] Santiago Badia and Juan VicenteGutierrez-Santacreu. Convergence to-wards weak solutions of the Navier–Stokes equations for a finite ele-ment approximation with numericalsubgrid-scale modelling. IMA Jour-nal of Numerical Analysis, 34(3):1193–1221, July 2014. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/34/3/1193.

Bai:2018:WMS

[141] Jiejing Bai, Chun Li, and Xiao-YanLiu. Weak multi-symplectic reformu-lation and geometric numerical inte-gration for the nonlinear Schrodinger

REFERENCES 55

equations with delta potentials. IMAJournal of Numerical Analysis, 38(1):399–429, January 25, 2018. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/38/1/399/3070515.

Bai:2003:RPC

[142] Journal Zhong-Zhi Bai and Gui-QingLi. Restrictively preconditioned con-jugate gradient methods for systemsof linear equations. IMA Jour-nal of Numerical Analysis, 23(4):561–580, October 2003. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_23/Issue_04/230561.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_23/Issue_04/pdf/230561.pdf.

Bai:1994:NBG

[143] Zhaojun Bai, D. Hu, and L. Reichel.A Newton basis GMRES implementa-tion. IMA Journal of Numerical Anal-ysis, 14(4):563–581, 1994. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Bai:1998:MCM

[144] Zhong-Zhi Bai. On the monotone con-vergence of matrix multisplitting re-laxation methods for the linear com-plementarity problem. IMA Jour-nal of Numerical Analysis, 18(4):509–518, October 1998. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_18/Issue_04/180509.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_18/Issue_04/pdf/180509.pdf.

Bai:2019:RHI

[145] Zhong-Zhi Bai. Regularized HSS it-eration methods for stabilized saddle-point problems. IMA Journalof Numerical Analysis, 39(4):1888–1923, October 2019. CODEN IJ-NADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/39/4/1888/5062724.

Bai:2013:PMI

[146] Zhong-Zhi Bai, Michele Benzi, FangChen, and Zeng-Qi Wang. Pre-conditioned MHSS iteration methodsfor a class of block two-by-two lin-ear systems with applications to dis-tributed control problems. IMA Jour-nal of Numerical Analysis, 33(1):343–369, January 2013. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/33/1/343.full.pdf+html.

Bai:2007:AHS

[147] Zhong-Zhi Bai and Gene H. Golub.Accelerated Hermitian and skew-Hermitian splitting iteration meth-ods for saddle-point problems. IMAJournal of Numerical Analysis, 27(1):1–23, January 2007. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/27/1/1; http://imajna.oxfordjournals.org/cgi/reprint/27/1/1.

Baker:2008:ITR

[148] C. G. Baker, P.-A. Absil, and K. A.Gallivan. An implicit trust-regionmethod on Riemannian manifolds.

REFERENCES 56

IMA Journal of Numerical Analysis, 28(4):665–689, October 2008. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/28/4/665.

Baker:1993:CSQ

[149] C. T. H. Baker and M. S. Derakhshan.Convergence and stability of quadra-ture methods applied to Volterra equa-tions with delay. IMA Journal of Nu-merical Analysis, 13(1):67–91, 1993.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Baker:1991:SAB

[150] Christopher T. H. Baker and Neville J.Ford. Some applications of theboundary-locus method and themethod of D-partitions. IMA Journalof Numerical Analysis, 11(2):143–158,1991. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Baker:1994:CSR

[151] Christopher T. H. Baker and Christo-pher A. H. Paul. Computing stabilityregions—Runge–Kutta methods for de-lay differential equations. IMA Journalof Numerical Analysis, 14(3):347–362,1994. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Baker:1999:SCS

[152] M. D. Baker, E. Suli, and A. F.Ware. Stability and convergenceof the spectral Lagrange–Galerkinmethod for mixed periodic/non-periodic convection-dominated diffu-sion problems. IMA Journal ofNumerical Analysis, 19(4):637–663,October 1999. CODEN IJNADH.

ISSN 0272-4979 (print), 1464-3642(electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_19/Issue_04/190637.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_19/Issue_04/pdf/190637.pdf.

Bakke:1992:SAM

[153] V. L. Bakke and Z. Jackiewicz. Sta-bility analysis of multilag and modi-fied multilag methods for Volterra inte-grodifferential equations. IMA Journalof Numerical Analysis, 12(2):243–257,1992. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Ball:1983:IBP

[154] A. A. Ball. The improved bicubicpatch—natural surface counterpart ofthe parametric cubic segment. IMAJournal of Numerical Analysis, 3(3):373–379, 1983. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic).

Banas:2014:CFE

[155] Lubomır Banas, Zdzislaw Brzezniak,Mikhail Neklyudov, and AndreasProhl. A convergent finite-element-based discretization of the stochas-tic Landau–Lifshitz–Gilbert equa-tion. IMA Journal of Numeri-cal Analysis, 34(2):502–549, April2014. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://imajna.oxfordjournals.org/content/34/2/502.full.pdf+html.

Banas:2014:DUC

[156] Lubomır Banas, Marcus Page, DirkPraetorius, and Jonathan Rochat. A

REFERENCES 57

decoupled and unconditionally conver-gent linear FEM integrator for theLandau–Lifshitz–Gilbert equation withmagnetostriction. IMA Journal ofNumerical Analysis, 34(4):1361–1385,October 2014. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/34/4/1361.

Banjai:2014:TDD

[157] Lehel Banjai. Time-domain Dirichlet-to-Neumann map and its discretiza-tion. IMA Journal of Numeri-cal Analysis, 34(3):1136–1155, July2014. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://imajna.oxfordjournals.org/content/34/3/1136.

Banjai:2008:HMT

[158] Lehel Banjai and Wolfgang Hack-busch. Hierarchical matrix tech-niques for low- and high-frequencyHelmholtz problems. IMA Journalof Numerical Analysis, 28(1):46–79,January 2008. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/28/1/46; http://imajna.oxfordjournals.org/cgi/reprint/28/1/46.

Banjai:2015:FDK

[159] Lehel Banjai, Antonio R. Laliena, andFrancisco-Javier Sayas. Fully dis-crete Kirchhoff formulas with CQ-BEM. IMA Journal of Numer-ical Analysis, 35(2):859–884, April2015. CODEN IJNADH. ISSN

0272-4979 (print), 1464-3642 (elec-tronic). URL http://imajna.oxfordjournals.org/content/35/2/859.2.

Banjai:2019:RKC

[160] Lehel Banjai and Christian Lubich.Runge–Kutta convolution coercivityand its use for time-dependent bound-ary integral equations. IMA Jour-nal of Numerical Analysis, 39(3):1134–1157, July 2019. CODEN IJ-NADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/39/3/1134/5032994.

Banjai:2012:PMM

[161] Lehel Banjai and Daniel Peterseim.Parallel multistep methods for lin-ear evolution problems. IMA Jour-nal of Numerical Analysis, 32(3):1217–1240, July 2012. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/32/3/1217.full.pdf+html.

Bansch:2019:PET

[162] Eberhard Bansch and Andreas Bren-ner. A posteriori estimates for thetwo-step backward differentiation for-mula and discrete regularity for thetime-dependent Stokes equations. IMAJournal of Numerical Analysis, 39(2):713–759, April 2019. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/39/2/713/4961331.

Bansch:2020:MFE

[163] Eberhard Bansch and Markus Gahn. Amixed finite-element method for ellip-

REFERENCES 58

tic operators with wentzell boundarycondition. IMA Journal of NumericalAnalysis, 40(1):87–108, January 2020.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic). URLhttp://academic.oup.com/imajna/article/40/1/87/5123806.

Bao:2003:EBF

[164] Weizhu Bao. Error bounds for thefinite-element approximation of theexterior Stokes equations in two di-mensions. IMA Journal of Numer-ical Analysis, 23(1):125–148, Jan-uary 2003. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_23/Issue_01/230125.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_23/Issue_01/pdf/230125.pdf.

Barbeiro:2005:SFD

[165] S. Barbeiro, J. A. Ferreira, andR. D. Grigorieff. Supraconvergenceof a finite difference scheme for so-lutions in Hs(0, L). IMA Journalof Numerical Analysis, 25(4):797–811,October 2005. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imanum.oxfordjournals.org/cgi/reprint/25/4/797.

Barboteu:2002:NAB

[166] Mikael Barboteu, Weimin Han, andMircea Sofonea. Numerical analysisof a bilateral frictional contact prob-lem for linearly elastic materials. IMAJournal of Numerical Analysis, 22(3):407–436, July 2002. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.

oup.co.uk/imanum/hdb/Volume_22/Issue_03/220407.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_22/Issue_03/pdf/220407.pdf.

Barnhill:1981:CFE

[167] R. E. Barnhill, J. H. Brown, and A. R.Mitchell. A comparison of finite ele-ment error bounds for Poisson’s equa-tion. IMA Journal of Numerical Anal-ysis, 1(1):95–103, 1981. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Barrenechea:2019:TDS

[168] Gabriel R. Barrenechea, ErnestoCastillo, and Ramon Codina. Time-dependent semidiscrete analysis of theviscoelastic fluid flow problem usinga variational multiscale stabilized for-mulation. IMA Journal of NumericalAnalysis, 39(2):792–819, April 2019.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic). URLhttp://academic.oup.com/imajna/article/39/2/792/4964962.

Barrenechea:2015:SAR

[169] Gabriel R. Barrenechea, Volker John,and Petr Knobloch. Some analyti-cal results for an algebraic flux correc-tion scheme for a steady convection-diffusion equation in one dimen-sion. IMA Journal of Numeri-cal Analysis, 35(4):1729–1756, Oc-tober 2015. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/35/4/1729.

Barrenechea:2020:ISS

[170] Gabriel R. Barrenechea and AndreasWachtel. The inf–sup stability of

REFERENCES 59

the lowest order Taylor–Hood pairon affine anisotropic meshes. IMAJournal of Numerical Analysis, 40(4):2377–2398, October 2020. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/40/4/2377/5526934.

Barrett:1988:ORFb

[171] J. W. Barrett, G. Moore, and K. W.Morton. Optimal recovery in the finite-element method. I. Recovery fromweighted L2 fits. IMA Journal of Nu-merical Analysis, 8(2):149–184, 1988.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Barrett:1988:ORFa

[172] J. W. Barrett, G. Moore, and K. W.Morton. Optimal recovery in the finite-element method. II. Defect correctionfor ordinary differential equations. IMAJournal of Numerical Analysis, 8(4):527–540, October 1988. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Barrett:1981:OPG

[173] J. W. Barrett and K. W. Mor-ton. Optimal Petrov–Galerkin meth-ods through approximate symmetriza-tion. IMA Journal of Numerical Anal-ysis, 1(4):439–468, 1981. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Barrett:2004:CFE

[174] J. W. Barrett and R. Nurnberg.Convergence of a finite-element ap-proximation of surfactant spreadingon a thin film in the presence of

van der Waals forces. IMA Jour-nal of Numerical Analysis, 24(2):323–363, April 2004. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_24/Issue_02/240323.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_24/Issue_02/pdf/240323.pdf.

Barrett:1996:EBF

[175] John W. Barrett and James F. Blowey.An error bound for the finite elementapproximation of a model for phaseseparation of a multi-component alloy.IMA Journal of Numerical Analysis, 16(2):257–287, April 1996. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_16/Issue_02/160257.sgm.abs.html.

Barrett:1998:FEA

[176] John W. Barrett and James F. Blowey.Finite element approximation of amodel for phase separation of a multi-component alloy with a concentration-dependent mobility matrix. IMAJournal of Numerical Analysis, 18(2):287–328, April 1998. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_18/Issue_02/180287.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_18/Issue_02/pdf/180287.pdf.

Barrett:1999:IEB

[177] John W. Barrett and James F.Blowey. An improved error boundfor a finite element approximation ofa model for phase separation of amulti-component alloy. IMA Jour-

REFERENCES 60

nal of Numerical Analysis, 19(1):147–168, January 1999. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_19/Issue_01/190147.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_19/Issue_01/pdf/190147.pdf.

Barrett:2002:FEA

[178] John W. Barrett and James F. Blowey.Finite element approximation of anAllen–Cahn/Cahn–Hilliard system.IMA Journal of Numerical Analysis, 22(1):11–71, January 2002. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_22/Issue_01/220011.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_22/Issue_01/pdf/220011.pdf.

Barrett:2018:CFE

[179] John W. Barrett and Sebastien Boy-aval. Corrigendum to: Finite elementapproximation of the FENE-P model.IMA Journal of Numerical Analysis,38(4):2166–2168, October 16, 2018.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic). URLhttp://academic.oup.com/imajna/article/38/4/2166/5052138. See[180].

Barrett:2018:FEA

[180] John W. Barrett and Sebastien Boy-aval. Finite element approximationof the FENE-P model. IMA Jour-nal of Numerical Analysis, 38(4):1599–1660, October 16, 2018. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/

38/4/1599/4561632. See corrigendum[179].

Barrett:1991:FEA

[181] John W. Barrett, Roma Chakrabarti,and Charles M. Elliott. Finite ele-ment approximation of a rigid punchindenting a membrane. IMA Journalof Numerical Analysis, 11(4):579–594,1991. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Barrett:1984:FEM

[182] John W. Barrett and Charles M. El-liott. A finite-element method for solv-ing elliptic equations with Neumanndata on a curved boundary using un-fitted meshes. IMA Journal of Numer-ical Analysis, 4(3):309–325, July 1984.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Barrett:1986:TFE

[183] John W. Barrett and Charles M. El-liott. Total flux estimates for a finite-element approximation of parabolicequations. IMA Journal of NumericalAnalysis, 6(3):253–264, 1986. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic).

Barrett:1987:FUF

[184] John W. Barrett and Charles M. El-liott. Fitted and unfitted finite-elementmethods for elliptic equations withsmooth interfaces. IMA Journal of Nu-merical Analysis, 7(3):283–300, 1987.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Barrett:1987:TFE

[185] John W. Barrett and Charles M. El-liott. Total flux estimates for a finite-

REFERENCES 61

element approximation of elliptic equa-tions. IMA Journal of Numerical Anal-ysis, 7(2):129–148, 1987. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Barrett:1988:FEA

[186] John W. Barrett and Charles M. El-liott. Finite-element approximation ofelliptic equations with a Neumann orRobin condition on a curved bound-ary. IMA Journal of Numerical Anal-ysis, 8(3):321–342, 1988. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Barrett:1989:FEA

[187] John W. Barrett and Charles M.Elliott. Finite-element approxima-tion of a plasma equilibrium prob-lem. IMA Journal of Numerical Anal-ysis, 9(4):443–464, 1989. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Barrett:2008:NAA

[188] John W. Barrett, Harald Garcke, andRobert Nurnberg. Numerical approxi-mation of anisotropic geometric evolu-tion equations in the plane. IMA Jour-nal of Numerical Analysis, 28(2):292–330, April 2008. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/28/2/292; http://imajna.oxfordjournals.org/cgi/reprint/28/2/292.

Barrett:2010:NAG

[189] John W. Barrett, Harald Garcke,and Robert Nurnberg. Numericalapproximation of gradient flows for

closed curves in d. IMA Jour-nal of Numerical Analysis, 30(1):4–60, January 2010. CODEN IJ-NADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/30/1/4; http://imajna.oxfordjournals.org/cgi/reprint/30/1/4.

Barrett:2014:SPF

[190] John W. Barrett, Harald Garcke,and Robert Nurnberg. Stable phasefield approximations of anisotropic so-lidification. IMA Journal of Nu-merical Analysis, 34(4):1289–1327,October 2014. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/34/4/1289.

Barrett:2017:SVA

[191] John W. Barrett, Harald Garcke,and Robert Nurnberg. Stable vari-ational approximations of boundaryvalue problems for Willmore flow withGaussian curvature. IMA Journalof Numerical Analysis, 37(4):1657–1709, October 1, 2017. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL https://academic.oup.com/imajna/article/37/4/1657/3063839.

Barrett:2020:NAC

[192] John W. Barrett, Harald Garcke, andRobert Nurnberg. Numerical ap-proximation of curve evolutions inRiemannian manifolds. IMA Jour-nal of Numerical Analysis, 40(3):1601–1651, July 2020. CODEN IJ-NADH. ISSN 0272-4979 (print),

REFERENCES 62

1464-3642 (electronic). URL http://academic.oup.com/imajna/article/40/3/1601/5368988.

Barrett:2015:SSN

[193] John W. Barrett and Leonid Prigozhin.Sandpiles and superconductors: non-conforming linear finite element ap-proximations for mixed formulationsof quasi-variational inequalities. IMAJournal of Numerical Analysis, 35(1):1–38, January 2015. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/35/1/1.

Barrett:2009:NAC

[194] John W. Barrett and Endre Suli.Numerical approximation of corota-tional dumbbell models for dilutepolymers. IMA Journal of Nu-merical Analysis, 29(4):937–959, Oc-tober 2009. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/29/4/937; http://imajna.oxfordjournals.org/cgi/reprint/29/4/937.

Barrios:2010:PPE

[195] Tomas P. Barrios and RommelBustinza. A priori and a posteriori er-ror analyses of an augmented discontin-uous Galerkin formulation. IMA Jour-nal of Numerical Analysis, 30(4):987–1008, October 2010. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/30/4/987.full.pdf+html.

Bartels:2013:SSA

[196] Soren Bartels. A simple scheme forthe approximation of the elastic flowof inextensible curves. IMA Jour-nal of Numerical Analysis, 33(4):1115–1125, October 2013. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/33/4/1115.full.pdf+html.

Bartels:2016:BSS

[197] Soren Bartels. Broken Sobolev spaceiteration for total variation regularizedminimization problems. IMA Jour-nal of Numerical Analysis, 36(2):493–502, April 2016. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/36/2/493.

Bartels:2016:SSA

[198] Soren Bartels. A simple scheme forthe approximation of elastic vibrationsof inextensible curves. IMA Jour-nal of Numerical Analysis, 36(3):1051–1071, July 2016. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/36/3/1051.

Bartels:2018:SSA

[199] Soren Bartels, Philipp Reiter, andJohannes Riege. A simple schemefor the approximation of self-avoidinginextensible curves. IMA Journalof Numerical Analysis, 38(2):543–565,April 18, 2018. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://academic.

REFERENCES 63

oup.com/imajna/article/38/2/543/3829872.

Bartholomew-Biggs:1988:GCV

[200] M. C. Bartholomew-Biggs. A globallyconvergent version of REQP for con-strained minimization. IMA Journalof Numerical Analysis, 8(2):253–271,1988. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Barucq:2021:SDW

[201] Helene Barucq, M’Barek Fares, CarolaKruse, and Sebastien Tordeux. Spar-sified discrete wave problem involv-ing a radiation condition on a pro-late spheroidal surface. IMA Jour-nal of Numerical Analysis, 41(1):315–343, January 2021. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://academic.oup.com/imajna/article/41/1/315/5627734.

Barzilai:1988:TPS

[202] Jonathan Barzilai and Jonathan M.Borwein. Two-point step size gradi-ent methods. IMA Journal of Nu-merical Analysis, 8(1):141–148, 1988.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Bauermeister:2010:FEA

[203] Norbert Bauermeister and SimonShaw. Finite-element approximationof non-Fickian polymer diffusion. IMAJournal of Numerical Analysis, 30(3):702–730, July 2010. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/30/3/702; http://imajna.oxfordjournals.org/cgi/reprint/30/3/702.

Bause:2005:OCR

[204] Markus Bause. On optimal conver-gence rates for higher-order Navier–Stokes approximations. I. Error esti-mates for the spatial discretization.IMA Journal of Numerical Analysis, 25(4):812–841, October 2005. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://imanum.oxfordjournals.org/cgi/reprint/25/4/812.

Beatson:1997:FER

[205] R. K. Beatson and W. A. Light.Fast evaluation of radial basis func-tions: methods for two-dimensionalpolyharmonic splines. IMA Jour-nal of Numerical Analysis, 17(3):343–372, July 1997. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_17/Issue_03/170343.sgm.abs.html.

Beatson:1992:UIR

[206] R. K. Beatson and M. J. D. Powell.Univariate interpolation on a regular fi-nite grid by a multiquadric plus a lin-ear polynomial. IMA Journal of Nu-merical Analysis, 12(1):107–133, 1992.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Beatson:2007:FEP

[207] R. K. Beatson, M. J. D. Powell, andA. M. Tan. Fast evaluation of polyhar-monic splines in three dimensions. IMAJournal of Numerical Analysis, 27(3):427–450, July 2007. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/

REFERENCES 64

abstract/27/3/427; http://imajna.oxfordjournals.org/cgi/reprint/27/3/427.

Beatson:2014:PCS

[208] R. K. Beatson, Wolfgang zu Castell,and Yuan Xu. A Polya crite-rion for (strict) positive-definitenesson the sphere. IMA Journal ofNumerical Analysis, 34(2):550–568,April 2014. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/34/2/550.full.pdf+html.

Behforooz:1981:ECI

[209] G. H. Behforooz and N. Papamichael.End conditions for interpolatory quin-tic splines. IMA Journal of NumericalAnalysis, 1(1):81–93, 1981. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Behie:1983:CFI

[210] A. Behie and P. Forsyth, Jr. Com-parison of fast iterative methods forsymmetric systems. IMA Journal ofNumerical Analysis, 3(1):41–63, 1983.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Belenki:2012:OAF

[211] Liudmila Belenki, Lars Diening, andChristian Kreuzer. Optimality of anadaptive finite element method forthe p-Laplacian equation. IMA Jour-nal of Numerical Analysis, 32(2):484–510, April 2012. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/32/2/484.full.pdf+html.

Belgacem:2012:UCB

[212] Faker Ben Belgacem, Christine Bernardi,Adel Blouza, and Martin Vohralık. Onthe unilateral contact between mem-branes. Part 2: a posteriori analysisand numerical experiments. IMA Jour-nal of Numerical Analysis, 32(3):1147–1172, July 2012. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/32/3/1147.full.pdf+html.

Belhachmi:2004:RPE

[213] Z. Belhachmi. Residual a posteriori er-ror estimates for a 3D mortar finite-element method: the Stokes system.IMA Journal of Numerical Analysis,24(3):521–547, July 2004. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_24/Issue_03/240521.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_24/Issue_03/pdf/240521.pdf.

Belhachmi:2006:FEA

[214] Zakaria Belhachmi, Dorin Bucur, andJean-Marc Sac-Epee. Finite ele-ment approximation of the Neumanneigenvalue problem in domains withmultiple cracks. IMA Journal ofNumerical Analysis, 26(4):790–810,October 2006. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/26/4/790; http://imajna.oxfordjournals.org/cgi/reprint/26/4/790.

REFERENCES 65

Bellavia:2015:SLC

[215] S. Bellavia and B. Morini. Stronglocal convergence properties of adap-tive regularized methods for non-linear least squares. IMA Jour-nal of Numerical Analysis, 35(2):947–968, April 2015. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/35/2/947.

Bellavia:2021:ACR

[216] Stefania Bellavia, Gianmarco Gurioli,and Benedetta Morini. Adaptive cubicregularization methods with dynamicinexact Hessian information and ap-plications to finite-sum minimization.IMA Journal of Numerical Analysis, 41(1):764–799, January 2021. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/41/1/764/5824083.

Bellavia:2020:SIN

[217] Stefania Bellavia, Natasa Krejic, andNatasa Krklec Jerinkic. Subsampled in-exact Newton methods for minimizinglarge sums of convex functions. IMAJournal of Numerical Analysis, 40(4):2309–2341, October 2020. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/40/4/2309/5528032.

Bellen:1990:SAR

[218] A. Bellen, Z. Jackiewicz, R. Vermiglio,and M. Zennaro. Stability analysis ofRunge–Kutta methods for Volterra in-tegral equations of the second kind.IMA Journal of Numerical Analysis, 10

(1):103–118, January 1990. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic).

Bellen:2002:PSN

[219] Alfredo Bellen. Preservation of su-perconvergence in the numerical in-tegration of delay differential equa-tions with proportional delay. IMAJournal of Numerical Analysis, 22(4):529–536, October 2002. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_22/Issue_04/220529.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_22/Issue_04/pdf/220529.pdf.

Bellettini:1996:NSM

[220] G. Bellettini and M. Paolini. Nu-merical simulations of measurementsof capillary contact angles. IMAJournal of Numerical Analysis, 16(2):165–178, April 1996. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_16/Issue_02/160165.sgm.abs.html.

Beltran:2011:ECN

[221] Carlos Beltran. Estimates on thecondition number of random rank-deficient matrices. IMA Journalof Numerical Analysis, 31(1):25–39,January 2011. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/31/1/25.full.pdf+html.

Belward:1985:FSA

[222] J. A. Belward. Further studies ofthe application of constrained mini-

REFERENCES 66

mization methods to Fredholm integralequations of the first kind. IMA Jour-nal of Numerical Analysis, 5(2):125–139, 1985. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic).

Ben-Artzi:2018:DFO

[223] Matania Ben-Artzi, Jean-Pierre Croisille,Dalia Fishelov, and Ron Katzir.Discrete fourth-order Sturm–Liouvilleproblems. IMA Journal of Nu-merical Analysis, 38(3):1485–1522,July 17, 2018. CODEN IJ-NADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/38/3/1485/4084722.

Bendali:2014:LAR

[224] Abderrahmane Bendali, Yassine Boubendir,and Nicolas Zerbib. Localized adap-tive radiation condition for cou-pling boundary and finite elementmethods applied to wave propa-gation problems. IMA Journalof Numerical Analysis, 34(3):1240–1265, July 2014. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/34/3/1240.

Benouahmane:2019:NMC

[225] Brahim Benouahmane, Cuyt Annie,and Irem Yaman. Near-minimal cu-bature formulae on the disk. IMAJournal of Numerical Analysis, 39(1):297–314, January 25, 2019. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/39/1/297/4718074.

Benzi:2008:BPR

[226] Michele Benzi and Daniele Bertac-cini. Block preconditioning of real-valued iterative algorithms for com-plex linear systems. IMA Jour-nal of Numerical Analysis, 28(3):598–618, July 2008. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/28/3/598; http://imajna.oxfordjournals.org/cgi/reprint/28/3/598.

Bermejo:2010:SLG

[227] R. Bermejo and J. Carpio. Asemi-Lagrangian–Galerkin projectionscheme for convection equations. IMAJournal of Numerical Analysis, 30(3):799–831, July 2010. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/30/3/799; http://imajna.oxfordjournals.org/cgi/reprint/30/3/799.

Bermudez:2006:ASA

[228] A. Bermudez, P. Gamallo, M. R.Nogueiras, and R. Rodrıguez. Ap-proximation of a structural acous-tic vibration problem by hexahe-dral finite elements. IMA Jour-nal of Numerical Analysis, 26(2):391–421, April 2006. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imanum.oxfordjournals.org/cgi/content/abstract/26/2/391; http://imanum.oxfordjournals.org/cgi/reprint/26/2/391.

REFERENCES 67

Bermudez:1991:SSW

[229] A. Bermudez, C. Rodrıguez, and M. A.Vilar. Solving shallow water equa-tions by a mixed implicit finite ele-ment method. IMA Journal of Nu-merical Analysis, 11(1):79–97, 1991.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Bermudez:2012:NST

[230] Alfredo Bermudez, Bibiana Lopez-Rodrıguez, Rodolfo Rodrıguez, andPilar Salgado. Numerical solu-tion of transient eddy current prob-lems with input current intensitiesas boundary data. IMA Journalof Numerical Analysis, 32(3):1001–1029, July 2012. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/32/3/1001.full.pdf+html.

Bermudez:2010:NAF

[231] Alfredo Bermudez, Carlos Reales,Rodolfo Rodrıguez, and Pilar Sal-gado. Numerical analysis of afinite-element method for the ax-isymmetric eddy current model ofan induction furnace. IMA Jour-nal of Numerical Analysis, 30(3):654–676, July 2010. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/30/3/654; http://imajna.oxfordjournals.org/cgi/reprint/30/3/654.

BermudezdeCastroLopez:1982:MME

[232] A. Bermudez de Castro Lopez. Amixed method for the elastoplastic tor-sion problem. IMA Journal of Numeri-

cal Analysis, 2(3):325–334, July 1982.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Bernardi:1990:SGS

[233] Christine Bernardi, Claudio Canuto,Yvon Maday, and Brigitte Metivet.Single-grid spectral collocation for theNavier–Stokes equations. IMA Journalof Numerical Analysis, 10(2):253–297,1990. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Bernardi:2014:PAS

[234] Christine Bernardi, Linda El Alaoui,and Zoubida Mghazli. A posteri-ori analysis of a space and timediscretization of a nonlinear modelfor the flow in partially saturatedporous media. IMA Journal of Nu-merical Analysis, 34(3):1002–1036,July 2014. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/34/3/1002.

Bernardi:2001:EIM

[235] Christine Bernardi, Nicolas Fietier,and Robert G. Owens. An error in-dicator for mortar element solutionsto the Stokes problem. IMA Jour-nal of Numerical Analysis, 21(4):857–886, October 2001. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_04/210857.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_04/pdf/210857.pdf.

Bernardi:1992:MSE

[236] Christine Bernardi, Vivette Girault,and Yvon Maday. Mixed spectral el-

REFERENCES 68

ement approximation of the Navier–Stokes equations in the stream-functionand vorticity formulation. IMA Journalof Numerical Analysis, 12(4):565–608,1992. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Bernardi:1987:MMT

[237] Christine Bernardi, Edwige Godlewski,and Genevieve Raugel. A mixedmethod for the time-dependent Navier–Stokes problem. IMA Journal of Nu-merical Analysis, 7(2):165–189, 1987.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Bernardi:2013:PAF

[238] Christine Bernardi, Frederic Hecht,Herve Le Dret, and Adel Blouza.A posteriori analysis of a finite el-ement discretization of a Naghdishell model. IMA Journal of Nu-merical Analysis, 33(1):190–211, Jan-uary 2013. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/33/1/190.full.pdf+html.

Bernardi:2010:NFE

[239] Christine Bernardi, Frederic Hecht,and Fatma Zohra Nouri. A newfinite-element discretization of theStokes problem coupled with theDarcy equations. IMA Journalof Numerical Analysis, 30(1):61–93,January 2010. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/30/1/61; http://imajna.oxfordjournals.org/cgi/reprint/30/1/61.

Bernardi:2016:SDD

[240] Christine Bernardi, Sarra Maarouf,and Driss Yakoubi. Spectral dis-cretization of Darcy’s equations cou-pled with the heat equation. IMA Jour-nal of Numerical Analysis, 36(3):1193–1216, July 2016. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/36/3/1193.

Bernardi:2015:PEA

[241] Christine Bernardi and Toni Sayah. Aposteriori error analysis of the time-dependent Stokes equations with mixedboundary conditions. IMA Journalof Numerical Analysis, 35(1):179–198,January 2015. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/35/1/179.

Berrone:2008:TSP

[242] Stefano Berrone and Endre Suli.Two-sided a posteriori error boundsfor incompressible quasi-Newtonianflows. IMA Journal of Numeri-cal Analysis, 28(2):382–421, April2008. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/28/2/382; http://imajna.oxfordjournals.org/cgi/reprint/28/2/382.

Berselli:2015:OEE

[243] Luigi C. Berselli, Lars Diening, andMichael Ruzicka. Optimal error es-timate for semi-implicit space–timediscretization for the equations de-

REFERENCES 69

scribing incompressible generalizedNewtonian fluids. IMA Journalof Numerical Analysis, 35(2):680–697, April 2015. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/35/2/680.

Bertoluzza:2000:WSP

[244] Silvia Bertoluzza and Angela Kunoth.Wavelet stabilization and precondition-ing for domain decomposition. IMAJournal of Numerical Analysis, 20(4):533–559, October 2000. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_20/Issue_04/200533.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_20/Issue_04/pdf/200533.pdf.

Berzins:1981:GCM

[245] M. Berzins and P. M. Dew. A gener-alized Chebyshev method for nonlinearparabolic equations in one space vari-able. IMA Journal of Numerical Anal-ysis, 1(4):469–487, 1981. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Berzins:1987:NCM

[246] M. Berzins and P. M. Dew. A note onC0 Chebyshev methods for parabolicP.D.E.s. IMA Journal of NumericalAnalysis, 7(1):15–37, 1987. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Bespalov:2010:VBE

[247] Alexei Bespalov and Norbert Heuer.The hp version of the boundary el-ement method with quasi-uniform

meshes for weakly singular oper-ators on surfaces. IMA Journalof Numerical Analysis, 30(2):377–400, April 2010. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/30/2/377; http://imajna.oxfordjournals.org/cgi/reprint/30/2/377.

Bespalov:2010:NBE

[248] Alexei Bespalov and Norbert Heuer.Natural p-BEM for the electric field in-tegral equation on screens. IMA Jour-nal of Numerical Analysis, 30(3):595–628, July 2010. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/30/3/595; http://imajna.oxfordjournals.org/cgi/reprint/30/3/595.

Bessaih:2019:SCT

[249] Hakima Bessaih and Annie Millet.Strong |L2| convergence of time nu-merical schemes for the stochastic two-dimensional Navier–Stokes equations.IMA Journal of Numerical Analysis, 39(4):2135–2167, October 2019. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/39/4/2135/5091944.

Besse:2021:EPM

[250] Christophe Besse, Stephane De-scombes, Guillaume Dujardin, and In-grid Lacroix-Violet. Energy-preservingmethods for nonlinear Schrodingerequations. IMA Journal of NumericalAnalysis, 41(1):618–653, January 2021.CODEN IJNADH. ISSN 0272-4979

REFERENCES 70

(print), 1464-3642 (electronic). URLhttp://academic.oup.com/imajna/article/41/1/618/5836889.

Besse:2017:DGF

[251] Nicolas Besse. Discontinuous Galerkinfinite element methods for thegyrokinetic-waterbag equations. IMAJournal of Numerical Analysis, 37(2):985–1040, April 2017. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL https://academic.oup.com/imajna/article/37/2/985/2669952/Discontinuous-Galerkin-finite-element-methods-for.

Bessemoulin-Chatard:2015:DFI

[252] Marianne Bessemoulin-Chatard, ClaireChainais-Hillairet, and Francis Filbet.On discrete functional inequalities forsome finite volume schemes. IMA Jour-nal of Numerical Analysis, 35(3):1125–1149, July 2015. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/35/3/1125.

Bessemoulin-Chatard:2014:FVS

[253] Marianne Bessemoulin-Chatard andAnsgar Jungel. A finite volume schemefor a Keller–Segel model with addi-tional cross-diffusion. IMA Journalof Numerical Analysis, 34(1):96–122,January 2014. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/34/1/96.full.pdf+html.

Betcke:2014:SDN

[254] T. Betcke, J. Phillips, and E. A.Spence. Spectral decompositions

and nonnormality of boundary in-tegral operators in acoustic scat-tering. IMA Journal of Numer-ical Analysis, 34(2):700–731, April2014. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://imajna.oxfordjournals.org/content/34/2/700.full.pdf+html.

Betcke:2007:GFD

[255] Timo Betcke. A GSVD formulation of adomain decomposition method for pla-nar eigenvalue problems. IMA Jour-nal of Numerical Analysis, 27(3):451–478, July 2007. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/27/3/451; http://imajna.oxfordjournals.org/cgi/reprint/27/3/451.

Beyn:1990:NCC

[256] W.-J. Beyn. The numerical compu-tation of connecting orbits in dynam-ical systems. IMA Journal of Nu-merical Analysis, 10(3):379–405, 1990.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Beyn:1994:NAH

[257] W.-J. Beyn. Numerical analysis ofhomoclinic orbits emanating from aTakens–Bogdanov point. IMA Journalof Numerical Analysis, 14(3):381–410,1994. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Bi:2011:FVE

[258] Chunjia Bi and Victor Ginting.Finite-volume-element method for

REFERENCES 71

second-order quasilinear elliptic prob-lems. IMA Journal of Numeri-cal Analysis, 31(3):1062–1089, July2011. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://imajna.oxfordjournals.org/content/31/3/1062.full.pdf+html.

Bialecki:1991:SCM

[259] Bernard Bialecki. Sinc-collocationmethods for two-point boundary valueproblems. IMA Journal of Numer-ical Analysis, 11(3):357–375, 1991.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Bialecki:2004:PGM

[260] Journal B. Bialecki, M. Ganesh, andK. Mustapha. A Petrov–Galerkinmethod with quadrature for ellip-tic boundary value problems. IMAJournal of Numerical Analysis, 24(1):157–177, January 2004. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_24/Issue_01/240157.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_24/Issue_01/pdf/240157.pdf.

Bialecki:2003:OSC

[261] Journal Bernard Bialecki and Ryan I.Fernandes. An orthogonal splinecollocation alternating direction im-plicit method for second-order hy-perbolic problems. IMA Journal ofNumerical Analysis, 23(4):693–718,October 2003. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_23/Issue_04/230693.sgm.abs.html; http:

//www3.oup.co.uk/imanum/hdb/Volume_23/Issue_04/pdf/230693.pdf.

Binding:1993:NMU

[262] P. A. Binding, Patrick J. Browne, andXing Zhi Ji. A numerical methodusing the Prufer transformation forthe calculation of eigenpairs of two-parameter Sturm–Liouville problems.IMA Journal of Numerical Analysis,13(4):559–569, 1993. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Birgin:2003:ISP

[263] Journal Ernesto G. Birgin, Jose MarioMartınez, and Marcos Raydan. Inex-act spectral projected gradient meth-ods on convex sets. IMA Jour-nal of Numerical Analysis, 23(4):539–559, October 2003. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_23/Issue_04/230539.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_23/Issue_04/pdf/230539.pdf.

Bjorhus:1998:OSA

[264] Morten Bjørhus. Operator splittingfor abstract Cauchy problems. IMAJournal of Numerical Analysis, 18(3):419–443, July 1998. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_18/Issue_03/180419.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_18/Issue_03/pdf/180419.pdf.

Blanes:2021:CAH

[265] Sergio Blanes, Fernando Casas,Cesareo Gonzalez, and Mechthild Thal-

REFERENCES 72

hammer. Convergence analysis of high-order commutator-free quasi-Magnusexponential integrators for nonau-tonomous linear Schrodinger equations.IMA Journal of Numerical Analysis, 41(1):594–617, January 2021. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/41/1/594/5771304.

Blanes:2018:CAH

[266] Sergio Blanes, Fernando Casas, andMechthild Thalhammer. Convergenceanalysis of high-order commutator-free quasi-Magnus exponential integra-tors for nonautonomous linear evolu-tion equations of parabolic type. IMAJournal of Numerical Analysis, 38(2):743–778, April 18, 2018. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/38/2/743/3799994.

Blank:1995:SCW

[267] Luise Blank. Stability of colloca-tion for weakly singular Volterra equa-tions. IMA Journal of Numerical Anal-ysis, 15(3):357–375, 1995. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Blank:2013:NAC

[268] Luise Blank, Harald Garcke, LaviniaSarbu, and Vanessa Styles. Non-local Allen–Cahn systems: analy-sis and a primal-dual active setmethod. IMA Journal of Numer-ical Analysis, 33(4):1126–1155, Oc-tober 2013. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.


Blaschke:1997:CRI

[269] Barbara Blaschke, Andreas Neubauer,and Otmar Scherzer. On conver-gence rates for the iteratively regu-larized Gauss–Newton method. IMAJournal of Numerical Analysis, 17(3):421–436, July 1997. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_17/Issue_03/170421.sgm.abs.html.

Blechta:2020:LNL

[270] Jan Blechta, Josef Malek, and MartinVohralık. Localization of the W−1,q

norm for local a posteriori efficiency.IMA Journal of Numerical Analysis,40(2):914–950, April 2020. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/40/2/914/5381201.

Blowey:1996:NAM

[271] J. F. Blowey, M. I. M. Copetti, andC. M. Elliott. Numerical analysisof a model for phase separation ofa multi-component alloy. IMA Jour-nal of Numerical Analysis, 16(1):111–139, January 1996. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_16/Issue_01/160111.sgm.abs.html.

Boffi:2017:RBP

[272] Daniele Boffi, Lucia Gastaldi, RodolfoRodrıguez, and Ivana Sebestova.Residual-based a posteriori error es-timation for the Maxwell’s eigen-

REFERENCES 73

value problem. IMA Journal ofNumerical Analysis, 37(4):1710–1732,October 1, 2017. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL https://academic.oup.com/imajna/article/37/4/1710/2870659.

Bogli:2020:ENR

[273] Sabine Bogli and Marco Marletta.Essential numerical ranges for lin-ear operator pencils. IMA Journalof Numerical Analysis, 40(4):2256–2308, October 2020. CODEN IJ-NADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/40/4/2256/5628044.

Bogucz:1984:FOF

[274] E. A. Bogucz and J. D. A. Walker.Fourth-order finite-difference methodsfor two-point boundary value problems.IMA Journal of Numerical Analysis, 4(1):69–82, January 1984. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Boiger:2020:RRC

[275] R. Boiger, A. Leitao, and B. F. Svaiter.Range-relaxed criteria for choosing theLagrange multipliers in nonstationaryiterated Tikhonov method. IMA Jour-nal of Numerical Analysis, 40(1):606–627, January 2020. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://academic.oup.com/imajna/article/40/1/606/5142287.

Boiveau:2016:PFN

[276] Thomas Boiveau and Erik Burman.A penalty-free Nitsche method for

the weak imposition of boundaryconditions in compressible and in-compressible elasticity. IMA Jour-nal of Numerical Analysis, 36(2):770–795, April 2016. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/36/2/770.

Bokil:2012:ASH

[277] V. A. Bokil and N. L. Gibson. Anal-ysis of spatial high-order finite dif-ference methods for Maxwell’s equa-tions in dispersive media. IMA Jour-nal of Numerical Analysis, 32(3):926–956, July 2012. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/32/3/926.full.pdf+html.

Bolin:2020:NSF

[278] David Bolin, Kristin Kirchner, andMihaly Kovacs. Numerical solu-tion of fractional elliptic stochasticPDEs with spatial white noise. IMAJournal of Numerical Analysis, 40(2):1051–1073, April 2020. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/40/2/1051/5253788.

Bollapragada:2019:EIS

[279] Raghu Bollapragada, Richard H. Byrd,and Jorge Nocedal. Exact and inex-act subsampled Newton methods foroptimization. IMA Journal of Numeri-cal Analysis, 39(2):545–578, April 2019.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic). URLhttp://academic.oup.com/imajna/article/39/2/545/4959058.

REFERENCES 74

Bonelle:2015:ACD

[280] Jerome Bonelle and Alexandre Ern.Analysis of compatible discrete oper-ator schemes for the Stokes equationson polyhedral meshes. IMA Jour-nal of Numerical Analysis, 35(4):1672–1697, October 2015. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/35/4/1672.

Bonettini:2011:IBC

[281] Silvia Bonettini. Inexact block co-ordinate descent methods with ap-plication to non-negative matrix fac-torization. IMA Journal of Nu-merical Analysis, 31(4):1431–1452,October 2011. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/31/4/1431.full.pdf+html.

Bonito:2020:FEA

[282] Andrea Bonito, Vivette Girault, andEndre Suli. Finite element approxima-tion of a strain-limiting elastic model.IMA Journal of Numerical Analysis,40(1):29–86, January 2020. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/40/1/29/5139567.

Bonito:2017:CPN

[283] Andrea Bonito and Joseph E. Pasciak.Corrigendum to the paper “Numeri-cal approximation of fractional pow-ers of regularly accretive operators”.IMA Journal of Numerical Analysis,37(4):2170, October 1, 2017. CODENIJNADH. ISSN 0272-4979 (print),

1464-3642 (electronic). URL https://academic.oup.com/imajna/article/37/4/2170/3100450. See [284].

Bonito:2017:NAF

[284] Andrea Bonito and Joseph E. Pasciak.Numerical approximation of fractionalpowers of regularly accretive operators.IMA Journal of Numerical Analysis, 37(3):1245–1273, July 1, 2017. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL https://academic.oup.com/imajna/article/37/3/1245/2670037/Numerical-approximation-of-fractional-powers-of. See corri-gendum [283].

Bonizzoni:2014:MEM

[285] Francesca Bonizzoni, Annalisa Buffa,and Fabio Nobile. Moment equa-tions for the mixed formulation ofthe Hodge Laplacian with stochas-tic loading term. IMA Journal ofNumerical Analysis, 34(4):1328–1360,October 2014. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/34/4/1328.

Bonnaillie-Noel:2016:ENC

[286] V. Bonnaillie-Noel, J. A. Carrillo,T. Goudon, and G. A. Pavliotis. Ef-ficient numerical calculation of driftand diffusion coefficients in the dif-fusion approximation of kinetic equa-tions. IMA Journal of Numeri-cal Analysis, 36(4):1536–1569, Oc-tober 2016. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/36/4/1536.

REFERENCES 75

Bonnans:2006:EES

[287] J. Frederic Bonnans, Stefania Maroso,and Housnaa Zidani. Error estimatesfor stochastic differential games: theadverse stopping case. IMA Jour-nal of Numerical Analysis, 26(1):188–212, January 2006. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imanum.oxfordjournals.org/cgi/content/abstract/26/1/188; http://imanum.oxfordjournals.org/cgi/reprint/26/1/188.

Bornemann:2007:MUN

[288] Folkmar Bornemann. A modelfor understanding numerical sta-bility. IMA Journal of Numeri-cal Analysis, 27(2):219–231, April2007. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/27/2/219; http://imajna.oxfordjournals.org/cgi/reprint/27/2/219.

Bornemann:2013:OCH

[289] Folkmar Bornemann and Georg Wech-slberger. Optimal contours for high-order derivatives. IMA Journalof Numerical Analysis, 33(2):403–412, April 2013. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/33/2/403.full.pdf+html.

Borsdorf:2010:PNA

[290] Rudiger Borsdorf and Nicholas J.Higham. A preconditioned New-ton algorithm for the nearest cor-relation matrix. IMA Journal of

Numerical Analysis, 30(1):94–107,January 2010. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/30/1/94; http://imajna.oxfordjournals.org/cgi/reprint/30/1/94.

Borwein:1992:FEG

[291] J. M. Borwein and I. J. Zucker. Fastevaluation of the gamma function forsmall rational fractions using com-plete elliptic integrals of the first kind.IMA Journal of Numerical Analysis,12(4):519–526, 1992. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Bos:2017:TPA

[292] L. Bos, S. De Marchi, and M. Vianello.Trivariate polynomial approximationon Lissajous curves. IMA Journalof Numerical Analysis, 37(1):519–541,January 1, 2017. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL https://academic.oup.com/imajna/article/37/1/519/2669953/Trivariate-polynomial-approximation-on-Lissajous.

Bou-Rabee:2013:NMM

[293] N. Bou-Rabee and M. Hairer. Nonasymp-totic mixing of the MALA algo-rithm. IMA Journal of Numeri-cal Analysis, 33(1):80–110, January2013. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://imajna.oxfordjournals.org/content/33/1/80.full.pdf+html.

REFERENCES 76

Bou-Rabee:2009:SVI

[294] Nawaf Bou-Rabee and HoumanOwhadi. Stochastic variational in-tegrators. IMA Journal of Numer-ical Analysis, 29(2):421–443, April2009. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/29/2/421; http://imajna.oxfordjournals.org/cgi/reprint/29/2/421.

Boubendir:2013:WNE

[295] Yassine Boubendir and Catalin Turc.Wave-number estimates for regular-ized combined field boundary inte-gral operators in acoustic scatter-ing problems with Neumann bound-ary conditions. IMA Journal ofNumerical Analysis, 33(4):1176–1225,October 2013. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/33/4/1176.full.pdf+html.

Boubendir:2016:HON

[296] Yassine Boubendir, Catalin Turc,and Vıctor Domınguez. High-orderNystrom discretizations for the so-lution of integral equation formula-tions of two-dimensional Helmholtztransmission problems. IMA Jour-nal of Numerical Analysis, 36(1):463–492, January 2016. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/36/1/463.

Bouche:2015:CCD

[297] Daniel Bouche, Francis Collino, Yoann

Morel, and Olivier Vacus. Character-istic current decomposition and radarcross-section analysis for perfectly elec-trically conducting bodies. IMA Jour-nal of Numerical Analysis, 35(1):454–477, January 2015. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/35/1/454.

Bouchut:2014:CTV

[298] Francois Bouchut, David Doyen, andRobert Eymard. Convection andtotal variation flow. IMA Journalof Numerical Analysis, 34(3):1037–1071, July 2014. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/34/3/1037.

Bouchut:2017:CTV

[299] Francois Bouchut, David Doyen, andRobert Eymard. Convection and to-tal variation flow-erratum and improve-ment. IMA Journal of Numerical Anal-ysis, 37(4):2139–2169, October 1, 2017.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic). URLhttps://academic.oup.com/imajna/article/37/4/2139/3038028.

Bouharguane:2018:SMD

[300] Afaf Bouharguane and Benjamin Meli-nand. A splitting method for deepwater with bathymetry. IMA Jour-nal of Numerical Analysis, 38(3):1324–1350, July 17, 2018. CODEN IJ-NADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/38/3/1324/4056072.

REFERENCES 77

Boulmezaoud:2005:MSE

[301] Tahar Z. Boulmezaoud and Mo-hammed El Rhabi. A mortarspectral element method for 3DMaxwell’s equations. IMA Jour-nal of Numerical Analysis, 25(3):577–610, July 2005. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imanum.oxfordjournals.org/cgi/content/abstract/25/3/577; http://imanum.oxfordjournals.org/cgi/reprint/25/3/577.

Boulton:2007:NVA

[302] Lyonell Boulton. Non-variational ap-proximation of discrete eigenvalues ofself-adjoint operators. IMA Journalof Numerical Analysis, 27(1):102–121,January 2007. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/27/1/102; http://imajna.oxfordjournals.org/cgi/reprint/27/1/102.

Boulton:2016:CQM

[303] Lyonell Boulton and Aatef Hobiny.On the convergence of the quadraticmethod. IMA Journal of Numer-ical Analysis, 36(3):1310–1333, July2016. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://imajna.oxfordjournals.org/content/36/3/1310.

Boumal:2019:GRC

[304] Nicolas Boumal, P-A Absil, andCoralia Cartis. Global rates of conver-gence for nonconvex optimization onmanifolds. IMA Journal of Numerical

Analysis, 39(1):1–33, January 25, 2019.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic). URLhttp://academic.oup.com/imajna/article/39/1/1/4836777. See [305].

Boumal:2020:EGR

[305] Nicolas Boumal, P-A. Absil, andCoralia Cartis. Erratum to: “Globalrates of convergence for nonconvexoptimization on manifolds”. IMAJournal of Numerical Analysis, 40(4):2940, October 2020. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/40/4/2940/5730315. See [304].

Boumenir:2001:CNE

[306] A. Boumenir and B. Chanane. Thecomputation of negative eigenvaluesof singular Sturm–Liouville problems.IMA Journal of Numerical Analysis, 21(2):489–501, April 2001. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_02/210489.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_02/pdf/210489.pdf.

Boutelje:2010:NSL

[307] B. R. Boutelje and A. T. Hill.Nonautonomous stability of linearmultistep methods. IMA Journalof Numerical Analysis, 30(2):525–542, April 2010. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/30/2/525; http://imajna.oxfordjournals.org/cgi/reprint/30/2/525.

REFERENCES 78

Boyer:2012:AUF

[308] Franck Boyer. Analysis of the up-wind finite volume method for gen-eral initial- and boundary-value trans-port problems. IMA Journal ofNumerical Analysis, 32(4):1404–1439,October 2012. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/32/4/1404.full.pdf+html.

Boyer:2010:NSA

[309] Franck Boyer, Florence Hubert, andStella Krell. Nonoverlapping Schwarzalgorithm for solving two-dimensionalm-DDFV schemes. IMA Journal ofNumerical Analysis, 30(4):1062–1100,October 2010. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/30/4/1062.full.pdf+html.

Bozzini:2015:IVS

[310] Mira Bozzini, Licia Lenarduzzi, Mil-via Rossini, and Robert Schaback.Interpolation with variably scaledkernels. IMA Journal of Numer-ical Analysis, 35(1):199–219, Jan-uary 2015. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/35/1/199.

Bradji:2007:ODC

[311] Abdallah Bradji and Ahmed-SalahChibi. Optimal defect correctionson composite nonmatching finite-element meshes. IMA Journal ofNumerical Analysis, 27(4):765–780,October 2007. CODEN IJNADH.


Bradji:2008:DCH

[312] Abdallah Bradji and Raphaele Herbin.Discretization of coupled heat andelectrical diffusion problems by finite-element and finite-volume meth-ods. IMA Journal of Numeri-cal Analysis, 28(3):469–495, July2008. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/28/3/469; http://imajna.oxfordjournals.org/cgi/reprint/28/3/469.

Braess:1986:NSB

[313] D. Braess and P. Peisker. On thenumerical solution of the biharmonicequation and the role of squaring ma-trices for preconditioning. IMA Journalof Numerical Analysis, 6(4):393–404,1986. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Braess:1983:NSO

[314] Dietrich Braess. On the numerical so-lution of the one-dimensional Stefanproblem by Newton’s method. IMAJournal of Numerical Analysis, 3(2):161–172, 1983. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic).

Braess:2005:AES

[315] Dietrich Braess and Wolfgang Hack-busch. Approximation of 1/x by

REFERENCES 79

exponential sums in [1,∞). IMAJournal of Numerical Analysis, 25(4):685–697, October 2005. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://imanum.oxfordjournals.org/cgi/reprint/25/4/685.

Braess:2020:EBP

[316] Dietrich Braess, Astrid S. Pech-stein, and Joachim Schoberl. Anequilibration-based a posteriori errorbound for the biharmonic equation andtwo finite element methods. IMA Jour-nal of Numerical Analysis, 40(2):951–975, April 2020. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://academic.oup.com/imajna/article/40/2/951/5344991.

Brandts:2006:NLS

[317] Jan Brandts, Yanping Chen, and JulieYang. A note on least-squares mixedfinite elements in relation to standardand mixed finite elements. IMA Jour-nal of Numerical Analysis, 26(4):779–789, October 2006. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/26/4/779; http://imajna.oxfordjournals.org/cgi/reprint/26/4/779.

Brandts:2003:GSU

[318] Jan Brandts and Michal Krızek. Gradi-ent superconvergence on uniform sim-plicial partitions of polytopes. IMAJournal of Numerical Analysis, 23(3):489–505, July 2003. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_23/

Issue_03/230489.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_23/Issue_03/pdf/230489.pdf.

Brankin:1989:SPL

[319] R. W. Brankin and I. Gladwell. Shape-preserving local interpolation for plot-ting solutions of ODEs. IMA Journalof Numerical Analysis, 9(4):555–566,1989. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Brannigan:1981:TCB

[320] M. Brannigan. Theory and com-putation of best strict constrainedChebyshev approximation of discretedata. IMA Journal of Numerical Anal-ysis, 1(2):169–184, 1981. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Brass:1990:OER

[321] H. Brass. Optimal estimation rules forfunctions of high smoothness. IMAJournal of Numerical Analysis, 10(1):129–136, January 1990. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Breda:2012:CEG

[322] Dimitri Breda, Rossana Vermiglio,and Stefano Maset. Computing theeigenvalues of Gurtin–MacCamy mod-els with diffusion. IMA Journalof Numerical Analysis, 32(3):1030–1050, July 2012. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/32/3/1030.full.pdf+html.

REFERENCES 80

Breda:2004:CCR

[323] Journal D. Breda, S. Maset, andR. Vermiglio. Computing the char-acteristic roots for delay differen-tial equations. IMA Journal of Nu-merical Analysis, 24(1):1–19, Jan-uary 2004. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_24/Issue_01/240001.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_24/Issue_01/pdf/240001.pdf.

Brehier:2019:SCR

[324] Charles-Edouard Brehier, Jianbo Cui,and Jialin Hong. Strong conver-gence rates of semidiscrete split-ting approximations for the stochas-tic Allen–Cahn equation. IMA Jour-nal of Numerical Analysis, 39(4):2096–2134, October 2019. CODEN IJ-NADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/39/4/2096/5060929.

Brehier:2017:AIL

[325] Charles-Edouard Brehier and MarieKopec. Approximation of the in-variant law of SPDEs: error anal-ysis using a Poisson equation for afull-discretization scheme. IMA Jour-nal of Numerical Analysis, 37(3):1375–1410, July 1, 2017. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL https://academic.oup.com/imajna/article/37/3/1375/2669999/Approximation-of-the-invariant-law-of-SPDEs-error.

Breiding:2020:ACN

[326] Paul Breiding and Nick Vannieuwen-

hoven. On the average condition num-ber of tensor rank decompositions.IMA Journal of Numerical Analysis,40(3):1908–1936, July 2020. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/40/3/1908/5519045.

Breit:2020:STA

[327] Dominic Breit and Prince RomeoMensah. Space-time approxima-tion of parabolic systems withvariable growth. IMA Journalof Numerical Analysis, 40(4):2505–2552, October 2020. CODEN IJ-NADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/40/4/2505/5628042.

Bremer:2020:FAJ

[328] James Bremer and Haizhao Yang. Fastalgorithms for Jacobi expansions vianonoscillatory phase functions. IMAJournal of Numerical Analysis, 40(3):2019–2051, July 2020. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/40/3/2019/5442213.

Brenner:2014:PEA

[329] Andreas Brenner, Eberhard Bansch,and Markus Bause. A priori er-ror analysis for finite element ap-proximations of the Stokes problemon dynamic meshes. IMA Journalof Numerical Analysis, 34(1):123–146,January 2014. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/34/1/123.full.pdf+html.

REFERENCES 81

Brenner:2017:GDH

[330] K. Brenner, J. Hennicker, R. Mas-son, and P. Samier. Gradientdiscretization of hybrid-dimensionalDarcy flow in fractured porous me-dia with discontinuous pressures atmatrix-fracture interfaces. IMA Jour-nal of Numerical Analysis, 37(3):1551–1585, July 1, 2017. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL https://academic.oup.com/imajna/article/37/3/1551/2670042/Gradient-discretization-of-hybrid-dimensional.

Brenner:2010:PEE

[331] Susanne C. Brenner, Thirupathi Gudi,and Li yeng Sung. An a posteri-ori error estimator for a quadraticC0-interior penalty method for thebiharmonic problem. IMA Jour-nal of Numerical Analysis, 30(3):777–798, July 2010. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/30/3/777; http://imajna.oxfordjournals.org/cgi/reprint/30/3/777.

Brenner:2020:FEM

[332] Susanne C. Brenner, Li yeng Sung,and Joscha Gedicke. P1 finite ele-ment methods for an elliptic optimalcontrol problem with pointwise stateconstraints. IMA Journal of Numeri-cal Analysis, 40(1):1–28, January 2020.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic). URLhttp://academic.oup.com/imajna/article/40/1/1/5177806.

Bressan:2011:IRD

[333] Andrea Bressan. Isogeometric reg-ular discretization for the Stokesproblem. IMA Journal of Numer-ical Analysis, 31(4):1334–1356, Oc-tober 2011. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/31/4/1334.full.pdf+html.

Bressan:2018:ISS

[334] Andrea Bressan and Bert Juttler. Inf-sup stability of isogeometric Taylor–Hood and sub-grid methods forthe Stokes problem with hierarchi-cal splines. IMA Journal of Nu-merical Analysis, 38(2):955–975, April18, 2018. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://academic.oup.com/imajna/article/38/2/955/4099778.

Bressan:2013:IDS

[335] Andrea Bressan and Giancarlo San-galli. Isogeometric discretizationsof the Stokes problem: stabilityanalysis by the macroelement tech-nique. IMA Journal of Numer-ical Analysis, 33(2):629–651, April2013. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://imajna.oxfordjournals.org/content/33/2/629.full.pdf+html.

Brett:2016:OCE

[336] Charles Brett, Andreas Dedner, andCharles Elliott. Optimal control ofelliptic PDEs at points. IMA Jour-nal of Numerical Analysis, 36(3):1015–1050, July 2016. CODEN IJNADH.

REFERENCES 82


Brezinski:1983:ECC

[337] Claude Brezinski. Error control in con-vergence acceleration processes. IMAJournal of Numerical Analysis, 3(1):65–80, 1983. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic).

Briggs:2002:FDA

[338] A. J. Briggs, J. R. Claisse, andC. M. Elliott. Finite-difference ap-proximation of a one-dimensionalHamilton–Jacobi/elliptic system aris-ing in superconductivity. IMA Jour-nal of Numerical Analysis, 22(1):89–131, January 2002. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_22/Issue_01/220089.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_22/Issue_01/pdf/220089.pdf.

Brink:1996:CRC

[339] Ulrich Brink and Ernst P. Stephan.Convergence rates for the coupling ofFEM and collocation BEM. IMAJournal of Numerical Analysis, 16(1):93–110, January 1996. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_16/Issue_01/160093.sgm.abs.html.

Brix:2015:MPD

[340] Kolja Brix, Martin Campos Pinto,Claudio Canuto, and Wolfgang Dah-men. Multilevel preconditioning of

discontinuous Galerkin spectral ele-ment methods. Part I: geometricallyconforming meshes. IMA Journal ofNumerical Analysis, 35(4):1487–1532,October 2015. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/35/4/1487.

Broersen:2015:PGD

[341] Dirk Broersen and Rob P. Stevenson.A Petrov–Galerkin discretization withoptimal test space of a mild-weak for-mulation of convection-diffusion equa-tions in mixed form. IMA Jour-nal of Numerical Analysis, 35(1):39–73, January 2015. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/35/1/39.

Brown:2004:SIS

[342] Journal B. M. Brown and M. Marletta.Spectral inclusion and spectral exact-ness for PDEs on exterior domains.IMA Journal of Numerical Analysis, 24(1):21–43, January 2004. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_24/Issue_01/240021.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_24/Issue_01/pdf/240021.pdf.

Brown:1982:VII

[343] N. G. Brown and R. Wait. Verificationand inversion of isoparametric transfor-mations. IMA Journal of NumericalAnalysis, 2(4):481–492, October 1982.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

REFERENCES 83

Browne:1982:NTM

[344] Patrick J. Browne and B. D. Slee-man. A numerical technique for mul-tiparameter eigenvalue problems. IMAJournal of Numerical Analysis, 2(4):451–457, October 1982. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Brownlee:2004:AOI

[345] Rob Brownlee and Will Light. Ap-proximation orders for interpolationby surface splines to rough functions.IMA Journal of Numerical Analysis, 24(2):179–192, April 2004. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_24/Issue_02/240179.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_24/Issue_02/pdf/240179.pdf.

Brumm:2014:HMM

[346] Bernd Brumm and Daniel Weiss. Het-erogeneous multiscale methods forhighly oscillatory mechanical sys-tems with solution-dependent fre-quencies. IMA Journal of Nu-merical Analysis, 34(1):55–82, Jan-uary 2014. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/34/1/55.full.pdf+html.

Brunner:1989:NST

[347] H. Brunner and J.-P. Kauthen. Thenumerical solution of two-dimensionalVolterra integral equations by colloca-tion and iterated collocation. IMAJournal of Numerical Analysis, 9(1):47–59, 1989. CODEN IJNADH. ISSN

0272-4979 (print), 1464-3642 (elec-tronic).

Brunner:1986:PSC

[348] Hermann Brunner. Polynomial splinecollocation methods for Volterra inte-grodifferential equations with weaklysingular kernels. IMA Journal of Nu-merical Analysis, 6(2):221–239, 1986.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Brunner:2009:DGA

[349] Hermann Brunner, Penny J. Davies,and Dugald B. Duncan. Discon-tinuous Galerkin approximations forVolterra integral equations of thefirst kind. IMA Journal of Nu-merical Analysis, 29(4):856–881, Oc-tober 2009. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/29/4/856; http://imajna.oxfordjournals.org/cgi/reprint/29/4/856.

Brunner:2012:GCL

[350] Hermann Brunner, Penny J. Davies,and Dugald B. Duncan. Global con-vergence and local superconvergenceof first-kind Volterra integral equa-tion approximations. IMA Journalof Numerical Analysis, 32(3):1117–1146, July 2012. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/32/3/1117.full.pdf+html.

Brunner:2001:GMC

[351] Hermann Brunner, Qiya Hu, and QunLin. Geometric meshes in collocation

REFERENCES 84

methods for Volterra integral equa-tions with proportional delays. IMAJournal of Numerical Analysis, 21(4):783–798, October 2001. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_04/210783.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_04/pdf/210783.pdf.

Brunner:2010:SPC

[352] Hermann Brunner, Arieh Iserles,and Syvert P. Nørsett. The spec-tral problem for a class of highlyoscillatory Fredholm integral oper-ators. IMA Journal of Numer-ical Analysis, 30(1):108–130, Jan-uary 2010. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/30/1/108; http://imajna.oxfordjournals.org/cgi/reprint/30/1/108.

Brunner:2011:ACS

[353] Hermann Brunner, Hehu Xie, and RanZhang. Analysis of collocation solu-tions for a class of functional equa-tions with vanishing delays. IMA Jour-nal of Numerical Analysis, 31(2):698–718, April 2011. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/31/2/698.full.pdf+html.

Brutman:1986:GAP

[354] L. Brutman. Generalized alternatingpolynomials, some properties and nu-merical applications. IMA Journalof Numerical Analysis, 6(2):125–136,


Brutman:1990:IPA

[355] L. Brutman, P. Vertesi, and Y. Xu.Interpolation by polynomials in z andz−1 on an annulus. IMA Journal of Nu-merical Analysis, 10(2):235–241, 1990.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Bryson:2005:SDC

[356] Steve Bryson, Alexander Kurganov,Doron Levy, and Guergana Petrova.Semi-discrete central-upwind schemeswith reduced dissipation for Hamilton–Jacobi equations. IMA Journal ofNumerical Analysis, 25(1):113–138,January 2005. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imanum.oupjournals.org/cgi/content/abstract/25/1/113; http://imanum.oupjournals.org/cgi/reprint/25/1/113.

Buchholz:2018:CGB

[357] Simone Buchholz, Ludwig Gauckler,Volker Grimm, Marlis Hochbruck, andTobias Jahnke. Closing the gap be-tween trigonometric integrators andsplitting methods for highly oscil-latory differential equations. IMAJournal of Numerical Analysis, 38(1):57–74, January 25, 2018. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/38/1/57/3065608.

Buckwar:2005:WAS

[358] Evelyn Buckwar and Tony Shardlow.Weak approximation of stochastic dif-ferential delay equations. IMA Jour-

REFERENCES 85

nal of Numerical Analysis, 25(1):57–86, January 2005. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imanum.oupjournals.org/cgi/content/abstract/25/1/57; http://imanum.oupjournals.org/cgi/reprint/25/1/57.

Buffa:2017:RSL

[359] Annalisa Buffa and Eduardo M. Garau.Refinable spaces and local approxima-tion estimates for hierarchical splines.IMA Journal of Numerical Analysis, 37(3):1125–1149, July 1, 2017. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL https://academic.oup.com/imajna/article/37/3/1125/2670017/Refinable-spaces-and-local-approximation-estimates.

Buffa:2009:CEB

[360] Annalisa Buffa and Christoph Ort-ner. Compact embeddings of bro-ken Sobolev spaces and applica-tions. IMA Journal of Numer-ical Analysis, 29(4):827–855, Oc-tober 2009. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/29/4/827; http://imajna.oxfordjournals.org/cgi/reprint/29/4/827.

Buhmann:1988:CUQ

[361] M. D. Buhmann. Convergence of uni-variate quasi-interpolation using multi-quadrics. IMA Journal of NumericalAnalysis, 8(3):365–383, 1988. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic).

Buhmann:1992:DDN

[362] M. D. Buhmann and A. Iserles. On thedynamics of a discretized neutral equa-tion. IMA Journal of Numerical Anal-ysis, 12(3):339–363, 1992. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). IMA Conference onDynamics of Numerics and Numerics ofDynamics (Bristol, 1990).

Buhmann:2020:ANC

[363] Martin D. Buhmann, Stefano DeMarchi, and Emma Perracchione.Analysis of a new class of rational RBFexpansions. IMA Journal of NumericalAnalysis, 40(3):1972–1993, July 2020.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic). URLhttp://academic.oup.com/imajna/article/40/3/1972/5431586. See er-ratum [364].

Buhmann:2020:EAN

[364] Martin D. Buhmann, Stefano DeMarchi, and Emma Perracchione. Er-ratum to: Analysis of a new classof rational RBF expansions. IMAJournal of Numerical Analysis, 40(4):2941, October 2020. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/40/4/2941/5753582. See [363].

Buhmann:2010:NRB

[365] Martin D. Buhmann, Slawomir Dinew,and Elisabeth Larsson. A noteon radial basis function interpolantlimits. IMA Journal of Numer-ical Analysis, 30(2):543–554, April2010. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-

REFERENCES 86

tronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/30/2/543; http://imajna.oxfordjournals.org/cgi/reprint/30/2/543.

Bujalska:1982:QS

[366] A. Bujalska and R. Smarzewski.Quadratic X-splines. IMA Journal ofNumerical Analysis, 2(1):37–47, Jan-uary 1982. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic).

Bujanda:2007:OCL

[367] B. Bujanda and J. C. Jorge. Or-der conditions for linearly implicitfractional step Runge–Kutta meth-ods. IMA Journal of Numer-ical Analysis, 27(4):781–797, Oc-tober 2007. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/27/4/781; http://imajna.oxfordjournals.org/cgi/reprint/27/4/781.

Bultheel:2010:RQF

[368] A. Bultheel, P. Gonzalez-Vera, E. Hen-driksen, and O. Njastad. Rationalquadrature formulas on the unit cir-cle with prescribed nodes and maxi-mal domain of validity. IMA Jour-nal of Numerical Analysis, 30(4):940–963, October 2010. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/30/4/940.full.pdf+html.

Burke:2003:RSC

[369] J. V. Burke, A. S. Lewis, and M. L.Overton. Robust stability and a criss-

cross algorithm for pseudospectra. IMAJournal of Numerical Analysis, 23(3):359–375, July 2003. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_23/Issue_03/drg004.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_23/Issue_03/pdf/drg004.pdf.

Burke:2008:SSR

[370] J. V. Burke, A. S. Lewis, and M. L.Overton. The speed of Shor’s R-algorithm. IMA Journal of Nu-merical Analysis, 28(4):711–720, Oc-tober 2008. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/28/4/711.

Burman:2009:WEE

[371] Erik Burman, Johnny Guzman, andDmitriy Leykekhman. Weighted er-ror estimates of the continuous in-terior penalty method for singularlyperturbed problems. IMA Jour-nal of Numerical Analysis, 29(2):284–314, April 2009. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/29/2/284; http://imajna.oxfordjournals.org/cgi/reprint/29/2/284.

Burman:2018:RFE

[372] Erik Burman, Johnny Guzman,Manuel A. Sanchez, and Marcus Sarkis.Robust flux error estimation of an un-fitted Nitsche method for high-contrastinterface problems. IMA Journalof Numerical Analysis, 38(2):646–668,

REFERENCES 87

April 18, 2018. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://academic.oup.com/imajna/article/38/2/646/3829613.

Burman:2010:IPS

[373] Erik Burman and Peter Hansbo.Interior-penalty-stabilized Lagrangemultiplier methods for the finite-element solution of elliptic inter-face problems. IMA Journal ofNumerical Analysis, 30(3):870–885,July 2010. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/30/3/870; http://imajna.oxfordjournals.org/cgi/reprint/30/3/870.

Burman:2017:CDG

[374] Erik Burman, Peter Hansbo, Mats G.Larson, and Andre Massing. A cutdiscontinuous Galerkin method forthe Laplace–Beltrami operator. IMAJournal of Numerical Analysis, 37(1):138–169, January 1, 2017. CO-DEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic). URLhttps://academic.oup.com/imajna/article/37/1/138/2884281/A-cut-discontinuous-Galerkin-method-for-the.

Burrage:1985:SPS

[375] K. Burrage and F. H. Chipman. Thestability properties of singly-implicitgeneral linear methods. IMA Journalof Numerical Analysis, 5(3):287–295,1985. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Burrage:1987:ASG

[376] Kevin Burrage. (k, l)-algebraic stabil-ity of Gauss methods. IMA Journalof Numerical Analysis, 7(2):251–259,1987. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Burrage:1988:ASR

[377] Kevin Burrage. (k, l)-algebraic stabilityof Runge–Kutta methods. IMA Jour-nal of Numerical Analysis, 8(3):385–400, 1988. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic).

Burrage:1988:OPI

[378] Kevin Burrage. Order properties ofimplicit multivalue methods for ordi-nary differential equations. IMA Jour-nal of Numerical Analysis, 8(1):43–69,1988. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Buscaglia:2012:IEF

[379] Gustavo C. Buscaglia and Abdel-latif Agouzal. Interpolation estimatefor a finite-element space with em-bedded discontinuities. IMA Jour-nal of Numerical Analysis, 32(2):672–686, April 2012. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/32/2/672.full.pdf+html.

Buscaglia:2015:FEM

[380] Gustavo C. Buscaglia and VitorianoRuas. Finite element methods forthe Stokes system with interface pres-sure discontinuities. IMA Journalof Numerical Analysis, 35(1):220–238,January 2015. CODEN IJNADH.

REFERENCES 88


Bustinza:2008:CLD

[381] Rommel Bustinza, Gabriel N. Gat-ica, and Francisco-Javier Sayas. Onthe coupling of local discontinuousGalerkin and boundary element meth-ods for non-linear exterior trans-mission problems. IMA Journalof Numerical Analysis, 28(2):225–244, April 2008. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/28/2/225; http://imajna.oxfordjournals.org/cgi/reprint/28/2/225.

Butcher:1986:OOS

[382] J. C. Butcher. Optimal order and step-size sequences. IMA Journal of Nu-merical Analysis, 6(4):433–438, 1986.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Butcher:2010:TBS

[383] J. C. Butcher. Trees, B-series andexponential integrators. IMA Jour-nal of Numerical Analysis, 30(1):131–140, January 2010. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/30/1/131; http://imajna.oxfordjournals.org/cgi/reprint/30/1/131.

Caceres:2017:MVE

[384] Ernesto Caceres and Gabriel N. Gatica.A mixed virtual element method for

the pseudostress–velocity formulationof the Stokes problem. IMA Journalof Numerical Analysis, 37(1):296–331,January 1, 2017. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL https://academic.oup.com/imajna/article/37/1/296/2669934/A-mixed-virtual-element-method-for-the.

Cahlon:1992:NSF

[385] B. Cahlon and D. Schmidt. Numericalsolutions for functional integral equa-tions. IMA Journal of Numerical Anal-ysis, 12(4):527–543, 1992. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Cahlon:1982:PPA

[386] Baruch Cahlon and Darrell Schmidt.Piecewise polynomial approximate so-lutions of an automatic control prob-lem. IMA Journal of Numerical Anal-ysis, 2(1):1–19, January 1982. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic).

Cai:1999:APD

[387] Xing Cai, Bjørn Fredrik Nielsen, andAslak Tveito. An analysis of a pre-conditioner for the discretized pressureequation arising in reservoir simulation.IMA Journal of Numerical Analysis, 19(2):291–316, April 1999. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_19/Issue_02/190291.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_19/Issue_02/pdf/190291.pdf.

Caloz:1997:SAR

[388] Gabriel Caloz. Stability of the approx-imation of a regular solution branch.

REFERENCES 89

IMA Journal of Numerical Analysis, 17(2):285–303, April 1997. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_17/Issue_02/170285.sgm.abs.html.

Calvo:1996:GEE

[389] M. Calvo, D. J. Higham, J. I. Mon-tijano, and L. Randez. Global er-ror estimation with adaptive explicitRunge–Kutta methods. IMA Jour-nal of Numerical Analysis, 16(1):47–63, January 1996. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_16/Issue_01/160047.sgm.abs.html.

Calvo:2002:HOS

[390] M. P. Calvo. High order starting iter-ates for implicit Runge–Kutta meth-ods: an improvement for variable-step symplectic integrators. IMAJournal of Numerical Analysis, 22(1):153–166, January 2002. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_22/Issue_01/220153.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_22/Issue_01/pdf/220153.pdf.

Calvo:1999:CMT

[391] M. P. Calvo, A. Iserles, and A. Zanna.Conservative methods for the Todalattice equations. IMA Journal ofNumerical Analysis, 19(4):509–523,October 1999. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_19/Issue_04/190509.sgm.abs.html; http:


Camacho:2015:PPE

[392] Fernando Camacho and Alan Dem-low. L2 and pointwise a posteri-ori error estimates for FEM for el-liptic PDEs on surfaces. IMA Jour-nal of Numerical Analysis, 35(3):1199–1227, July 2015. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/35/3/1199.

Camano:2018:EAA

[393] Jessika Camano, Ricardo Oyarzua, Ri-cardo Ruiz-Baier, and Giordano Tierra.Error analysis of an augmented mixedmethod for the Navier–Stokes problemwith mixed boundary conditions. IMAJournal of Numerical Analysis, 38(3):1452–1484, July 17, 2018. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/38/3/1452/4082917.

Cameron:1983:SDA

[394] Ian T. Cameron. Solution ofdifferential-algebraic systems using di-agonally implicit Runge–Kutta meth-ods. IMA Journal of Numerical Anal-ysis, 3(3):273–289, 1983. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Cameron:1985:API

[395] R. F. Cameron and S. McKee. Theanalysis of product integration meth-ods for Abel’s equation using discretefractional differentiation. IMA Journalof Numerical Analysis, 5(3):339–353,

REFERENCES 90


Campos:2011:QFI

[396] Rafael G. Campos, Francisco DomınguezMota, and E. Coronado. Quadra-ture formulas for integral trans-forms generated by orthogonal poly-nomials. IMA Journal of Numer-ical Analysis, 31(3):1181–1193, July2011. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://imajna.oxfordjournals.org/content/31/3/1181.full.pdf+html.

Cances:2021:NAF

[397] Clement Cances, Claire Chainais-Hillairet, Jurgen Fuhrmann, andBenoıt Gaudeul. A numerical-analysis-focused comparison of several finite vol-ume schemes for a unipolar degener-ate drift-diffusion model. IMA Jour-nal of Numerical Analysis, 41(1):271–314, January 2021. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://academic.oup.com/imajna/article/41/1/271/5872000.

Cances:2018:TGM

[398] Eric Cances, Rachida Chakir, Lian-hua He, and Yvon Maday. Two-grid methods for a class of nonlin-ear elliptic eigenvalue problems. IMAJournal of Numerical Analysis, 38(2):605–645, April 18, 2018. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/38/2/605/3866674.

Cangiani:2020:VEM

[399] A. Cangiani, P. Chatzipantelidis,G. Diwan, and E. H. Georgoulis.Virtual element method for quasilin-ear elliptic problems. IMA Journalof Numerical Analysis, 40(4):2450–2472, October 2020. CODEN IJ-NADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/40/4/2450/5586239.

Cangiani:2014:ADG

[400] Andrea Cangiani, Emmanuil H. Geor-goulis, and Stephen Metcalfe. Adap-tive discontinuous Galerkin methodsfor nonstationary convection-diffusionproblems. IMA Journal of Numer-ical Analysis, 34(4):1578–1597, Oc-tober 2014. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/34/4/1578.

Cangiani:2017:CNV

[401] Andrea Cangiani, Gianmarco Manzini,and Oliver J. Sutton. Conformingand nonconforming virtual elementmethods for elliptic problems. IMAJournal of Numerical Analysis, 37(3):1317–1354, July 1, 2017. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL https://academic.oup.com/imajna/article/37/3/1317/2670019/Conforming-and-nonconforming-virtual-element.

Cano:2010:MCM

[402] B. Cano and M. J. Moreta. Multi-step cosine methods for second-orderpartial differential systems. IMA Jour-nal of Numerical Analysis, 30(2):431–

REFERENCES 91

461, April 2010. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/30/2/431; http://imajna.oxfordjournals.org/cgi/reprint/30/2/431.

Cano:1998:EGN

[403] B. Cano and J. M. Sanz-Serna. Errorgrowth in the numerical integration ofperiodic orbits by multistep methods,with application to reversible systems.IMA Journal of Numerical Analysis, 18(1):57–75, January 1998. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_18/Issue_01/180057.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_18/Issue_01/pdf/180057.pdf.

Canuto:2014:BPC

[404] Claudio Canuto, Luca F. Pavarino,and Alexandre B. Pieri. BDDC pre-conditioners for continuous and dis-continuous Galerkin methods usingspectral/hp elements with variable lo-cal polynomial degree. IMA Jour-nal of Numerical Analysis, 34(3):879–903, July 2014. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/34/3/879.

Cao:1997:HBM

[405] Thang Cao. Hierarchical basis meth-ods for hypersingular integral equa-tions. IMA Journal of Numer-ical Analysis, 17(4):603–619, Oc-tober 1997. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642

(electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_17/Issue_04/170603.sgm.abs.html.

Cao:2019:CMF

[406] X. Cao, S. F. Nemadjieu, and I. S.Pop. Convergence of an MPFA finitevolume scheme for a two-phase porousmedia flow model with dynamic capil-larity. IMA Journal of Numerical Anal-ysis, 39(1):512–544, January 25, 2019.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic). URLhttp://academic.oup.com/imajna/article/39/1/512/4826975.

Cao:2018:FEA

[407] Yanzhao Cao, Jialin Hong, and Zhi-hui Liu. Finite element approxima-tions for second-order stochastic dif-ferential equation driven by fractionalBrownian motion. IMA Journal of Nu-merical Analysis, 38(1):184–197, Jan-uary 25, 2018. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://academic.oup.com/imajna/article/38/1/184/3062450.

Cardenal:1998:SSQ

[408] Jesus Cardenal, Iain S. Duff, andJose M. Jimenez. Solution of sparsequasi-square rectangular systems byGaussian elimination. IMA Jour-nal of Numerical Analysis, 18(2):165–177, April 1998. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_18/Issue_02/180165.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_18/Issue_02/pdf/180165.pdf.

REFERENCES 92

Carr:1995:NAM

[409] J. Carr, D. B. Duncan, and C. H.Walshaw. Numerical approximation ofa metastable system. IMA Journalof Numerical Analysis, 15(4):505–521,1995. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Carstensen:2016:BAE

[410] C. Carstensen, D. Gallistl, andM. Schedensack. L2 best approxi-mation of the elastic stress in theArnold–Winther FEM. IMA Jour-nal of Numerical Analysis, 36(3):1096–1119, July 2016. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/36/3/1096.

Carstensen:2017:NFO

[411] C. Carstensen and K. Kohler. Non-conforming FEM for the obstacleproblem. IMA Journal of Numeri-cal Analysis, 37(1):64–93, January 1,2017. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).URL https://academic.oup.com/imajna/article/37/1/64/2669937/Nonconforming-FEM-for-the-obstacle-problem.

Carstensen:2015:MAC

[412] C. Carstensen and M. Schedensack.Medius analysis and comparison re-sults for first-order finite element meth-ods in linear elasticity. IMA Jour-nal of Numerical Analysis, 35(4):1591–1621, October 2015. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/35/4/1591.

Carstensen:2008:CAF

[413] Carsten Carstensen. Convergence of anadaptive FEM for a class of degenerateconvex minimization problems. IMAJournal of Numerical Analysis, 28(3):423–439, July 2008. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/28/3/423; http://imajna.oxfordjournals.org/cgi/reprint/28/3/423.

Carstensen:2000:CMF

[414] Carsten Carstensen and Stefan A.Funken. Coupling of mixed finite el-ements and boundary elements. IMAJournal of Numerical Analysis, 20(3):461–480, July 2000. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_20/Issue_03/200461.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_20/Issue_03/pdf/200461.pdf.

Carstensen:2019:PPE

[415] Carsten Carstensen, Gouranga Mallik,and Neela Nataraj. A priori and aposteriori error control of discontinu-ous Galerkin finite element methodsfor the von Karman equations. IMAJournal of Numerical Analysis, 39(1):167–200, January 25, 2019. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/39/1/167/4904161.

Carstensen:2021:NFE

[416] Carsten Carstensen, Gouranga Mallik,and Neela Nataraj. Nonconforming

REFERENCES 93

finite element discretization for semi-linear problems with trilinear nonlin-earity. IMA Journal of NumericalAnalysis, 41(1):164–205, January 2021.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic). URLhttp://academic.oup.com/imajna/article/41/1/164/5823968.

Carstensen:2016:CRU

[417] Carsten Carstensen, Neela Nataraj,and Amiya K. Pani. Comparison re-sults and unified analysis for first-orderfinite volume element methods for aPoisson model problem. IMA Jour-nal of Numerical Analysis, 36(3):1120–1142, July 2016. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/36/3/1120.

Carstensen:1997:SBE

[418] Carsten Carstensen and Peter Wrig-gers. On the symmetric bound-ary element method and the sym-metric coupling of boundary elementsand finite elements. IMA Jour-nal of Numerical Analysis, 17(2):201–238, April 1997. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_17/Issue_02/170201.sgm.abs.html.

Carter:2007:SEE

[419] Rebecca Carter and Michael B.Giles. Sharp error estimates for dis-cretizations of the 1D convection–diffusion equation with Dirac ini-tial data. IMA Journal of Numer-ical Analysis, 27(2):406–425, April2007. CODEN IJNADH. ISSN

0272-4979 (print), 1464-3642 (elec-tronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/27/2/406; http://imajna.oxfordjournals.org/cgi/reprint/27/2/406.

Cartis:2012:ACR

[420] C. Cartis, N. I. M. Gould, andPh. L. Toint. An adaptive cubicregularization algorithm for noncon-vex optimization with convex con-straints and its function-evaluationcomplexity. IMA Journal of Nu-merical Analysis, 32(4):1662–1695,October 2012. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/32/4/1662.full.pdf+html.

Carvalhaes:2013:SIN

[421] Claudio G. Carvalhaes. Spline inter-polation on nonunisolvent sets. IMAJournal of Numerical Analysis, 33(1):370–375, January 2013. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://imajna.oxfordjournals.org/content/33/1/370.full.pdf+html.

Cascavita:2020:HHO

[422] Karol L. Cascavita, Franz Chouly,and Alexandre Ern. Hybrid high-order discretizations combined withNitsche’s method for Dirichlet andSignorini boundary conditions. IMAJournal of Numerical Analysis, 40(4):2189–2226, October 2020. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/40/4/2189/5618689.

REFERENCES 94

Cascon:2012:QCA

[423] J. Manuel Cascon and Ricardo H.Nochetto. Quasioptimal cardinal-ity of Afem driven by nonresidualestimators. IMA Journal of Nu-merical Analysis, 32(1):1–29, Jan-uary 2012. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/32/1/1.full.pdf+html.

Cash:1982:MIR

[424] J. R. Cash and A. Singhal. Mono-implicit Runge–Kutta formulae for thenumerical integration of stiff differen-tial systems. IMA Journal of Numeri-cal Analysis, 2(2):211–227, April 1982.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Castro:2008:NAB

[425] Carlos Castro, Sorin Micu, and Ar-naud Munch. Numerical approxima-tion of the boundary control for thewave equation with mixed finite el-ements in a square. IMA Journalof Numerical Analysis, 28(1):186–214,January 2008. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/28/1/186; http://imajna.oxfordjournals.org/cgi/reprint/28/1/186.

Caucao:2016:PPE

[426] Sergio Caucao, David Mora, andRicardo Oyarzua. A priori anda posteriori error analysis of apseudostress-based mixed formula-tion of the Stokes problem withvarying density. IMA Journal of

Numerical Analysis, 36(2):947–983,April 2016. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/36/2/947.

Caussignac:1988:LCN

[427] Ph. Caussignac and R. Touzani. Lin-ear conforming and nonconforming up-wind finite elements for the convection-diffusion equation. IMA Journal ofNumerical Analysis, 8(1):85–103, 1988.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Cautres:2004:LDD

[428] Rene Cautres, Raphaele Herbin, andFlorence Hubert. The Lions do-main decomposition algorithm onnon-matching cell-centred finite vol-ume meshes. IMA Journal ofNumerical Analysis, 24(3):465–490,July 2004. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_24/Issue_03/240465.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_24/Issue_03/pdf/240465.pdf.

Cazenave:1998:IFD

[429] Thierry Cazenave and Flavio Dick-stein. Implicit finite differenceschemes for a linear model of well-reservoir coupling. IMA Journalof Numerical Analysis, 18(1):91–120,January 1998. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_18/Issue_01/180091.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_18/Issue_01/pdf/180091.pdf.

REFERENCES 95

Celis:2018:PBA

[430] Oliver Salazar Celis. A parametrizedbarycentric approximation for inverseproblems with application to theBlack–Scholes formula. IMA Journalof Numerical Analysis, 38(2):976–997,April 18, 2018. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://academic.oup.com/imajna/article/38/2/976/3836903.

Celledoni:2001:MAM

[431] Elena Celledoni and Arieh Iser-les. Methods for the approxima-tion of the matrix exponential ina Lie-algebraic setting. IMA Jour-nal of Numerical Analysis, 21(2):463–488, April 2001. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_02/210463abs.pdf; http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_02/pdf/210463.pdf.

Cermak:2011:SAP

[432] Jan Cermak. The stability and asymp-totic properties of the Θ-methods forthe pantograph equation. IMA Jour-nal of Numerical Analysis, 31(4):1533–1551, October 2011. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/31/4/1533.full.pdf+html.

Chadha:2011:RGE

[433] Naresh M. Chadha and NataliaKopteva. A robust grid equidistribu-tion method for a one-dimensional sin-gularly perturbed semilinear reaction–diffusion problem. IMA Journal of

Numerical Analysis, 31(1):188–211,January 2011. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/31/1/188.full.pdf+html.

Chainais-Hillairet:2011:FVS

[434] Claire Chainais-Hillairet and JeromeDroniou. Finite-volume schemes fornoncoercive elliptic problems with Neu-mann boundary conditions. IMA Jour-nal of Numerical Analysis, 31(1):61–85, January 2011. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/31/1/61.full.pdf+html.

Chainais-Hillairet:2007:ABF

[435] Claire Chainais-Hillairet and FrancisFilbet. Asymptotic behaviour of afinite-volume scheme for the transientdrift-diffusion model. IMA Journalof Numerical Analysis, 27(4):689–716,October 2007. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/27/4/689; http://imajna.oxfordjournals.org/cgi/reprint/27/4/689.

Chainais-Hillairet:2020:LTB

[436] Claire Chainais-Hillairet and MaximeHerda. Large-time behaviour of afamily of finite volume schemes forboundary-driven convection-diffusionequations. IMA Journal of Numer-ical Analysis, 40(4):2473–2504, Octo-ber 2020. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-

REFERENCES 96

tronic). URL http://academic.oup.com/imajna/article/40/4/2473/5621367.

Chainais-Hillairet:2003:CFV

[437] Claire Chainais-Hillairet and Yue-Jun Peng. Convergence of a finite-volume scheme for the drift-diffusionequations in 1D. IMA Journalof Numerical Analysis, 23(1):81–108,January 2003. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_23/Issue_01/230081.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_23/Issue_01/pdf/230081.pdf.

Chalabi:1992:SUS

[438] A. Chalabi. Stable upwind schemesfor hyperbolic conservation laws withsource terms. IMA Journal of Nu-merical Analysis, 12(2):217–241, 1992.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Challis:1982:NMC

[439] N. V. Challis and D. M. Burley. A nu-merical method for conformal mapping.IMA Journal of Numerical Analysis, 2(2):169–181, April 1982. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Chamberlain:1988:FLL

[440] R. M. Chamberlain and M. J. D. Pow-ell. QR factorization for linear least-squares problems on a hypercube mul-tiprocessor. IMA Journal of NumericalAnalysis, 8(4):401–413, October 1988.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Chan:1991:TPT

[441] Raymond H. Chan. Toeplitz precondi-tioners for Toeplitz systems with non-negative generating functions. IMAJournal of Numerical Analysis, 11(3):333–345, 1991. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic).

Chan:2001:STP

[442] Raymond H. Chan, Michael K. Ng,and Xiao-Qing Jin. Strang-type pre-conditioners for systems of L.M.F.-based O.D.E. codes. IMA Jour-nal of Numerical Analysis, 21(2):451–462, April 2001. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_02/210451.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_02/pdf/210451.pdf.

Chandler:1987:UCG

[443] G. A. Chandler and I. G. Graham. Uni-form convergence of Galerkin solutionsto noncompact integral operator equa-tions. IMA Journal of Numerical Anal-ysis, 7(3):327–334, 1987. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Chandler-Wilde:1993:SUS

[444] S. N. Chandler-Wilde. Some uni-form stability and convergence resultsfor integral equations on the real lineand projection methods for their solu-tion. IMA Journal of Numerical Anal-ysis, 13(4):509–535, 1993. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

REFERENCES 97

Chandler-Wilde:1989:AGT

[445] S. N. Chandler-Wilde and M. J. C.Gover. On the application of a gen-eralization of Toeplitz matrices to thenumerical solution of integral equationswith weakly singular convolution ker-nels. IMA Journal of Numerical Anal-ysis, 9(4):525–544, 1989. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Chang:1996:NPA

[446] Xiao-Wen Chang, Christopher C.Paige, and G. W. Stewart. New per-turbation analyses for the Choleskyfactorization. IMA Journal of Nu-merical Analysis, 16(4):457–484, Oc-tober 1996. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_16/Issue_04/160457.sgm.abs.html.

Chapko:2000:NSH

[447] Roman Chapko, Rainer Kress, andLars Monch. On the numerical so-lution of a hypersingular integralequation for elastic scattering froma planar crack. IMA Journal ofNumerical Analysis, 20(4):601–619,October 2000. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_20/Issue_04/200601.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_20/Issue_04/pdf/200601.pdf.

Chappell:2011:CQG

[448] David J. Chappell. Convolutionquadrature Galerkin boundary ele-ment method for the wave equation

with reduced quadrature weight com-putation. IMA Journal of Numer-ical Analysis, 31(2):640–666, April2011. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://imajna.oxfordjournals.org/content/31/2/640.full.pdf+html.

Charbonneau:2010:WCP

[449] Benoit Charbonneau, Yuriy Svyry-dov, and P. F. Tupper. Weakconvergence in the Prokhorov met-ric of methods for stochastic dif-ferential equations. IMA Journalof Numerical Analysis, 30(2):579–594, April 2010. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/30/2/579; http://imajna.oxfordjournals.org/cgi/reprint/30/2/579.

Chartier:2007:PFI

[450] Philippe Chartier and Ander Mu-rua. Preserving first integrals andvolume forms of additively split sys-tems. IMA Journal of Numeri-cal Analysis, 27(2):381–405, April2007. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/27/2/381; http://imajna.oxfordjournals.org/cgi/reprint/27/2/381.

Chatterjee:2020:CFV

[451] N. Chatterjee and U. S. Fjordholm. Aconvergent finite volume method forthe Kuramoto equation and relatednonlocal conservation laws. IMA Jour-

REFERENCES 98

nal of Numerical Analysis, 40(1):405–421, January 2020. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://academic.oup.com/imajna/article/40/1/405/5162417.

Chau:2018:WBS

[452] Ki Wai Chau and Cornelis W. Oost-erlee. On the wavelet-based SWIFTmethod for backward stochastic dif-ferential equations. IMA Journalof Numerical Analysis, 38(2):1051–1083, April 18, 2018. CODEN IJ-NADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/38/2/1051/3947812.

Chaumont-Frelet:2020:WEC

[453] T. Chaumont-Frelet and S. Nicaise.Wavenumber explicit convergence anal-ysis for finite element discretizationsof general wave propagation problems.IMA Journal of Numerical Analysis, 40(2):1503–1543, April 2020. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/40/2/1503/5487770.

Chavez:2012:DDS

[454] Joseph Paez Chavez. Discretiz-ing dynamical systems with Hopf–Hopf bifurcations. IMA Journal ofNumerical Analysis, 32(1):185–201,January 2012. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/32/1/185.full.pdf+html.

Chawla:1983:NFO

[455] M. M. Chawla. A new fourth-orderfinite-difference method for computingeigenvalues of fourth-order two-pointboundary value problems. IMA Jour-nal of Numerical Analysis, 3(3):291–293, 1983. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic).

Chawla:1984:FDM

[456] M. M. Chawla and C. P. Katti. A finite-difference method for a class of singu-lar two-point boundary value problems.IMA Journal of Numerical Analysis, 4(4):457–466, October 1984. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic).

Chawla:1985:HAS

[457] M. M. Chawla and P. S. Rao. High-accuracy P -stable methods for y′′ =f(t, y). IMA Journal of NumericalAnalysis, 5(2):215–220, 1985. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). See corrigen-dum [458].

Chawla:1986:CHA

[458] M. M. Chawla and P. S. Rao. Corrigen-dum: “High-accuracy P -stable meth-ods for y′′ = f(t, y)” [IMA J. Numer.Anal. 5 (1985), no. 2, 215–220; MR87c:65078]”. IMA Journal of NumericalAnalysis, 6(2):252, 1986. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). See [457].

Chegini:2012:ATP

[459] Nabi Chegini and Rob Stevenson.The adaptive tensor product waveletscheme: sparse matrices and the

REFERENCES 99

application to singularly perturbedproblems. IMA Journal of Nu-merical Analysis, 32(1):75–104, Jan-uary 2012. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/32/1/75.full.pdf+html.

Chen:2012:MCA

[460] Caihua Chen, Bingsheng He, andXiaoming Yuan. Matrix comple-tion via an alternating directionmethod. IMA Journal of Numer-ical Analysis, 32(1):227–245, Jan-uary 2012. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/32/1/227.full.pdf+html.

Chen:1989:EEO

[461] Chuan Miao Chen, Stig Larsson, andNai Ying Zhang. Error estimates of op-timal order for finite element methodswith interpolated coefficients for thenonlinear heat equation. IMA Journalof Numerical Analysis, 9(4):507–524,1989. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Chen:2017:MSC

[462] Chuchu Chen, Jialin Hong, and Li-hai Ji. Mean-square convergenceof a symplectic local discontinuousGalerkin method applied to stochas-tic linear Schrodinger equation. IMAJournal of Numerical Analysis, 37(2):1041–1065, April 2017. CO-DEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic). URLhttps://academic.oup.com/imajna/article/37/2/1041/2669981/Mean-

square-convergence-of-a-symplectic-local.

Chen:2020:EEH

[463] Gang Chen and Jintao Cui. Onthe error estimates of a hybridiz-able discontinuous Galerkin methodfor second-order elliptic problem withdiscontinuous coefficients. IMA Jour-nal of Numerical Analysis, 40(2):1577–1600, April 2020. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/40/2/1577/5305590.

Chen:2017:LFE

[464] Hongtao Chen, Hailong Guo, ZhiminZhang, and Qingsong Zou. A C0

linear finite element method for twofourth-order eigenvalue problems. IMAJournal of Numerical Analysis, 37(4):2120–2138, October 1, 2017. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL https://academic.oup.com/imajna/article/37/4/2120/2422320.

Chen:2016:RPE

[465] Huangxin Chen, Jingzhi Li, andWeifeng Qiu. Robust a pos-teriori error estimates for HDGmethod for convection–diffusion equa-tions. IMA Journal of Numer-ical Analysis, 36(1):437–462, Jan-uary 2016. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/36/1/437.

Chen:2011:NSC

[466] Jinhai Chen and Matthias Gerdts.Numerical solution of control-state

REFERENCES 100

constrained optimal control problemswith an inexact smoothing Newtonmethod. IMA Journal of Numer-ical Analysis, 31(4):1598–1624, Oc-tober 2011. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/31/4/1598.full.pdf+html.

Chen:2004:AIQ

[467] Journal Shaochun Chen, DongyangShi, and Yongcheng Zhao. Anisotropicinterpolation and quasi-Wilson elementfor narrow quadrilateral meshes. IMAJournal of Numerical Analysis, 24(1):77–95, January 2004. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_24/Issue_01/240077.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_24/Issue_01/pdf/240077.pdf.

Chen:1993:NAB

[468] Ke Chen and S. Amini. Numerical anal-ysis of boundary integral solution of theHelmholtz equation in domains withnonsmooth boundaries. IMA Jour-nal of Numerical Analysis, 13(1):43–66,1993. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Chen:2006:TLS

[469] Ke Chen and Martyn D. Hughes.A two-level sparse approximate in-verse preconditioner for unsymmet-ric matrices. IMA Journal of Nu-merical Analysis, 26(1):11–24, Jan-uary 2006. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imanum.oxfordjournals.org/cgi/content/

abstract/26/1/11; http://imanum.oxfordjournals.org/cgi/reprint/26/1/11.

Chen:2004:SUM

[470] Mayru Chen and Ming-Chia Li.Stability of uniformly Morse–Smalegradient-like numerical methods forflows. IMA Journal of Numeri-cal Analysis, 24(4):577–585, October2004. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).URL http://imanum.oupjournals.org/cgi/content/abstract/24/4/577;http://imanum.oupjournals.org/


Chen:2016:WGM

[471] Wenbin Chen, Fang Wang, and YanqiuWang. Weak Galerkin method for thecoupled Darcy–Stokes flow. IMA Jour-nal of Numerical Analysis, 36(2):897–921, April 2016. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/36/2/897.

Chen:2012:CEB

[472] Xiaojun Chen and Zhengyu Wang.Computational error bounds for adifferential linear variational inequal-ity. IMA Journal of Numeri-cal Analysis, 32(3):957–982, July2012. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://imajna.oxfordjournals.org/content/32/3/957.full.pdf+html.

Chen:2012:AVD

[473] Yanlai Chen and Bernardo Cock-burn. Analysis of variable-degree

REFERENCES 101

Hdg methods for convection-diffusionequations. Part I: general noncon-forming meshes. IMA Journal ofNumerical Analysis, 32(4):1267–1293,October 2012. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/32/4/1267.full.pdf+html.

Chen:2016:NDG

[474] Yanlai Chen, Bernardo Cockburn,and Bo Dong. A new discontin-uous Galerkin method, conservingthe discrete H2-norm, for third-orderlinear equations in one space di-mension. IMA Journal of Numer-ical Analysis, 36(4):1570–1598, Oc-tober 2016. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/36/4/1570.

Chen:2014:AMM

[475] Yung-Wei Chen, Chun-Ming Chang,Chein-Shan Liu, and Jiang-Ren Chang.Application of a modified manifold-based exponentially convergent al-gorithm to solve elliptic boundary-value problems. IMA Journal ofNumerical Analysis, 34(1):362–389,January 2014. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/34/1/362.full.pdf+html.

Chen:1994:EEF

[476] Zhi Ming Chen and K.-H. Hoffmann.An error estimate for a finite-elementscheme for a phase field model. IMAJournal of Numerical Analysis, 14(2):

243–255, 1994. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic).

Chen:2000:NMS

[477] Zhiming Chen, Tsimin Shih, andXingye Yue. Numerical methods forStefan problems with prescribed con-vection and nonlinear flux. IMAJournal of Numerical Analysis, 20(1):81–98, January 2000. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_20/Issue_01/200081.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_20/Issue_01/pdf/200081.pdf.

Cheng:2009:DFN

[478] Wanyou Cheng and Dong-Hui Li.A derivative-free nonmonotone linesearch and its application to the spec-tral residual method. IMA Jour-nal of Numerical Analysis, 29(3):814–825, July 2009. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/29/3/814; http://imajna.oxfordjournals.org/cgi/reprint/29/3/814.

Chernih:2014:MMC

[479] A. Chernih and Q. T. Le Gia.Multiscale methods with compactlysupported radial basis functions forGalerkin approximation of ellipticPDEs. IMA Journal of Numer-ical Analysis, 34(2):569–591, April2014. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://imajna.

REFERENCES 102


Chernov:2019:HVE

[480] Alexey Chernov and Lorenzo Mas-cotto. The harmonic virtual elementmethod: stabilization and exponen-tial convergence for the Laplace prob-lem on polygonal domains. IMAJournal of Numerical Analysis, 39(4):1787–1817, October 2019. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/39/4/1787/5038894.

Cheung:2001:FEA

[481] C. W. Cheung and C.-H. Lai. On aflexible elimination algorithm with ap-plications to panel element equations.IMA Journal of Numerical Analysis, 21(2):603–619, April 2001. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_02/210603.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_02/pdf/210603.pdf.

Cheung:2015:SAC

[482] Dennis Cheung and Felipe Cucker.Smoothed analysis of component-wise condition numbers for sparsematrices. IMA Journal of Nu-merical Analysis, 35(1):74–88, Jan-uary 2015. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/35/1/74.

Chiang:1994:POS

[483] Yi-Ling F. Chiang. Properties of opti-mal schemes for linear 1D PDE initial

value hyperbolic problems with vari-able coefficients. IMA Journal of Nu-merical Analysis, 14(2):211–232, 1994.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Chien:1997:DGM

[484] David Da-Kwun Chien and KendallAtkinson. A discrete Galerkinmethod for a hypersingular bound-ary integral equation. IMA Jour-nal of Numerical Analysis, 17(3):463–478, July 1997. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_17/Issue_03/170463.sgm.abs.html.

Chin:2011:MPO

[485] Siu A. Chin and Jurgen Geiser. Multi-product operator splitting as a gen-eral method of solving autonomous andnonautonomous equations. IMA Jour-nal of Numerical Analysis, 31(4):1552–1577, October 2011. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/31/4/1552.full.pdf+html.

Cho:2020:BPI

[486] Durkbin Cho and Rafael Vazquez.BPX preconditioners for isogeomet-ric analysis using analysis-suitable T-splines. IMA Journal of NumericalAnalysis, 40(1):764–799, January 2020.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic). URLhttp://academic.oup.com/imajna/article/40/1/764/5036562.

REFERENCES 103

Choquet:2011:AFV

[487] Catherine Choquet and Sebastien Zim-mermann. Analysis of a finite-volume–finite-element scheme for a nu-clear transport model. IMA Jour-nal of Numerical Analysis, 31(1):86–115, January 2011. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/31/1/86.full.pdf+html.

Chouly:2018:RBP

[488] Franz Chouly, Mathieu Fabre, PatrickHild, Jerome Pousin, and Yves Re-nard. Residual-based a posteriori er-ror estimation for contact problems ap-proximated by Nitsche’s method. IMAJournal of Numerical Analysis, 38(2):921–954, April 18, 2018. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/38/2/921/3871418.

Christiansen:2011:DMK

[489] Snorre H. Christiansen and Tore Gun-nar Halvorsen. Discretizing theMaxwell–Klein–Gordon equation bythe lattice gauge theory formal-ism. IMA Journal of Numeri-cal Analysis, 31(1):1–24, January2011. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://imajna.oxfordjournals.org/content/31/1/1.full.pdf+html.

Christiansen:2013:VEA

[490] Snorre H. Christiansen and Rag-nar Winther. On variational eigen-value approximation of semidefinite

operators. IMA Journal of Nu-merical Analysis, 33(1):164–189, Jan-uary 2013. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/33/1/164.full.pdf+html.

Christianson:1992:AHR

[491] Bruce Christianson. Automatic Hes-sians by reverse accumulation. IMAJournal of Numerical Analysis, 12(2):135–150, 1992. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic).

Christie:1981:PAN

[492] I. Christie, D. F. Griffiths, A. R.Mitchell, and J. M. Sanz-Serna. Prod-uct approximation for nonlinear prob-lems in the finite element method.IMA Journal of Numerical Analysis,1(3):253–266, 1981. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Christie:1991:ERS

[493] I. Christie and C. Palencia. An ex-act Riemann solver for a fluidizedbed model. IMA Journal of Nu-merical Analysis, 11(4):493–508, 1991.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Chu:1990:SAI

[494] Moody T. Chu. Solving additive in-verse eigenvalue problems for symmet-ric matrices by the homotopy method.IMA Journal of Numerical Analysis,10(3):331–342, 1990. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

REFERENCES 104

Chu:2015:FRF

[495] Moody T. Chu and Matthew M.Lin. On the finite rank andfinite-dimensional representation ofbounded semi-infinite Hankel oper-ators. IMA Journal of Numeri-cal Analysis, 35(3):1256–1276, July2015. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://imajna.oxfordjournals.org/content/35/3/1256.

Chu:1995:ETP

[496] Moody T. Chu and Joel W. Wright.The educational testing problem revis-ited. IMA Journal of Numerical Anal-ysis, 15(1):141–160, 1995. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Chu:2018:HDF

[497] Van Tiep Chu and Viet Ha Hoang.High-dimensional finite elements formultiscale Maxwell-type equations.IMA Journal of Numerical Analy-sis, 38(1):227–270, January 25, 2018.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic). URLhttp://academic.oup.com/imajna/article/38/1/227/3063754.

Chung:2012:SDG

[498] Eric T. Chung and Chak ShingLee. A staggered discontinuousGalerkin method for the curl-curl op-erator. IMA Journal of Numeri-cal Analysis, 32(3):1241–1265, July2012. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://imajna.oxfordjournals.org/content/32/3/1241.full.pdf+html.

Cifani:2011:DGM

[499] Simone Cifani, Espen R. Jakobsen,and Kenneth H. Karlsen. The dis-continuous Galerkin method for frac-tal conservation laws. IMA Jour-nal of Numerical Analysis, 31(3):1090–1122, July 2011. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/31/3/1090.full.pdf+html.

Cimrak:2005:EES

[500] Ivan Cimrak. Error estimates for asemi-implicit numerical scheme solv-ing the Landau–Lifshitz equation withan exchange field. IMA Journalof Numerical Analysis, 25(3):611–634, July 2005. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imanum.oxfordjournals.org/cgi/content/abstract/25/3/611; http://imanum.oxfordjournals.org/cgi/reprint/25/3/611.

Clark:1988:LRI

[501] D. I. Clark and M. R. Osborne. On lin-ear restricted and interval least-squaresproblems. IMA Journal of NumericalAnalysis, 8(1):23–36, 1988. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Clavero:2006:UCA

[502] C. Clavero, J. L. Gracia, andJ. C. Jorge. A uniformly conver-gent alternating direction HODIE fi-nite difference scheme for 2D time-dependent convection–diffusion prob-lems. IMA Journal of Numer-ical Analysis, 26(1):155–172, Jan-uary 2006. CODEN IJNADH.

REFERENCES 105

ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imanum.oxfordjournals.org/cgi/content/abstract/26/1/155; http://imanum.oxfordjournals.org/cgi/reprint/26/1/155.

Clavero:2000:ADS

[503] C. Clavero, J. C. Jorge, F. Lisbona, andG. I. Shishkin. An alternating direc-tion scheme on a nonuniform mesh forreaction-diffusion parabolic problems.IMA Journal of Numerical Analysis, 20(2):263–280, April 2000. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_20/Issue_02/200263.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_20/Issue_02/pdf/200263.pdf.

Clenshaw:1988:SLI

[504] C. W. Clenshaw and P. R. Turner. Thesymmetric level-index system. IMAJournal of Numerical Analysis, 8(4):517–526, October 1988. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Cockburn:2014:MHM

[505] B. Cockburn, O. Dubois, J. Gopalakr-ishnan, and S. Tan. Multigrid foran HDG method. IMA Journal ofNumerical Analysis, 34(4):1386–1425,October 2014. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/34/4/1386.

Cockburn:2018:DSH

[506] Bernardo Cockburn and GuoshengFu. Devising superconvergent HDG

methods with symmetric approximatestresses for linear elasticity by M -decompositions. IMA Journal of Nu-merical Analysis, 38(2):566–604, April18, 2018. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://academic.oup.com/imajna/article/38/2/566/3861276.

Cockburn:2017:NDS

[507] Bernardo Cockburn, Guosheng Fu, andWeifeng Qiu. A note on the devis-ing of superconvergent HDG methodsfor Stokes flow by M -decompositions.IMA Journal of Numerical Analysis,37(2):730–749, April 2017. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL https://academic.oup.com/imajna/article/37/2/730/2669997/A-note-on-the-devising-of-superconvergent-HDG.

Cockburn:2012:DSC

[508] Bernardo Cockburn and Francisco-Javier Sayas. The devising of symmet-ric couplings of boundary element anddiscontinuous Galerkin methods. IMAJournal of Numerical Analysis, 32(3):765–794, July 2012. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/32/3/765.full.pdf+html.

Coclite:2008:NSC

[509] G. M. Coclite, K. H. Karlsen, andN. H. Risebro. Numerical schemesfor computing discontinuous solu-tions of the Degasperis–Procesi equa-tion. IMA Journal of Numeri-cal Analysis, 28(1):80–105, January2008. CODEN IJNADH. ISSN

REFERENCES 106


Cocozza-Thivent:2006:FVS

[510] C. Cocozza-Thivent, R. Eymard, andS. Mercier. A finite-volume schemefor dynamic reliability models. IMAJournal of Numerical Analysis, 26(3):446–471, July 2006. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://comjnl.oxfordjournals.org/cgi/content/abstract/26/3/446; http://comjnl.oxfordjournals.org/cgi/reprint/26/3/446.

Cocozza-Thivent:2017:NMP

[511] Christiane Cocozza-Thivent, RobertEymard, Ludovic Goudenege, andMichel Roussignol. Numerical meth-ods for piecewise deterministic Markovprocesses with boundary. IMA Journalof Numerical Analysis, 37(1):170–208,January 1, 2017. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL https://academic.oup.com/imajna/article/37/1/170/2884282/Numerical-methods-for-piecewise-deterministic.

Codenotti:1989:NQI

[512] B. Codenotti and F. Romani. Anote on quadrant interlocking factor-ization. IMA Journal of NumericalAnalysis, 9(2):139–143, 1989. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic).

Cohen:2016:KWU

[513] Albert Cohen and Ronald DeVore.Kolmogorov widths under holomor-phic mappings. IMA Journal ofNumerical Analysis, 36(1):1–12, Jan-uary 2016. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/36/1/1.

Cohen:2006:CPN

[514] David Cohen. Conservation prop-erties of numerical integrators forhighly oscillatory Hamiltonian sys-tems. IMA Journal of Numeri-cal Analysis, 26(1):34–59, January2006. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://imanum.oxfordjournals.org/cgi/content/abstract/26/1/34; http://imanum.oxfordjournals.org/cgi/reprint/26/1/34.

Cohen:2016:FDA

[515] David Cohen and Lluıs Quer-Sardanyons.A fully discrete approximation ofthe one-dimensional stochastic waveequation. IMA Journal of Numer-ical Analysis, 36(1):400–420, Jan-uary 2016. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/36/1/400.

Colbrook:2020:EUT

[516] Matthew J. Colbrook. Extending theunified transform: curvilinear poly-gons and variable coefficient PDEs.IMA Journal of Numerical Analysis,40(2):976–1004, April 2020. CODEN

REFERENCES 107

IJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/40/2/976/5210368.

Coleman:1989:ENM

[517] John P. Coleman. Errata for: “Nu-merical methods for y′′ = f(x, y) viarational approximations for the cosine”[IMA J. Numer. Anal. 9 (1989), no. 2,145–165; MR 90i:65130]. IMA Jour-nal of Numerical Analysis, 9(4):i, 1989.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic). See[518].

Coleman:1989:NMR

[518] John P. Coleman. Numerical methodsfor y′′ = f(x, y) via rational approxi-mations for the cosine. IMA Journalof Numerical Analysis, 9(2):145–165,1989. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).See errata [517].

Coleman:2003:OCC

[519] John P. Coleman. Order condi-tions for a class of two-step meth-ods for y′ = f(x, y). IMA Jour-nal of Numerical Analysis, 23(2):197–220, April 2003. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_23/Issue_02/230197.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_23/Issue_02/pdf/230197.pdf.

Coleman:1996:SEF

[520] John P. Coleman and Liviu Gr.Ixaru. P -stability and exponential-fitting methods for y′ = f(x, y). IMAJournal of Numerical Analysis, 16(2):

179–199, April 1996. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_16/Issue_02/160179.sgm.abs.html.

Colombini:2015:NAV

[521] F. Colombini and J. Rauch. Numericalanalysis of very weakly well-posed hy-perbolic Cauchy problems. IMA Jour-nal of Numerical Analysis, 35(3):989–1010, July 2015. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/35/3/989.

Congreve:2013:DGF

[522] Scott Congreve, Paul Houston, EndreSuli, and Thomas P. Wihler. Discon-tinuous Galerkin finite element approx-imation of quasilinear elliptic bound-ary value problems II: strongly mono-tone quasi-Newtonian flows. IMA Jour-nal of Numerical Analysis, 33(4):1386–1415, October 2013. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/33/4/1386.full.pdf+html.

Conn:2008:GSS

[523] Andrew R. Conn, Katya Scheinberg,and Luıs N. Vicente. Geometry ofsample sets in derivative-free opti-mization: polynomial regression andunderdetermined interpolation. IMAJournal of Numerical Analysis, 28(4):721–748, October 2008. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/28/4/721.

REFERENCES 108

Coope:1993:CIN

[524] Ian D. Coope. Curve interpolation withnonlinear spiral splines. IMA Journalof Numerical Analysis, 13(3):327–341,1993. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Cooper:1984:GAS

[525] G. J. Cooper. A generalization ofalgebraic stability for Runge–Kuttamethods. IMA Journal of NumericalAnalysis, 4(4):427–440, October 1984.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Cooper:1986:ESA

[526] G. J. Cooper. On the existence of so-lutions for algebraically stable Runge–Kutta methods. IMA Journal of Nu-merical Analysis, 6(3):325–330, 1986.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Cooper:1987:SRK

[527] G. J. Cooper. Stability of Runge–Kutta methods for trajectory prob-lems. IMA Journal of Numerical Anal-ysis, 7(1):1–13, 1987. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Cooper:1992:WNS

[528] G. J. Cooper. Weak nonlinear sta-bility of implicit Runge–Kutta meth-ods. IMA Journal of Numerical Anal-ysis, 12(1):57–65, 1992. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Cooper:1983:ISI

[529] G. J. Cooper and J. C. Butcher. Aniteration scheme for implicit Runge–

Kutta methods. IMA Journal of Nu-merical Analysis, 3(2):127–140, 1983.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Coquel:2012:CTS

[530] Frederic Coquel, Marie Postel, andQuang-Huy Tran. Convergence of time-space adaptive algorithms for nonlin-ear conservation laws. IMA Jour-nal of Numerical Analysis, 32(4):1440–1483, October 2012. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/32/4/1440.full.pdf+html.

Coquereaux:1990:IMC

[531] R. Coquereaux, A. Grossmann, andB. E. Lautrup. Iterative method forcalculation of the Weierstrass ellipticfunction. IMA Journal of NumericalAnalysis, 10(1):119–128, January 1990.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Coughlan:2007:TLM

[532] James J. Coughlan, Adrian T. Hill,and Hartmut Logemann. The Z-transform and linear multistep sta-bility. IMA Journal of Numeri-cal Analysis, 27(1):45–73, January2007. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/27/1/45; http://imajna.oxfordjournals.org/cgi/reprint/27/1/45.

Courtes:2020:EEF

[533] Clementine Courtes, Frederic Lagoutiere,and Frederic Rousset. Error esti-

REFERENCES 109

mates of finite difference schemes forthe Korteweg–de Vries equation. IMAJournal of Numerical Analysis, 40(1):628–685, January 2020. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/40/1/628/5228663.

Cox:1981:LSS

[534] M. G. Cox. The least squares so-lution of overdetermined linear equa-tions having band or augmented bandstructure. IMA Journal of NumericalAnalysis, 1(1):3–22, 1981. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Cox:1982:DVI

[535] M. G. Cox. Direct versus itera-tive methods of solution for multi-variate spline-fitting problems. IMAJournal of Numerical Analysis, 2(1):73–81, January 1982. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Cox:1991:ACB

[536] M. G. Cox and P. M. Harris. Theapproximation of a composite Beziercubic curve by a composite Bezierquadratic curve. IMA Journal of Nu-merical Analysis, 11(2):159–180, 1991.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Cox:1985:LSS

[537] M. G. Cox and P. E. Manneback.Least-squares spline regression withblock-diagonal variance matrices. IMAJournal of Numerical Analysis, 5(3):275–286, 1985. CODEN IJNADH.

ISSN 0272-4979 (print), 1464-3642(electronic).

Cox:1989:ALS

[538] Maurice G. Cox and Helen M. Jones.An algorithm for least-squares circlefitting to data with specified uncer-tainty ellipses. IMA Journal of Nu-merical Analysis, 9(3):285–298, 1989.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Cox:2021:CHN

[539] Sonja Cox, Martin Hutzenthaler, Ar-nulf Jentzen, Jan van Neerven, andTimo Welti. Convergence in Holdernorms with applications to MonteCarlo methods in infinite dimensions.IMA Journal of Numerical Analysis, 41(1):493–548, January 2021. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/41/1/493/5831480.

Cozma:2020:SOC

[540] Andrei Cozma and Christoph Reisinger.Strong order 1/2 convergence of fulltruncation Euler approximations tothe Cox–Ingersoll–Ross process. IMAJournal of Numerical Analysis, 40(1):358–376, January 2020. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/40/1/358/5146428.

Creuse:2013:PEE

[541] Emmanuel Creuse and Serge Nicaise.A posteriori error estimator basedon gradient recovery by averagingfor convection-diffusion-reaction prob-lems approximated by discontinuous

REFERENCES 110

Galerkin methods. IMA Journal ofNumerical Analysis, 33(1):212–241,January 2013. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/33/1/212.full.pdf+html.

Creuse:2017:GEE

[542] Emmanuel Creuse, Serge Nicaise, andRoberta Tittarelli. A guaranteed equi-librated error estimator for the A −ϕ and T − Ω magnetodynamic har-monic formulations of the Maxwellsystem. IMA Journal of Numer-ical Analysis, 37(2):750–773, April2017. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).URL https://academic.oup.com/imajna/article/37/2/750/2669988/A-guaranteed-equilibrated-error-estimator-for-the.

Criscuolo:2014:NEC

[543] G. Criscuolo. Numerical evalua-tion of certain strongly singular in-tegrals. IMA Journal of Numer-ical Analysis, 34(2):651–674, April2014. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://imajna.oxfordjournals.org/content/34/2/651.full.pdf+html.

Crowdy:2016:HBS

[544] D. G. Crowdy, S. Tanveer, andT. Delillo. Hybrid basis scheme forcomputing electrostatic fields exteriorto close-to-touching discs. IMA Jour-nal of Numerical Analysis, 36(2):743–769, April 2016. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.

oxfordjournals.org/content/36/2/743.

Cubillos:1987:EPF

[545] Pedro O. Cubillos. Eigenvalue prob-lems for Fredholm integral operators.IMA Journal of Numerical Analysis,7(2):191–204, 1987. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Cui:2014:AHM

[546] Jintao Cui and Wujun Zhang. Ananalysis of HDG methods for theHelmholtz equation. IMA Journalof Numerical Analysis, 34(1):279–295,January 2014. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/34/1/279.full.pdf+html.

Cullinan:1990:DSU

[547] M. P. Cullinan. Data smoothing us-ing nonnegative divided differences andl2 approximation. IMA Journal of Nu-merical Analysis, 10(4):583–608, 1990.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Cuminato:1992:UCC

[548] J. A. Cuminato. Uniform convergenceof a collocation method for the nu-merical solution of Cauchy-type sin-gular integral equations: a generaliza-tion. IMA Journal of Numerical Anal-ysis, 12(1):31–45, 1992. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Curtis:1981:PST

[549] A. R. Curtis. On a property of sometest equations for finite difference or fi-

REFERENCES 111

nite element methods. IMA Journalof Numerical Analysis, 1(3):369–375,1981. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Curtis:1983:JMP

[550] A. R. Curtis. Jacobian matrix proper-ties and their impact on choice of soft-ware for stiff ODE systems. IMA Jour-nal of Numerical Analysis, 3(4):397–415, 1983. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic).

Curtis:1986:ACA

[551] A. R. Curtis. Analysis of covari-ance after nonlinear least-squares fit-ting. IMA Journal of Numerical Anal-ysis, 6(4):453–461, 1986. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Curtis:2016:HNC

[552] Frank E. Curtis and Wei Guo.Handling nonpositive curvature ina limited memory steepest descentmethod. IMA Journal of Numer-ical Analysis, 36(2):717–742, April2016. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://imajna.oxfordjournals.org/content/36/2/717.

Curtis:2018:LCL

[553] Frank E. Curtis and Wei Guo. R-linear convergence of limited mem-ory steepest descent. IMA Journalof Numerical Analysis, 38(2):720–742,April 18, 2018. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://academic.oup.com/imajna/article/38/2/720/3749201.

Curtis:2008:FPF

[554] Frank E. Curtis and Jorge Nocedal.Flexible penalty functions for nonlin-ear constrained optimization. IMAJournal of Numerical Analysis, 28(4):749–769, October 2008. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/28/4/749.

Curtis:2019:IRN

[555] Frank E. Curtis, Daniel P. Robinson,and Mohammadreza Samadi. An inex-act regularized Newton framework witha worst-case iteration complexity ofO(ε−3/2) for nonconvex optimization.IMA Journal of Numerical Analysis,39(3):1296–1327, July 2019. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/39/3/1296/4992683.

Curtis:2020:SCV

[556] Frank E. Curtis, Daniel P. Robinson,and Baoyu Zhou. A self-correctingvariable-metric algorithm frameworkfor nonsmooth optimization. IMAJournal of Numerical Analysis, 40(2):1154–1187, April 2020. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/40/2/1154/5369122.

Custodio:2008:USG

[557] A. L. Custodio, J. E. Dennis, Jr.,and L. N. Vicente. Using simplexgradients of nonsmooth functions indirect search methods. IMA Jour-nal of Numerical Analysis, 28(4):770–784, October 2008. CODEN IJNADH.

REFERENCES 112

ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/28/4/770.

Cuyt:1988:EBC

[558] Annie Cuyt and Brigitte Verdonk.Evaluation of branched continued frac-tions using block-tridiagonal linear sys-tems. IMA Journal of Numerical Anal-ysis, 8(2):209–217, 1988. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Czepiel:2015:NSV

[559] Jerzy Czepiel and Piotr Kalita. Nu-merical solution of a variational-hemivariational inequality modellingsimplified adhesion of an elasticbody. IMA Journal of Numer-ical Analysis, 35(1):372–393, Jan-uary 2015. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/35/1/372.

Czuprynski:2019:NAE

[560] Kenneth Czuprynski, Joseph Eich-holz, and Weimin Han. Numeri-cal analysis of the energy-dependentradiative transfer equation. IMAJournal of Numerical Analysis, 39(3):1529–1562, July 2019. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/39/3/1529/5003205.

Da:2002:UBT

[561] Xu Da. Uniform l behaviour fortime discretization of a Volterra equa-tion with completely monotonic ker-nel: I. stability. IMA Journal of

Numerical Analysis, 22(1):133–151,January 2002. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_22/Issue_01/220133.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_22/Issue_01/pdf/220133.pdf.

daVeiga:2011:UAH

[562] Beirao da Veiga, Jerome Droniou,and Gianmarco Manzini. A uni-fied approach for handling convec-tion terms in finite volumes andmimetic discretization methods forelliptic problems. IMA Journal ofNumerical Analysis, 31(4):1357–1401,October 2011. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/31/4/1357.full.pdf+html.

daVeiga:2014:VEM

[563] Lourenco Beirao da Veiga and Gi-anmarco Manzini. A virtual el-ement method with arbitrary reg-ularity. IMA Journal of Numer-ical Analysis, 34(2):759–781, April2014. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://imajna.oxfordjournals.org/content/34/2/759.full.pdf+html.

Dahlke:2007:AFM

[564] Stephan Dahlke, Thorsten Raasch,Manuel Werner, Massimo Fornasier,and Rob Stevenson. Adaptive framemethods for elliptic operator equa-tions: the steepest descent ap-proach. IMA Journal of Numer-ical Analysis, 27(4):717–740, Oc-

REFERENCES 113

tober 2007. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/27/4/717; http://imajna.oxfordjournals.org/cgi/reprint/27/4/717.

Dahmardah:1983:FSS

[565] H. O. Dahmardah and D. F. May-ers. A Fourier-series solution of theCrank-Gupta equation. IMA Jour-nal of Numerical Analysis, 3(1):81–85,1983. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Dai:2015:CQO

[566] Xiaoying Dai, Lianhua He, and Ai-hui Zhou. Convergence and quasi-optimal complexity of adaptive fi-nite element computations for mul-tiple eigenvalues. IMA Journal ofNumerical Analysis, 35(4):1934–1977,October 2015. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/35/4/1934.

Dai:1996:CPF

[567] Y. H. Dai and Y. Yuan. Con-vergence properties of the Fletcher–Reeves method. IMA Journal ofNumerical Analysis, 16(2):155–164,April 1996. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_16/Issue_02/160155.sgm.abs.html.

Dai:2006:CBB

[568] Yu-Hong Dai, William W. Hager,Klaus Schittkowski, and Hongchao

Zhang. The cyclic Barzilai–Borweinmethod for unconstrained optimiza-tion. IMA Journal of Numer-ical Analysis, 26(3):604–627, July2006. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://comjnl.oxfordjournals.org/cgi/content/abstract/26/3/604; http://comjnl.oxfordjournals.org/cgi/reprint/26/3/604.

Dai:2002:RLC

[569] Yu-Hong Dai and Li-Zhi Liao. R-linear convergence of the Barzilaiand Borwein gradient method. IMAJournal of Numerical Analysis, 22(1):1–10, January 2002. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_22/Issue_01/220001.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_22/Issue_01/pdf/220001.pdf.

Dai:2003:AMG

[570] Yu-Hong Dai and Ya-Xiang Yuan. Al-ternate minimization gradient method.IMA Journal of Numerical Analysis, 23(3):377–393, July 2003. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_23/Issue_03/drg007.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_23/Issue_03/pdf/drg007.pdf.

Dallmann:2016:LPS

[571] Helene Dallmann, Daniel Arndt, andGert Lube. Local projection stabiliza-tion for the Oseen problem. IMA Jour-nal of Numerical Analysis, 36(2):796–823, April 2016. CODEN IJNADH.

REFERENCES 114


Dardalhon:2013:APM

[572] F. Dardalhon, J.-C. Latche, andS. Minjeaud. Analysis of a projec-tion method for low-order noncon-forming finite elements. IMA Jour-nal of Numerical Analysis, 33(1):295–317, January 2013. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/33/1/295.full.pdf+html.

Das:1989:PEE

[573] P. C. Das and A. K. Pani. A priori er-ror estimates in H1 and H2 norms forGalerkin approximations to a single-phase nonlinear Stefan problem in onespace dimension. IMA Journal of Nu-merical Analysis, 9(2):213–229, 1989.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Dauner:1989:ATA

[574] Herbert Dauner and Christian H. Rein-sch. An analysis of two algorithmsfor shape-preserving cubic spline inter-polation. IMA Journal of NumericalAnalysis, 9(3):299–314, 1989. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic).

Davies:2004:SP

[575] E. B. Davies and M. Plum. Spec-tral pollution. IMA Journal ofNumerical Analysis, 24(3):417–438,July 2004. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://www3.


Davis:2020:NLP

[576] Damek Davis, Dmitriy Drusvyatskiy,and Courtney Paquette. The non-smooth landscape of phase retrieval.IMA Journal of Numerical Analysis, 40(4):2652–2695, October 2020. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/40/4/2652/5684995.

Davydov:2019:OSS

[577] Oleg Davydov and Robert Schaback.Optimal stencils in Sobolev spaces.IMA Journal of Numerical Analy-sis, 39(1):398–422, January 25, 2019.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic). URLhttp://academic.oup.com/imajna/article/39/1/398/4781306.

Davydov:2008:ISD

[578] Oleg Davydov and Larry L. Schu-maker. Interpolation and scattereddata fitting on manifolds using pro-jected Powell–Sabin splines. IMAJournal of Numerical Analysis, 28(4):785–805, October 2008. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/28/4/785.

Dawson:1982:FAR

[579] Jeremy E. Dawson. A formula ap-proximating the root of a function.IMA Journal of Numerical Analysis, 2(3):371–375, July 1982. CODEN IJ-

REFERENCES 115

NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Dax:1986:EAS

[580] Achiya Dax. An efficient algorithm forsolving the rectilinear multifacility lo-cation problem. IMA Journal of Nu-merical Analysis, 6(3):343–355, 1986.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Dax:1989:MSL

[581] Achiya Dax. The minimax solution oflinear equations subject to linear con-straints. IMA Journal of NumericalAnalysis, 9(1):95–109, 1989. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic).

DeAsmundis:2013:SPS

[582] Roberta De Asmundis, Daniela di Ser-afino, Filippo Riccio, and GerardoToraldo. On spectral properties ofsteepest descent methods. IMA Jour-nal of Numerical Analysis, 33(4):1416–1435, October 2013. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/33/4/1416.full.pdf+html.

DeBonis:2009:NMS

[583] M. C. De Bonis and G. Mastroianni.Nystrom method for systems of integralequations on the real semiaxis. IMAJournal of Numerical Analysis, 29(3):632–650, July 2009. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/29/3/632; http://imajna.oxfordjournals.org/cgi/reprint/29/3/632.

deDios:2017:ASP

[584] Blanca Ayuso de Dios, Ralf Hipt-mair, and Cecilia Pagliantini. Aux-iliary space preconditioners for SIP-DG discretizations of H(curl)-ellipticproblems with discontinuous coeffi-cients. IMA Journal of Numer-ical Analysis, 37(2):646–686, April2017. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).URL https://academic.oup.com/imajna/article/37/2/646/2669962/Auxiliary-space-preconditioners-for-SIP-DG.

deFrutos:2019:EAN

[585] Javier de Frutos, Bosco Garcıa-Archilla, Volker John, and Julia Novo.Error analysis of non inf–sup stablediscretizations of the time-dependentNavier–Stokes equations with localprojection stabilization. IMA Jour-nal of Numerical Analysis, 39(4):1747–1786, October 2019. CODEN IJ-NADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/39/4/1747/5055331.

DeFrutos:2010:AAT

[586] Javier De Frutos, Bosco Garcıa-Archilla, and Julia Novo. Accu-rate approximations to time-dependentnonlinear convection–diffusion prob-lems. IMA Journal of Numeri-cal Analysis, 30(4):1137–1158, Oc-tober 2010. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/30/4/1137.full.pdf+html.

REFERENCES 116

deFrutos:2011:NCD

[587] Javier de Frutos, Bosco Garcıa-Archilla, and Julia Novo. Nonlinearconvection-diffusion problems: fullydiscrete approximations and a pos-teriori error estimates. IMA Jour-nal of Numerical Analysis, 31(4):1402–1430, October 2011. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/31/4/1402.full.pdf+html.

Ysern:2015:OES

[588] Bernardo de la Calle Ysern. Opti-mal extension of the Szego quadra-ture. IMA Journal of Numeri-cal Analysis, 35(2):722–748, April2015. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://imajna.oxfordjournals.org/content/35/2/722.

DeLeo:2016:HOT

[589] Mariano De Leo, Diego Rial, and Con-stanza Sanchez de la Vega. High-order time-splitting methods for irre-versible equations. IMA Journal ofNumerical Analysis, 36(4):1842–1866,October 2016. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/36/4/1842.

deNiet:2009:NSF

[590] Arie C. de Niet and Fred W. Wubs.Numerically stable LDLT -factorizationof F -type saddle point matrices. IMAJournal of Numerical Analysis, 29(1):208–234, January 2009. CODEN IJ-


dePillis:1981:IMP

[591] J. de Pillis and M. Neumann. It-erative methods with k-part split-tings. IMA Journal of Numerical Anal-ysis, 1(1):65–79, 1981. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

deTeran:2016:BSP

[592] Fernando de Teran, Froilan M. Dopico,and Javier Perez. Backward stability ofpolynomial root-finding using Fiedlercompanion matrices. IMA Journalof Numerical Analysis, 36(1):133–173,January 2016. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/36/1/133.

Deckelnick:2010:NBF

[593] Klaus Deckelnick, Gerhard Dziuk,Charles M. Elliott, and Claus-JustusHeine. An h-narrow band finite-element method for elliptic equationson implicit surfaces. IMA Jour-nal of Numerical Analysis, 30(2):351–376, April 2010. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/30/2/351; http://imajna.oxfordjournals.org/cgi/reprint/30/2/351.

Deckelnick:1998:FEE

[594] Klaus Deckelnick and Charles M. El-liott. Finite element error bounds fora curve shrinking with prescribed nor-mal contact to a fixed boundary. IMA

REFERENCES 117

Journal of Numerical Analysis, 18(4):635–654, October 1998. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_18/Issue_04/180635.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_18/Issue_04/pdf/180635.pdf.

Deckelnick:2000:CDF

[595] Klaus Deckelnick and Kunibert G.Siebert. W 1,∞-convergence of thediscrete free boundary for obsta-cle problems. IMA Journal ofNumerical Analysis, 20(3):481–498,July 2000. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_20/Issue_03/200481.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_20/Issue_03/pdf/200481.pdf.

Deckers:2015:CDT

[596] Karl Deckers. Christoffel–Darboux-type formulae for orthonormal ra-tional functions with arbitrary com-plex poles. IMA Journal of Nu-merical Analysis, 35(4):1842–1863,October 2015. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/35/4/1842.

Deckers:2009:RAO

[597] Karl Deckers and Adhemar Bultheel.Recurrence and asymptotics for or-thonormal rational functions on an in-terval. IMA Journal of NumericalAnalysis, 29(1):1–23, January 2009.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Dedieu:2013:ASS

[598] Jean-Pierre Dedieu, Gregorio Mala-jovich, and Michael Shub. Adaptivestep-size selection for homotopy meth-ods to solve polynomial equations. IMAJournal of Numerical Analysis, 33(1):1–29, January 2013. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/33/1/1.full.pdf+html.

Dedieu:2003:NMR

[599] Jean-Pierre Dedieu, Pierre Priouret,and Gregorio Malajovich. Newton’smethod on Riemannian manifolds: co-variant alpha theory. IMA Jour-nal of Numerical Analysis, 23(3):395–419, July 2003. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_23/Issue_03/drg003.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_23/Issue_03/pdf/drg003.pdf.

Deif:1990:RPP

[600] A. S. Deif. Realistic a priori anda posteriori error bounds for com-puted eigenvalues. IMA Journal of Nu-merical Analysis, 10(3):323–329, 1990.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

DelBuono:2002:MMA

[601] Nicoletta Del Buono and Adrian T.Hill. On a multistep method ap-proximating a linear sectorial evo-lution equation. IMA Journal ofNumerical Analysis, 22(3):481–499,July 2002. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642

REFERENCES 118

(electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_22/Issue_03/220481.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_22/Issue_03/pdf/220481.pdf.

DelPezzo:2015:OCF

[602] Leandro M. Del Pezzo and SandraMartınez. Order of convergence ofthe finite element method for thep(x)-Laplacian. IMA Journal ofNumerical Analysis, 35(4):1864–1887,October 2015. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/35/4/1864.

Delbourgo:1994:AEH

[603] D. Delbourgo and D. Elliott. On theapproximate evaluation of Hadamardfinite-part integrals. IMA Journalof Numerical Analysis, 14(4):485–500,1994. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Delbourgo:1989:SPI

[604] R. Delbourgo. Shape preserving in-terpolation to convex data by ratio-nal functions with quadratic numeratorand linear denominator. IMA Journalof Numerical Analysis, 9(1):123–136,1989. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Delbourgo:1983:RQS

[605] R. Delbourgo and J. A. Gregory. C2 ra-tional quadratic spline interpolation tomonotonic data. IMA Journal of Nu-merical Analysis, 3(2):141–152, 1983.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Delbourgo:1985:DDP

[606] R. Delbourgo and J. A. Gregory. Thedetermination of derivative parametersfor a monotonic rational quadratic in-terpolant. IMA Journal of NumericalAnalysis, 5(4):397–406, 1985. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic).

DellAccio:2016:AOT

[607] Francesco Dell’Accio, Filomena DiTommaso, and Kai Hormann. Onthe approximation order of triangu-lar Shepard interpolation. IMA Jour-nal of Numerical Analysis, 36(1):359–379, January 2016. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/36/1/359.

Dellnitz:1992:CBP

[608] Michael Dellnitz. Computational bifur-cation of periodic solutions in systemswith symmetry. IMA Journal of Nu-merical Analysis, 12(3):429–455, 1992.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic). IMAConference on Dynamics of Numericsand Numerics of Dynamics (Bristol,1990).

Dellnitz:2002:FZM

[609] Michael Dellnitz, Oliver Schutze, andStefan Sertl. Finding zeros by mul-tilevel subdivision techniques. IMAJournal of Numerical Analysis, 22(2):167–185, April 2002. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_22/Issue_02/220167.sgm.abs.html; http:

REFERENCES 119


Demetriou:1991:LSS

[610] I. C. Demetriou and M. J. D. Powell.Least squares smoothing of univariatedata to achieve piecewise monotonic-ity. IMA Journal of Numerical Anal-ysis, 11(3):411–432, 1991. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Demetriou:1991:MSS

[611] I. C. Demetriou and M. J. D. Powell.The minimum sum of squares changeto univariate data that gives convex-ity. IMA Journal of Numerical Anal-ysis, 11(3):433–448, 1991. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Descombes:2013:LTS

[612] Stephane Descombes and MechthildThalhammer. The Lie–Trotter splittingfor nonlinear evolutionary problemswith critical parameters: a compact lo-cal error representation and applicationto nonlinear Schrodinger equations inthe semiclassical regime. IMA Jour-nal of Numerical Analysis, 33(2):722–745, April 2013. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/33/2/722.full.pdf+html.

Devaud:2020:PGS

[613] Denis Devaud. Petrov–Galerkin space–time hp-approximation of parabolicequations in H1/2. IMA Journalof Numerical Analysis, 40(4):2717–2745, October 2020. CODEN IJ-NADH. ISSN 0272-4979 (print),


dHalluin:2005:RNM

[614] Y. d’Halluin, P. A. Forsyth, and K. R.Vetzal. Robust numerical methods forcontingent claims under jump diffusionprocesses. IMA Journal of Numer-ical Analysis, 25(1):87–112, January2005. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).URL http://imanum.oupjournals.org/cgi/content/abstract/25/1/87;http://imanum.oupjournals.org/


Dharmaraja:2010:OST

[615] Sohan Dharmaraja, Yinghui Wang,and Gilbert Strang. Optimal sta-bility for trapezoidal–backward dif-ference split-steps. IMA Journal ofNumerical Analysis, 30(1):141–148,January 2010. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/30/1/141; http://imajna.oxfordjournals.org/cgi/reprint/30/1/141.

DiFratta:2020:LSO

[616] Giovanni Di Fratta, Carl-MartinPfeiler, Dirk Praetorius, Michele Rug-geri, and Bernhard Stiftner. Lin-ear second-order IMEX-type integra-tor for the (eddy current) Landau–Lifshitz–Gilbert equation. IMA Jour-nal of Numerical Analysis, 40(4):2802–2838, October 2020. CODEN IJ-NADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/40/4/2802/5618688.

REFERENCES 120

DiPietro:2017:AOM

[617] Daniele A. Di Pietro and AlexandreErn. Arbitrary-order mixed meth-ods for heterogeneous anisotropic dif-fusion on general meshes. IMA Jour-nal of Numerical Analysis, 37(1):40–63, January 1, 2017. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL https://academic.oup.com/imajna/article/37/1/40/2669935/Arbitrary-order-mixed-methods-for-heterogeneous.

Dick:2007:RSA

[618] Josef Dick, Gunther Leobacher, andFriedrich Pillichshammer. Random-ized Smolyak algorithms based ondigital sequences for multivariate in-tegration. IMA Journal of Nu-merical Analysis, 27(4):655–674, Oc-tober 2007. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/27/4/655; http://imajna.oxfordjournals.org/cgi/reprint/27/4/655.

Diegel:2016:SCS

[619] Amanda E. Diegel, Cheng Wang, andSteven M. Wise. Stability and con-vergence of a second-order mixed fi-nite element method for the Cahn–Hilliard equation. IMA Journal ofNumerical Analysis, 36(4):1867–1897,October 2016. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/36/4/1867.

Diening:2014:LDG

[620] Lars Diening, Dietmar Kroner, Michael

Ruzicka, and Ioannis Toulopoulos.A local discontinuous Galerkin ap-proximation for systems with p-structure. IMA Journal of Numer-ical Analysis, 34(4):1447–1488, Oc-tober 2014. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/34/4/1447.

Dierckx:1981:ASF

[621] P. Dierckx. An algorithm for surface-fitting with spline functions. IMA Jour-nal of Numerical Analysis, 1(3):267–283, 1981. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic).

Dierckx:1992:ASF

[622] P. Dierckx, S. Van Leemput, andT. Vermeire. Algorithms for sur-face fitting using Powell–Sabin splines.IMA Journal of Numerical Analysis,12(2):271–299, 1992. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Diethelm:1997:GCQ

[623] Kai Diethelm. Generalized com-pound quadrature formulae for finite-part integrals. IMA Journal ofNumerical Analysis, 17(3):479–493,July 1997. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_17/Issue_03/170479.sgm.abs.html.

Diogo:1991:HTC

[624] Teresa Diogo, Sean McKee, and TaoTang. A Hermite-type collocationmethod for the solution of an inte-gral equation with a certain weakly

REFERENCES 121

singular kernel. IMA Journal of Nu-merical Analysis, 11(4):595–605, 1991.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Dione:2020:OEE

[625] Ibrahima Dione. Optimal error esti-mates of the unilateral contact prob-lem in a curved and smooth bound-ary domain by the penalty method.IMA Journal of Numerical Analysis, 40(1):729–763, January 2020. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/40/1/729/5060523.

Discacciati:2018:OSM

[626] Marco Discacciati and Luca Gerardo-Giorda. Optimized Schwarz methodsfor the Stokes–Darcy coupling. IMAJournal of Numerical Analysis, 38(4):1959–1983, October 16, 2018. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/38/4/1959/4124872.

Ditzian:1988:MSD

[627] Z. Ditzian. The modulus of smooth-ness and discrete data in a square do-main. IMA Journal of Numerical Anal-ysis, 8(3):311–319, 1988. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Dixon:1984:RII

[628] Jennifer Dixon and Sean McKee. Re-peated integral inequalities. IMAJournal of Numerical Analysis, 4(1):99–107, January 1984. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Dixon:1985:UAC

[629] Jennifer Dixon and Sean McKee. A uni-fied approach to convergence analysisof discretization methods for Volterra-type equations. IMA Journal of Nu-merical Analysis, 5(1):41–57, 1985.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Dobson:2014:TNP

[630] Matthew Dobson. There is no point-wise consistent quasicontinuum en-ergy. IMA Journal of Numeri-cal Analysis, 34(4):1541–1553, Oc-tober 2014. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/34/4/1541.

Dobson:2013:SSH

[631] Matthew Dobson, Claude Le Bris, andFrederic Legoll. Symplectic schemes forhighly oscillatory Hamiltonian systems:the homogenization approach beyondthe constant frequency case. IMA Jour-nal of Numerical Analysis, 33(1):30–56, January 2013. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/33/1/30.full.pdf+html.

Dohler:1991:SGR

[632] R. Dohler. Squared Givens rota-tion. IMA Journal of Numerical Anal-ysis, 11(1):1–5, 1991. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Dolejsi:2008:OEE

[633] Vıt Dolejsı, Miloslav Feistauer, VaclavKucera, and Veronika Sobotıkova.

REFERENCES 122

An optimal L(L2)-error estimate forthe discontinuous Galerkin approxi-mation of a nonlinear non-stationaryconvection–diffusion problem. IMAJournal of Numerical Analysis, 28(3):496–521, July 2008. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/28/3/496; http://imajna.oxfordjournals.org/cgi/reprint/28/3/496.

Dominguez:2011:SEE

[634] V. Domınguez, I. G. Graham, andV. P. Smyshlyaev. Stability anderror estimates for Filon–Clenshaw–Curtis rules for highly oscillatory in-tegrals. IMA Journal of Numer-ical Analysis, 31(4):1253–1280, Oc-tober 2011. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/31/4/1253.full.pdf+html.

Dond:2017:CAL

[635] Asha K. Dond, Neela Nataraj, andAmiya Kumar Pani. Convergenceof an adaptive lowest-order Raviart–Thomas element method for generalsecond-order linear elliptic problems.IMA Journal of Numerical Analysis,37(2):832–860, April 2017. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL https://academic.oup.com/imajna/article/37/2/832/2669977/Convergence-of-an-adaptive-lowest-order-Raviart.

Dong:2017:UHD

[636] Haixia Dong, Bo Wang, Ziqing Xie, andLi-Lian Wang. An unfitted hybridiz-

able discontinuous Galerkin method forthe Poisson interface problem and itserror analysis. IMA Journal of Numer-ical Analysis, 37(1):444–476, January1, 2017. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).URL https://academic.oup.com/imajna/article/37/1/444/2884283/An-unfitted-hybridizable-discontinuous-Galerkin.

Donnelly:1989:SBC

[637] J. D. P. Donnelly. Stable boundaryconditions for some hyperbolic differ-ence schemes. IMA Journal of Nu-merical Analysis, 9(4):487–505, 1989.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Dopico:2012:ASS

[638] Froilan M. Dopico and Juan M. Mol-era. Accurate solution of structuredlinear systems via rank-revealing de-compositions. IMA Journal of Nu-merical Analysis, 32(3):1096–1116,July 2012. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/32/3/1096.full.pdf+html.

Dormand:1984:GEE

[639] J. R. Dormand, R. R. Duckers, andP. J. Prince. Global error estima-tion with Runge–Kutta methods. IMAJournal of Numerical Analysis, 4(2):169–184, April 1984. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Dormand:1987:FRK

[640] J. R. Dormand, M. E. A. El-Mikkawy,and P. J. Prince. Families of Runge–

REFERENCES 123

Kutta–Nystrom formulae. IMA Jour-nal of Numerical Analysis, 7(2):235–250, 1987. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic).

Dormand:1987:HOE

[641] J. R. Dormand, M. E. A. El-Mikkawy,and P. J. Prince. High-order em-bedded Runge–Kutta–Nystrom formu-lae. IMA Journal of Numerical Anal-ysis, 7(4):423–430, 1987. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). See corrigendum[642].

Dormand:1991:CHO

[642] J. R. Dormand, M. E. A. El-Mikkawy,and P. J. Prince. Corrigendum:“High-order embedded Runge–Kutta–Nystrom formulae” [IMA J. Numer.Anal. 7 (1987), no. 4, 423–430; MR90d:65136]. IMA Journal of NumericalAnalysis, 11(2):297, 1991. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). See [641].

Dormand:1985:GEE

[643] J. R. Dormand and P. J. Prince.Global error estimation with Runge–Kutta methods. II. IMA Journal of Nu-merical Analysis, 5(4):481–497, 1985.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Doss:2005:QMU

[644] L. Jones Doss and Amiya K. Pani. Aqualocation method for a unidimen-sional single phase semilinear Stefanproblem. IMA Journal of Numeri-cal Analysis, 25(1):139–159, January2005. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

URL http://imanum.oupjournals.org/cgi/content/abstract/25/1/139;http://imanum.oupjournals.org/


Doucette:1994:NMN

[645] Robert L. Doucette. A Nystrommethod for the numerical solutionof Laplace’s equation with non-linearboundary conditions on a polygon.IMA Journal of Numerical Analysis,14(4):501–522, 1994. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Driscoll:2016:RSC

[646] Tobin A. Driscoll and NicholasHale. Rectangular spectral collo-cation. IMA Journal of Numer-ical Analysis, 36(1):108–132, Jan-uary 2016. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/36/1/108.

Drmac:1999:PCS

[647] Zlatko Drmac. A posteriori computa-tion of the singular vectors in a precon-ditioned Jacobi SVD algorithm. IMAJournal of Numerical Analysis, 19(2):191–213, April 1999. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_19/Issue_02/190191.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_19/Issue_02/pdf/190191.pdf.

Droniou:2003:CFV

[648] J. Droniou, R. Eymard, D. Hil-horst, and X. D. Zhou. Con-vergence of a finite-volume mixed

REFERENCES 124

finite-element method for an elliptic-hyperbolic system. IMA Journalof Numerical Analysis, 23(3):507–538, July 2003. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_23/Issue_03/230507.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_23/Issue_03/pdf/230507.pdf.

Droniou:2016:GSS

[649] Jerome Droniou, Robert Eymard, andPierre Feron. Gradient schemes forStokes problem. IMA Journal ofNumerical Analysis, 36(4):1636–1669,October 2016. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/36/4/1636.

Droniou:2019:MFE

[650] Jerome Droniou, Muhammad Ilyas,Bishnu P. Lamichhane, and Glen E.Wheeler. A mixed finite elementmethod for a sixth-order elliptic prob-lem. IMA Journal of Numerical Analy-sis, 39(1):374–397, January 25, 2019.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic). URLhttp://academic.oup.com/imajna/article/39/1/374/4695479.

Droniou:2018:IEG

[651] Jerome Droniou and Neela Nataraj.Improved L2 estimate for gradientschemes and super-convergence of theTPFA finite volume scheme. IMAJournal of Numerical Analysis, 38(3):1254–1293, July 17, 2018. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://


Du:2009:AMF

[652] Qiang Du, Lili Ju, and Li Tian. Anal-ysis of a mixed finite-volume dis-cretization of fourth-order equationson general surfaces. IMA Jour-nal of Numerical Analysis, 29(2):376–403, April 2009. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/29/2/376; http://imajna.oxfordjournals.org/cgi/reprint/29/2/376.

Du:2019:ACD

[653] Qiang Du, Yunzhe Tao, XiaochuanTian, and Jiang Yang. Asymptoti-cally compatible discretization of mul-tidimensional nonlocal diffusion modelsand approximation of nonlocal Green’sfunctions. IMA Journal of Numeri-cal Analysis, 39(2):607–625, April 2019.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic). URLhttp://academic.oup.com/imajna/article/39/2/607/4959864.

DuCroz:1992:SMM

[654] Jeremy J. Du Croz and Nicholas J.Higham. Stability of methods for ma-trix inversion. IMA Journal of Numeri-cal Analysis, 12(1):1–19, 1992. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic).

Duan:2020:NAF

[655] Beiping Duan, Raytcho D. Lazarov,and Joseph E. Pasciak. Numeri-cal approximation of fractional pow-ers of elliptic operators. IMA Jour-nal of Numerical Analysis, 40(3):

REFERENCES 125

1746–1771, July 2020. CODEN IJ-NADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/40/3/1746/5375861.

Duan:2015:SSF

[656] Huoyuan Duan, Roger C. E. Tan, Suh-Yuh Yang, and Cheng-Shu You. AnSPD stabilized finite element methodfor the Stokes equations. IMA Jour-nal of Numerical Analysis, 35(4):1812–1841, October 2015. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/35/4/1812.

Dubeau:1985:PQS

[657] Francois Dubeau and Jean Savoie. Pe-riodic quartic splines with equispacedknots. IMA Journal of NumericalAnalysis, 5(2):183–189, 1985. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic).

Duff:1983:ENW

[658] I. S. Duff and J. K. Reid. Errata:“A note on the work involved in no-fill sparse matrix factorization”. IMAJournal of Numerical Analysis, 3(2):253, 1983. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic).

Duff:1993:ELF

[659] I. S. Duff, G. A. Watson, et al. Ed-itorial: Leslie Fox, 1918–1992. IMAJournal of Numerical Analysis, 13(1):i–ii, 1993. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Duff:2005:CE

[660] Iain Duff and Endre Suli. Changeof Editorship. IMA Journal of Nu-merical Analysis, 25(1):i, January2005. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).URL http://imanum.oupjournals.org/cgi/reprint/25/1/i.

Duff:1991:FSS

[661] Iain S. Duff, N. I. M. Gould, J. K. Reid,J. A. Scott, and K. Turner. The fac-torization of sparse symmetric indef-inite matrices. IMA Journal of Nu-merical Analysis, 11(2):181–204, 1991.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Duff:1987:SSS

[662] Iain S. Duff and Ulrich Nowak. Onsparse solvers in a stiff integrator of ex-trapolation type. IMA Journal of Nu-merical Analysis, 7(4):391–405, 1987.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Duff:1983:NWI

[663] Iain S. Duff and J. K. Reid. A noteon the work involved in no-fill sparsematrix factorization. IMA Journal ofNumerical Analysis, 3(1):37–40, 1983.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Duff:2019:SPS

[664] Timothy Duff, Cvetelina Hill, An-ders Jensen, Kisun Lee, Anton Leykin,and Jeff Sommars. Solving poly-nomial systems via homotopy con-tinuation and monodromy. IMAJournal of Numerical Analysis, 39(3):1421–1446, July 2019. CODEN

REFERENCES 126


Dujardin:2016:ABS

[665] Guillaume Dujardin and PaulineLafitte. Asymptotic behaviour of split-ting schemes involving time-subcyclingtechniques. IMA Journal of Nu-merical Analysis, 36(4):1804–1841,October 2016. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/36/4/1804.

Dumas:2011:CCW

[666] W. M. Dumas and M. V. Tretyakov.Computing conditional Wiener in-tegrals of functionals of a generalform. IMA Journal of Numeri-cal Analysis, 31(3):1217–1251, July2011. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://imajna.oxfordjournals.org/content/31/3/1217.full.pdf+html.

Duncan:1991:SES

[667] D. B. Duncan. A simple and effec-tive self-adaptive moving mesh for en-thalpy formulations of phase changeproblems. IMA Journal of NumericalAnalysis, 11(1):55–78, 1991. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic).

Duncan:2007:OGD

[668] Dugald B. Duncan and Yiqi Qiu.Overlapping grids for the diffusionequation. IMA Journal of Numer-ical Analysis, 27(3):550–575, July

2007. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/27/3/550; http://imajna.oxfordjournals.org/cgi/reprint/27/3/550.

Dunne:2009:FMN

[669] R. K. Dunne, E. O’Riordan, and G. I.Shishkin. Fitted mesh numerical meth-ods for singularly perturbed ellipticproblems with mixed derivatives. IMAJournal of Numerical Analysis, 29(3):712–730, July 2009. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/29/3/712; http://imajna.oxfordjournals.org/cgi/reprint/29/3/712.

Dunst:2015:CRT

[670] Thomas Dunst. Convergence withrates for a time-discretization of theStochastic Landau–Lifschitz–Gilbertequation. IMA Journal of Numer-ical Analysis, 35(2):615–651, April2015. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://imajna.oxfordjournals.org/content/35/2/615.

Dunst:2015:OCE

[671] Thomas Dunst, Markus Klein, An-dreas Prohl, and Ailyn Schafer. Op-timal control in evolutionary micro-magnetism. IMA Journal of Nu-merical Analysis, 35(3):1342–1380,July 2015. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.

REFERENCES 127


Duran:2000:NIR

[672] A. Duran and J. M. Sanz-Serna.The numerical integration of rela-tive equilibrium solutions. The non-linear Schrodinger equation. IMAJournal of Numerical Analysis, 20(2):235–261, April 2000. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_20/Issue_02/200235.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_20/Issue_02/pdf/200235.pdf.

Duran:2012:SFE

[673] R. G. Duran, A. L. Lombardi, andM. I. Prieto. Superconvergencefor finite element approximation ofa convection-diffusion equation us-ing graded meshes. IMA Journalof Numerical Analysis, 32(2):511–533, April 2012. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/32/2/511.full.pdf+html.

Durand:2011:FDF

[674] Stephane Durand and Marian Slod-icka. Fully discrete finite elementmethod for Maxwell’s equations withnonlinear conductivity. IMA Jour-nal of Numerical Analysis, 31(4):1713–1733, October 2011. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/31/4/1713.full.pdf+html.

Dussault:1998:APA

[675] Jean-Pierre P. Dussault. Augmentedpenalty algorithms. IMA Journalof Numerical Analysis, 18(3):355–372, July 1998. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_18/Issue_03/180355.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_18/Issue_03/pdf/180355.pdf.

Dusson:2017:PAN

[676] Genevieve Dusson and Yvon Maday.A posteriori analysis of a nonlin-ear Gross–Pitaevskii-type eigenvalueproblem. IMA Journal of Numeri-cal Analysis, 37(1):94–137, January 1,2017. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).URL https://academic.oup.com/imajna/article/37/1/94/2669933/A-posteriori-analysis-of-a-nonlinear-Gross.

Dyn:1990:DDT

[677] Nira Dyn, David Levin, and SamuelRippa. Data dependent triangulationsfor piecewise linear interpolation. IMAJournal of Numerical Analysis, 10(1):137–154, January 1990. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Dziuk:2007:FEE

[678] G. Dziuk and C. M. Elliott. Finite ele-ments on evolving surfaces. IMA Jour-nal of Numerical Analysis, 27(2):262–292, April 2007. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/27/2/262; http://imajna.

REFERENCES 128

oxfordjournals.org/cgi/reprint/27/2/262.

Dziuk:2012:RKT

[679] G. Dziuk, Ch. Lubich, and D. Man-sour. Runge–Kutta time discretiza-tion of parabolic differential equa-tions on evolving surfaces. IMA Jour-nal of Numerical Analysis, 32(2):394–416, April 2012. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/32/2/394.full.pdf+html.

Eastwood:1987:SBN

[680] James W. Eastwood and Wayne Arter.Spurious behaviour of numericallycomputed fluid flow. IMA Journalof Numerical Analysis, 7(2):205–222,1987. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Ecevit:2019:GBH

[681] Fatih Ecevit and Hasan HuseyinEruslu. A Galerkin BEM for high-frequency scattering problems based onfrequency-dependent changes of vari-ables. IMA Journal of NumericalAnalysis, 39(2):893–923, April 2019.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic). URLhttp://academic.oup.com/imajna/article/39/2/893/4836927.

Egger:2010:HMD

[682] Herbert Egger and Joachim Schoberl.A hybrid mixed discontinuous Galerkinfinite-element method for convection–diffusion problems. IMA Journal ofNumerical Analysis, 30(4):1206–1234,October 2010. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642


Egger:2013:AHD

[683] Herbert Egger and Christian Waluga.hp analysis of a hybrid DG methodfor Stokes flow. IMA Journal ofNumerical Analysis, 33(2):687–721,April 2013. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/33/2/687.full.pdf+html.

Egloffe:2015:RWR

[684] A.-C. Egloffe, A. Gloria, J.-C. Mour-rat, and T. N. Nguyen. Randomwalk in random environment, cor-rector equation and homogenized co-efficients: from theory to numer-ics, back and forth. IMA Jour-nal of Numerical Analysis, 35(2):499–545, April 2015. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/35/2/499.

Eibner:2006:LEA

[685] T. Eibner and J. M. Melenk. A lo-cal error analysis of the boundary-concentrated hp-FEM. IMA Jour-nal of Numerical Analysis, 26(4):752–778, October 2006. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/26/4/752; http://imajna.oxfordjournals.org/cgi/reprint/26/4/752.

REFERENCES 129

Eigel:2010:MFP

[686] M. Eigel, E. George, and M. Kirk-ilionis. A mesh-free partition ofunity method for diffusion equationson complex domains. IMA Jour-nal of Numerical Analysis, 30(3):629–653, July 2010. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/30/3/629; http://imajna.oxfordjournals.org/cgi/reprint/30/3/629.

Eigel:2018:PEC

[687] Martin Eigel and Rudiger Muller. Aposteriori error control for stationarycoupled bulk-surface equations. IMAJournal of Numerical Analysis, 38(1):271–298, January 25, 2018. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/38/1/271/3065607.

ElAlaoui:2007:PPA

[688] L. El Alaoui, A. Ern, and E. Bur-man. A priori and a posteriorianalysis of non-conforming finite ele-ments with face penalty for advection–diffusion equations. IMA Journalof Numerical Analysis, 27(1):151–171,January 2007. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/27/1/151; http://imajna.oxfordjournals.org/cgi/reprint/27/1/151.

El-Gebeily:1998:FDM

[689] M. A. El-Gebeily and I. T. Abu-Zaid.On a finite difference method for singu-

lar two-point boundary value problems.IMA Journal of Numerical Analysis, 18(2):179–190, April 1998. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_18/Issue_02/180179.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_18/Issue_02/pdf/180179.pdf.

ElTarazi:1985:EIM

[690] M. N. El Tarazi. Erratum: “Itera-tive methods for systems of first-orderdifferential equations” [IMA J. Numer.Anal. 5 (1985), no. 1, 29–39; MR86d:65087]. IMA Journal of NumericalAnalysis, 5(4):503, 1985. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). See [691].

ElTarazi:1985:IMS

[691] Mouhamed Nabih El Tarazi. Iterativemethods for systems of first-order dif-ferential equations. IMA Journal ofNumerical Analysis, 5(1):29–39, 1985.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic). See er-ratum [690].

ElTarazi:1986:MPA

[692] Mouhamed Nabih El Tarazi. On amonotony-preserving accelerator pro-cess for the successive approximationsmethod. IMA Journal of NumericalAnalysis, 6(4):439–446, 1986. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic).

Ellacott:1981:CSA

[693] S. W. Ellacott. On the convergence ofsome approximate methods of confor-mal mappings. IMA Journal of Nu-merical Analysis, 1(2):185–192, 1981.

REFERENCES 130


Ellacott:1983:CFE

[694] S. W. Ellacott and M. H. Gutknecht.The Caratheodory–Fejer extension of afinite geometric series. IMA Journalof Numerical Analysis, 3(2):221–227,1983. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Ellacott:1983:PCF

[695] S. W. Ellacott and M. H. Gutknecht.The polynomial Caratheodory–Fejerapproximation method for Jordan re-gions. IMA Journal of Numerical Anal-ysis, 3(2):207–220, 1983. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Elliott:1985:COS

[696] C. M. Elliott. On the convergence ofa one-step method for the numericalsolution of an ordinary differential in-clusion. IMA Journal of NumericalAnalysis, 5(1):3–21, 1985. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Elliott:1987:EAE

[697] C. M. Elliott. Error analysis of theenthalpy method for the Stefan prob-lem. IMA Journal of Numerical Anal-ysis, 7(1):61–71, 1987. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Elliott:2005:FEA

[698] C. M. Elliott, D. Kay, and V. Styles.Finite element analysis of a cur-rent density–electric field formula-tion of Bean’s model for supercon-ductivity. IMA Journal of Numeri-

cal Analysis, 25(1):182–204, January2005. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).URL http://imanum.oupjournals.org/cgi/content/abstract/25/1/182;http://imanum.oupjournals.org/


Elliott:2009:NAT

[699] C. M. Elliott and S. A. Smithe-man. Numerical analysis of theTV regularization and H1 fidelitymodel for decomposing an image intocartoon plus texture. IMA Jour-nal of Numerical Analysis, 29(3):651–689, July 2009. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/29/3/651; http://imajna.oxfordjournals.org/cgi/reprint/29/3/651.

Elliott:1981:FEA

[700] Charles M. Elliott. On the finite ele-ment approximation of an elliptic vari-ational inequality arising from an im-plicit time discretization of the Ste-fan problem. IMA Journal of Nu-merical Analysis, 1(1):115–125, 1981.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Elliott:2017:ACS

[701] Charles M. Elliott and Hans Fritz.On approximations of the curve short-ening flow and of the mean cur-vature flow based on the DeTurcktrick. IMA Journal of Numeri-cal Analysis, 37(2):543–603, April2017. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).URL https://academic.oup.com/

REFERENCES 131

imajna/article/37/2/543/2669973/On-approximations-of-the-curve-shortening-flow-and.

Elliott:1983:EEF

[702] Charles M. Elliott and VladimırJanovsky. An error estimate for afinite-element approximation of an el-liptic variational inequality formula-tion of a Hele–Shaw moving-boundaryproblem. IMA Journal of NumericalAnalysis, 3(1):1–9, 1983. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Elliott:2007:FEA

[703] Charles M. Elliott and Yohei Kashima.A finite-element analysis of critical-state models for type-II supercon-ductivity in 3D. IMA Journal ofNumerical Analysis, 27(2):293–331,April 2007. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/27/2/293; http://imajna.oxfordjournals.org/cgi/reprint/27/2/293.

Elliott:2013:FEA

[704] Charles M. Elliott and Thomas Ran-ner. Finite element analysis fora coupled bulk-surface partial dif-ferential equation. IMA Journalof Numerical Analysis, 33(2):377–402, April 2013. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/33/2/377.full.pdf+html.

Elliott:2011:NCA

[705] Charles M. Elliott, Bjorn Stin-ner, Vanessa Styles, and RichardWelford. Numerical computation ofadvection and diffusion on evolv-ing diffuse interfaces. IMA Jour-nal of Numerical Analysis, 31(3):786–812, July 2011. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/31/3/786.full.pdf+html.

Elliott:2001:NAM

[706] Charles M. Elliott and Vanessa Styles.Numerical analysis of a mean fieldmodel of superconducting vortices.IMA Journal of Numerical Analysis,21(1):1–51, January 2001. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_01/210001.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_01/pdf/210001.pdf.

Elliott:1993:AAT

[707] David Elliott. An asymptotic analysisof two algorithms for certain Hadamardfinite-part integrals. IMA Journalof Numerical Analysis, 13(3):445–462,1993. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Elman:2007:SSS

[708] Howard Elman and Darran Furni-val. Solving the stochastic steady-state diffusion problem using multi-grid. IMA Journal of Numer-ical Analysis, 27(4):675–688, Oc-tober 2007. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642

REFERENCES 132

(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/27/4/675; http://imajna.oxfordjournals.org/cgi/reprint/27/4/675.

Elman:2016:EIA

[709] Howard C. Elman and Minghao W.Rostami. Efficient iterative algo-rithms for linear stability analysis ofincompressible flows. IMA Journalof Numerical Analysis, 36(1):296–316,January 2016. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/36/1/296.

Elschner:1997:QMS

[710] Johannes Elschner and Ivan G. Gra-ham. Quadrature methods for Symm’sintegral equation on polygons. IMAJournal of Numerical Analysis, 17(4):643–664, October 1997. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_17/Issue_04/170643.sgm.abs.html.

Elster:1995:GAB

[711] Clemens Elster and Arnold Neumaier.A grid algorithm for bound con-strained optimization of noisy func-tions. IMA Journal of Numerical Anal-ysis, 15(4):585–608, 1995. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Engelborghs:1999:DCP

[712] K. Engelborghs, K. Lust, and D. Roose.Direct computation of period dou-bling bifurcation points of large-scalesystems of ODEs using a Newton–Picard method. IMA Journal of

Numerical Analysis, 19(4):525–547,October 1999. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_19/Issue_04/190525.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_19/Issue_04/pdf/190525.pdf.

Erath:2019:AVC

[713] Christoph Erath and Dirk Praetorius.Adaptive vertex-centered finite volumemethods for general second-order linearelliptic partial differential equations.IMA Journal of Numerical Analysis,39(2):983–1008, April 2019. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/39/2/983/4913310.

Erb:2020:SIS

[714] Wolfgang Erb. A spectral interpola-tion scheme on the unit sphere based onthe nodes of spherical Lissajous curves.IMA Journal of Numerical Analysis, 40(2):1330–1355, April 2020. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/40/2/1330/5256535.

Erdogan:2019:NCE

[715] Utku Erdogan and Gabriel J. Lord.A new class of exponential integra-tors for SDEs with multiplicative noise.IMA Journal of Numerical Analysis,39(2):820–846, April 2019. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/39/2/820/4955792.

REFERENCES 133

Ern:2019:EFP

[716] Alexandre Ern, Iain Smears, and Mar-tin Vohralık. Equilibrated flux aposteriori error estimates in L2(H1)-norms for high-order discretizationsof parabolic problems. IMA Jour-nal of Numerical Analysis, 39(3):1158–1179, July 2019. CODEN IJ-NADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/39/3/1158/5041990.

Ern:2009:DGM

[717] Alexandre Ern, Annette F. Stephansen,and Paolo Zunino. A discontinuousGalerkin method with weighted av-erages for advection–diffusion equa-tions with locally small and anisotropicdiffusivity. IMA Journal of Numer-ical Analysis, 29(2):235–256, April2009. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/29/2/235; http://imajna.oxfordjournals.org/cgi/reprint/29/2/235.

Ern:2020:QOV

[718] Alexandre Ern and Pietro Zanotti. Aquasi-optimal variant of the hybridhigh-order method for elliptic partialdifferential equations with H−1 loads.IMA Journal of Numerical Analysis, 40(4):2163–2188, October 2020. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/40/4/2163/5686326.

Ervedoza:2016:NME

[719] Sylvain Ervedoza, Aurora Marica,

and Enrique Zuazua. Numericalmeshes ensuring uniform observabil-ity of one-dimensional waves: con-struction and analysis. IMA Jour-nal of Numerical Analysis, 36(2):503–542, April 2016. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/36/2/503.

Ervin:2006:ABE

[720] Vincent J. Ervin and Norbert Heuer.An adaptive boundary element methodfor the exterior Stokes problem inthree dimensions. IMA Journalof Numerical Analysis, 26(2):297–325, April 2006. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imanum.oxfordjournals.org/cgi/content/abstract/26/2/297; http://imanum.oxfordjournals.org/cgi/reprint/26/2/297.

Escande:2016:FCL

[721] Adrien Escande. Fast closest log-arithm algorithm in the special or-thogonal group. IMA Journal ofNumerical Analysis, 36(2):675–687,April 2016. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/36/2/675.

Esser:2015:ARF

[722] Patrick Esser and Jorg Grande. An ac-curate and robust finite element levelset redistancing method. IMA Jour-nal of Numerical Analysis, 35(4):1913–1933, October 2015. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642

REFERENCES 134

(electronic). URL http://imajna.oxfordjournals.org/content/35/4/1913.

Evans:2020:HBS

[723] John A. Evans, Michael A. Scott,Kendrick M. Shepherd, Derek C.Thomas, and Rafael Vazquez Hernandez.Hierarchical B-spline complexes of dis-crete differential forms. IMA Jour-nal of Numerical Analysis, 40(1):422–473, January 2020. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://academic.oup.com/imajna/article/40/1/422/5228145.

Eymard:1998:EEA

[724] R. Eymard, T. Gallouet, M. Ghilani,and R. Herbin. Error estimates forthe approximate solutions of a non-linear hyperbolic equation given byfinite volume schemes. IMA Jour-nal of Numerical Analysis, 18(4):563–594, October 1998. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_18/Issue_04/180563.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_18/Issue_04/pdf/180563.pdf.

Eymard:2006:CCF

[725] R. Eymard, T. Gallouet, and R. Herbin.A cell-centred finite-volume approxi-mation for anisotropic diffusion op-erators on unstructured meshes inany space dimension. IMA Jour-nal of Numerical Analysis, 26(2):326–353, April 2006. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imanum.oxfordjournals.org/cgi/content/abstract/26/2/326; http://imanum.


Eymard:2010:DHA

[726] R. Eymard, T. Gallouet, and R. Herbin.Discretization of heterogeneous andanisotropic diffusion problems on gen-eral nonconforming meshes. Sushi: ascheme using stabilization and hy-brid interfaces. IMA Journal ofNumerical Analysis, 30(4):1009–1043,October 2010. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/30/4/1009.full.pdf+html.

Eymard:2013:GOE

[727] R. Eymard, C. Guichard, and R. Mas-son. Grid orientation effect in cou-pled finite volume schemes. IMA Jour-nal of Numerical Analysis, 33(2):582–608, April 2013. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/33/2/582.full.pdf+html.

Eymard:2011:SFV

[728] Robert Eymard, Angela Handlovicova,and Karol Mikula. Study of a finite vol-ume scheme for the regularized meancurvature flow level set equation. IMAJournal of Numerical Analysis, 31(3):813–846, July 2011. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/31/3/813.full.pdf+html.

Ezquerro:2002:GDC

[729] J. A. Ezquerro and M. A. Hernandez.Generalized differentiability conditions

REFERENCES 135

for Newton’s method. IMA Jour-nal of Numerical Analysis, 22(2):187–205, April 2002. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_22/Issue_02/220187.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_22/Issue_02/pdf/220187.pdf.

Ezquerro:1997:MCM

[730] Jose A. Ezquerro. A modification ofthe Chebyshev method. IMA Jour-nal of Numerical Analysis, 17(4):511–525, October 1997. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_17/Issue_04/170511.sgm.abs.html.

Fabiano:1995:FDA

[731] Richard H. Fabiano, Roger Knobel,and Bruce D. Lowe. A finite-difference algorithm for an inverseSturm–Liouville problem. IMA Jour-nal of Numerical Analysis, 15(1):75–88,1995. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Faermann:2000:LAS

[732] Birgit Faermann. Localization of theAronszajn–Slobodeckij norm and ap-plication to adaptive boundary el-ements methods. Part I. The two-dimensional case. IMA Journalof Numerical Analysis, 20(2):203–234, April 2000. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_20/Issue_02/200203.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_20/Issue_02/pdf/200203.pdf.

Fairweather:1991:BMN

[733] G. Fairweather and J. C. Lopez Mar-cos. A box method for a nonlin-ear equation of population dynam-ics. IMA Journal of Numerical Anal-ysis, 11(4):525–538, 1991. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Fairweather:1983:AED

[734] G. Fairweather and A. V. Saylor. Onthe application of extrapolation, de-ferred correction and defect correc-tion to discrete-time Galerkin methodsfor parabolic problems. IMA Journalof Numerical Analysis, 3(2):173–192,1983. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Falletta:2018:BCF

[735] S. Falletta. BEM coupling with theFEM fictitious domain approach forthe solution of the exterior Poissonproblem and of wave scattering byrotating rigid bodies. IMA Journalof Numerical Analysis, 38(2):779–809,April 18, 2018. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://academic.oup.com/imajna/article/38/2/779/3749199.

Falletta:2014:STB

[736] S. Falletta, G. Monegato, andL. Scuderi. A space–time BIEmethod for wave equation prob-lems: the (two-dimensional) Neu-mann case. IMA Journal of Nu-merical Analysis, 34(1):390–434, Jan-uary 2014. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.

REFERENCES 136


Falletta:2012:STB

[737] Silvia Falletta, Giovanni Monegato,and Letizia Scuderi. A space–timeBie method for nonhomogeneous ex-terior wave equation problems. TheDirichlet case. IMA Journal ofNumerical Analysis, 32(1):202–226,January 2012. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/32/1/202.full.pdf+html.

Fang:2020:FEM

[738] Changjie Fang, Kenneth Czuprynski,Weimin Han, Xiaoliang Cheng, and Xi-aoxia Dai. Finite element method fora stationary Stokes hemivariational in-equality with slip boundary condition.IMA Journal of Numerical Analysis, 40(4):2696–2716, October 2020. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/40/4/2696/5539755.

Faou:2009:GHW

[739] Erwan Faou and Vasile Gradinaru.Gauss–Hermite wave packet dynamics:convergence of the spectral and pseudo-spectral approximation. IMA Jour-nal of Numerical Analysis, 29(4):1023–1045, October 2009. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/29/4/1023; http://imajna.oxfordjournals.org/cgi/reprint/29/4/1023.

Faou:2018:CNG

[740] Erwan Faou and Tiphaine Jezequel.Convergence of a normalized gradientalgorithm for computing ground states.IMA Journal of Numerical Analy-sis, 38(1):360–376, January 25, 2018.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic). URLhttp://academic.oup.com/imajna/article/38/1/360/3078587.

Faou:2015:AES

[741] Erwan Faou, Alexander Ostermann,and Katharina Schratz. Analy-sis of exponential splitting methodsfor inhomogeneous parabolic equa-tions. IMA Journal of Numer-ical Analysis, 35(1):161–178, Jan-uary 2015. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/35/1/161.

Farago:2009:CDP

[742] Istvan Farago and Robert Horvath.Continuous and discrete parabolic op-erators and their qualitative prop-erties. IMA Journal of Numer-ical Analysis, 29(3):606–631, July2009. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/29/3/606; http://imajna.oxfordjournals.org/cgi/reprint/29/3/606.

Farago:2012:DMP

[743] Istvan Farago, Janos Karatson, andSergey Korotov. Discrete maximumprinciples for nonlinear parabolic PDE

REFERENCES 137

systems. IMA Journal of Numer-ical Analysis, 32(4):1541–1573, Oc-tober 2012. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/32/4/1541.full.pdf+html.

Farhloul:2001:RMF

[744] M. Farhloul, S. Nicaise, and L. Pa-quet. A refined mixed finite ele-ment method for the Boussinesq equa-tions in polygonal domains. IMAJournal of Numerical Analysis, 21(2):525–551, April 2001. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_02/210525.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_02/pdf/210525.pdf.

Farhloul:1998:MFE

[745] Mohamed Farhloul. A mixed fi-nite element method for a nonlin-ear Dirichlet problem. IMA Jour-nal of Numerical Analysis, 18(1):121–132, January 1998. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_18/Issue_01/180121.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_18/Issue_01/pdf/180121.pdf.

Farhloul:2008:RMF

[746] Mohamed Farhloul, Serge Nicaise, andLuc Paquet. A refined mixed finite-element method for the stationaryNavier–Stokes equations with mixedboundary conditions. IMA Journalof Numerical Analysis, 28(1):25–45,January 2008. CODEN IJNADH.


Farmer:1985:MPM

[747] C. L. Farmer. A moving point methodfor arbitrary Peclet number multi-dimensional convection-diffusion equa-tions. IMA Journal of Numerical Anal-ysis, 5(4):465–480, 1985. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Farouki:2015:SPI

[748] Rida T. Farouki, Carla Manni,Maria Lucia Sampoli, and AlessandraSestini. Shape-preserving interpola-tion of spatial data by Pythagorean-hodograph quintic spline curves. IMAJournal of Numerical Analysis, 35(1):478–498, January 2015. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://imajna.oxfordjournals.org/content/35/1/478.

Farouki:2003:SPI

[749] Rida T. Farouki, Carla Manni, andAlessandra Sestini. Shape-preservinginterpolation by G1 and G2 PHquintic splines. IMA Journal ofNumerical Analysis, 23(2):175–195,April 2003. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_23/Issue_02/230175.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_23/Issue_02/pdf/230175.pdf.

REFERENCES 138

Farouki:2016:TPS

[750] Rida T. Farouki, Francesca Pelosi,Maria Lucia Sampoli, and Alessan-dra Sestini. Tensor-product surfacepatches with Pythagorean-hodographisoparametric curves. IMA Journalof Numerical Analysis, 36(3):1389–1409, July 2016. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/36/3/1389.

Farrell:2017:MID

[751] Patricio Farrell, Kathryn Gillow, andHolger Wendland. Multilevel in-terpolation of divergence-free vectorfields. IMA Journal of NumericalAnalysis, 37(1):332–353, January 1,2017. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).URL https://academic.oup.com/imajna/article/37/1/332/2669938/Multilevel-interpolation-of-divergence-free-vector.

Farrell:1987:SCU

[752] Paul A. Farrell. Sufficient conditionsfor uniform convergence of a class ofdifference schemes for a singularly per-turbed problem. IMA Journal of Nu-merical Analysis, 7(4):459–472, 1987.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Fasino:1999:DMS

[753] Dario Fasino and Gabriele Inglese. Dis-crete methods in the study of an inverseproblem for Laplace’s equation. IMAJournal of Numerical Analysis, 19(1):105–118, January 1999. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.


Faul:2005:KSA

[754] A. C. Faul, G. Goodsell, and M. J. D.Powell. A Krylov subspace algorithmfor multiquadric interpolation in manydimensions. IMA Journal of Nu-merical Analysis, 25(1):1–24, January2005. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).URL http://imanum.oupjournals.org/cgi/content/abstract/25/1/1;http://imanum.oupjournals.org/

cgi/reprint/25/1/1.

Faustmann:2017:EMA

[755] Markus Faustmann, Jens Markus Me-lenk, and Dirk Praetorius. Existenceof H-matrix approximants to the in-verse of BEM matrices: the hyper-singular integral operator. IMA Jour-nal of Numerical Analysis, 37(3):1211–1244, July 1, 2017. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL https://academic.oup.com/imajna/article/37/3/1211/2669983/Existence-of-mathscr-H-matrix-approximants-to-the.

Favati:1999:FIM

[756] Paola Favati and Beatrice Meini. Onfunctional iteration methods for solv-ing nonlinear matrix equations aris-ing in queueing problems. IMAJournal of Numerical Analysis, 19(1):39–49, January 1999. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_19/

REFERENCES 139


Feireisl:2016:CNM

[757] Eduard Feireisl, Trygve Karper, andAntonın Novotny. A convergent nu-merical method for the Navier–Stokes–Fourier system. IMA Journal ofNumerical Analysis, 36(4):1477–1535,October 2016. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/36/4/1477.

Feireisl:2020:CNT

[758] Eduard Feireisl, Maria Lukacova-Medvidova, and Hana Mizerova. K-convergence as a new tool in nu-merical analysis. IMA Journalof Numerical Analysis, 40(4):2227–2255, October 2020. CODEN IJ-NADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/40/4/2227/5625677.

Feistauer:2019:DGM

[759] Miloslav Feistauer, Filip Roskovec, andAnna-Margarete Sandig. Discontinu-ous Galerkin method for an ellipticproblem with nonlinear Newton bound-ary conditions in a polygon. IMAJournal of Numerical Analysis, 39(1):423–453, January 25, 2019. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/39/1/423/4656159.

Feldstein:1986:OUS

[760] Alan Feldstein and Peter Turner. Over-flow, underflow, and severe loss of sig-

nificance in floating-point addition andsubtraction. IMA Journal of NumericalAnalysis, 6(2):241–251, 1986. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic).

Feng:1998:ADD

[761] Xiaobing Feng. Analysis of a do-main decomposition method for thenearly elastic wave equations based onmixed finite element methods. IMAJournal of Numerical Analysis, 18(2):229–250, April 1998. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_18/Issue_02/180229.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_18/Issue_02/pdf/180229.pdf.

Feng:2018:AMF

[762] Xiaobing Feng, Zhihao Ge, and YukunLi. Analysis of a multiphysics fi-nite element method for a poroelas-ticity model. IMA Journal of Nu-merical Analysis, 38(1):330–359, Jan-uary 25, 2018. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://academic.oup.com/imajna/article/38/1/330/3078586.

Feng:2015:ASI

[763] Xiaobing Feng and Yukun Li. Anal-ysis of symmetric interior penalty dis-continuous Galerkin methods for theAllen–Cahn equation and the meancurvature flow. IMA Journal ofNumerical Analysis, 35(4):1622–1651,October 2015. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/35/4/1622.

REFERENCES 140

Feng:2004:PEE

[764] Xiaobing Feng and Zhenghui Xie.A priori error estimates for a cou-pled finite element method andmixed finite element method fora fluid–solid interaction problem.IMA Journal of Numerical Anal-ysis, 24(4):671–698, October 2004.CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).URL http://imanum.oupjournals.org/cgi/content/abstract/24/4/671;http://imanum.oupjournals.org/cgi/reprint/24/4/671.

Fercoq:2019:ARA

[765] Olivier Fercoq and Zheng Qu. Adaptiverestart of accelerated gradient methodsunder local quadratic growth condition.IMA Journal of Numerical Analysis, 39(4):2069–2095, October 2019. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/39/4/2069/5365591.

Fernandez:2020:SSU

[766] Miguel A. Fernandez and Mikel Landa-juela. Splitting schemes and unfitted-mesh methods for the coupling of anincompressible fluid with a thin-walledstructure. IMA Journal of NumericalAnalysis, 40(2):1407–1453, April 2020.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic). URLhttp://academic.oup.com/imajna/article/40/2/1407/5303249.

Fernandez:2016:CEA

[767] Miguel A. Fernandez and Jimmy Mul-laert. Convergence and error anal-ysis for a class of splitting schemes

in incompressible fluid-structure in-teraction. IMA Journal of Numer-ical Analysis, 36(4):1748–1782, Oc-tober 2016. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/36/4/1748.

Ferreira:2009:LCN

[768] Orizon P. Ferreira. Local conver-gence of Newton’s method in Ba-nach space from the viewpoint ofthe majorant principle. IMA Jour-nal of Numerical Analysis, 29(3):746–759, July 2009. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/29/3/746; http://imajna.oxfordjournals.org/cgi/reprint/29/3/746.

Ferreira:2012:LCN

[769] Orizon P. Ferreira and Roberto C. M.Silva. Local convergence of Newton’smethod under a majorant conditionin Riemannian manifolds. IMA Jour-nal of Numerical Analysis, 32(4):1696–1713, October 2012. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/32/4/1696.full.pdf+html.

Ferreira:2003:ANS

[770] Raul Ferreira, Pablo Groisman, andJulio D. Rossi. Adaptive numer-ical schemes for a parabolic prob-lem with blow-up. IMA Journalof Numerical Analysis, 23(3):439–463, July 2003. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642

REFERENCES 141

(electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_23/Issue_03/drg006.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_23/Issue_03/pdf/drg006.pdf.

Ferriss:1985:NSD

[771] D. H. Ferriss and D. W. Martin. Nu-merical solution of discrete Poisson-Neumann problems with compatible orincompatible data, with reference toflow in a circular cavity. IMA Jour-nal of Numerical Analysis, 5(1):79–100,1985. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Fletcher:1985:EC

[772] R. Fletcher. Expected condition-ing. IMA Journal of Numerical Anal-ysis, 5(3):247–273, 1985. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Fletcher:1987:HMN

[773] R. Fletcher and C. Xu. Hybrid methodsfor nonlinear least squares. IMA Jour-nal of Numerical Analysis, 7(3):371–389, 1987. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic).

Fletcher:2017:ALB

[774] Roger Fletcher. Augmented La-grangians, box constrained QP andextensions. IMA Journal of Nu-merical Analysis, 37(4):1635–1656,October 1, 2017. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL https://academic.oup.com/imajna/article/37/4/1635/3059683.

Fliege:1999:DPS

[775] Jorg Fliege and Ulrike Maier. Thedistribution of points on the sphereand corresponding cubature formulae.IMA Journal of Numerical Analysis, 19(2):317–334, April 1999. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_19/Issue_02/190317.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_19/Issue_02/pdf/190317.pdf.

Floater:2006:CCS

[776] Michael S. Floater. Chordal cu-bic spline interpolation is fourth-order accurate. IMA Journal of Nu-merical Analysis, 26(1):25–33, Jan-uary 2006. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imanum.oxfordjournals.org/cgi/content/abstract/26/1/25; http://imanum.oxfordjournals.org/cgi/reprint/26/1/25.

Fonn:2015:HCA

[777] E. Fonn, P. Grohs, and R. Hipt-mair. Hyperbolic cross approxima-tion for the spatially homogeneousBoltzmann equation. IMA Journal ofNumerical Analysis, 35(4):1533–1567,October 2015. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/35/4/1533.

Fornberg:2008:LPR

[778] Bengt Fornberg, Natasha Flyer, Su-san Hovde, and Cecile Piret. Lo-cality properties of radial basis func-tion expansion coefficients for equi-

REFERENCES 142

spaced interpolation. IMA Journalof Numerical Analysis, 28(1):121–142,January 2008. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/28/1/121; http://imajna.oxfordjournals.org/cgi/reprint/28/1/121.

Fornberg:2010:CBP

[779] Bengt Fornberg, Natasha Flyer, andJennifer M. Russell. Comparisonsbetween pseudospectral and radialbasis function derivative approxima-tions. IMA Journal of Numer-ical Analysis, 30(1):149–172, Jan-uary 2010. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/30/1/149; http://imajna.oxfordjournals.org/cgi/reprint/30/1/149.

Fortunato:2020:FPS

[780] Daniel Fortunato and Alex Townsend.Fast Poisson solvers for spectral meth-ods. IMA Journal of NumericalAnalysis, 40(3):1994–2018, July 2020.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic). URLhttp://academic.oup.com/imajna/article/40/3/1994/5621364.

Foucart:2017:BCA

[781] Simon Foucart and Vladlena Pow-ers. Basc: constrained approxima-tion by semidefinite programming.IMA Journal of Numerical Analysis,37(2):1066–1085, April 2017. CO-DEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic). URL

https://academic.oup.com/imajna/article/37/2/1066/2884284/Basc-constrained-approximation-by-semidefinite.

Fox:1981:NSI

[782] L. Fox and D. F. Mayers. On thenumerical solution of implicit ordinarydifferential equations. IMA Journalof Numerical Analysis, 1(4):377–401,1981. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Franca:2002:SRF

[783] Leopoldo P. Franca and Lutz To-biska. Stability of the residual freebubble method for bilinear finite el-ements on rectangular grids. IMAJournal of Numerical Analysis, 22(1):73–87, January 2002. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_22/Issue_01/220073.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_22/Issue_01/pdf/220073.pdf.

Frank:2001:PIE

[784] J. E. Frank and P. J. Van Der Houwen.Parallel iteration of the extended back-ward differentiation formulas. IMAJournal of Numerical Analysis, 21(1):367–385, January 2001. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_01/210367.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_01/pdf/210367.pdf.

Frankel:1999:NTT

[785] J. I. Frankel and G. E. Osborne.A new time treatment for solvingpartial integro-differential equations

REFERENCES 143

of radiative transport. IMA Jour-nal of Numerical Analysis, 19(1):91–103, January 1999. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_19/Issue_01/190091.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_19/Issue_01/pdf/190091.pdf.

Franz:2018:GDS

[786] Sebastian Franz, Katharina Hohne,and Gunar Matthies. Grad-div stabi-lized discretizations on S-type meshesfor the Oseen problem. IMA Journalof Numerical Analysis, 38(1):299–329,January 25, 2018. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://academic.oup.com/imajna/article/38/1/299/3091689.

Franz:2019:NMC

[787] Sebastian Franz, Sascha Trostorff, andMarcus Waurick. Numerical meth-ods for changing type systems. IMAJournal of Numerical Analysis, 39(2):1009–1038, April 2019. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/39/2/1009/4913313.

Frasca-Caccia:2020:SBP

[788] Gianluca Frasca-Caccia and Pe-ter Ellsworth Hydon. Simple bespokepreservation of two conservation laws.IMA Journal of Numerical Analysis, 40(2):1294–1329, April 2020. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/40/2/1294/5239992.

Freire:1999:NCD

[789] E. Freire, L. Pizarro, and A. J.Rodrıguez-Luis. Numerical contin-uation of degenerate homoclinic or-bits in planar systems. IMA Jour-nal of Numerical Analysis, 19(1):51–75, January 1999. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_19/Issue_01/190051.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_19/Issue_01/pdf/190051.pdf.

Freitag:2008:TPI

[790] Melina A. Freitag and Alastair Spence.A tuned preconditioner for inexactinverse iteration applied to Hermi-tian eigenvalue problems. IMA Jour-nal of Numerical Analysis, 28(3):522–551, July 2008. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/28/3/522; http://imajna.oxfordjournals.org/cgi/reprint/28/3/522.

French:1994:LTB

[791] Donald A. French and Søren Jensen.Long-time behaviour of arbitrary or-der continuous time Galerkin schemesfor some one-dimensional phase tran-sition problems. IMA Journal of Nu-merical Analysis, 14(3):421–442, 1994.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Frittelli:2019:PIP

[792] Massimo Frittelli, Anotida Madz-vamuse, Ivonne Sgura, and Chan-drasekhar Venkataraman. Preserv-ing invariance properties of reaction–

REFERENCES 144

diffusion systems on stationary sur-faces. IMA Journal of Numerical Anal-ysis, 39(1):235–270, January 25, 2019.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic). URLhttp://academic.oup.com/imajna/article/39/1/235/4568335.

Fritz:2013:IFE

[793] H. Fritz. Isoparametric finite el-ement approximation of Ricci cur-vature. IMA Journal of Numer-ical Analysis, 33(4):1265–1290, Oc-tober 2013. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/33/4/1265.full.pdf+html.

Froese:2017:NMH

[794] Brittany D. Froese, Adam M. Ober-man, and Tiago Salvador. Numer-ical methods for the 2-Hessian el-liptic partial differential equation.IMA Journal of Numerical Analy-sis, 37(1):209–236, January 1, 2017.CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).URL https://academic.oup.com/imajna/article/37/1/209/2669939/Numerical-methods-for-the-2-Hessian-elliptic.

Fu:2019:PFS

[795] Guosheng Fu, Yanyi Jin, and WeifengQiu. Parameter-free superconvergentH(div)-conforming HDG methods forthe Brinkman equations. IMA Jour-nal of Numerical Analysis, 39(2):957–982, April 2019. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://academic.

oup.com/imajna/article/39/2/957/4857166.

Fuchs:1993:GNR

[796] P. M. Fuchs. A global negative resulton algebraic stability and a special pos-itive result on linear stability of gen-eralized IRK methods. IMA Journalof Numerical Analysis, 13(4):571–589,1993. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Fuhrer:2021:E

[797] Thomas Fuhrer, Alexander Haberl,and Norbert Heuer. Erratum to:“Trace operators of the bi-Laplacianand applications”. IMA Journal ofNumerical Analysis, 41(1):800, Jan-uary 2021. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://academic.oup.com/imajna/article/41/1/800/5875243.

Fuhrer:2018:DMS

[798] Thomas Fuhrer, Norbert Heuer, andErnst P. Stephan. On the DPG methodfor Signorini problems. IMA Jour-nal of Numerical Analysis, 38(4):1893–1926, October 16, 2018. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/38/4/1893/4260989.

Fulton:2014:ESD

[799] Charles Fulton, David Pearson, andSteven Pruess. Estimating spec-tral density functions for Sturm–Liouville problems with two singu-lar endpoints. IMA Journal ofNumerical Analysis, 34(2):609–650,April 2014. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642

REFERENCES 145


Funaro:1990:CAP

[800] Daniele Funaro. Convergence analy-sis for pseudospectral multidomain ap-proximations of linear advection equa-tions. IMA Journal of NumericalAnalysis, 10(1):63–74, January 1990.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Fuselier:2017:RBF

[801] Edward J. Fuselier and Grady B.Wright. A radial basis function methodfor computing Helmholtz–Hodge de-compositions. IMA Journal of Nu-merical Analysis, 37(2):774–797, April2017. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL https://academic.oup.com/imajna/article/37/2/774/2669992/A-radial-basis-function-method-for-computing.

Gabriel:2010:NAM

[802] J. Rigoberto Gabriel, Juan Gonzalez-Hernandez, and Raquiel R. Lopez-Martınez. Numerical approximationsto the mass transfer problem oncompact spaces. IMA Journal ofNumerical Analysis, 30(4):1121–1136,October 2010. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/30/4/1121.full.pdf+html.

Gaier:1987:CTN

[803] D. Gaier and N. Papamichael. On thecomparison of two numerical methodsfor conformal mapping. IMA Journal

of Numerical Analysis, 7(3):261–282,1987. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Gallistl:2015:MFE

[804] Dietmar Gallistl. Morley finite ele-ment method for the eigenvalues ofthe biharmonic operator. IMA Jour-nal of Numerical Analysis, 35(4):1779–1811, October 2015. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/35/4/1779.

Gallouet:2016:EEN

[805] Thierry Gallouet, Raphaele Herbin,David Maltese, and Antonin Novotny.Error estimates for a numerical approx-imation to the compressible barotropicNavier–Stokes equations. IMA Jour-nal of Numerical Analysis, 36(2):543–592, April 2016. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/36/2/543.

Ganesh:2012:CAP

[806] M. Ganesh, S. C. Hawkins, andR. Hiptmair. Convergence analy-sis with parameter estimates for areduced basis acoustic scattering T -matrix method. IMA Journal ofNumerical Analysis, 32(4):1348–1374,October 2012. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/32/4/1348.full.pdf+html.

Ganesh:1991:NSH

[807] M. Ganesh and M. C. Joshi. Numeri-cal solvability of Hammerstein integral

REFERENCES 146

equations of mixed type. IMA Jour-nal of Numerical Analysis, 11(1):21–31,1991. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Ganesh:1998:OCN

[808] M. Ganesh and A. Spence. Or-thogonal collocation for a nonlinearintegro-differential equation. IMAJournal of Numerical Analysis, 18(2):191–206, April 1998. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_18/Issue_02/180191.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_18/Issue_02/pdf/180191.pdf.

Gantner:2018:ROA

[809] Gregor Gantner, Alexander Haberl,Dirk Praetorius, and Bernhard Stift-ner. Rate optimal adaptive FEM withinexact solver for nonlinear operators.IMA Journal of Numerical Analysis,38(4):1797–1831, October 16, 2018.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic). URLhttp://academic.oup.com/imajna/article/38/4/1797/4158785.

Garau:2011:CQO

[810] Eduardo M. Garau and Pedro Morin.Convergence and quasi-optimality ofadaptive FEM for Steklov eigen-value problems. IMA Journal ofNumerical Analysis, 31(3):914–946,July 2011. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/31/3/914.full.pdf+html.

Garay:1998:DFD

[811] Barnabas M. Garay. The discretizedflow on domains of attraction: a struc-tural stability result. IMA Jour-nal of Numerical Analysis, 18(1):77–90, January 1998. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_18/Issue_01/180077.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_18/Issue_01/pdf/180077.pdf.

Garay:2001:NFB

[812] Barnabas M. Garay and Peter L. Si-mon. Numerical flow-box theoremsunder structural assumptions. IMAJournal of Numerical Analysis, 21(3):733–749, July 2001. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_03/210733.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_03/pdf/210733.pdf.

Garcia:2017:FES

[813] Carlos Garcıa, Gabriel N. Gatica, andSalim Meddahi. Finite element semidis-cretization of a pressure-stress for-mulation for the time-domain fluid-structure interaction problem. IMAJournal of Numerical Analysis, 37(4):1772–1799, October 1, 2017. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL https://academic.oup.com/imajna/article/37/4/1772/3038030.

Garcia-Archilla:1995:ASC

[814] B. Garcıa-Archilla and J. A. Macken-zie. Analysis of a supraconvergent cell

REFERENCES 147

vertex finite-volume method for one-dimensional convection-diffusion prob-lems. IMA Journal of Numerical Anal-ysis, 15(1):101–115, 1995. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Garcia-Archilla:1995:TIN

[815] Bosco Garcıa-Archilla and Javier deFrutos. Time integration of the non-linear Galerkin method. IMA Journalof Numerical Analysis, 15(2):221–244,1995. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Gardini:2018:VEM

[816] Francesca Gardini and GiuseppeVacca. Virtual element methodfor second-order elliptic eigenvalueproblems. IMA Journal of Nu-merical Analysis, 38(4):2026–2054,October 16, 2018. CODEN IJ-NADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/38/4/2026/4602859.

Garralda-Guillem:2014:PEA

[817] Ana I. Garralda-Guillem, Manuel RuizGalan, Gabriel N. Gatica, and An-tonio Marquez. A posteriori er-ror analysis of twofold saddle pointvariational formulations for nonlinearboundary value problems. IMA Jour-nal of Numerical Analysis, 34(1):326–361, January 2014. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/34/1/326.full.pdf+html.

Gartland:1989:CHO

[818] Eugene C. Gartland, Jr. Compact high-order finite differences for interfaceproblems in one dimension. IMA Jour-nal of Numerical Analysis, 9(2):243–260, 1989. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic).

Gaspoz:2016:OGN

[819] Fernando D. Gaspoz, Claus-JustusHeine, and Kunibert G. Siebert. Op-timal grading of the newest ver-tex bisection and H1-stability ofthe L2-projection. IMA Journalof Numerical Analysis, 36(3):1217–1241, July 2016. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/36/3/1217.

Gaspoz:2009:CRA

[820] Fernando D. Gaspoz and Pedro Morin.Convergence rates for adaptive fi-nite elements. IMA Journal ofNumerical Analysis, 29(4):917–936,October 2009. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/29/4/917; http://imajna.oxfordjournals.org/cgi/reprint/29/4/917.

Gaspoz:2019:CTS

[821] Fernando D. Gaspoz, Kunibert Siebert,Christian Kreuzer, and Daniel A.Ziegler. A convergent time-spaceadaptive dG(s) finite element methodfor parabolic problems motivated byequal error distribution. IMA Jour-nal of Numerical Analysis, 39(2):650–

REFERENCES 148

686, April 2019. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://academic.oup.com/imajna/article/39/2/650/4960122.

Gass:2019:PIM

[822] Maximilian Gaß and Kathrin Glau.Parametric integration by magic pointempirical interpolation. IMA Journalof Numerical Analysis, 39(1):315–341,January 25, 2019. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://academic.oup.com/imajna/article/39/1/315/4774576.

Gastaldi:1994:DDT

[823] Fabio Gastaldi and Lucia Gastaldi. Ona domain decomposition for the trans-port equation: theory and finite el-ement approximation. IMA Journalof Numerical Analysis, 14(1):111–135,1994. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Gastaldo:2011:DPM

[824] Laura Gastaldo, Raphaele Herbin,and Jean-Claude Latche. A dis-cretization of the phase mass bal-ance in fractional step algorithms forthe drift-flux model. IMA Journalof Numerical Analysis, 31(1):116–146,January 2011. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/31/1/116.full.pdf+html.

Gatica:2003:NAN

[825] Gabriel N. Gatica, Norbert Heuer,and Salim Meddahi. On the nu-merical analysis of nonlinear twofold

saddle point problems. IMA Jour-nal of Numerical Analysis, 23(2):301–330, April 2003. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_23/Issue_02/230301.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_23/Issue_02/pdf/230301.pdf.

Gatica:2012:FEA

[826] Gabriel N. Gatica and Salim Med-dahi. Finite element analysis ofa time harmonic Maxwell problemwith an impedance boundary con-dition. IMA Journal of Numer-ical Analysis, 32(2):534–552, April2012. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://imajna.oxfordjournals.org/content/32/2/534.full.pdf+html.

Gatica:2009:CMF

[827] Gabriel N. Gatica, Salim Meddahi, andRicardo Oyarzua. A conforming mixedfinite-element method for the couplingof fluid flow with porous media flow.IMA Journal of Numerical Analysis, 29(1):86–108, January 2009. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Gatica:2012:TSP

[828] Gabriel N. Gatica, Ricardo Oyarzua,and Francisco-Javier Sayas. A twofoldsaddle point approach for the cou-pling of fluid flow with nonlinearporous media flow. IMA Journalof Numerical Analysis, 32(3):845–887, July 2012. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.

REFERENCES 149


Gauckler:2011:CSS

[829] Ludwig Gauckler. Convergence ofa split-step Hermite method for theGross–Pitaevskii equation. IMA Jour-nal of Numerical Analysis, 31(2):396–415, April 2011. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/31/2/396.full.pdf+html.

Gauckler:2017:NLT

[830] Ludwig Gauckler. Numerical long-time energy conservation for the non-linear Schrodinger equation. IMAJournal of Numerical Analysis, 37(4):2067–2090, October 1, 2017. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL https://academic.oup.com/imajna/article/37/4/2067/2670309.

Gavrilyuk:2007:ECP

[831] I. P. Gavrilyuk, A. V. Klimenko, V. L.Makarov, and N. O. Rossokhata. Ex-ponentially convergent parallel algo-rithm for nonlinear eigenvalue prob-lems. IMA Journal of Numer-ical Analysis, 27(4):818–838, Oc-tober 2007. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/27/4/818; http://imajna.oxfordjournals.org/cgi/reprint/27/4/818.

Gensun:2005:CDR

[832] Fang Gensun and Ye Peixin. Complex-ity of deterministic and randomized

methods for multivariate integrationproblems for the class HΛ

p (Id). IMAJournal of Numerical Analysis, 25(3):473–485, July 2005. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imanum.oxfordjournals.org/cgi/content/abstract/25/3/473; http://imanum.oxfordjournals.org/cgi/reprint/25/3/473.

Georgoulis:2019:PEB

[833] Emmanuil H. Georgoulis, Edward Hall,and Charalambos Makridakis. Ana posteriori error bound for discon-tinuous Galerkin approximations ofconvection-diffusion problems. IMAJournal of Numerical Analysis, 39(1):34–60, January 25, 2019. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/39/1/34/4772755.

Georgoulis:2009:DGM

[834] Emmanuil H. Georgoulis and PaulHouston. Discontinuous Galerkinmethods for the biharmonic prob-lem. IMA Journal of Numeri-cal Analysis, 29(3):573–594, July2009. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/29/3/573; http://imajna.oxfordjournals.org/cgi/reprint/29/3/573.

Georgoulis:2011:PEI

[835] Emmanuil H. Georgoulis, Paul Hous-ton, and Juha Virtanen. An a pos-teriori error indicator for discontinu-ous Galerkin approximations of fourth-order elliptic problems. IMA Jour-

REFERENCES 150

nal of Numerical Analysis, 31(1):281–298, January 2011. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/31/1/281.full.pdf+html.

Georgoulis:2013:PEB

[836] Emmanuil H. Georgoulis, OmarLakkis, and Charalambos Makridakis.A posteriori L∞(L2)-error bounds forfinite element approximations to thewave equation. IMA Journal ofNumerical Analysis, 33(4):1245–1264,October 2013. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/33/4/1245.full.pdf+html.

Georgoulis:2006:NDV

[837] Emmanuil H. Georgoulis and AndrisLasis. A note on the design of hp-version interior penalty discontinu-ous Galerkin finite element methodsfor degenerate problems. IMA Jour-nal of Numerical Analysis, 26(2):381–390, April 2006. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imanum.oxfordjournals.org/cgi/content/abstract/26/2/381; http://imanum.oxfordjournals.org/cgi/reprint/26/2/381.

Georgoulis:2005:OEE

[838] Emmanuil H. Georgoulis and EndreSuli. Optimal error estimates forthe hp-version interior penalty dis-continuous Galerkin finite elementmethod. IMA Journal of Numeri-cal Analysis, 25(1):205–220, January2005. CODEN IJNADH. ISSN 0272-

4979 (print), 1464-3642 (electronic).URL http://imanum.oupjournals.org/cgi/content/abstract/25/1/205;http://imanum.oupjournals.org/


Gerisch:2010:AEE

[839] A. Gerisch. On the approxima-tion and efficient evaluation of in-tegral terms in PDE models of celladhesion. IMA Journal of Numer-ical Analysis, 30(1):173–194, Jan-uary 2010. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/30/1/173; http://imajna.oxfordjournals.org/cgi/reprint/30/1/173.

Gerrard:1984:APC

[840] C. Gerrard and K. Wright. Asymp-totic properties of collocation matrixnorms. II. Piecewise polynomial ap-proximation. IMA Journal of Numeri-cal Analysis, 4(3):363–373, July 1984.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Gervais:2002:NSC

[841] Jean-Jacques Gervais and HassanSadiky. A new steplength controlfor continuation with the asymp-totic numerical method. IMA Jour-nal of Numerical Analysis, 22(2):207–229, April 2002. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_22/Issue_02/220207.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_22/Issue_02/pdf/220207.pdf.

REFERENCES 151

Ghelardoni:2003:NSR

[842] P. Ghelardoni, G. Gheri, and M. Mar-letta. Numerical solution of aλ-rational Sturm–Liouville problem.IMA Journal of Numerical Analysis, 23(1):29–53, January 2003. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_23/Issue_01/230029.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_23/Issue_01/pdf/230029.pdf.

Ghosh:2016:FBF

[843] Aditi Ghosh and Prabir Daripa.The FFTRR-based fast decompo-sition methods for solving com-plex biharmonic problems and in-compressible flows. IMA Journalof Numerical Analysis, 36(2):824–850, April 2016. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/36/2/824.

Giesselmann:2015:LMA

[844] Jan Giesselmann. Low Machasymptotic-preserving scheme for theEuler–Korteweg model. IMA Jour-nal of Numerical Analysis, 35(2):802–833, April 2015. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/35/2/802.

Giesselmann:2016:RRE

[845] Jan Giesselmann and Tristan Pryer.Reduced relative entropy techniquesfor a posteriori analysis of mul-tiphase problems in elastodynam-ics. IMA Journal of Numeri-

cal Analysis, 36(4):1685–1714, Oc-tober 2016. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/36/4/1685.

Gil:2011:FAC

[846] Amparo Gil, Javier Segura, andNico M. Temme. Fast and accuratecomputation of the Weber paraboliccylinder function W (a, x). IMA Jour-nal of Numerical Analysis, 31(3):1194–1216, July 2011. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/31/3/1194.full.pdf+html.

Gilbert:1990:ESI

[847] J. Gilbert and W. A. Light. Envelopesolutions for implicit ordinary differen-tial equations. IMA Journal of Nu-merical Analysis, 10(1):49–61, January1990. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Giles:1997:SCD

[848] M. B. Giles. On the stability andconvergence of discretizations of ini-tial value p.d.e.s. IMA Journal ofNumerical Analysis, 17(4):563–576,October 1997. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_17/Issue_04/170563.sgm.abs.html.

Gill:2017:SSM

[849] Philip E. Gill, Vyacheslav Kungurt-sev, and Daniel P. Robinson. Astabilized SQP method: global con-vergence. IMA Journal of Numeri-cal Analysis, 37(1):407–443, January

REFERENCES 152

1, 2017. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL https://academic.oup.com/imajna/article/37/1/407/2669936/A-stabilized-SQP-method-global-convergence.

Giraud:2002:WMG

[850] L. Giraud and J. Langou. Whenmodified Gram–Schmidt generates awell-conditioned set of vectors. IMAJournal of Numerical Analysis, 22(4):521–528, October 2002. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_22/Issue_04/220521.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_22/Issue_04/pdf/220521.pdf.

Giraud:1999:SCP

[851] Luc Giraud and Ray S. Tuminaro.Schur complement preconditioners foranisotropic problems. IMA Jour-nal of Numerical Analysis, 19(1):1–18, January 1999. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_19/Issue_01/190001.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_19/Issue_01/pdf/190001.pdf.

Girault:2004:DDM

[852] V. Girault, R. Glowinski, andH. Lopez. A domain decomposi-tion and mixed method for a lin-ear parabolic boundary value problem.IMA Journal of Numerical Analysis, 24(3):491–520, July 2004. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_24/


Girault:1996:FEE

[853] V. Girault and H. Lopez. Finite-element error estimates for theMAC scheme. IMA Journal ofNumerical Analysis, 16(3):347–379,July 1996. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_16/Issue_03/160347.sgm.abs.html.

Gittelson:2012:RGF

[854] Claude Jeffrey Gittelson. Representa-tion of Gaussian fields in series withindependent coefficients. IMA Jour-nal of Numerical Analysis, 32(1):294–319, January 2012. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/32/1/294.full.pdf+html.

Gladwell:1990:EMS

[855] I. Gladwell and R. M. Thomas. Ef-ficiency of methods for second-orderproblems. IMA Journal of Numer-ical Analysis, 10(2):181–207, 1990.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Glaister:1988:SRP

[856] P. Glaister. A shock-reflection problemin compressible-gas dynamics with asimilarity solution. IMA Journal of Nu-merical Analysis, 8(3):343–356, 1988.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

REFERENCES 153

Glowinski:1984:FEA

[857] R. Glowinski, L. D. Marini, andM. Vidrascu. Finite-element approx-imations and iterative solutions ofa fourth-order elliptic variational in-equality. IMA Journal of Numeri-cal Analysis, 4(2):127–167, April 1984.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Glunt:1995:APM

[858] William K. Glunt. An alternating pro-jections method for certain linear prob-lems in a Hilbert space. IMA Journalof Numerical Analysis, 15(2):291–305,1995. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

GmeligMeyling:1987:BSA

[859] R. H. J. Gmelig Meyling and P. R.Pfluger. B-spline approximation ofa closed surface. IMA Journal ofNumerical Analysis, 7(1):73–96, 1987.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Goda:2020:REA

[860] Takashi Goda. Richardson extrap-olation allows truncation of higher-order digital nets and sequences. IMAJournal of Numerical Analysis, 40(3):2052–2075, July 2020. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/40/3/2052/5437532.

Goda:2017:OOQ

[861] Takashi Goda, Kosuke Suzuki, andTakehito Yoshiki. Optimal order quasi-Monte Carlo integration in weightedSobolev spaces of arbitrary smooth-ness. IMA Journal of Numerical

Analysis, 37(1):505–518, January 1,2017. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).URL https://academic.oup.com/imajna/article/37/1/505/2669950/Optimal-order-quasi-Monte-Carlo-integration-in.

Goldfarb:2008:NSF

[862] D. Goldfarb and K. Scheinberg. Nu-merically stable LDLT factorizationsin interior point methods for con-vex quadratic programming. IMAJournal of Numerical Analysis, 28(4):806–826, October 2008. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/28/4/806.

Golub:2009:QAY

[863] Gene Golub and Frank Uhlig. The QRalgorithm: 50 years later its genesis byJohn Francis and Vera Kublanovskayaand subsequent developments. IMAJournal of Numerical Analysis, 29(3):467–485, July 2009. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/29/3/467; http://imajna.oxfordjournals.org/cgi/reprint/29/3/467.

Gong:2020:IEE

[864] Wei Gong and Buyang Li. Improvederror estimates for semidiscrete finiteelement solutions of parabolic Dirich-let boundary control problems. IMAJournal of Numerical Analysis, 40(4):2898–2939, October 2020. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://

REFERENCES 154


Gong:2019:CAF

[865] Wei Gong, Wenbin Liu, Zhiyu Tan,and Ningning Yan. A convergent adap-tive finite element method for ellipticDirichlet boundary control problems.IMA Journal of Numerical Analysis, 39(4):1985–2015, October 2019. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/39/4/1985/5068728. See corrigendum[866].

Gong:2020:CCA

[866] Wei Gong, Wenbin Liu, Zhiyu Tan,and Ningning Yan. Corrigendum to:A convergent adaptive finite elementmethod for elliptic Dirichlet bound-ary control problems. IMA Jour-nal of Numerical Analysis, 40(1):800,January 2020. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://academic.oup.com/imajna/article/40/1/800/5114643. See [865].

Gonzalez:1999:QPM

[867] O. Gonzalez, D. J. Higham, andA. M. Stuart. Qualitative proper-ties of modified equations. IMAJournal of Numerical Analysis, 19(2):169–190, April 1999. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_19/Issue_02/190169.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_19/Issue_02/pdf/190169.pdf.

Goodman:1998:LPA

[868] Tim N. T. Goodman, Charles A. Mic-chelli, Giuseppe Rodriguez, and Sebas-tiano Seatzu. On the limiting pro-file arising from orthonormalizing shiftsof exponentially decaying functions.IMA Journal of Numerical Analysis,18(3):331–354, July 1998. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_18/Issue_03/180331.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_18/Issue_03/pdf/180331.pdf.

Goodsell:1997:MTM

[869] George Goodsell. A multigrid-typemethod for thin plate spline inter-polation on a circle. IMA Jour-nal of Numerical Analysis, 17(2):321–327, April 1997. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_17/Issue_02/170321.sgm.abs.html.

Gopalakrishnan:2012:SEE

[870] J. Gopalakrishnan and J. Guzman.A second elasticity element usingthe matrix bubble. IMA Journalof Numerical Analysis, 32(1):352–372,January 2012. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/32/1/352.full.pdf+html.

Gopalakrishnan:2020:MCM

[871] Jay Gopalakrishnan, Philip L. Led-erer, and Joachim Schoberl. Amass conserving mixed stress formu-lation for the Stokes equations. IMA

REFERENCES 155

Journal of Numerical Analysis, 40(3):1838–1874, July 2020. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/40/3/1838/5485875.

Gordon:2012:SSC

[872] Andrew D. Gordon and Cather-ine E. Powell. On solving stochas-tic collocation systems with alge-braic multigrid. IMA Journal ofNumerical Analysis, 32(3):1051–1070,July 2012. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/32/3/1051.full.pdf+html.

Gorynina:2019:TSA

[873] Olga Gorynina, Alexei Lozinski, andMarco Picasso. Time and space adap-tivity of the wave equation discretizedin time by a second-order scheme. IMAJournal of Numerical Analysis, 39(4):1672–1705, October 2019. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/39/4/1672/5058939.

Gould:1991:ALS

[874] Nicholas I. M. Gould. An algorithmfor large-scale quadratic programming.IMA Journal of Numerical Analysis,11(3):299–324, 1991. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Gould:2012:SDS

[875] Nicholas I. M. Gould and Daniel P.Robinson. A second-derivative SQPmethod with a ‘trust-region-free’ pre-

dictor step. IMA Journal of Nu-merical Analysis, 32(2):580–601, April2012. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://imajna.oxfordjournals.org/content/32/2/580.full.pdf+html.

Gould:1986:ADS

[876] Nicholas Ian Mark Gould. On the accu-rate determination of search directionsfor simple differentiable penalty func-tions. IMA Journal of Numerical Anal-ysis, 6(3):357–372, 1986. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Gourlay:1981:LCG

[877] A. R. Gourlay and J. Ll. Morris. Lin-ear combinations of generalized Crank–Nicolson schemes. IMA Journal of Nu-merical Analysis, 1(3):347–357, 1981.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Gout:1985:RWT

[878] J.-L. Gout. Rational Wachspress-typefinite elements on regular hexagons.IMA Journal of Numerical Analy-sis, 5(1):59–77, 1985. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Govaerts:1993:MBE

[879] W. Govaerts and J. D. Pryce. Mixedblock elimination for linear systemswith wider borders. IMA Journalof Numerical Analysis, 13(2):161–180,1993. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

REFERENCES 156

Gover:1985:ITM

[880] M. J. C. Gover and S. Barnett. In-version of Toeplitz matrices which arenot strongly nonsingular. IMA Journalof Numerical Analysis, 5(1):101–110,1985. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Graham:2005:FED

[881] I. G. Graham, W. Hackbusch, and S. A.Sauter. Finite elements on degener-ate meshes: inverse-type inequalitiesand applications. IMA Journal of Nu-merical Analysis, 25(2):379–407, April2005. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).URL http://imanum.oupjournals.org/cgi/content/abstract/25/2/379;http://imanum.oupjournals.org/cgi/reprint/25/2/379.

Graham:1993:SIA

[882] Ivan G. Graham and Kendall E. Atkin-son. On the Sloan iteration ap-plied to integral equations of the firstkind. IMA Journal of Numerical Anal-ysis, 13(1):29–41, 1993. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Graham:1985:IGV

[883] Ivan G. Graham, Stephen Joe, andIan H. Sloan. Iterated Galerkin versusiterated collocation for integral equa-tions of the second kind. IMA Journalof Numerical Analysis, 5(3):355–369,1985. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Graham:1989:NPI

[884] Ivan G. Graham and Wendy R.Mendes. Nystrom-product integration

for Wiener–Hopf equations with ap-plications to radiative transfer. IMAJournal of Numerical Analysis, 9(2):261–284, 1989. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic).

Grant:1983:DZL

[885] J. A. Grant and A. Ghiatis. De-termination of the zeros of a linearcombination of Chebyshev polynomi-als. IMA Journal of Numerical Anal-ysis, 3(2):193–206, 1983. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Graser:2019:DEE

[886] Carsten Graser and Tobias Kies. Dis-cretization error estimates for penaltyformulations of a linearized Canham–Helfrich-type energy. IMA Jour-nal of Numerical Analysis, 39(2):626–649, April 2019. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://academic.oup.com/imajna/article/39/2/626/4788734.

Graser:2013:TDA

[887] Carsten Graser, Ralf Kornhuber,and Uli Sack. Time discretiza-tions of anisotropic Allen–Cahn equa-tions. IMA Journal of Numeri-cal Analysis, 33(4):1226–1244, Oc-tober 2013. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/33/4/1226.full.pdf+html.

Graser:2015:NSN

[888] Carsten Graser, Ralf Kornhuber,and Uli Sack. Nonsmooth Schur–Newton methods for multicomponent

REFERENCES 157

Cahn–Hilliard systems. IMA Jour-nal of Numerical Analysis, 35(2):652–679, April 2015. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/35/2/652.

Graser:2019:TNN

[889] Carsten Graser and Oliver Sander.Truncated nonsmooth Newton multi-grid methods for block-separable min-imization problems. IMA Journalof Numerical Analysis, 39(1):454–481,January 25, 2019. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://academic.oup.com/imajna/article/39/1/454/5153291.

Gratton:2008:RTR

[890] Serge Gratton, Melodie Mouffe,Philippe L. Toint, and Melissa Weber-Mendonca. A recursive-trust-regionmethod for bound-constrained non-linear optimization. IMA Journalof Numerical Analysis, 28(4):827–861,October 2008. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/28/4/827.

Gratton:2018:CGR

[891] Serge Gratton, Clement W. Royer,Luıs N. Vicente, and Zaikun Zhang.Complexity and global rates of trust-region methods based on prob-abilistic models. IMA Journalof Numerical Analysis, 38(3):1579–1597, July 17, 2018. CODEN IJ-NADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://


Graves-Morris:1984:VVR

[892] P. R. Graves-Morris. Vector-valued ra-tional interpolants. II. IMA Journalof Numerical Analysis, 4(2):209–224,April 1984. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic).

Greenberg:1995:OTN

[893] Leon Greenberg and Marco Marletta.Oscillation theory and numerical so-lution of fourth-order Sturm–Liouvilleproblems. IMA Journal of Numer-ical Analysis, 15(3):319–356, 1995.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Gregory:1982:PRQ

[894] J. A. Gregory and R. Delbourgo. Piece-wise rational quadratic interpolation tomonotonic data. IMA Journal of Nu-merical Analysis, 2(2):123–130, April1982. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Griebel:2014:ABV

[895] Michael Griebel and Helmut Har-brecht. Approximation of bi-variatefunctions: singular value decomposi-tion versus sparse grids. IMA Jour-nal of Numerical Analysis, 34(1):28–54, January 2014. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/34/1/28.full.pdf+html.

Griebel:2019:SVD

[896] Michael Griebel and Helmut Har-brecht. Singular value decompo-

REFERENCES 158

sition versus sparse grids: refinedcomplexity estimates. IMA Journalof Numerical Analysis, 39(4):1652–1671, October 2019. CODEN IJ-NADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/39/4/1652/5048349.

Griewank:1983:CHP

[897] A. Griewank and G. Reddien. Thecalculation of Hopf points by a di-rect method. IMA Journal of Nu-merical Analysis, 3(3):295–303, 1983.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Griffiths:1988:SPB

[898] D. F. Griffiths and A. R. Mitchell.Stable periodic bifurcations of an ex-plicit discretization of a nonlinear par-tial differential equation in reaction dif-fusion. IMA Journal of NumericalAnalysis, 8(4):435–454, October 1988.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Griffiths:1992:SAN

[899] D. F. Griffiths, P. K. Sweby, andH. C. Yee. On spurious asymptoticnumerical solutions of explicit Runge–Kutta methods. IMA Journal of Nu-merical Analysis, 12(3):319–338, 1992.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic). IMAConference on Dynamics of Numericsand Numerics of Dynamics (Bristol,1990).

Griffiths:2010:ARM

[900] David F. Griffiths and Chus (J. M.)Sanz-Serna. Andrew Ronald Mitchell.IMA Journal of Numerical Analysis,

30(1):1–3, January 2010. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://imajna.oxfordjournals.org/cgi/reprint/30/1/1.

Grindrod:2010:PR

[901] Peter Grindrod, Desmond J. Higham,and Gabriela Kalna. Periodic re-ordering. IMA Journal of Numer-ical Analysis, 30(1):195–207, Jan-uary 2010. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/30/1/195; http://imajna.oxfordjournals.org/cgi/reprint/30/1/195.

Grohs:2016:NTR

[902] P. Grohs and S. Hosseini. Non-smooth trust region algorithms forlocally Lipschitz functions on Rie-mannian manifolds. IMA Journalof Numerical Analysis, 36(3):1167–1192, July 2016. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/36/3/1167.

Grohs:2009:SIM

[903] Philipp Grohs. Smoothness of in-terpolatory multivariate subdivisionin Lie groups. IMA Journal ofNumerical Analysis, 29(3):760–772,July 2009. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/29/3/760; http://imajna.oxfordjournals.org/cgi/reprint/29/3/760.

REFERENCES 159

Grossmann:1986:FGG

[904] Ch. Grossmann and H.-G. Roos. Feed-back grid generation via monotonediscretization for two-point boundary-value problems. IMA Journal of Nu-merical Analysis, 6(4):421–432, 1986.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Grote:2008:IPD

[905] Marcus J. Grote, Anna Schneebeli, andDominik Schotzau. Interior penaltydiscontinuous Galerkin method forMaxwell’s equations: optimal L2-norm error estimates. IMA Jour-nal of Numerical Analysis, 28(3):440–468, July 2008. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/28/3/440; http://imajna.oxfordjournals.org/cgi/reprint/28/3/440.

Grothaus:2016:NPD

[906] Martin Grothaus and Nicole Marheineke.On a nonlinear partial differential al-gebraic system arising in the tech-nical textile industry: analysis andnumerics. IMA Journal of Numer-ical Analysis, 36(4):1783–1803, Oc-tober 2016. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/36/4/1783.

Grune:2001:PAO

[907] Lars Grune. Persistence of attrac-tors for one-step discretization of or-dinary differential equations. IMAJournal of Numerical Analysis, 21(3):

751–767, July 2001. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_03/210751.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_03/pdf/210751.pdf.

Gu:2021:MLM

[908] Ran Gu and Qiang Du. A modified lim-ited memory steepest descent methodmotivated by an inexact super-linearconvergence rate analysis. IMA Jour-nal of Numerical Analysis, 41(1):247–270, January 2021. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://academic.oup.com/imajna/article/41/1/247/5819219.

Guan:2012:ACS

[909] Qingguang Guan, Ran Zhang, andYongkui Zou. Analysis of colloca-tion solutions for nonstandard Volterraintegral equations. IMA Journal ofNumerical Analysis, 32(4):1755–1785,October 2012. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/32/4/1755.full.pdf+html.

Gudi:2011:IPM

[910] Thirupathi Gudi and Michael Neilan.An interior penalty method for a sixth-order elliptic equation. IMA Jour-nal of Numerical Analysis, 31(4):1734–1753, October 2011. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/31/4/1734.full.pdf+html.

REFERENCES 160

Guermond:2001:SSG

[911] J.-L. Guermond. Subgrid stabiliza-tion of Galerkin approximations of lin-ear monotone operators. IMA Jour-nal of Numerical Analysis, 21(1):165–197, January 2001. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_01/210165.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_01/pdf/210165.pdf.

Guermond:2009:LCF

[912] J.-L. Guermond. The LBB con-dition in fractional Sobolev spacesand applications. IMA Journalof Numerical Analysis, 29(3):790–805, July 2009. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/29/3/790; http://imajna.oxfordjournals.org/cgi/reprint/29/3/790.

Guglielmi:2003:SOL

[913] N. Guglielmi and M. Zennaro. Stabil-ity of one-leg Θ-methods for the vari-able coefficient pantograph equationon the quasi-geometric mesh. IMAJournal of Numerical Analysis, 23(3):421–438, July 2003. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_23/Issue_03/drg005.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_23/Issue_03/pdf/drg005.pdf.

Guglielmi:1998:DDS

[914] Nicola Guglielmi. Delay dependentstability regions of Θ-methods for

delay differential equations. IMAJournal of Numerical Analysis, 18(3):399–418, July 1998. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_18/Issue_03/180399.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_18/Issue_03/pdf/180399.pdf.

Guglielmi:2006:SPC

[915] Nicola Guglielmi. Short proofs anda counterexample for analytical andnumerical stability of delay equationswith infinite memory. IMA Jour-nal of Numerical Analysis, 26(1):60–77, January 2006. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imanum.oxfordjournals.org/cgi/content/abstract/26/1/60; http://imanum.oxfordjournals.org/cgi/reprint/26/1/60.

Guglielmi:2001:GPN

[916] Nicola Guglielmi and Ernst Hairer.Geometric proofs of numerical stabil-ity for delay equations. IMA Jour-nal of Numerical Analysis, 21(1):439–450, January 2001. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_01/210439abs.pdf; http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_01/pdf/210439.pdf.

Guglielmi:2015:ARS

[917] Nicola Guglielmi and Manuela Manetta.Approximating real stability radii.IMA Journal of Numerical Analysis,35(3):1402–1425, July 2015. CODENIJNADH. ISSN 0272-4979 (print),

REFERENCES 161

1464-3642 (electronic). URL http://imajna.oxfordjournals.org/content/35/3/1402.

Guillen-Gonzalez:2011:NEE

[918] F. Guillen-Gonzalez and M. V.Redondo-Neble. New error esti-mates for a viscosity-splitting schemein time for the three-dimensionalNavier–Stokes equations. IMA Jour-nal of Numerical Analysis, 31(2):556–579, April 2011. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/31/2/556.full.pdf+html.

Gunzburger:2020:LRE

[919] Max Gunzburger, Traian Iliescu, andMichael Schneier. A Leray regular-ized ensemble-proper orthogonal de-composition method for parameter-ized convection-dominated flows. IMAJournal of Numerical Analysis, 40(2):886–913, April 2020. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/40/2/886/5299776.

Gunzburger:2019:EAS

[920] Max Gunzburger, Nan Jiang, and ZhuWang. An efficient algorithm for simu-lating ensembles of parameterized flowproblems. IMA Journal of NumericalAnalysis, 39(3):1180–1205, July 2019.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic). URLhttp://academic.oup.com/imajna/article/39/3/1180/5001156.

Guo:1985:SMS

[921] Ben Yu Guo and V. S. Manoranjan. Aspectral method for solving the RLW

equation. IMA Journal of NumericalAnalysis, 5(3):307–318, 1985. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic).

Guo:2003:QME

[922] Chun-Hua Guo. On a quadratic matrixequation associated with an M -matrix.IMA Journal of Numerical Analysis, 23(1):11–27, January 2003. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_23/Issue_01/230011.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_23/Issue_01/pdf/230011.pdf.

Guo:2015:PED

[923] Chun-Hua Guo, Changli Liu, andJungong Xue. Performance enhance-ment of doubling algorithms for aclass of complex nonsymmetric alge-braic Riccati equations. IMA Jour-nal of Numerical Analysis, 35(1):270–288, January 2015. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/35/1/270.

Guo:2018:SPP

[924] Hailong Guo, Xu Yang, and ZhiminZhang. Superconvergence of par-tially penalized immersed finite el-ement methods. IMA Journal ofNumerical Analysis, 38(4):2123–2144,October 16, 2018. CODEN IJ-NADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/38/4/2123/4108202.

REFERENCES 162

Guo:2019:GIF

[925] Ruchi Guo and Tao Lin. A group ofimmersed finite-element spaces for el-liptic interface problems. IMA Journalof Numerical Analysis, 39(1):482–511,January 25, 2019. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://academic.oup.com/imajna/article/39/1/482/4742251.

Guo:1997:PEE

[926] Wen Guo and Martin Stynes. Point-wise error estimates for a streamlinediffusion scheme on a Shishkin mesh fora convection-diffusion problem. IMAJournal of Numerical Analysis, 17(1):29–59, January 1997. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_17/Issue_01/170029.sgm.abs.html.

Gustafsson:1984:PIM

[927] Ivar Gustafsson. A preconditioned it-erative method for the solution of thebiharmonic problem. IMA Journal ofNumerical Analysis, 4(1):55–67, Jan-uary 1984. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic).

Gutierrez:2000:NMU

[928] J. M. Gutierrez and M. A. Hernan-dez. Newton’s method under weakKantorovich conditions. IMA Jour-nal of Numerical Analysis, 20(4):521–532, October 2000. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_20/Issue_04/200521abs.pdf; http:/

/www3.oup.co.uk/imanum/hdb/Volume_20/Issue_04/pdf/200521.pdf.

Gutknecht:2011:HWA

[929] Martin H. Gutknecht and Beres-ford N. Parlett. From qd to LR,or, how were the qd and LR al-gorithms discovered? IMA Jour-nal of Numerical Analysis, 31(3):741–754, July 2011. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/31/3/741.full.pdf+html.

Guttel:2018:RDC

[930] Stefan Guttel and John W. Pearson. Arational deferred correction approachto parabolic optimal control problems.IMA Journal of Numerical Analysis,38(4):1861–1892, October 16, 2018.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic). URLhttp://academic.oup.com/imajna/article/38/4/1861/4372128.

Guzman:2014:CDF

[931] Johnny Guzman and Michael Neilan.Conforming and divergence-free Stokeselements in three dimensions. IMAJournal of Numerical Analysis, 34(4):1489–1508, October 2014. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://imajna.oxfordjournals.org/content/34/4/1489.

Guzman:2017:CDM

[932] Johnny Guzman, Chi-Wang Shu, andFilander A. Sequeira. H(div) con-forming and DG methods for incom-pressible Euler’s equations. IMA Jour-nal of Numerical Analysis, 37(4):1733–

REFERENCES 163

1771, October 1, 2017. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL https://academic.oup.com/imajna/article/37/4/1733/2670304.

Hackbusch:2009:CFL

[933] W. Hackbusch. Convolution ofhp functions on locally refinedgrids. IMA Journal of Numer-ical Analysis, 29(4):960–985, Oc-tober 2009. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/29/4/960; http://imajna.oxfordjournals.org/cgi/reprint/29/4/960.

Hackbusch:2009:SCQ

[934] W. Hackbusch, W. Kress, and S. A.Sauter. Sparse convolution quadraturefor time domain boundary integral for-mulations of the wave equation. IMAJournal of Numerical Analysis, 29(1):158–179, January 2009. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Hager:2017:LCA

[935] William W. Hager, Hongyan Hou, andAnil V. Rao. Lebesgue constants aris-ing in a class of collocation meth-ods. IMA Journal of Numerical Analy-sis, 37(4):1884–1901, October 1, 2017.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic). URLhttps://academic.oup.com/imajna/article/37/4/1884/2739356.

Hairer:1982:OSM

[936] E. Hairer. A one-step method oforder 10 for y′′ = f(x, y). IMA

Journal of Numerical Analysis, 2(1):83–94, January 1982. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Hairer:2017:BSS

[937] Ernst Hairer and Arieh Iserles. Banded,stable, skew-symmetric differentiationmatrices of high order. IMA Jour-nal of Numerical Analysis, 37(3):1087–1103, July 1, 2017. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL https://academic.oup.com/imajna/article/37/3/1087/2670025/Banded-stable-skew-symmetric-differentiation.

Hairer:2014:EDI

[938] Ernst Hairer and Christian Lubich.Energy-diminishing integration of gra-dient systems. IMA Journal ofNumerical Analysis, 34(2):452–461,April 2014. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/34/2/452.full.pdf+html.

Hairer:2013:CSS

[939] Ernst Hairer and Christophe J.Zbinden. On conjugate symplecticityof B-series integrators. IMA Jour-nal of Numerical Analysis, 33(1):57–79, January 2013. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/33/1/57.full.pdf+html.

Hajian:2019:TVD

[940] Soheil Hajian, Michael Hintermuller,and Stefan Ulbrich. Total variation

REFERENCES 164

diminishing schemes in optimal con-trol of scalar conservation laws. IMAJournal of Numerical Analysis, 39(1):105–140, January 25, 2019. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/39/1/105/4742250.

Hale:2019:USM

[941] Nicholas Hale. An ultraspherical spec-tral method for linear Fredholm andVolterra integro-differential equationsof convolution type. IMA Journalof Numerical Analysis, 39(4):1727–1746, October 2019. CODEN IJ-NADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/39/4/1727/5053817.

Hale:2016:FFB

[942] Nicholas Hale and Alex Townsend.A fast FFT-based discrete Legen-dre transform. IMA Journal ofNumerical Analysis, 36(4):1670–1684,October 2016. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/36/4/1670.

Hall:1992:AMCb

[943] C. A. Hall and T. A. Porsching. Ap-proximation methods in the computernumerically controlled fabrication ofoptical surfaces. I. Finite-dimensionalmaterial removal profile spaces. IMAJournal of Numerical Analysis, 12(1):67–84, 1992. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic).

Hall:1992:AMCa

[944] C. A. Hall and T. A. Porsching.Approximation methods in the com-puter numerically controlled fabrica-tion of optical surfaces. II. Mollifica-tions. IMA Journal of Numerical Anal-ysis, 12(2):259–269, 1992. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Hall:1988:ASS

[945] G. Hall and Desmond Higham. Anal-ysis of stepsize selection schemes forRunge–Kutta codes. IMA Journalof Numerical Analysis, 8(3):305–310,1988. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Hall:1981:SAT

[946] G. Hall and M. B. Suleiman. Stabil-ity of Adams-type formulae for second-order ordinary differential equations.IMA Journal of Numerical Analysis,1(4):427–438, 1981. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Hammarling:1982:NSS

[947] S. J. Hammarling. Numerical solu-tion of the stable, nonnegative definiteLyapunov equation. IMA Journal ofNumerical Analysis, 2(3):303–323, July1982. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Han:1992:VPF

[948] Wei Min Han. The p-version penalty fi-nite element method. IMA Journal ofNumerical Analysis, 12(1):47–56, 1992.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

REFERENCES 165

Handscomb:1984:SRI

[949] D. C. Handscomb. Spline represen-tation of incompressible flow. IMAJournal of Numerical Analysis, 4(4):491–502, October 1984. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Hansbo:2017:SFE

[950] Peter Hansbo and Mats G. Larson.A stabilized finite element method forthe Darcy problem on surfaces. IMAJournal of Numerical Analysis, 37(3):1274–1299, July 1, 2017. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL https://academic.oup.com/imajna/article/37/3/1274/2670035/A-stabilized-finite-element-method-for-the-Darcy.

Hansbo:2020:AFE

[951] Peter Hansbo, Mats G. Larson, andKarl Larsson. Analysis of finite ele-ment methods for vector Laplacians onsurfaces. IMA Journal of NumericalAnalysis, 40(3):1652–1701, July 2020.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic). URLhttp://academic.oup.com/imajna/article/40/3/1652/5435894.

Hansen:2017:ADD

[952] Eskil Hansen and Erik Henningsson.Additive domain decomposition oper-ator splittings-convergence analyses ina dissipative framework. IMA Jour-nal of Numerical Analysis, 37(3):1496–1519, July 1, 2017. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL https://academic.oup.com/imajna/article/37/3/1496/2670039/Additive-domain-decomposition-operator-splittings.

Hansen:2010:DSQ

[953] Eskil Hansen and Alexander Oster-mann. Dimension splitting for quasi-linear parabolic equations. IMA Jour-nal of Numerical Analysis, 30(3):857–869, July 2010. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/30/3/857; http://imajna.oxfordjournals.org/cgi/reprint/30/3/857.

Hansen:2002:SCM

[954] Olaf Hansen. On the stability of theCollocation method for the Radios-ity equation on polyhedral domains.IMA Journal of Numerical Analysis,22(3):463–479, July 2002. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_22/Issue_03/220463.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_22/Issue_03/pdf/220463.pdf.

Hansen:2009:NHO

[955] Olaf Hansen, Kendall Atkinson, andDavid Chien. On the norm of the hy-perinterpolation operator on the unitdisc and its use for the solution of thenonlinear Poisson equation. IMA Jour-nal of Numerical Analysis, 29(2):257–283, April 2009. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/29/2/257; http://imajna.oxfordjournals.org/cgi/reprint/29/2/257.

Haque:1987:CSO

[956] S. Haque. Convergence of the succes-

REFERENCES 166

sive overrelaxation method. IMA Jour-nal of Numerical Analysis, 7(3):307–311, 1987. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic).

Haut:2016:HOT

[957] T. S. Haut, T. Babb, P. G. Martins-son, and B. A. Wingate. A high-order time-parallel scheme for solvingwave propagation problems via the di-rect construction of an approximatetime-evolution operator. IMA Jour-nal of Numerical Analysis, 36(2):688–716, April 2016. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/36/2/688.

He:2020:OPA

[958] Bingsheng He, Feng Ma, and XiaomingYuan. Optimal proximal augmentedLagrangian method and its applica-tion to full Jacobian splitting for multi-block separable convex minimizationproblems. IMA Journal of NumericalAnalysis, 40(2):1188–1216, April 2020.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic). URLhttp://academic.oup.com/imajna/article/40/2/1188/5272537.

He:2015:SMS

[959] Bingsheng He, Min Tao, and XiaomingYuan. A splitting method for separa-ble convex programming. IMA Jour-nal of Numerical Analysis, 35(1):394–426, January 2015. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/35/1/394.

He:1997:ACN

[960] Chunyang He and G. A. Wat-son. An algorithm for computingthe numerical radius. IMA Jour-nal of Numerical Analysis, 17(3):329–342, July 1997. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_17/Issue_03/170329.sgm.abs.html.

He:2003:FDS

[961] Journal Yinnian He. A fully dis-crete stabilized finite-element methodfor the time-dependent Navier–Stokesproblem. IMA Journal of Nu-merical Analysis, 23(4):665–691, Oc-tober 2003. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_23/Issue_04/230665.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_23/Issue_04/pdf/230665.pdf.

He:2015:UCE

[962] Yinnian He. Unconditional conver-gence of the Euler semi-implicit schemefor the three-dimensional incompress-ible MHD equations. IMA Jour-nal of Numerical Analysis, 35(2):767–801, April 2015. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/35/2/767.

Heeren:2019:VTD

[963] Behrend Heeren, Martin Rumpf, andBenedikt Wirth. Variational time dis-cretization of Riemannian splines. IMAJournal of Numerical Analysis, 39(1):61–104, January 25, 2019. CODEN

REFERENCES 167


Hegland:1998:WAP

[964] Markus Hegland and Michael R. Os-borne. Wrap-around partitioning forblock bidiagonal linear systems. IMAJournal of Numerical Analysis, 18(3):373–383, July 1998. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_18/Issue_03/180373.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_18/Issue_03/pdf/180373.pdf.

Heine:2006:CFS

[965] Claus-Justus Heine. Computations ofform and stability of rotating dropswith finite elements. IMA Journalof Numerical Analysis, 26(4):723–751,October 2006. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/26/4/723; http://imajna.oxfordjournals.org/cgi/reprint/26/4/723.

Heinrich:2003:NMF

[966] B. Heinrich and S. Nicaise. The Nitschemortar finite-element method for trans-mission problems with singularities.IMA Journal of Numerical Analysis, 23(2):331–358, April 2003. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_23/Issue_02/230331.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_23/Issue_02/pdf/230331.pdf.

Heinrich:2006:FFE

[967] Bernd Heinrich and Beate Jung. TheFourier-finite-element method withNitsche mortaring. IMA Journalof Numerical Analysis, 26(3):541–562, July 2006. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://comjnl.oxfordjournals.org/cgi/content/abstract/26/3/541; http://comjnl.oxfordjournals.org/cgi/reprint/26/3/541.

Hell:2015:MDS

[968] Tobias Hell, Alexander Ostermann,and Michael Sandbichler. Modifica-tion of dimension-splitting methods-overcoming the order reduction dueto corner singularities. IMA Jour-nal of Numerical Analysis, 35(3):1078–1091, July 2015. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/35/3/1078.

Hemker:2000:USH

[969] P. W. Hemker, G. I. Shishkin, and L. P.Shishkina. ε-uniform schemes withhigh-order time-accuracy for parabolicsingular perturbation problems. IMAJournal of Numerical Analysis, 20(1):99–121, January 2000. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_20/Issue_01/200099.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_20/Issue_01/pdf/200099.pdf.

Henke:2014:BCS

[970] Christian Henke and Lutz Anger-mann. L∞(L∞)-boundedness and con-

REFERENCES 168

vergence of DG(p) solutions for non-linear conservation laws with bound-ary conditions. IMA Journal ofNumerical Analysis, 34(4):1598–1624,October 2014. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/34/4/1598. See erratum [971].

Henke:2015:EPB

[971] Christian Henke and Lutz Anger-mann. Erratum to the paper“L∞(L∞)-boundedness and conver-gence of DG(p)-solutions for nonlin-ear conservation laws with bound-ary conditions”. IMA Journal ofNumerical Analysis, 35(3):1483–1485,July 2015. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/35/3/1483. See [970].

Herbin:2020:CCP

[972] Raphaele Herbin, Jean-Claude Latche,and Chady Zaza. A cell-centredpressure-correction scheme for thecompressible Euler equations. IMAJournal of Numerical Analysis, 40(3):1792–1837, July 2020. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/40/3/1792/5513045.

Herbin:2001:FVA

[973] Raphaele Herbin and EmmanuelleMarchand. Finite volume ap-proximation of a class of varia-tional inequalities. IMA Journalof Numerical Analysis, 21(2):553–585, April 2001. CODEN IJNADH.


Herbst:1981:CEE

[974] B. M. Herbst and J. F. Botha. Com-putable error estimates for the col-location method applied to two-pointboundary value problems. IMA Jour-nal of Numerical Analysis, 1(4):489–497, 1981. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic).

Hernandez:2009:AVM

[975] Erwin Hernandez, Enrique Otarola,Rodolfo Rodrıguez, and Frank San-hueza. Approximation of the vibra-tion modes of a Timoshenko curvedrod of arbitrary geometry. IMA Jour-nal of Numerical Analysis, 29(1):180–207, January 2009. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Herr:2017:TTI

[976] Sebastian Herr and Katharina Schratz.Trigonometric time integrators forthe Zakharov system. IMA Jour-nal of Numerical Analysis, 37(4):2042–2066, October 1, 2017. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL https://academic.oup.com/imajna/article/37/4/2042/2670310.

Heuer:2001:ASM

[977] Norbert Heuer and Ernst P. Stephan.An additive Schwarz method for the

REFERENCES 169

h–p version of the boundary ele-ment method for hypersingular in-tegral equations in <. IMA Jour-nal of Numerical Analysis, 21(1):265–283, January 2001. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_01/210265abs.pdf; http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_01/pdf/210265.pdf.

Hewett:2015:FIB

[978] D. P. Hewett, S. Langdon, andS. N. Chandler-Wilde. A frequency-independent boundary element methodfor scattering by two-dimensionalscreens and apertures. IMA Jour-nal of Numerical Analysis, 35(4):1698–1728, October 2015. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/35/4/1698.

Higham:1989:AEK

[979] Desmond J. Higham. Analysis of theEnright–Kamel partitioning methodfor stiff ordinary differential equa-tions. IMA Journal of Numerical Anal-ysis, 9(1):1–14, 1989. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Higham:1991:GEV

[980] Desmond J. Higham. Global errorversus tolerance for explicit Runge–Kutta methods. IMA Journal of Nu-merical Analysis, 11(4):457–480, 1991.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Higham:2005:SRR

[981] Desmond J. Higham. Spectral re-ordering of a range-dependent weightedrandom graph. IMA Journal ofNumerical Analysis, 25(3):443–457,July 2005. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imanum.oxfordjournals.org/cgi/content/abstract/25/3/443; http://imanum.oxfordjournals.org/cgi/reprint/25/3/443.

Higham:1988:FSV

[982] Nicholas J. Higham. Fast solutionof Vandermonde-like systems involv-ing orthogonal polynomials. IMAJournal of Numerical Analysis, 8(4):473–486, October 1988. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Higham:1997:IRL

[983] Nicholas J. Higham. Iterative re-finement for linear systems and LA-PACK. IMA Journal of Numer-ical Analysis, 17(4):495–509, Oc-tober 1997. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_17/Issue_04/170495.sgm.abs.html. Preprintpublished as Numerical Analysis Re-port 277, Manchester Centre for Com-putational Mathematics, Manchester,England, and as LAPACK WorkingNote 104.

Higham:2002:CNC

[984] Nicholas J. Higham. Computing thenearest correlation matrix—a prob-lem from finance. IMA Journal

REFERENCES 170

of Numerical Analysis, 22(3):329–343, July 2002. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_22/Issue_03/220329.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_22/Issue_03/pdf/220329.pdf.

Higham:2004:NSB

[985] Nicholas J. Higham. The numericalstability of barycentric Lagrange in-terpolation. IMA Journal of Numer-ical Analysis, 24(4):547–556, October2004. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).URL http://imanum.oupjournals.org/cgi/content/abstract/24/4/547;http://imanum.oupjournals.org/cgi/reprint/24/4/547.

Higham:2000:NAQ

[986] Nicholas J. Higham and Hyun-MinKim. Numerical analysis of a quadraticmatrix equation. IMA Journal ofNumerical Analysis, 20(4):499–519,October 2000. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_20/Issue_04/200499abs.pdf; http://www3.oup.co.uk/imanum/hdb/Volume_20/Issue_04/pdf/200499.pdf.

Hill:1996:SCD

[987] A. T. Hill and E. Suli. Set convergencefor discretizations of the attractor.IMA Journal of Numerical Analysis, 16(2):289–296, April 1996. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_16/Issue_02/160289.sgm.abs.html.

Hill:2005:MAL

[988] Adrian T. Hill. Multistep approx-imation of linear sectorial evolutionequations. IMA Journal of Numer-ical Analysis, 25(1):45–56, January2005. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).URL http://imanum.oupjournals.org/cgi/content/abstract/25/1/45;http://imanum.oupjournals.org/


Hill:2011:EST

[989] Adrian T. Hill and Achim Ilch-mann. Exponential stability of time-varying linear systems. IMA Jour-nal of Numerical Analysis, 31(3):865–885, July 2011. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/31/3/865.full.pdf+html.

Hill:2000:AGA

[990] Adrian T. Hill and Endre Suli. Ap-proximation of the global attrac-tor for the incompressible Navier–Stokes equations. IMA Journal ofNumerical Analysis, 20(4):633–667,October 2000. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_20/Issue_04/200633abs.pdf; http://www3.oup.co.uk/imanum/hdb/Volume_20/Issue_04/pdf/200633.pdf.

Hill:1986:NDF

[991] M. G. Hill and D. Porter. The numeri-cal determination of fundamental solu-tions of elliptic equations. IMA Journalof Numerical Analysis, 6(4):405–420,

REFERENCES 171


Hipp:2019:UEA

[992] David Hipp, Marlis Hochbruck, andChristian Stohrer. Unified error analy-sis for nonconforming space discretiza-tions of wave-type equations. IMAJournal of Numerical Analysis, 39(3):1206–1245, July 2019. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/39/3/1206/5055760.

Hipp:2021:FEE

[993] David Hipp and Balazs Kovacs. Fi-nite element error analysis of waveequations with dynamic boundary con-ditions: L2 estimates. IMA Jour-nal of Numerical Analysis, 41(1):638–728, January 2021. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://academic.oup.com/imajna/article/41/1/638/5818995.

Hirn:2012:FEA

[994] Adrian Hirn, Martin Lanzendorfer,and Jan Stebel. Finite element ap-proximation of flow of fluids withshear-rate- and pressure-dependent vis-cosity. IMA Journal of Numeri-cal Analysis, 32(4):1604–1634, Oc-tober 2012. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/32/4/1604.full.pdf+html.

Hochmuth:2001:LBE

[995] Reinhard Hochmuth. A localizedboundary element method for the

floating body problem. IMA Jour-nal of Numerical Analysis, 21(4):799–816, October 2001. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_04/210799.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_04/pdf/210799.pdf.

Hocking:2012:CFM

[996] L. Robert Hocking and Chen Greif.Closed-form multigrid smoothingfactors for lexicographic Gauss–Seidel. IMA Journal of Numer-ical Analysis, 32(3):795–812, July2012. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://imajna.oxfordjournals.org/content/32/3/795.full.pdf+html.

Hoffmann:1996:PSV

[997] K.-H. Hoffmann and Jun Zou. Par-allel solution of variational inequalityproblems with nonlinear source terms.IMA Journal of Numerical Analysis, 16(1):31–45, January 1996. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_16/Issue_01/160031.sgm.abs.html.

Hofmanova:2020:REI

[998] Martina Hofmanova, Marvin Knoller,and Katharina Schratz. Randomizedexponential integrators for modulatednonlinear Schrodinger equations. IMAJournal of Numerical Analysis, 40(4):2143–2162, October 2020. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://

REFERENCES 172


Holden:2009:CFD

[999] H. Holden, K. H. Karlsen, andN. H. Risebro. A convergent finite-difference method for a nonlinear vari-ational wave equation. IMA Jour-nal of Numerical Analysis, 29(3):539–572, July 2009. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/29/3/539; http://imajna.oxfordjournals.org/cgi/reprint/29/3/539.

Holden:2015:CFD

[1000] Helge Holden, Ujjwal Koley, andNils Henrik Risebro. Convergenceof a fully discrete finite differencescheme for the Korteweg–de Vriesequation. IMA Journal of Numer-ical Analysis, 35(3):1047–1077, July2015. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://imajna.oxfordjournals.org/content/35/3/1047.

Hopkins:1989:NEC

[1001] H. H. Hopkins. Numerical evaluation ofa class of double integrals of oscillatoryfunctions. IMA Journal of NumericalAnalysis, 9(1):61–80, 1989. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Hoppe:1993:GCM

[1002] Ronald H. W. Hoppe. A globally con-vergent multi-grid algorithm for mov-ing boundary problems of two-phaseStefan type. IMA Journal of Nu-merical Analysis, 13(2):235–253, 1993.


Hosea:1993:GEI

[1003] M. E. Hosea and L. F. Shampine.Global extrapolation integrators forsolving Sturm–Liouville problems byshooting. IMA Journal of Numer-ical Analysis, 13(3):397–411, 1993.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Hosek:2019:CNM

[1004] Radim Hosek and Bangwei She.Convergent numerical method forthe Navier–Stokes–Fourier system: astabilized scheme. IMA Journalof Numerical Analysis, 39(4):2045–2068, October 2019. CODEN IJ-NADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/39/4/2045/5075403.

Houbak:1985:DRT

[1005] Niels Houbak, Syvert P. Nørsett, andPer Grove Thomsen. Displacementor residual test in the applicationof implicit methods for stiff prob-lems. IMA Journal of Numerical Anal-ysis, 5(3):297–305, 1985. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Hough:1981:EFC

[1006] D. M. Hough. Exact formulae for cer-tain integrals arising in potential the-ory. IMA Journal of Numerical Anal-ysis, 1(2):223–228, 1981. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

REFERENCES 173

Houston:2007:PEI

[1007] Paul Houston, Ilaria Perugia, and Do-minik Schotzau. An a posteriori er-ror indicator for discontinuous Galerkindiscretizations of H (curl)-elliptic par-tial differential equations. IMA Jour-nal of Numerical Analysis, 27(1):122–150, January 2007. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/27/1/122; http://imajna.oxfordjournals.org/cgi/reprint/27/1/122.

Houston:2005:DGF

[1008] Paul Houston, Janice Robson, and En-dre Suli. Discontinuous Galerkin fi-nite element approximation of quasi-linear elliptic boundary value prob-lems. I: the scalar case. IMA Jour-nal of Numerical Analysis, 25(4):726–749, October 2005. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imanum.oxfordjournals.org/cgi/reprint/25/4/726.

Houston:2008:PEA

[1009] Paul Houston, Endre Suli, andThomas P. Wihler. A posteriori er-ror analysis of hp version discontin-uous Galerkin finite-element meth-ods for second-order quasi-linear el-liptic PDEs. IMA Journal of Nu-merical Analysis, 28(2):245–273, April2008. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/28/2/245; http://imajna.oxfordjournals.org/cgi/reprint/28/2/245.

Houston:2012:SOE

[1010] Paul Houston and Thomas P. Wihler.Second-order elliptic PDEs with dis-continuous boundary data. IMA Jour-nal of Numerical Analysis, 32(1):48–74, January 2012. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/32/1/48.full.pdf+html.

Hovhannisyan:2010:SFA

[1011] Nune Hovhannisyan and SiegfriedMuller. On the stability of fullyadaptive multiscale schemes for con-servation laws using approximateflux and source reconstruction strate-gies. IMA Journal of Numeri-cal Analysis, 30(4):1256–1295, Oc-tober 2010. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/30/4/1256.full.pdf+html.

Hrycak:2020:ELP

[1012] Tomasz Hrycak and Sebastian Schmutzhard.Evaluation of Legendre polynomialsby a three-term recurrence in floating-point arithmetic. IMA Journal of Nu-merical Analysis, 40(1):587–605, Jan-uary 2020. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://academic.oup.com/imajna/article/40/1/587/5162990.

Hsiao:2017:BCB

[1013] George C. Hsiao, Tonatiuh Sanchez-Vizuet, and Francisco-Javier Sayas.Boundary and coupled boundary-finiteelement methods for transient wave-structure interaction. IMA Journal

REFERENCES 174

of Numerical Analysis, 37(1):237–265,January 1, 2017. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL https://academic.oup.com/imajna/article/37/1/237/2669945/Boundary-and-coupled-boundary-finite-element.

Hsiao:2019:TDW

[1014] George C. Hsiao, Tonatiuh Sanchez-Vizuet, Francisco-Javier Sayas, andRichard J. Weinacht. A time-dependent wave-thermoelastic solid in-teraction. IMA Journal of NumericalAnalysis, 39(2):924–956, April 2019.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic). URLhttp://academic.oup.com/imajna/article/39/2/924/4964961.

Hu:1999:SRK

[1015] Guang-Da Hu, Guang-Di Hu, andS. A. Meguid. Stability of Runge–Kutta methods for delay differentialsystems with multiple delays. IMAJournal of Numerical Analysis, 19(3):349–356, July 1999. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_19/Issue_03/190349.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_19/Issue_03/pdf/190349.pdf.

Hu:2019:TLO

[1016] Jun Hu and Mira Schedensack. Twolow-order nonconforming finite elementmethods for the Stokes flow in three di-mensions. IMA Journal of NumericalAnalysis, 39(3):1447–1470, July 2019.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic). URLhttp://academic.oup.com/imajna/article/39/3/1447/4975386.

Hu:1998:GMT

[1017] Qiya Hu. Geometric meshes andtheir application to Volterra integro-differential equations with singular-ities. IMA Journal of Numer-ical Analysis, 18(1):151–164, Jan-uary 1998. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_18/Issue_01/180151.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_18/Issue_01/pdf/180151.pdf.

Hu:2004:PPS

[1018] Qiya Hu. Preconditioning Poincare–Steklov operators arising from do-main decompositions with mortar mul-tipliers. IMA Journal of Numeri-cal Analysis, 24(4):643–669, October2004. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).URL http://imanum.oupjournals.org/cgi/content/abstract/24/4/643;http://imanum.oupjournals.org/


Hu:1993:ADR

[1019] Yingkang Hu. An algorithm for datareduction using splines with free knots.IMA Journal of Numerical Analysis,13(3):365–381, 1993. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Huang:1981:CAO

[1020] C. P. Huang. On the convergence ofthe QR algorithm with origin shifts fornormal matrices. IMA Journal of Nu-merical Analysis, 1(1):127–133, 1981.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

REFERENCES 175

Huang:2010:CFF

[1021] C.-S. Huang, C.-H. Hung, and SongWang. On convergence of a fittedfinite-volume method for the valua-tion of options on assets with stochas-tic volatilities. IMA Journal ofNumerical Analysis, 30(4):1101–1120,October 2010. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/30/4/1101.full.pdf+html.

Huang:2020:NAN

[1022] Can Huang, Kim Ngan Le, and MartinStynes. A new analysis of a numericalmethod for the time-fractional Fokker–Planck equation with general forcing.IMA Journal of Numerical Analysis,40(2):1217–1240, April 2020. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/40/2/1217/5316762.

Huang:2017:SGM

[1023] Can Huang and Martin Stynes. Spec-tral Galerkin methods for a weaklysingular Volterra integral equationof the second kind. IMA Journalof Numerical Analysis, 37(3):1411–1436, July 1, 2017. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL https://academic.oup.com/imajna/article/37/3/1411/2670015/Spectral-Galerkin-methods-for-a-weakly-singular.

Huang:2000:DRK

[1024] Chengming Huang. Dissipativity ofRunge–Kutta methods for dynami-cal systems with delays. IMA Jour-nal of Numerical Analysis, 20(1):153–

166, January 2000. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_20/Issue_01/200153.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_20/Issue_01/pdf/200153.pdf.

Huang:2009:SAG

[1025] Chengming Huang. Stability anal-ysis of general linear methods forthe nonautonomous pantograph equa-tion. IMA Journal of Numeri-cal Analysis, 29(2):444–465, April2009. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/29/2/444; http://imajna.oxfordjournals.org/cgi/reprint/29/2/444.

Huang:1999:CAI

[1026] Huaxiong Huang and Zhilin Li. Con-vergence analysis of the immersed in-terface method. IMA Journal ofNumerical Analysis, 19(4):583–608,October 1999. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_19/Issue_04/190583.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_19/Issue_04/pdf/190583.pdf.

Huang:2002:MEM

[1027] Jianguo Huang and Jun Zou. A mortarelement method for elliptic problemswith discontinuous coefficients. IMAJournal of Numerical Analysis, 22(4):549–576, October 2002. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.

REFERENCES 176


Huang:1993:NPM

[1028] Weizhang Huang and David M. Sloan.A new pseudospectral method with up-wind features. IMA Journal of Nu-merical Analysis, 13(3):413–430, 1993.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Huang:2012:APM

[1029] Y. Huang and P. A. Forsyth. Anal-ysis of a penalty method for pric-ing a guaranteed minimum withdrawalbenefit (GMWB). IMA Journal ofNumerical Analysis, 32(1):320–351,January 2012. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/32/1/320.full.pdf+html.

Huang:2005:GLL

[1030] Zheng-Hai Huang. The global lin-ear and local quadratic convergenceof a non-interior continuation algo-rithm for the LCP. IMA Journalof Numerical Analysis, 25(4):670–684,October 2005. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imanum.oxfordjournals.org/cgi/reprint/25/4/670.

Huhtanen:2010:RAU

[1031] Marko Huhtanen. Rational ap-proximation of the unitary expo-nential. IMA Journal of Numer-ical Analysis, 30(2):512–524, April2010. CODEN IJNADH. ISSN


Humphries:1993:SSN

[1032] A. R. Humphries. Spurious solu-tions of numerical methods for initialvalue problems. IMA Journal of Nu-merical Analysis, 13(2):263–290, 1993.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Hundsdorfer:1994:EGL

[1033] Willem Hundsdorfer. On the error ofgeneral linear methods for stiff dissipa-tive differential equations. IMA Jour-nal of Numerical Analysis, 14(3):363–379, 1994. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic).

Hundsdorfer:2004:NFL

[1034] Willem Hundsdorfer and CarolynneMontijn. A note on flux lim-iting for diffusion discretizations.IMA Journal of Numerical Anal-ysis, 24(4):635–642, October 2004.CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).URL http://imanum.oupjournals.org/cgi/content/abstract/24/4/635;http://imanum.oupjournals.org/


Huybrechs:2011:HORa

[1035] Daan Huybrechs, Arieh Iserles, andSyvert P. Nørsett. From high oscil-lation to rapid approximation IV: ac-celerating convergence. IMA Jour-nal of Numerical Analysis, 31(2):442–

REFERENCES 177

468, April 2011. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/31/2/442.full.pdf+html.

Huybrechs:2011:HORb

[1036] Daan Huybrechs, Arieh Iserles, andSyvert P. Nørsett. From high os-cillation to rapid approximation V:the equilateral triangle. IMA Jour-nal of Numerical Analysis, 31(3):755–785, July 2011. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/31/3/755.full.pdf+html.

Huybrechs:2018:CIA

[1037] Daan Huybrechs and Peter Opsomer.Construction and implementation ofasymptotic expansions for Laguerre-type orthogonal polynomials. IMAJournal of Numerical Analysis, 38(3):1085–1118, July 17, 2018. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/38/3/1085/4056070.

Hyvonen:1998:PAP

[1038] Saara Hyvonen. Polynomial accel-eration of the Picard–Lindelof it-eration. IMA Journal of Numer-ical Analysis, 18(4):519–543, Oc-tober 1998. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_18/Issue_04/180519.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_18/Issue_04/pdf/180519.pdf.

Iannazzo:2018:RBB

[1039] Bruno Iannazzo and Margherita Por-celli. The Riemannian Barzilai–Borwein method with nonmonotoneline search and the matrix geomet-ric mean computation. IMA Journalof Numerical Analysis, 38(1):495–517,January 25, 2018. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://academic.oup.com/imajna/article/38/1/495/3573895.

Ibdah:2020:FDN

[1040] Hussain A. Ibdah, Cecilia F. Mondaini,and Edriss S. Titi. Fully dis-crete numerical schemes of a dataassimilation algorithm: uniform-in-time error estimates. IMA Journalof Numerical Analysis, 40(4):2584–2625, October 2020. CODEN IJ-NADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/40/4/2584/5618687.

Igbida:2018:ALM

[1041] Noureddine Igbida and Van ThanhNguyen. Augmented Lagrangianmethod for optimal partial transporta-tion. IMA Journal of Numerical Anal-ysis, 38(1):156–183, January 25, 2018.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic). URLhttp://academic.oup.com/imajna/article/38/1/156/3061343.

Ilic:2010:RLA

[1042] M. Ilic, I. W. Turner, and D. P.Simpson. A restarted Lanczos ap-proximation to functions of a sym-metric matrix. IMA Journal ofNumerical Analysis, 30(4):1044–1061,

REFERENCES 178

October 2010. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/30/4/1044.full.pdf+html.

Iliev:2002:SOA

[1043] Oleg P. Iliev. On second-order-accurate discretization of 3D interfaceproblems and its fast solution witha pointwise multigrid solver. IMAJournal of Numerical Analysis, 22(3):391–406, July 2002. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_22/Issue_03/220391.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_22/Issue_03/pdf/220391.pdf.

Imbert-Gerard:2014:GPW

[1044] Lise-Marie Imbert-Gerard and BrunoDespres. A generalized plane-wavenumerical method for smooth non-constant coefficients. IMA Journalof Numerical Analysis, 34(3):1072–1103, July 2014. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/34/3/1072.

intHout:1997:SAR

[1045] K. J. in ’t Hout. Stability analysisof Runge–Kutta methods for systemsof delay differential equations. IMAJournal of Numerical Analysis, 17(1):17–27, January 1997. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_17/Issue_01/170017.sgm.abs.html.

intHout:2014:SCA

[1046] K. J. in ’t Hout and K. Vold-ers. Stability and convergence anal-ysis of discretizations of the Black–Scholes PDE with the linear bound-ary condition. IMA Journal ofNumerical Analysis, 34(1):296–325,January 2014. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/34/1/296.full.pdf+html.

Ingham:1981:BIE

[1047] D. B. Ingham, P. J. Heggs, andM. Manzoor. Boundary integral equa-tion solution of nonlinear plane poten-tial problems. IMA Journal of Nu-merical Analysis, 1(4):415–426, 1981.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Iserles:1986:GLM

[1048] A. Iserles. Generalized leapfrog meth-ods. IMA Journal of Numerical Anal-ysis, 6(4):381–392, 1986. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Iserles:1986:MDL

[1049] A. Iserles. Multistep discretization oflinear hyperbolic equations. IMA Jour-nal of Numerical Analysis, 6(3):293–307, 1986. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic).

Iserles:1990:SDN

[1050] A. Iserles. Stability and dynamics ofnumerical methods for nonlinear or-dinary differential equations. IMAJournal of Numerical Analysis, 10(1):

REFERENCES 179

1–30, January 1990. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Iserles:1991:CDC

[1051] A. Iserles. Complex dynamics of con-vergence acceleration. IMA Journalof Numerical Analysis, 11(2):205–240,1991. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Iserles:1990:TPR

[1052] A. Iserles and S. P. Nørsett. On thetheory of parallel Runge–Kutta meth-ods. IMA Journal of Numerical Anal-ysis, 10(4):463–488, 1990. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Iserles:1981:ARA

[1053] A. Iserles and M. J. D. Powell. Onthe A-acceptability of rational approx-imations that interpolate the exponen-tial function. IMA Journal of Nu-merical Analysis, 1(3):241–251, 1981.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Iserles:1992:ZHD

[1054] A. Iserles, E. B. Saff, and Xiao YanLiu. On zeros of Hankel determi-nants with iterated polynomial en-tries. IMA Journal of Numerical Anal-ysis, 12(3):387–403, 1992. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). IMA Conference onDynamics of Numerics and Numerics ofDynamics (Bristol, 1990).

Iserles:1992:UAS

[1055] A. Iserles and A. M. Stuart. Unifiedapproach to spurious solutions intro-duced by time discretization. II. BDF-

like methods. IMA Journal of Nu-merical Analysis, 12(4):487–502, 1992.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Iserles:1984:SAS

[1056] A. Iserles and R. A. Williamson. Sta-bility and accuracy of semidiscretizedfinite difference methods. IMA Journalof Numerical Analysis, 4(3):289–307,July 1984. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic).

Iserles:1982:OSS

[1057] Arieh Iserles. Order stars and a satu-ration theorem for first-order hyperbol-ics. IMA Journal of Numerical Analy-sis, 2(1):49–61, January 1982. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic).

Iserles:2001:MMM

[1058] Arieh Iserles. Multistep methodson manifolds. IMA Journal ofNumerical Analysis, 21(1):407–419,January 2001. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_01/210407.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_01/pdf/210407.pdf.

Iserles:2004:NQH

[1059] Arieh Iserles. On the numericalquadrature of highly-oscillating inte-grals. I: Fourier transforms. IMAJournal of Numerical Analysis, 24(3):365–391, July 2004. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_24/

REFERENCES 180


Iserles:2005:NQH

[1060] Arieh Iserles. On the numerical quadra-ture of highly-oscillating integrals II: Ir-regular oscillators. IMA Journal of Nu-merical Analysis, 25(1):25–44, January2005. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).URL http://imanum.oupjournals.org/cgi/content/abstract/25/1/25;http://imanum.oupjournals.org/cgi/reprint/25/1/25.

Iserles:2014:SSD

[1061] Arieh Iserles. On skew-symmetricdifferentiation matrices. IMA Jour-nal of Numerical Analysis, 34(2):435–451, April 2014. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/34/2/435.full.pdf+html.

Iserles:2008:HOR

[1062] Arieh Iserles and Syvert P. Nørsett.From high oscillation to rapid approxi-mation I: Modified Fourier expansions.IMA Journal of Numerical Analysis, 28(4):862–887, October 2008. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/28/4/862.

Iserles:2009:HOR

[1063] Arieh Iserles and Syvert P. Nørsett.From high oscillation to rapid ap-proximation III: multivariate expan-sions. IMA Journal of Numer-ical Analysis, 29(4):882–916, Oc-

tober 2009. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/29/4/882; http://imajna.oxfordjournals.org/cgi/reprint/29/4/882.

Iserles:2008:D

[1064] Arieh Iserles and Michael L. Over-ton. Dedication. IMA Journal ofNumerical Analysis, 28(4):647–648,October 2008. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/reprint/28/4/647.

Iserles:2007:CE

[1065] Arieh Iserles, Michael L. Overton,and Endre Suli. Change of Editor-ship. IMA Journal of Numerical Anal-ysis, 27(1):i, January 2007. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://imajna.oxfordjournals.org/cgi/reprint/27/1/i.

Jackiewicz:1987:SAM

[1066] Z. Jackiewicz. Stability analysis ofmodified multilag methods for Volterraintegral equations. IMA Journal of Nu-merical Analysis, 7(4):473–484, 1987.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Jackson:1989:OCS

[1067] I. R. H. Jackson. An order of con-vergence for some radial basis func-tions. IMA Journal of Numerical Anal-ysis, 9(4):567–587, 1989. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

REFERENCES 181

Jacobs:1986:GCG

[1068] D. A. H. Jacobs. A generalization ofthe conjugate-gradient method to solvecomplex systems. IMA Journal of Nu-merical Analysis, 6(4):447–452, 1986.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Jahnke:2019:AEM

[1069] T. Jahnke and M. Mikl. Adi-abatic exponential midpoint rulefor the dispersion-managed nonlinearSchrodinger equation. IMA Journalof Numerical Analysis, 39(4):1818–1859, October 2019. CODEN IJ-NADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/39/4/1818/5053833.

Jain:1984:SOS

[1070] R. K. Jain, N. S. Kambo, and RakeshGoel. A sixth-order P -stable symmet-ric multistep method for periodic ini-tial value problems of second-order dif-ferential equations. IMA Journal ofNumerical Analysis, 4(1):117–125, Jan-uary 1984. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic).

Jankuhn:2021:TFE

[1071] Thomas Jankuhn and Arnold Reusken.Trace finite element methods for sur-face vector-Laplace equations. IMAJournal of Numerical Analysis, 41(1):48–83, January 2021. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/41/1/48/5829029.

Janovsky:1995:NAS

[1072] Vladimır Janovsky and Petr Plechac.Numerical analysis of subspace-breaking Takens–Bogdanov points.IMA Journal of Numerical Analysis,15(2):265–290, 1995. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Janovsky:1995:CAT

[1073] Vladimır Janovsky and Bodo Werner.Constructive analysis of Takens–Bogdanov points with Z2-symmetry.IMA Journal of Numerical Analysis,15(1):1–21, 1995. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic).

Jantsch:2019:LCW

[1074] Peter Jantsch, Clayton G. Webster,and Guannan Zhang. On the Lebesgueconstant of weighted Leja points forLagrange interpolation on unboundeddomains. IMA Journal of NumericalAnalysis, 39(2):1039–1057, April 2019.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic). URLhttp://academic.oup.com/imajna/article/39/2/1039/4944440.

Jbilou:1999:IMM

[1075] K. Jbilou and H. Sadok. LU implemen-tation of the modified minimal poly-nomial extrapolation method for solv-ing linear and nonlinear systems. IMAJournal of Numerical Analysis, 19(4):549–561, October 1999. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_19/Issue_04/190549.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_19/Issue_04/pdf/190549.pdf.

REFERENCES 182

Jeltsch:1998:ABS

[1076] R. Jeltsch, R. A. Renaut, and J. H.Smit. An accuracy barrier for sta-ble three-time-level difference schemesfor hyperbolic equations. IMA Jour-nal of Numerical Analysis, 18(3):445–484, July 1998. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_18/Issue_03/180445.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_18/Issue_03/pdf/180445.pdf.

Jennings:1982:BSV

[1077] A. Jennings. Bounds for the singu-lar values of a matrix. IMA Jour-nal of Numerical Analysis, 2(4):459–474, October 1982. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Jenschke:2019:AMS

[1078] Tristan Jenschke. Approximation ofminimal surfaces with free bound-aries: convergence results. IMAJournal of Numerical Analysis, 39(3):1391–1420, July 2019. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/39/3/1391/5053816.

Jensen:2017:FEC

[1079] Max Jensen. L2(H1γ) finite element

convergence for degenerate isotropicHamilton–Jacobi–Bellman equations.IMA Journal of Numerical Analysis, 37(3):1300–1316, July 1, 2017. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL https://academic.oup.com/imajna/article/

37/3/1300/2422322/L2-H-1-Finite-Element-Convergence-for-Degenerate.

Jentzen:2021:SEA

[1080] Arnulf Jentzen, Benno Kuckuck, ArielNeufeld, and Philippe von Wurstem-berger. Strong error analysis forstochastic gradient descent optimiza-tion algorithms. IMA Journal of Nu-merical Analysis, 41(1):455–492, Jan-uary 2021. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://academic.oup.com/imajna/article/41/1/455/5828290.

Jentzen:2020:SCR

[1081] Arnulf Jentzen and Primoz Pusnik.Strong convergence rates for an ex-plicit numerical approximation methodfor stochastic evolution equations withnon-globally Lipschitz continuous non-linearities. IMA Journal of NumericalAnalysis, 40(2):1005–1050, April 2020.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic). URLhttp://academic.oup.com/imajna/article/40/2/1005/5444218.

Jepson:1984:IOD

[1082] A. Jepson and A. Spence. On im-plicit ordinary differential equations.IMA Journal of Numerical Analysis, 4(3):253–274, July 1984. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Jerez-Hanckes:2017:EWS

[1083] Carlos Jerez-Hanckes and ChristophSchwab. Electromagnetic wave scat-tering by random surfaces: uncer-tainty quantification via sparse ten-sor boundary elements. IMA Jour-

REFERENCES 183

nal of Numerical Analysis, 37(3):1175–1210, July 1, 2017. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL https://academic.oup.com/imajna/article/37/3/1175/2670002/Electromagnetic-wave-scattering-by-random-surfaces.

Jiang:2016:CIE

[1084] Zixian Jiang and Armin Lechleiter.Computing interior eigenvalues of do-mains from far fields. IMA Jour-nal of Numerical Analysis, 36(3):1452–1476, July 2016. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/36/3/1452.

Jimack:1992:SLT

[1085] P. K. Jimack. On steady and largetime solutions of the semi-discrete mov-ing finite element equations for one-dimensional diffusion problems. IMAJournal of Numerical Analysis, 12(4):545–564, 1992. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic).

Jimack:1996:OEA

[1086] P. K. Jimack. Optimal eigenvalueand asymptotic large-time approx-imations using the moving finite-element method. IMA Journalof Numerical Analysis, 16(3):381–398, July 1996. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_16/Issue_03/160381.sgm.abs.html.

Jin:2015:EAS

[1087] Bangti Jin, Raytcho Lazarov, JosephPasciak, and Zhi Zhou. Error anal-

ysis of semidiscrete finite elementmethods for inhomogeneous time-fractional diffusion. IMA Journalof Numerical Analysis, 35(2):561–582, April 2015. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/35/2/561.

Jin:2016:ASS

[1088] Bangti Jin, Raytcho Lazarov, andZhi Zhou. An analysis of the L1

scheme for the subdiffusion equationwith nonsmooth data. IMA Jour-nal of Numerical Analysis, 36(1):197–221, January 2016. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/36/1/197.

Jin:2018:ACN

[1089] Bangti Jin, Buyang Li, and Zhi Zhou.An analysis of the Crank–Nicolsonmethod for subdiffusion. IMA Journalof Numerical Analysis, 38(1):518–541,January 25, 2018. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://academic.oup.com/imajna/article/38/1/518/3782812.

Jin:2020:PTE

[1090] Bangti Jin, Buyang Li, and Zhi Zhou.Pointwise-in-time error estimates foran optimal control problem with sub-diffusion constraint. IMA Journalof Numerical Analysis, 40(1):377–404,January 2020. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://academic.oup.com/imajna/article/40/1/377/5133698.

REFERENCES 184

Jin:2017:CAF

[1091] Bangti Jin, Yifeng Xu, and JunZou. A convergent adaptive fi-nite element method for electricalimpedance tomography. IMA Jour-nal of Numerical Analysis, 37(3):1520–1550, July 1, 2017. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL https://academic.oup.com/imajna/article/37/3/1520/2670046/A-convergent-adaptive-finite-element-method-for.

Jin:2012:IPC

[1092] Bangti Jin, Yubo Zhao, and JunZou. Iterative parameter choice by dis-crepancy principle. IMA Journal ofNumerical Analysis, 32(4):1714–1732,October 2012. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/32/4/1714.full.pdf+html.

Jin:2010:NER

[1093] Bangti Jin and Jun Zou. Numericalestimation of the Robin coefficient ina stationary diffusion equation. IMAJournal of Numerical Analysis, 30(3):677–701, July 2010. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/30/3/677; http://imajna.oxfordjournals.org/cgi/reprint/30/3/677.

Jodar:1998:RMA

[1094] Lucas Jodar and J. C. Cortes Lopez.Rational matrix approximation with apriori error bounds for non-symmetric

matrix Riccati equations with ana-lytic coefficients. IMA Journal ofNumerical Analysis, 18(4):545–561,October 1998. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_18/Issue_04/180545.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_18/Issue_04/pdf/180545.pdf.

Jodar:1995:NAR

[1095] Lucas Jodar and Enrique Ponsoda.Non-autonomous Riccati-type matrixdifferential equations: existence inter-val, construction of continuous numer-ical solutions and error bounds. IMAJournal of Numerical Analysis, 15(1):61–74, 1995. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic).

Joe:1987:DGM

[1096] S. Joe. Discrete Galerkin methodsfor Fredholm integral equations of thesecond kind. IMA Journal of Nu-merical Analysis, 7(2):149–164, 1987.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

John:2017:ECF

[1097] Lorenz John, Petra Pustejovska, Bar-bara Wohlmuth, and Ulrich Rude.Energy-corrected finite element meth-ods for the Stokes system. IMA Jour-nal of Numerical Analysis, 37(2):687–729, April 2017. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL https://academic.oup.com/imajna/article/37/2/687/2669941/Energy-corrected-finite-element-methods-for-the.

REFERENCES 185

Johnny:2012:FNE

[1098] Guzman Johnny and Neilan Michael.A family of nonconforming elementsfor the Brinkman problem. IMA Jour-nal of Numerical Analysis, 32(4):1484–1508, October 2012. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/32/4/1484.full.pdf+html.

Johnson:2000:OBE

[1099] Michael J. Johnson. Overcom-ing the boundary effects in surfacespline interpolation. IMA Jour-nal of Numerical Analysis, 20(3):405–422, July 2000. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_20/Issue_03/200405.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_20/Issue_03/pdf/200405.pdf.

Johnson:2009:SCM

[1100] Michael J. Johnson. A symmetriccollocation method with fast eval-uation. IMA Journal of Numer-ical Analysis, 29(3):773–789, July2009. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/29/3/773; http://imajna.oxfordjournals.org/cgi/reprint/29/3/773.

Jolly:2005:CNS

[1101] M. S. Jolly and R. Rosa. Computationof non-smooth local centre manifolds.IMA Journal of Numerical Analysis, 25(4):698–725, October 2005. CODENIJNADH. ISSN 0272-4979 (print),

1464-3642 (electronic). URL http://imanum.oxfordjournals.org/cgi/reprint/25/4/698.

Jovanovic:1987:CFDb

[1102] Bosko S. Jovanovic, Lav D. Ivanovic,and Endre E. Suli. Convergence ofa finite-difference scheme for second-order hyperbolic equations with vari-able coefficients. IMA Journal ofNumerical Analysis, 7(1):39–45, 1987.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Jovanovic:1987:CFDa

[1103] Bosko S. Jovanovic, Lav D. Ivanovic,and Endre E. Suli. Convergenceof finite-difference schemes for ellip-tic equations with variable coefficients.IMA Journal of Numerical Analysis,7(3):301–305, 1987. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Jovanovic:2011:NSP

[1104] Bosko S. Jovanovic and Lubin G.Vulkov. Numerical solution of aparabolic transmission problem. IMAJournal of Numerical Analysis, 31(1):233–253, January 2011. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://imajna.oxfordjournals.org/content/31/1/233.full.pdf+html.

Ju:2002:GST

[1105] Ning Ju. On the global stability ofa temporal discretization scheme forthe Navier–Stokes equations. IMAJournal of Numerical Analysis, 22(4):577–597, October 2002. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.

REFERENCES 186


Kacur:1999:SSN

[1106] J. Kacur. Solution to strongly non-linear parabolic problems by a linearapproximation scheme. IMA Jour-nal of Numerical Analysis, 19(1):119–145, January 1999. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_19/Issue_01/190119.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_19/Issue_01/pdf/190119.pdf.

Kacur:1997:NSC

[1107] J. Kacur and R. Van Keer. On thenumerical solution of a class of nonlin-ear parabolic problems with Volterraoperators by a Rothe-Galerkin fi-nite element method. IMA Jour-nal of Numerical Analysis, 17(2):239–269, April 1997. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_17/Issue_02/170239.sgm.abs.html.

Kadalbajoo:2014:RNB

[1108] Mohan K. Kadalbajoo, Lok Pati Tri-pathi, and Puneet Arora. A ro-bust nonuniform B-spline collocationmethod for solving the generalizedBlack–Scholes equation. IMA Jour-nal of Numerical Analysis, 34(1):252–278, January 2014. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/34/1/252.full.pdf+html.

Kaklis:1997:SPI

[1109] P. D. Kaklis and M. I. Karavelas.Shape-preserving interpolation in R3.IMA Journal of Numerical Analysis,17(3):373–419, July 1997. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_17/Issue_03/170373.sgm.abs.html.

Kaklis:1990:CPP

[1110] P. D. Kaklis and D. G. Pan-delis. Convexity-preserving polynomialsplines of nonuniform degree. IMAJournal of Numerical Analysis, 10(2):223–234, 1990. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic).

Kaltenbacher:2015:ETI

[1111] Barbara Kaltenbacher, Vanja Nikolic,and Mechthild Thalhammer. Efficienttime integration methods based onoperator splitting and application tothe Westervelt equation. IMA Jour-nal of Numerical Analysis, 35(3):1092–1124, July 2015. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/35/3/1092.

Kangal:2020:ENA

[1112] Fatih Kangal and Emre Mengi. Er-ratum to: Nonsmooth algorithms forminimizing the largest eigenvalue withapplications to inner numerical radius.IMA Journal of Numerical Analysis,40(4):2942, October 2020. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/40/4/2942/5753772. See [1113].

REFERENCES 187

Kangal:2020:NAM

[1113] Fatih Kangal and Emre Mengi. Nons-mooth algorithms for minimizing thelargest eigenvalue with applicationsto inner numerical radius. IMAJournal of Numerical Analysis, 40(4):2342–2376, October 2020. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/40/4/2342/5614862. See erratum[1112].

Kaps:1989:RMU

[1114] Peter Kaps and Alexander Ostermann.Rosenbrock methods using few LU -decompositions. IMA Journal of Nu-merical Analysis, 9(1):15–27, 1989.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Karaa:2017:FVE

[1115] Samir Karaa, Kassem Mustapha, andAmiya K. Pani. Finite volume ele-ment method for two-dimensional frac-tional subdiffusion problems. IMAJournal of Numerical Analysis, 37(2):945–964, April 2017. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL https://academic.oup.com/imajna/article/37/2/945/2669948/Finite-volume-element-method-for-two-dimensional.

Karageorghis:1989:MFS

[1116] A. Karageorghis and G. Fairweather.The method of fundamental solutionsfor the solution of nonlinear plane po-tential problems. IMA Journal of Nu-merical Analysis, 9(2):231–242, 1989.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Karageorghis:1991:CCS

[1117] Andreas Karageorghis and Timothy N.Phillips. Conforming Chebyshev spec-tral collocation methods for the solu-tion of laminar flow in a constrictedchannel. IMA Journal of NumericalAnalysis, 11(1):33–54, 1991. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic).

Karakashian:2017:TLA

[1118] Ohannes Karakashian and CraigCollins. Two-level additive Schwarzmethods for discontinuous Galerkinapproximations of second-order el-liptic problems. IMA Journal ofNumerical Analysis, 37(4):1800–1830,October 1, 2017. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL https://academic.oup.com/imajna/article/37/4/1800/2739359.

Karakatsani:2012:PEE

[1119] Fotini Karakatsani. A posteriori er-ror estimates for the fractional-stepϑ-scheme for linear parabolic equa-tions. IMA Journal of Numer-ical Analysis, 32(1):141–162, Jan-uary 2012. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/32/1/141.full.pdf+html.

Karakatsani:2016:PEE

[1120] Fotini Karakatsani. A posteriorierror estimates for fully discretefractional-step θ-approximations forparabolic equations. IMA Journalof Numerical Analysis, 36(3):1334–1361, July 2016. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642

REFERENCES 188


Karakatsani:2007:PEA

[1121] Fotini Karakatsani and CharalambosMakridakis. A posteriori estimatesfor approximations of time-dependentStokes equations. IMA Journal ofNumerical Analysis, 27(4):741–764,October 2007. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/27/4/741; http://imajna.oxfordjournals.org/cgi/reprint/27/4/741.

Karatson:2020:DMP

[1122] Janos Karatson, Balazs Kovacs, andSergey Korotov. Discrete maximumprinciples for nonlinear elliptic finiteelement problems on surfaces withboundary. IMA Journal of NumericalAnalysis, 40(2):1241–1265, April 2020.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic). URLhttp://academic.oup.com/imajna/article/40/2/1241/5231969.

Karlsen:2002:UDA

[1123] K. H. Karlsen, N. H. Risebro, andJ. D. Towers. Upwind difference ap-proximations for degenerate parabolicconvection-diffusion equations with adiscontinuous coefficient. IMA Jour-nal of Numerical Analysis, 22(4):623–664, October 2002. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_22/Issue_04/220623.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_22/Issue_04/pdf/220623.pdf.

Karlsen:2018:ASM

[1124] K. H. Karlsen and E. B. Storrøsten.Analysis of a splitting method forstochastic balance laws. IMA Jour-nal of Numerical Analysis, 38(1):1–56, January 25, 2018. CODEN IJ-NADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/38/1/1/3076087.

Karlsen:2012:CMM

[1125] Kenneth H. Karlsen and Trygve K.Karper. A convergent mixed methodfor the Stokes approximation of vis-cous compressible flow. IMA Jour-nal of Numerical Analysis, 32(3):725–764, July 2012. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/32/3/725.full.pdf+html.

Karlsen:1999:USS

[1126] Kenneth Hvistendahl Karlsen andKnut-Andreas Lie. An uncondition-ally stable splitting scheme for a classof nonlinear parabolic equations. IMAJournal of Numerical Analysis, 19(4):609–635, October 1999. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_19/Issue_04/190609.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_19/Issue_04/pdf/190609.pdf.

Kawohl:1998:CFE

[1127] Bernhard Kawohl and ChristophSchwab. Convergent finite ele-ments for a class of nonconvex vari-ational problems. IMA Journal ofNumerical Analysis, 18(1):133–149,

REFERENCES 189

January 1998. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_18/Issue_01/180133.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_18/Issue_01/pdf/180133.pdf.

Kay:2001:RLE

[1128] David Kay and David Silvester. Thereliability of local error estimators forconvection-diffusion equations. IMAJournal of Numerical Analysis, 21(1):107–122, January 2001. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_01/210107.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_01/pdf/210107.pdf.

Kazashi:2019:QMC

[1129] Yoshihito Kazashi. Quasi-Monte Carlointegration with product weights forelliptic PDEs with log-normal coef-ficients. IMA Journal of NumericalAnalysis, 39(3):1563–1593, July 2019.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic). URLhttp://academic.oup.com/imajna/article/39/3/1563/5001155.

Kelly:2018:ATS

[1130] Conall Kelly and Gabriel J. Lord.Adaptive time-stepping strategies fornonlinear stochastic systems. IMAJournal of Numerical Analysis, 38(3):1523–1549, July 17, 2018. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/38/3/1523/4086057.

Kessler:2002:PEE

[1131] D. Kessler and J.-F. Scheid. A pri-ori error estimates of a finite-elementmethod for an isothermal phase-fieldmodel related to the solidification pro-cess of a binary alloy. IMA Jour-nal of Numerical Analysis, 22(2):281–305, April 2002. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_22/Issue_02/220281.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_22/Issue_02/pdf/220281.pdf.

Ketcheson:2015:ASR

[1132] David Ketcheson, Lajos Loczi, andTihamer A. Kocsis. On the ab-solute stability regions correspond-ing to partial sums of the ex-ponential function. IMA Journalof Numerical Analysis, 35(3):1426–1455, July 2015. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/35/3/1426.

Khalifa:1982:CQC

[1133] A. K. A. Khalifa and J. C. Eilbeck.Collocation with quadratic and cubicsplines. IMA Journal of NumericalAnalysis, 2(1):111–121, January 1982.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Khor:1990:FRM

[1134] K. E. Khor. A factorization-relatedmethod for elliptic partial differen-tial equations with iterative improve-ment. IMA Journal of Numerical Anal-ysis, 10(3):407–424, 1990. CODEN IJ-

REFERENCES 190


King:1986:NDF

[1135] J. Thomas King and Diego A. Mu-rio. Numerical differentiation by finite-dimensional regularization. IMA Jour-nal of Numerical Analysis, 6(1):65–85,1986. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Kirsch:1990:CAC

[1136] A. Kirsch and P. Monk. Convergenceanalysis of a coupled finite element andspectral method in acoustic scatter-ing. IMA Journal of Numerical Anal-ysis, 10(3):425–447, 1990. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Kirsch:1994:ACF

[1137] A. Kirsch and P. Monk. An analysisof the coupling of finite-element andNystrom methods in acoustic scatter-ing. IMA Journal of Numerical Anal-ysis, 14(4):523–544, 1994. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Kiwiel:1985:EPF

[1138] Krzysztof C. Kiwiel. An exact penaltyfunction algorithm for nonsmooth con-vex constrained minimization prob-lems. IMA Journal of Numerical Anal-ysis, 5(1):111–119, 1985. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Kiwiel:1986:MSC

[1139] Krzysztof C. Kiwiel. A method forsolving certain quadratic programmingproblems arising in nonsmooth opti-mization. IMA Journal of Numerical

Analysis, 6(2):137–152, 1986. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic).

Klein:2003:PEE

[1140] Olaf Klein and Claudio Verdi. Aposteriori error estimates for a timediscrete scheme for a phase-field sys-tem of Penrose-Fife type. IMA Jour-nal of Numerical Analysis, 23(1):55–80, January 2003. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_23/Issue_01/230055.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_23/Issue_01/pdf/230055.pdf.

Kloeden:2009:ASV

[1141] P. E. Kloeden and J. Valero. Attrac-tors of set-valued partial differentialequations under discretization. IMAJournal of Numerical Analysis, 29(3):690–711, July 2009. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/29/3/690; http://imajna.oxfordjournals.org/cgi/reprint/29/3/690.

Kloeden:2003:UAN

[1142] Peter E. Kloeden and JohannesSchropp. Uniform attractors of nonau-tonomous index 2 differential algebraicequations under discretization. IMAJournal of Numerical Analysis, 23(2):221–239, April 2003. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_23/Issue_02/230221.sgm.abs.html; http:

REFERENCES 191


Knobloch:2011:SFE

[1143] Petr Knobloch and Lutz Tobiska.On the stability of finite-element dis-cretizations of convection–diffusion–reaction equations. IMA Journalof Numerical Analysis, 31(1):147–164,January 2011. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/31/1/147.full.pdf+html.

Koch:2011:VST

[1144] Othmar Koch and Christian Lu-bich. Variational-splitting time in-tegration of the multi-configurationtime-dependent Hartree–Fock equa-tions in electron dynamics. IMA Jour-nal of Numerical Analysis, 31(2):379–395, April 2011. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/31/2/379.full.pdf+html.

Kohler:1993:EEG

[1145] Peter Kohler. Error estimates for gen-eralized compound quadrature formu-las. IMA Journal of Numerical Anal-ysis, 13(3):477–491, 1993. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Kokkinos:1990:OMA

[1146] C. A. Kokkinos, N. Papamichael, andA. B. Sideridis. An orthonormaliza-tion method for the approximate con-formal mapping of multiply-connecteddomains. IMA Journal of Numer-ical Analysis, 10(3):343–359, 1990.


Koley:2012:HOF

[1147] U. Koley, S. Mishra, N. H. Risebro, andM. Svard. Higher-order finite differenceschemes for the magnetic inductionequations with resistivity. IMA Jour-nal of Numerical Analysis, 32(3):1173–1193, July 2012. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/32/3/1173.full.pdf+html.

Koley:2018:FDS

[1148] Ujjwal Koley, Ananta K. Majee, andGuy Vallet. A finite difference schemefor conservation laws driven by Levynoise. IMA Journal of Numerical Anal-ysis, 38(2):998–1050, April 18, 2018.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic). URLhttp://academic.oup.com/imajna/article/38/2/998/3848985.

Koltracht:1990:CSL

[1149] I. Koltracht and P. Lancaster. Con-straining strategies for linear itera-tive processes. IMA Journal of Nu-merical Analysis, 10(4):555–567, 1990.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Kopec:2015:WBE

[1150] Marie Kopec. Weak backward er-ror analysis for overdamped Langevinprocesses. IMA Journal of Numer-ical Analysis, 35(2):583–614, April2015. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://imajna.

REFERENCES 192


Kopteva:2007:MNP

[1151] Natalia Kopteva. Maximum norma posteriori error estimates for a1D singularly perturbed semilinearreaction–diffusion problem. IMA Jour-nal of Numerical Analysis, 27(3):576–592, July 2007. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/27/3/576; http://imajna.oxfordjournals.org/cgi/reprint/27/3/576.

Kopteva:2011:PEE

[1152] Natalia Kopteva and Simona BlancaSavescu. Pointwise error esti-mates for a singularly perturbedtime-dependent semilinear reaction–diffusion problem. IMA Journalof Numerical Analysis, 31(2):616–639, April 2011. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/31/2/616.full.pdf+html.

Koshy:1985:URP

[1153] Mathew Koshy and R. P. Tewarson. Onthe use of restricted pseudo-inverses forthe unified derivation of quasi-Newtonupdates. IMA Journal of NumericalAnalysis, 5(2):141–151, 1985. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic).

Kovacs:2018:HOE

[1154] Balazs Kovacs. High-order evolv-ing surface finite element method forparabolic problems on evolving sur-

faces. IMA Journal of Numerical Anal-ysis, 38(1):430–459, January 25, 2018.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic). URLhttp://academic.oup.com/imajna/article/38/1/430/3074895.

Kovacs:2018:HOT

[1155] Balazs Kovacs and Christian An-dreas Power Guerra. Higher ordertime discretizations with ALE finiteelements for parabolic problems onevolving surfaces. IMA Journal of Nu-merical Analysis, 38(1):460–494, Jan-uary 25, 2018. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://academic.oup.com/imajna/article/38/1/460/3098317.

Kovacs:2017:NAP

[1156] Balazs Kovacs and Christian Lubich.Numerical analysis of parabolic prob-lems with dynamic boundary condi-tions. IMA Journal of NumericalAnalysis, 37(1):1–39, January 1, 2017.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic). URLhttps://academic.oup.com/imajna/article/37/1/1/2669955/Numerical-analysis-of-parabolic-problems-with.

Kratz:1987:NSM

[1157] W. Kratz and E. Stickel. Numerical so-lution of matrix polynomial equationsby Newton’s method. IMA Journalof Numerical Analysis, 7(3):355–369,1987. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Kress:2008:NTR

[1158] Wendy Kress and Stefan Sauter. Nu-merical treatment of retarded bound-

REFERENCES 193

ary integral equations by sparsepanel clustering. IMA Journal ofNumerical Analysis, 28(1):162–185,January 2008. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/28/1/162; http://imajna.oxfordjournals.org/cgi/reprint/28/1/162.

Kressner:2014:GEP

[1159] Daniel Kressner, Emre Mengi, IvicaNakic, and Ninoslav Truhar. Gen-eralized eigenvalue problems withspecified eigenvalues. IMA Jour-nal of Numerical Analysis, 34(2):480–501, April 2014. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/34/2/480.full.pdf+html.

Kretzschmar:2016:PEA

[1160] Fritz Kretzschmar, Andrea Moiola,Ilaria Perugia, and Sascha M. Schnepp.A priori error analysis of space-timeTrefftz discontinuous Galerkin meth-ods for wave problems. IMA Jour-nal of Numerical Analysis, 36(4):1599–1635, October 2016. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/36/4/1599.

Kreuzer:2012:DCA

[1161] Christian Kreuzer, Christian A. Moller,Alfred Schmidt, and Kunibert G.Siebert. Design and convergence anal-ysis for an adaptive discretization ofthe heat equation. IMA Journal ofNumerical Analysis, 32(4):1375–1403,October 2012. CODEN IJNADH.

ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/32/4/1375.full.pdf+html.

Kreuzer:2016:IOC

[1162] Christian Kreuzer and Mira Scheden-sack. Instance optimal Crouzeix–Raviart adaptive finite element meth-ods for the Poisson and Stokes prob-lems. IMA Journal of Numeri-cal Analysis, 36(2):593–617, April2016. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://imajna.oxfordjournals.org/content/36/2/593.

Kreuzer:2020:QOP

[1163] Christian Kreuzer and Pietro Zanotti.Quasi-optimal and pressure-robust dis-cretizations of the Stokes equations bynew augmented Lagrangian formula-tions. IMA Journal of Numerical Anal-ysis, 40(4):2553–2583, October 2020.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic). URLhttp://academic.oup.com/imajna/article/40/4/2553/5680731.

Krivko:2014:NIH

[1164] M. Krivko and M. V. Tretyakov.Numerical integration of the Heath–Jarrow–Morton model of interestrates. IMA Journal of Numer-ical Analysis, 34(1):147–196, Jan-uary 2014. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/34/1/147.full.pdf+html.

REFERENCES 194

Kruse:2014:OEE

[1165] Raphael Kruse. Optimal error es-timates of Galerkin finite elementmethods for stochastic partial dif-ferential equations with multiplica-tive noise. IMA Journal of Nu-merical Analysis, 34(1):217–251, Jan-uary 2014. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/34/1/217.full.pdf+html.

Ku:2011:PEE

[1166] Jaeun Ku. Pointwise error esti-mate and asymptotic error expan-sion inequalities for a stabilizedGalerkin method. IMA Journal ofNumerical Analysis, 31(1):165–187,January 2011. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/31/1/165.full.pdf+html.

Ku:2016:LPE

[1167] JaEun Ku. Localized pointwise er-ror estimates for direct flux approx-imation. IMA Journal of Numer-ical Analysis, 36(3):1410–1431, July2016. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://imajna.oxfordjournals.org/content/36/3/1410.

Kucera:2014:DUE

[1168] Vaclav Kucera. On diffusion-uniformerror estimates for the DG methodapplied to singularly perturbed prob-lems. IMA Journal of Numeri-cal Analysis, 34(2):820–861, April2014. CODEN IJNADH. ISSN

0272-4979 (print), 1464-3642 (elec-tronic). URL http://imajna.oxfordjournals.org/content/34/2/820.full.pdf+html.

Kucera:2019:TGE

[1169] Vaclav Kucera and Chi-Wang Shu. Onthe time growth of the error of theDG method for advective problems.IMA Journal of Numerical Analysis,39(2):687–712, April 2019. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/39/2/687/4961330.

Kuhn:1998:CFD

[1170] T. Kuhn. Convergence of a fullydiscrete approximation for advectedmean curvature flows. IMA Jour-nal of Numerical Analysis, 18(4):595–634, October 1998. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_18/Issue_04/180595.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_18/Issue_04/pdf/180595.pdf.

Kulikov:2013:CGE

[1171] Gennady Yu. Kulikov. Cheap globalerror estimation in some Runge–Kutta pairs. IMA Journal of Nu-merical Analysis, 33(1):136–163, Jan-uary 2013. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/33/1/136.full.pdf+html.

Kulkarni:1997:UEI

[1172] Rekha P. Kulkarni. Use of extrapola-tion for improving the order of conver-

REFERENCES 195

gence of eigenelement approximations.IMA Journal of Numerical Analysis, 17(2):271–284, April 1997. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_17/Issue_02/170271.sgm.abs.html.

Kumar:1987:SCT

[1173] Sunil Kumar. Superconvergence of acollocation-type method for Hammer-stein equations. IMA Journal of Nu-merical Analysis, 7(3):313–325, 1987.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Kunert:2001:PEE

[1174] Gerd Kunert. A posteriori L2 er-ror estimation on anisotropic tetra-hedral finite element meshes. IMAJournal of Numerical Analysis, 21(2):503–523, April 2001. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_02/210503abs.pdf; http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_02/pdf/210503.pdf.

Kunert:2005:PEE

[1175] Gerd Kunert. A posteriori H1 error es-timation for a singularly perturbed re-action diffusion problem on anisotropicmeshes. IMA Journal of Numer-ical Analysis, 25(2):408–428, April2005. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).URL http://imanum.oupjournals.org/cgi/content/abstract/25/2/408;http://imanum.oupjournals.org/cgi/reprint/25/2/408.

Kunkel:1989:ECS

[1176] P. Kunkel. Efficient computation ofsingular points. IMA Journal of Nu-merical Analysis, 9(3):421–433, 1989.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Kunkel:1996:TBA

[1177] P. Kunkel. A tree-based analysis of afamily of augmented systems for thecomputation of singular points. IMAJournal of Numerical Analysis, 16(4):501–527, October 1996. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_16/Issue_04/160501.sgm.abs.html.

Kuo:1981:CMN

[1178] Pen Yu Kuo and J. M. Sanz-Serna.Convergence of methods for the nu-merical solution of the Korteweg–deVries equation. IMA Journal of Nu-merical Analysis, 1(2):215–221, 1981.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Kyoya:2020:CCM

[1179] Shunki Kyoya and Ken’ichiro Tanaka.Construction of conformal maps basedon the locations of singularities forimproving the double exponential for-mula. IMA Journal of Numerical Anal-ysis, 40(4):2746–2776, October 2020.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic). URLhttp://academic.oup.com/imajna/article/40/4/2746/5614270.

Kyprianou:2018:UWS

[1180] Andreas E. Kyprianou, Ana Oso-jnik, and Tony Shardlow. Unbiased

REFERENCES 196

‘walk-on-spheres’ Monte Carlo meth-ods for the fractional Laplacian. IMAJournal of Numerical Analysis, 38(3):1550–1578, July 17, 2018. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/38/3/1550/4090986.

Kyza:2011:ECT

[1181] Irene Kyza, Charalambos Makri-dakis, and Michael Plexousakis. Er-ror control for time-splitting spec-tral approximations of the semiclassi-cal Schrodinger equation. IMA Jour-nal of Numerical Analysis, 31(2):416–441, April 2011. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/31/2/416.full.pdf+html.

Lai:2002:FSD

[1182] Ming-Chih Lai, Wen-Wei Lin, andWeichung Wang. A fast spec-tral/difference method without poleconditions for Poisson-type equa-tions in cylindrical and sphericalgeometries. IMA Journal of Nu-merical Analysis, 22(4):537–548, Oc-tober 2002. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_22/Issue_04/220537.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_22/Issue_04/pdf/220537.pdf.

Lakkis:2012:GRA

[1183] Omar Lakkis and Tristan Pryer. Gra-dient recovery in adaptive finite-element methods for parabolic prob-lems. IMA Journal of Numer-

ical Analysis, 32(1):246–278, Jan-uary 2012. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/32/1/246.full.pdf+html.

Lamba:2007:AEM

[1184] H. Lamba, J. C. Mattingly, andA. M. Stuart. An adaptive Euler–Maruyama scheme for SDEs: con-vergence and stability. IMA Jour-nal of Numerical Analysis, 27(3):479–506, July 2007. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/27/3/479; http://imajna.oxfordjournals.org/cgi/reprint/27/3/479.

Lamichhane:2009:ISS

[1185] Bishnu P. Lamichhane. Inf-sup sta-ble finite-element pairs based on dualmeshes and bases for nearly incom-pressible elasticity. IMA Journalof Numerical Analysis, 29(2):404–420, April 2009. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/29/2/404; http://imajna.oxfordjournals.org/cgi/reprint/29/2/404.

Langdon:2001:BIM

[1186] S. Langdon and I. G. Graham. Bound-ary integral methods for singularly per-turbed boundary value problems. IMAJournal of Numerical Analysis, 21(1):217–237, January 2001. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.

REFERENCES 197

oup.co.uk/imanum/hdb/Volume_21/Issue_01/210217abs.pdf; http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_01/pdf/210217.pdf.

Lanteri:2013:CDG

[1187] Stephane Lanteri and Claire Scheid.Convergence of a discontinuous Galerkinscheme for the mixed time-domainMaxwell’s equations in dispersivemedia. IMA Journal of Numer-ical Analysis, 33(2):432–459, April2013. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://imajna.oxfordjournals.org/content/33/2/432.full.pdf+html.

Larson:2020:SHO

[1188] Mats G. Larson and Sara Zahedi. Sta-bilization of high order cut finite el-ement methods on surfaces. IMAJournal of Numerical Analysis, 40(3):1702–1745, July 2020. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/40/3/1702/5479342.

Larsson:2011:FEA

[1189] Stig Larsson and Ali Mesforush.Finite-element approximation of thelinearized Cahn–Hilliard–Cook equa-tion. IMA Journal of Numeri-cal Analysis, 31(4):1315–1333, Oc-tober 2011. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/31/4/1315.full.pdf+html.

Larsson:2010:CGM

[1190] Stig Larsson and Fardin Saedpanah.

The continuous Galerkin method foran integro-differential equation mod-eling dynamic fractional order vis-coelasticity. IMA Journal of Nu-merical Analysis, 30(4):964–986, Oc-tober 2010. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/30/4/964.full.pdf+html.

Larsson:1991:FEM

[1191] Stig Larsson, Vidar Thomee, andLars B. Wahlbin. Finite-element meth-ods for a strongly damped wave equa-tion. IMA Journal of Numerical Anal-ysis, 11(1):115–142, 1991. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Latouche:1994:NIN

[1192] Guy Latouche. Newton’s iteration fornon-linear equations in Markov chains.IMA Journal of Numerical Analysis,14(4):583–598, 1994. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Laurita:2012:QMC

[1193] Concetta Laurita. A quadraturemethod for Cauchy singular integralequations with index −1. IMA Jour-nal of Numerical Analysis, 32(3):1071–1095, July 2012. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/32/3/1071.full.pdf+html.

LeTallec:1986:NSV

[1194] Patrick Le Tallec. Numerical solu-tion of viscoplastic flow problems byaugmented Lagrangians. IMA Journal

REFERENCES 198


Leake:1989:AOS

[1195] D. Leake and H. Mukai. Accelerationof one-step stationary root-finding al-gorithms. IMA Journal of NumericalAnalysis, 9(1):81–93, 1989. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Lechleiter:2012:SVI

[1196] Armin Lechleiter and Dinh LiemNguyen. Spectral volumetric integralequation methods for acoustic mediumscattering in a 3D waveguide. IMAJournal of Numerical Analysis, 32(3):813–844, July 2012. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/32/3/813.full.pdf+html.

Lederer:2018:PRS

[1197] Philip L. Lederer and JoachimSchoberl. Polynomial robust stabilityanalysis for H(div)-conforming finiteelements for the Stokes equations. IMAJournal of Numerical Analysis, 38(4):1832–1860, October 16, 2018. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/38/4/1832/4096776.

Ledoux:2010:ENS

[1198] Veerle Ledoux, Marnix Van Daele, andGuido Vanden Berghe. Efficient nu-merical solution of the one-dimensionalSchrodinger eigenvalue problem us-ing Magnus integrators. IMA Jour-nal of Numerical Analysis, 30(3):751–

776, July 2010. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/30/3/751; http://imajna.oxfordjournals.org/cgi/reprint/30/3/751.

Lee:2012:STA

[1199] Mun Bae Lee, Yeon Ju Lee, and JunghoYoon. Sobolev-type Lp-approximationorders of radial basis function in-terpolation to functions in fractionalSobolev spaces. IMA Journal ofNumerical Analysis, 32(1):279–293,January 2012. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/32/1/279.full.pdf+html.

Lehmann:1986:CEB

[1200] Reinhard Lehmann. Computable errorbounds in the finite-element method.IMA Journal of Numerical Analysis,6(3):265–271, 1986. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Lehrenfeld:2018:AHO

[1201] Christoph Lehrenfeld and ArnoldReusken. Analysis of a high-orderunfitted finite element method for el-liptic interface problems. IMA Jour-nal of Numerical Analysis, 38(3):1351–1387, July 17, 2018. CODEN IJ-NADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/38/3/1351/4084723.

Leimkuhler:2016:CAE

[1202] Benedict Leimkuhler, Charles Matthews,and Gabriel Stoltz. The com-

REFERENCES 199

putation of averages from equilib-rium and nonequilibrium Langevinmolecular dynamics. IMA Journalof Numerical Analysis, 36(1):13–79,January 2016. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/36/1/13.

Lemaire:2021:BHH

[1203] Simon Lemaire. Bridging the hy-brid high-order and virtual elementmethods. IMA Journal of NumericalAnalysis, 41(1):549–593, January 2021.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic). URLhttp://academic.oup.com/imajna/article/41/1/549/5671601.

Leok:2012:PCV

[1204] Melvin Leok and Tatiana Shin-gel. Prolongation-collocation vari-ational integrators. IMA Journalof Numerical Analysis, 32(3):1194–1216, July 2012. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/32/3/1194.full.pdf+html.

Leok:2011:DHV

[1205] Melvin Leok and Jingjing Zhang. Dis-crete Hamiltonian variational inte-grators. IMA Journal of Numer-ical Analysis, 31(4):1497–1532, Oc-tober 2011. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/31/4/1497.full.pdf+html.

LeVeque:1988:FAS

[1206] Randall J. LeVeque and Lloyd N. Tre-fethen. Fourier analysis of the SORiteration. IMA Journal of NumericalAnalysis, 8(3):273–279, 1988. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic).

Levesley:1994:CCM

[1207] J. Levesley, D. M. Hough, and S. N.Chandler-Wilde. A Chebyshev colloca-tion method for solving Symm’s inte-gral equation for conformal mapping:a partial error analysis. IMA Jour-nal of Numerical Analysis, 14(1):57–79,1994. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Levin:1986:MRS

[1208] David Levin. Multidimensional re-construction by set-valued approxima-tions. IMA Journal of Numerical Anal-ysis, 6(2):173–184, 1986. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Levine:1985:SRG

[1209] Nick Levine. Superconvergent re-covery of the gradient from piece-wise linear finite element approxima-tions. IMA Journal of Numerical Anal-ysis, 5(4):407–427, 1985. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Levitin:2004:SPS

[1210] Michael Levitin and Eugene Shar-gorodsky. Spectral pollution andsecond-order relative spectra for self-adjoint operators. IMA Journalof Numerical Analysis, 24(3):393–416, July 2004. CODEN IJNADH.

REFERENCES 200


Levy:2005:SSD

[1211] Doron Levy. A stable semi-discretecentral scheme for the two-dimensionalincompressible Euler equations. IMAJournal of Numerical Analysis, 25(3):507–522, July 2005. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imanum.oxfordjournals.org/cgi/content/abstract/25/3/507; http://imanum.oxfordjournals.org/cgi/reprint/25/3/507.

Li:2010:NCR

[1212] Buyang Li and Weiwei Sun. Newton–Cotes rules for Hadamard finite-partintegrals on an interval. IMA Jour-nal of Numerical Analysis, 30(4):1235–1255, October 2010. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/30/4/1235.full.pdf+html.

Li:1983:FEF

[1213] Chin Hsien Li. A finite-element front-tracking enthalpy method for Stefanproblems. IMA Journal of NumericalAnalysis, 3(1):87–107, 1983. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic).

Li:2006:NMR

[1214] Chong Li and Jinhua Wang. New-ton’s method on Riemannian mani-folds: Smale’s point estimate theory

under the γ-condition. IMA Jour-nal of Numerical Analysis, 26(2):228–251, April 2006. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imanum.oxfordjournals.org/cgi/content/abstract/26/2/228; http://imanum.oxfordjournals.org/cgi/reprint/26/2/228.

Li:2018:EAV

[1215] Guanglian Li, Daniel Peterseim, andMira Schedensack. Error analysisof a variational multiscale stabiliza-tion for convection-dominated diffusionequations in two dimensions. IMAJournal of Numerical Analysis, 38(3):1229–1253, July 17, 2018. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/38/3/1229/3871420.

Li:2003:LGC

[1216] Huiyuan Li, Hua Wu, and Hep-ing Ma. The Legendre Galerkin-Chebyshev collocation method forBurgers-like equations. IMA Jour-nal of Numerical Analysis, 23(1):109–124, January 2003. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_23/Issue_01/230109.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_23/Issue_01/pdf/230109.pdf.

Li:2003:NSL

[1217] Journal Changjun Li, Zheng Li,David J. Evans, and Tie Zhang. Anote on an SOR-like method for aug-mented systems. IMA Journal ofNumerical Analysis, 23(4):581–592,

REFERENCES 201

October 2003. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_23/Issue_04/230581.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_23/Issue_04/pdf/230581.pdf.

Li:2011:CDF

[1218] Qingna Li and Dong-Hui Li. Aclass of derivative-free methods forlarge-scale nonlinear monotone equa-tions. IMA Journal of Numeri-cal Analysis, 31(4):1625–1635, Oc-tober 2011. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/31/4/1625.full.pdf+html.

Li:2011:SNA

[1219] Tiexiang Li, Eric King-Wah Chu, JongJuang, and Wen-Wei Lin. Solutionof a nonsymmetric algebraic Riccatiequation from a one-dimensional mul-tistate transport model. IMA Jour-nal of Numerical Analysis, 31(4):1453–1467, October 2011. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/31/4/1453.full.pdf+html.

Li:2019:CEN

[1220] Xiaoyue Li, Xuerong Mao, and GeorgeYin. Corrigendum to: Explicit numer-ical approximations for stochastic dif-ferential equations in finite and infinitehorizons: truncation methods, conver-gence in p th moment and stability.IMA Journal of Numerical Analysis,39(4):2168, October 2019. CODENIJNADH. ISSN 0272-4979 (print),

1464-3642 (electronic). URL http://academic.oup.com/imajna/article/39/4/2168/5059705. See [1221].

Li:2019:ENA

[1221] Xiaoyue Li, Xuerong Mao, and GeorgeYin. Explicit numerical approxima-tions for stochastic differential equa-tions in finite and infinite horizons:truncation methods, convergence in pth moment and stability. IMA Jour-nal of Numerical Analysis, 39(2):847–892, April 2019. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://academic.oup.com/imajna/article/39/2/847/4964837. See corrigendum [1220].

Li:2012:GQA

[1222] Xingjie Helen Li and Mitchell Luskin.A generalized quasinonlocal atomistic-to-continuum coupling method withfinite-range interaction. IMA Jour-nal of Numerical Analysis, 32(2):373–393, April 2012. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/32/2/373.full.pdf+html.

Li:2005:PEO

[1223] Zhengfeng Li, Michael R. Osborne,and Tania Prvan. Parameter esti-mation of ordinary differential equa-tions. IMA Journal of Numeri-cal Analysis, 25(2):264–285, April2005. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).URL http://imanum.oupjournals.org/cgi/content/abstract/25/2/264;http://imanum.oupjournals.org/


REFERENCES 202

Liang:1999:FEM

[1224] Dong Liang and Bo Zhang. A finiteelement method for a unidimensionalsingle-phase nonlinear free boundaryproblem in groundwater flow. IMAJournal of Numerical Analysis, 19(4):563–581, October 1999. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_19/Issue_04/190563.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_19/Issue_04/pdf/190563.pdf.

Liang:2020:CMI

[1225] Hui Liang and Hermann Brunner.Collocation methods for integro-differential algebraic equations with in-dex 1. IMA Journal of NumericalAnalysis, 40(2):850–885, April 2020.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic). URLhttp://academic.oup.com/imajna/article/40/2/850/5365252.

Liao:2016:ERS

[1226] Qifeng Liao and David Silvester. Er-ratum to “Robust stabilized Stokesapproximation methods for highlystretched grids”. IMA Journal ofNumerical Analysis, 36(2):984, April2016. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://imajna.oxfordjournals.org/content/36/2/984. See [1187].

Liesen:2016:PNI

[1227] Jorg Liesen. Ptak’s nondiscrete in-duction and its application to ma-trix iterations. IMA Journal ofNumerical Analysis, 36(3):1242–1260,July 2016. CODEN IJNADH.


Lin:2005:SEN

[1228] Qun Lin, Lutz Tobiska, and AihuiZhou. Superconvergence and extrap-olation of non-conforming low order fi-nite elements applied to the Poissonequation. IMA Journal of Numeri-cal Analysis, 25(1):160–181, January2005. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).URL http://imanum.oupjournals.org/cgi/content/abstract/25/1/160;http://imanum.oupjournals.org/


Lin:2008:MNM

[1229] Yiqin Lin, Liang Bao, and YiminWei. A modified Newton methodfor solving non-symmetric algebraicRiccati equations arising in trans-port theory. IMA Journal of Nu-merical Analysis, 28(2):215–224, April2008. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/28/2/215; http://imajna.oxfordjournals.org/cgi/reprint/28/2/215.

Linke:2017:OVE

[1230] A. Linke, C. Merdon, and W. Woll-ner. Optimal L2 velocity errorestimate for a modified pressure-robust Crouzeix–Raviart Stokes ele-ment. IMA Journal of NumericalAnalysis, 37(1):354–374, January 1,2017. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

REFERENCES 203

URL https://academic.oup.com/imajna/article/37/1/354/2669970/Optimal-L2-velocity-error-estimate-for-a-modified.

Linss:2000:AGF

[1231] Torsten Linß. Analysis of a Galerkinfinite element method on a Bakhvalov-Shishkin mesh for a linear convection-diffusion problem. IMA Journal ofNumerical Analysis, 20(4):621–632,October 2000. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_20/Issue_04/200621abs.pdf; http://www3.oup.co.uk/imanum/hdb/Volume_20/Issue_04/pdf/200621.pdf.

Linss:2000:NSI

[1232] Torsten Linß. On the numericalsolution of involutive ordinary dif-ferential systems. IMA Journal ofNumerical Analysis, 20(4):561–599,October 2000. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_20/Issue_04/200561abs.pdf; http://www3.oup.co.uk/imanum/hdb/Volume_20/Issue_04/pdf/200561.pdf.

Linss:2004:EEF

[1233] Torsten Linss. Error expansionfor a first-order upwind differencescheme applied to a model convection-diffusion problem. IMA Journalof Numerical Analysis, 24(2):239–253, April 2004. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_24/Issue_02/240239.sgm.abs.html; http:


Linss:2009:LAM

[1234] Torsten Linß and Niall Madden. Layer-adapted meshes for a linear system ofcoupled singularly perturbed reaction–diffusion problems. IMA Journalof Numerical Analysis, 29(1):109–125,January 2009. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic).

Lipman:2010:APS

[1235] Yaron Lipman and David Levin. Ap-proximating piecewise-smooth func-tions. IMA Journal of Numeri-cal Analysis, 30(4):1159–1183, Oc-tober 2010. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/30/4/1159.full.pdf+html.

Liu:2009:TSS

[1236] Fang Liu, Niall Madden, MartinStynes, and Aihui Zhou. A two-scalesparse grid method for a singularlyperturbed reaction–diffusion problemin two dimensions. IMA Journal ofNumerical Analysis, 29(4):986–1007,October 2009. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/29/4/986; http://imajna.oxfordjournals.org/cgi/reprint/29/4/986.

Liu:2019:AMP

[1237] Hailiang Liu, Yunqing Huang, Weny-ing Lu, and Nianyu Yi. On accuracyof the mass-preserving DG method to

REFERENCES 204

multi-dimensional Schrodinger equa-tions. IMA Journal of NumericalAnalysis, 39(2):760–791, April 2019.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic). URLhttp://academic.oup.com/imajna/article/39/2/760/4959865.

Liu:2006:MSR

[1238] Hongyu Liu and Kai Zhang. Multi-symplectic Runge–Kutta-type meth-ods for Hamiltonian wave equa-tions. IMA Journal of Numeri-cal Analysis, 26(2):252–271, April2006. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://imanum.oxfordjournals.org/cgi/content/abstract/26/2/252; http://imanum.oxfordjournals.org/cgi/reprint/26/2/252.

Liu:2013:MPS

[1239] Jie Liu. A mass-preserving splittingscheme for the stochastic Schrodingerequation with multiplicative noise.IMA Journal of Numerical Analysis, 33(4):1469–1479, October 2013. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://imajna.oxfordjournals.org/content/33/4/1469.full.pdf+html.

Liu:1990:SMN

[1240] M. Z. Liu and M. N. Spijker. The sta-bility of the θ-methods in the numericalsolution of delay differential equations.IMA Journal of Numerical Analysis, 10(1):31–48, January 1990. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Liu:2020:EPM

[1241] Tianxiang Liu, Zhaosong Lu, Xiao-jun Chen, and Yu-Hong Dai. An ex-act penalty method for semidefinite-box-constrained low-rank matrix op-timization problems. IMA Journalof Numerical Analysis, 40(1):563–586,January 2020. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://academic.oup.com/imajna/article/40/1/563/5142420.

Liu:2018:SES

[1242] Xiaowei Liu, Martin Stynes, and JinZhang. Supercloseness of edge stabi-lization on Shishkin rectangular meshesfor convection–diffusion problems withexponential layers. IMA Journalof Numerical Analysis, 38(4):2105–2122, October 16, 2018. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/38/4/2105/4108203.

Liu:2020:SAM

[1243] Zhihui Liu and Zhonghua Qiao. Strongapproximation of monotone stochasticpartial differential equations driven bywhite noise. IMA Journal of NumericalAnalysis, 40(2):1074–1093, April 2020.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic). URLhttp://academic.oup.com/imajna/article/40/2/1074/5262676.

Loach:1991:BLS

[1244] P. D. Loach and A. J. Wathen. Onthe best least squares approximationof continuous functions using linearsplines with free knots. IMA Journalof Numerical Analysis, 11(3):393–409,

REFERENCES 205


Lombardi:2011:IEE

[1245] Ariel L. Lombardi. Interpolation er-ror estimates for edge elements onanisotropic meshes. IMA Journal ofNumerical Analysis, 31(4):1683–1712,October 2011. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/31/4/1683.full.pdf+html.

Lopez:1983:SAB

[1246] Luciano Lopez. Stability and asymp-totic behaviour for the numerical so-lution of a reaction-diffusion modelfor a deterministic diffusive epidemic.IMA Journal of Numerical Analysis,3(3):341–351, 1983. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Lopez-Fernandez:2013:GCQ

[1247] Maria Lopez-Fernandez and StefanSauter. Generalized convolutionquadrature with variable time step-ping. IMA Journal of Numeri-cal Analysis, 33(4):1156–1175, Oc-tober 2013. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/33/4/1156.full.pdf+html.

Lopez-Gomez:1992:SSM

[1248] J. Lopez-Gomez, J. C. Eilbeck,M. Molina, and K. N. Duncan. Struc-ture of solution manifolds in a stronglycoupled elliptic system. IMA Jour-nal of Numerical Analysis, 12(3):405–428, 1992. CODEN IJNADH. ISSN

0272-4979 (print), 1464-3642 (elec-tronic). IMA Conference on Dynamicsof Numerics and Numerics of Dynamics(Bristol, 1990).

LopezMarcos:1988:SCN

[1249] J. C. Lopez Marcos and J. M. Sanz-Serna. Stability and convergence in nu-merical analysis. III. Linear investiga-tion of nonlinear stability. IMA Jour-nal of Numerical Analysis, 8(1):71–84,1988. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

LopezMarcos:1994:NAP

[1250] M. A. Lopez Marcos. Numericalanalysis of pseudospectral methods forthe Kuramoto–Sivashinsky equation.IMA Journal of Numerical Analysis,14(2):233–242, 1994. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Lorcher:2007:LWT

[1251] Frieder Lorcher and Claus-DieterMunz. Lax–Wendroff-type schemesof arbitrary order in several spacedimensions. IMA Journal of Nu-merical Analysis, 27(3):593–615, July2007. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/27/3/593; http://imajna.oxfordjournals.org/cgi/reprint/27/3/593.

Lord:2004:NSS

[1252] Gabriel J. Lord and Jacques Rouge-mont. A numerical scheme forstochastic PDEs with Gevrey reg-ularity. IMA Journal of Numeri-cal Analysis, 24(4):587–604, October

REFERENCES 206

2004. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).URL http://imanum.oupjournals.org/cgi/content/abstract/24/4/587;http://imanum.oupjournals.org/cgi/reprint/24/4/587.

Lord:2013:SEI

[1253] Gabriel J. Lord and Antoine Tam-bue. Stochastic exponential inte-grators for the finite element dis-cretization of SPDEs for multiplica-tive and additive noise. IMA Jour-nal of Numerical Analysis, 33(2):515–543, April 2013. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/33/2/515.full.pdf+html.

Lu:1993:SBM

[1254] Lian Hua Lu. The stability of theblock θ-methods. IMA Journal of Nu-merical Analysis, 13(1):101–114, 1993.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Lube:2002:SFE

[1255] Gert Lube and Maxim A. Olshan-skii. Stable finite-element calcula-tion of incompressible flows using therotation form of convection. IMAJournal of Numerical Analysis, 22(3):437–461, July 2002. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_22/Issue_03/220437.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_22/Issue_03/pdf/220437.pdf.

Lubich:1983:SLM

[1256] Ch. Lubich. On the stability of linearmultistep methods for Volterra convo-lution equations. IMA Journal of Nu-merical Analysis, 3(4):439–465, 1983.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Lubich:1986:SAC

[1257] Ch. Lubich. A stability analysis of con-volution quadratures for Abel–Volterraintegral equations. IMA Journal ofNumerical Analysis, 6(1):87–101, 1986.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Lubich:1987:FLM

[1258] Ch. Lubich. Fractional linear multi-step methods for Abel–Volterra inte-gral equations of the first kind. IMAJournal of Numerical Analysis, 7(1):97–106, 1987. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic).

Lubich:1995:LIT

[1259] Ch. Lubich and A. Ostermann. Lin-early implicit time discretization ofnon-linear parabolic equations. IMAJournal of Numerical Analysis, 15(4):555–583, 1995. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic).

Lubich:2013:BDT

[1260] Christian Lubich, Dhia Mansour, andChandrasekhar Venkataraman. Back-ward difference time discretizationof parabolic differential equations onevolving surfaces. IMA Journal ofNumerical Analysis, 33(4):1365–1385,October 2013. CODEN IJNADH.

REFERENCES 207


Ludwig:2016:CSF

[1261] Lars Ludwig and Hans-Goerg Roos.Convergence and supercloseness of a fi-nite element method for a singularlyperturbed convection-diffusion prob-lem on an L-shaped domain. IMA Jour-nal of Numerical Analysis, 36(3):1261–1280, July 2016. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/36/3/1261.

Ludwig:2014:FES

[1262] Lars Ludwig and Hans-Gorg Roos.Finite element superconvergence onShishkin meshes for convection-diffusion problems with corner sin-gularities. IMA Journal of Numer-ical Analysis, 34(2):782–799, April2014. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://imajna.oxfordjournals.org/content/34/2/782.full.pdf+html.

Lui:2009:LNO

[1263] S. H. Lui. A Lions non-overlappingdomain decomposition method fordomains with an arbitrary inter-face. IMA Journal of Numeri-cal Analysis, 29(2):332–349, April2009. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/29/2/332; http://imajna.oxfordjournals.org/cgi/reprint/29/2/332.

Lund:1989:SSG

[1264] John Lund, Kenneth L. Bowers, andKelly M. McArthur. Symmetrizationof the sinc-Galerkin method with blocktechniques for elliptic equations. IMAJournal of Numerical Analysis, 9(1):29–46, 1989. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic).

Lund:1984:SCM

[1265] John R. Lund and Bruce V. Riley. Asinc-collocation method for the com-putation of the eigenvalues of theradial Schrodinger equation. IMAJournal of Numerical Analysis, 4(1):83–98, January 1984. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Lyche:1988:DRS

[1266] T. Lyche and K. Mørken. A data-reduction strategy for splines with ap-plications to the approximation of func-tions and data. IMA Journal of Nu-merical Analysis, 8(2):185–208, 1988.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Lyness:1989:ILR

[1267] J. N. Lyness. An introduction to lat-tice rules and their generator matri-ces. IMA Journal of Numerical Anal-ysis, 9(3):405–419, 1989. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Ma:2018:EEC

[1268] Chupeng Ma, Liqun Cao, and Yan-ping Lin. Error estimates of Crank–Nicolson Galerkin method for the time-dependent Maxwell–Schrodinger equa-tions under the Lorentz gauge. IMA

REFERENCES 208

Journal of Numerical Analysis, 38(4):2074–2104, October 16, 2018. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/38/4/2074/4321721.

Ma:1987:FPM

[1269] He Ping Ma and Ben Yu Guo. TheFourier pseudospectral method for two-dimensional vorticity equations. IMAJournal of Numerical Analysis, 7(1):47–60, 1987. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic).

Ma:2006:PEE

[1270] Jingtang Ma and Hermann Brun-ner. A posteriori error estimatesof discontinuous Galerkin methodsfor non-standard Volterra integro-differential equations. IMA Journalof Numerical Analysis, 26(1):78–95,January 2006. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imanum.oxfordjournals.org/cgi/content/abstract/26/1/78; http://imanum.oxfordjournals.org/cgi/reprint/26/1/78.

Ma:2017:UMN

[1271] K. Ma and P. A. Forsyth. An uncon-ditionally monotone numerical schemefor the two-factor uncertain volatil-ity model. IMA Journal of Numer-ical Analysis, 37(2):905–944, April2017. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).URL https://academic.oup.com/imajna/article/37/2/905/2669987/An-unconditionally-monotone-numerical-scheme-for.

Ma:2018:WEA

[1272] Lina Ma, Jie Shen, Li-Lian Wang, andZhiguo Yang. Wavenumber explicitanalysis for time-harmonic Maxwellequations in a spherical shell and spec-tral approximations. IMA Journalof Numerical Analysis, 38(2):810–851,April 18, 2018. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://academic.oup.com/imajna/article/38/2/810/3844800.

Mackenzie:2011:ASC

[1273] J. A. Mackenzie and A. Madzva-muse. Analysis of stability andconvergence of finite-difference meth-ods for a reaction–diffusion prob-lem on a one-dimensional growingdomain. IMA Journal of Numer-ical Analysis, 31(1):212–232, Jan-uary 2011. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/31/1/212.full.pdf+html.

Mackenzie:2007:ASC

[1274] J. A. Mackenzie and W. R. Mekwi.An analysis of stability and conver-gence of a finite-difference discretiza-tion of a model parabolic PDE in 1Dusing a moving mesh. IMA Jour-nal of Numerical Analysis, 27(3):507–528, July 2007. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/27/3/507; http://imajna.oxfordjournals.org/cgi/reprint/27/3/507.

REFERENCES 209

Mackenzie:2012:USS

[1275] J. A. Mackenzie and W. R. Mekwi.An unconditionally stable second-order accurate ale-fem scheme fortwo-dimensional convection-diffusionproblems. IMA Journal of Numer-ical Analysis, 32(3):888–905, July2012. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://imajna.oxfordjournals.org/content/32/3/888.full.pdf+html.

Mackenzie:1999:UCA

[1276] John Mackenzie. Uniform con-vergence analysis of an upwindfinite-difference approximation of aconvection-diffusion boundary valueproblem on an adaptive grid. IMAJournal of Numerical Analysis, 19(2):233–249, April 1999. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_19/Issue_02/190233.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_19/Issue_02/pdf/190233.pdf.

Madden:2003:UCN

[1277] Journal Niall Madden and MartinStynes. A uniformly convergent nu-merical method for a coupled sys-tem of two singularly perturbed lin-ear reaction-diffusion problems. IMAJournal of Numerical Analysis, 23(4):627–644, October 2003. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_23/Issue_04/230627.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_23/Issue_04/pdf/230627.pdf.

Maes:2006:HBP

[1278] Jan Maes and Adhemar Bultheel.A hierarchical basis preconditionerfor the biharmonic equation on thesphere. IMA Journal of Numer-ical Analysis, 26(3):563–583, July2006. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://comjnl.oxfordjournals.org/cgi/content/abstract/26/3/563; http://comjnl.oxfordjournals.org/cgi/reprint/26/3/563.

Maeztu:1989:SCF

[1279] J. I. Maeztu. On symmetric cubatureformulae for planar regions. IMA Jour-nal of Numerical Analysis, 9(2):167–183, 1989. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic).

Maire:2006:MCM

[1280] Sylvain Maire and Denis Talay. Ona Monte Carlo method for neu-tron transport criticality computa-tions. IMA Journal of Numer-ical Analysis, 26(4):657–685, Oc-tober 2006. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/26/4/657; http://imajna.oxfordjournals.org/cgi/reprint/26/4/657.

Makrelov:1985:CTM

[1281] I. Makrelov and Kh. Semerdzhiev. Onthe convergence of two methods forthe simultaneous finding of all roots ofexponential equations. IMA Journalof Numerical Analysis, 5(2):191–200,

REFERENCES 210


Makridakis:1995:HOF

[1282] Charalambos G. Makridakis. High-order fully discrete methods for theequations of elastic wave propagationwith absorbing boundary conditions.IMA Journal of Numerical Analysis,15(3):377–404, 1995. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Makroglou:1982:HMN

[1283] A. Makroglou. Hybrid methods in thenumerical solution of Volterra integro-differential equations. IMA Journal ofNumerical Analysis, 2(1):21–35, Jan-uary 1982. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). See errata [1284].

Makroglou:1983:EHM

[1284] A. Makroglou. Errata: “Hybridmethods in the numerical solution ofVolterra integro-differential equations”[IMA J. Numer. Anal. 2 (1982), no. 1,21–35; MR 83d:65352]. IMA Journalof Numerical Analysis, 3(3):381–382,1983. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).See [1283].

Malek:1995:PCM

[1285] Alaeddin Malek and Timothy N.Phillips. Pseudospectral collocationmethods for fourth-order differentialequations. IMA Journal of Numer-ical Analysis, 15(4):523–553, 1995.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Malkmus:2018:GSM

[1286] T. Malkmus, M. Ruzicka, S. Eck-stein, and I. Toulopoulos. Gener-alizations of SIP methods to sys-tems with p-structure. IMA Jour-nal of Numerical Analysis, 38(3):1420–1451, July 17, 2018. CODEN IJ-NADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/38/3/1420/4108120.

Maltese:2021:IMS

[1287] David Maltese and Antonın Novotny.Implicit MAC scheme for compressibleNavier–Stokes equations: low Machasymptotic error estimates. IMA Jour-nal of Numerical Analysis, 41(1):122–163, January 2021. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://academic.oup.com/imajna/article/41/1/122/5824923.

Manneback:1985:MAG

[1288] P. E. Manneback, Ch. Murigande, andPh. L. Toint. A modification of an al-gorithm by Golub and Plemmons forlarge linear least squares in the contextof Doppler positioning. IMA Journalof Numerical Analysis, 5(2):221–233,1985. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Manni:1997:MIO

[1289] Carla Manni and Paul Sablonniere.Monotone interpolation of order 3by C2 cubic splines. IMA Jour-nal of Numerical Analysis, 17(2):305–320, April 1997. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.

REFERENCES 211

oup.co.uk/imanum/hdb/Volume_17/Issue_02/170305.sgm.abs.html.

Mannikko:1994:RMI

[1290] T. Mannikko, P. Neittaanmaki, andD. Tiba. A rapid method for the iden-tification of the free boundary in two-phase Stefan problems. IMA Journalof Numerical Analysis, 14(3):411–420,1994. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Manoranjan:1993:SET

[1291] V. S. Manoranjan and R. Drake.A spectrum enveloping techniquefor convection-diffusion computations.IMA Journal of Numerical Analysis,13(3):431–443, 1993. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Manouzi:2001:MFE

[1292] H. Manouzi and M. Farhloul. Mixedfinite element analysis of a non-linearthree-fields Stokes model. IMA Jour-nal of Numerical Analysis, 21(1):143–164, January 2001. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_01/210143abs.pdf; http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_01/pdf/210143.pdf.

Manouzi:2004:MFE

[1293] Hassan Manouzi and Thomas GormTheting. Mixed finite elementapproximation for the stochasticpressure equation of Wick type.IMA Journal of Numerical Anal-ysis, 24(4):605–634, October 2004.CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

URL http://imanum.oupjournals.org/cgi/content/abstract/24/4/605;http://imanum.oupjournals.org/


Marazzina:2008:SPD

[1294] Daniele Marazzina. Stability proper-ties of discontinuous Galerkin methodsfor 2D elliptic problems. IMA Jour-nal of Numerical Analysis, 28(3):552–579, July 2008. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/28/3/552; http://imajna.oxfordjournals.org/cgi/reprint/28/3/552.

Marin:2014:CTR

[1295] Oana Marin, Olof Runborg, and Anna-Karin Tornberg. Corrected trape-zoidal rules for a class of singu-lar functions. IMA Journal of Nu-merical Analysis, 34(4):1509–1540,October 2014. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/34/4/1509.

Marinov:1986:TEI

[1296] Corneliu Marinov. Truncation errorsfor infinite linear systems. IMA Jour-nal of Numerical Analysis, 6(1):51–63,1986. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Markham:1990:CGT

[1297] G. Markham. Conjugate gradient typemethods for indefinite, asymmetric,and complex systems. IMA Journalof Numerical Analysis, 10(2):155–170,1990. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

REFERENCES 212

Marletta:2010:NDM

[1298] Marco Marletta. Neumann–Dirichletmaps and analysis of spectral pollutionfor non-self-adjoint elliptic PDEs withreal essential spectrum. IMA Jour-nal of Numerical Analysis, 30(4):917–939, October 2010. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/30/4/917.full.pdf+html.

Marquez:2015:SCF

[1299] Antonio Marquez, Salim Meddahi, andFrancisco-Javier Sayas. Strong cou-pling of finite element methods for theStokes–Darcy problem. IMA Jour-nal of Numerical Analysis, 35(2):969–988, April 2015. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/35/2/969.

Marsden:1984:CSI

[1300] M. J. Marsden. Cubic X-spline in-terpolants. IMA Journal of Numeri-cal Analysis, 4(2):203–207, April 1984.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Martins:1995:EBM

[1301] M. Madalena Martins and M. EstelaTrigo. An error bound for the modi-fied successive overrelaxation method.IMA Journal of Numerical Analysis,15(4):461–473, 1995. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Maset:2013:SPE

[1302] S. Maset and M. Zennaro. Stabil-ity properties of explicit exponential

Runge–Kutta methods. IMA Jour-nal of Numerical Analysis, 33(1):111–135, January 2013. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/33/1/111.full.pdf+html.

Mason:1981:NMI

[1303] J. C. Mason. Near-minimax interpo-lation by a polynomial in z and z−1

on a circular annulus. IMA Journalof Numerical Analysis, 1(3):359–367,1981. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Mason:1983:NBA

[1304] J. C. Mason. Near-best Lp approxima-tions by real and complex Chebyshevseries. IMA Journal of Numerical Anal-ysis, 3(4):493–504, 1983. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Mason:1984:NBA

[1305] J. C. Mason and B. L. Chalmers. Near-best Lp approximations by Fourier,Taylor and Laurent series. IMA Jour-nal of Numerical Analysis, 4(1):1–8,January 1984. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic).

Mastroianni:1994:NIB

[1306] G. Mastroianni and G. Monegato.Nystrom interpolants based on thezeros of Legendre polynomials for anoncompact integral operator equa-tion. IMA Journal of Numerical Anal-ysis, 14(1):81–95, 1994. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

REFERENCES 213

Mastroianni:1997:NIB

[1307] G. Mastroianni and G. Monegato.Nystrom interpolants based on ze-ros of Laguerre polynomials for someWeiner-Hopf equations. IMA Jour-nal of Numerical Analysis, 17(4):621–642, October 1997. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_17/Issue_04/170621.sgm.abs.html.

Mastroianni:2009:SNM

[1308] Giuseppe Mastroianni and Gradimir V.Milovanovic. Some numerical meth-ods for second-kind Fredholm in-tegral equations on the real semi-axis. IMA Journal of Numeri-cal Analysis, 29(4):1046–1066, Oc-tober 2009. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/29/4/1046; http://imajna.oxfordjournals.org/cgi/reprint/29/4/1046.

Mastroianni:2014:GQR

[1309] Giuseppe Mastroianni, Incoronata No-tarangelo, and Gradimir V. Milo-vanovic. Gaussian quadrature ruleswith an exponential weight on thereal semiaxis. IMA Journal of Nu-merical Analysis, 34(4):1654–1685,October 2014. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/34/4/1654.

Mastronardi:2015:SBS

[1310] Nicola Mastronardi and Paul VanDooren. A structurally backward

stable algorithm for solving the in-definite least squares problem withequality constraints. IMA Journalof Numerical Analysis, 35(1):107–132,January 2015. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/35/1/107.

Matos:1990:CAM

[1311] Ana C. Matos. A convergence accel-eration method based on a good esti-mation of the absolute value of the er-ror. IMA Journal of Numerical Anal-ysis, 10(2):243–251, 1990. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Matos:2000:LDO

[1312] Ana C. Matos. Linear difference oper-ators and acceleration methods. IMAJournal of Numerical Analysis, 20(3):359–388, July 2000. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_20/Issue_03/200359.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_20/Issue_03/pdf/200359.pdf.

Mattheij:1992:DBS

[1313] R. M. M. Mattheij. Decouplingof bidiagonal systems involving sin-gular blocks. IMA Journal of Nu-merical Analysis, 12(2):301–317, 1992.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Matthies:2015:LPT

[1314] Gunar Matthies and Lutz Tobiska. Lo-cal projection type stabilization ap-plied to inf-sup stable discretizations

REFERENCES 214

of the Oseen problem. IMA Jour-nal of Numerical Analysis, 35(1):239–269, January 2015. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/35/1/239.

Mazya:1996:AAU

[1315] Vladimir Maz′ya and Gunther Schmidt.On approximate approximations us-ing Gaussian kernels. IMA Jour-nal of Numerical Analysis, 16(1):13–29, January 1996. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_16/Issue_01/160013.sgm.abs.html.

McKee:1983:DMB

[1316] S. McKee. Discretization methods andblock isoclinal matrices. IMA Journalof Numerical Analysis, 3(4):467–491,1983. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

McKee:2000:ETM

[1317] Sean McKee, Tao Tang, and TeresaDiogo. An Euler-type method for two-dimensional Volterra integral equa-tions of the first kind. IMA Jour-nal of Numerical Analysis, 20(3):423–440, July 2000. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_20/Issue_03/200423.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_20/Issue_03/pdf/200423.pdf.

McLachlan:2003:SDP

[1318] Journal Robert I. McLachlan. Spa-tial discretization of partial differen-tial equations with integrals. IMA

Journal of Numerical Analysis, 23(4):645–664, October 2003. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_23/Issue_04/230645.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_23/Issue_04/pdf/230645.pdf.

McLachlan:2015:CLP

[1319] Robert I. McLachlan, Klas Modin,and Olivier Verdier. Collective Lie–Poisson integrators on R3. IMA Jour-nal of Numerical Analysis, 35(2):546–560, April 2015. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/35/2/546.

McLean:1989:AEE

[1320] W. McLean. Asymptotic error expan-sions for numerical solutions of inte-gral equations. IMA Journal of Nu-merical Analysis, 9(3):373–384, 1989.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

McLean:1994:FDS

[1321] W. McLean and I. H. Sloan. A fullydiscrete and symmetric boundary el-ement method. IMA Journal of Nu-merical Analysis, 14(3):311–345, 1994.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

McLean:2004:TDE

[1322] William McLean and Vidar Thomee.Time discretization of an evolutionequation via Laplace transforms. IMAJournal of Numerical Analysis, 24(3):439–463, July 2004. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-

REFERENCES 215

3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_24/Issue_03/240439.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_24/Issue_03/pdf/240439.pdf.

McLean:2010:MNE

[1323] William McLean and Vidar Thomee.Maximum-norm error analysis of a nu-merical solution via Laplace transfor-mation and quadrature of a fractional-order evolution equation. IMA Jour-nal of Numerical Analysis, 30(1):208–230, January 2010. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/30/1/208; http://imajna.oxfordjournals.org/cgi/reprint/30/1/208.

McLeod:1982:GDD

[1324] R. J. Y. McLeod and J. M. Sanz-Serna. Geometrically derived differenceformulae for the numerical integrationof trajectory problems. IMA Journal ofNumerical Analysis, 2(3):357–370, July1982. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Meddahi:1999:MDM

[1325] Salim Meddahi and Antonio Marquez.A multidomain discretization methodwith local mesh refinement. IMAJournal of Numerical Analysis, 19(2):251–271, April 1999. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_19/Issue_02/190251.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_19/Issue_02/pdf/190251.pdf.

Meddahi:2015:FEA

[1326] Salim Meddahi, David Mora, andRodolfo Rodrıguez. A finite el-ement analysis of a pseudostressformulation for the Stokes eigen-value problem. IMA Journal ofNumerical Analysis, 35(2):749–766,April 2015. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/35/2/749.

Meek:1982:TST

[1327] P. C. Meek and J. Norbury. Two-stage,two-level finite difference schemes fornonlinear parabolic equations. IMAJournal of Numerical Analysis, 2(3):335–356, July 1982. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Meerbergen:2016:IRR

[1328] Karl Meerbergen. An implicitlyrestarted rational Krylov strategy forLyapunov inverse iteration. IMA Jour-nal of Numerical Analysis, 36(2):655–674, April 2016. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/36/2/655.

Meerbergen:2017:CPA

[1329] Karl Meerbergen, Emre Mengi, WimMichiels, and Roel Van Beeumen.Computation of pseudospectral ab-scissa for large-scale nonlinear eigen-value problems. IMA Journal ofNumerical Analysis, 37(4):1831–1863,October 1, 2017. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL https://

REFERENCES 216

academic.oup.com/imajna/article/37/4/1831/2894467. See erratum[1330].

Meerbergen:2018:ECP

[1330] Karl Meerbergen, Emre Mengi, WimMichiels, and Roel Van Beeumen. Er-ratum to: “Computation of pseu-dospectral abscissa for large-scale non-linear eigenvalue problems”. IMAJournal of Numerical Analysis, 38(3):1598, July 17, 2018. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/38/3/1598/4769650. See [1329].

Meerbergen:1996:MTC

[1331] Karl Meerbergen and Dirk Roose. Ma-trix transformations for computingrightmost eigenvalues of large sparsenon-symmetric eigenvalue problems.IMA Journal of Numerical Analysis,16(3):297–346, July 1996. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_16/Issue_03/160297.sgm.abs.html.

Melenk:2014:QOP

[1332] J. M. Melenk, H. Rezaijafari, andB. Wohlmuth. Quasi-optimal a pri-ori estimates for fluxes in mixed finiteelement methods and an applicationto the Stokes–Darcy coupling. IMAJournal of Numerical Analysis, 34(1):1–27, January 2014. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/34/1/1.full.pdf+html.

Melenk:2013:REC

[1333] J. M. Melenk, C. Xenophontos, andL. Oberbroeckling. Robust exponen-tial convergence of hp FEM for singu-larly perturbed reaction-diffusion sys-tems with multiple scales. IMA Jour-nal of Numerical Analysis, 33(2):609–628, April 2013. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/33/2/609.full.pdf+html.

Melenk:1997:REC

[1334] Jens Markus Melenk. On the ro-bust exponential convergence of hpfinite element methods for problemswith boundary layers. IMA Jour-nal of Numerical Analysis, 17(4):577–601, October 1997. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_17/Issue_04/170577.sgm.abs.html.

Melenk:2021:HFF

[1335] Jens Markus Melenk and AlexanderRieder. hp-FEM for the fractional heatequation. IMA Journal of NumericalAnalysis, 41(1):412–454, January 2021.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic). URLhttp://academic.oup.com/imajna/article/41/1/412/5771305.

Melenk:1999:FEM

[1336] Jens Markus Melenk and ChristophSchwab. An hp finite elementmethod for convection-diffusion prob-lems in one dimension. IMA Jour-nal of Numerical Analysis, 19(3):425–453, July 1999. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-

REFERENCES 217

3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_19/Issue_03/190425.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_19/Issue_03/pdf/190425.pdf.

Meng:2018:DDE

[1337] Xiong Meng and Jennifer K. Ryan.Divided difference estimates and ac-curacy enhancement of discontinuousGalerkin methods for nonlinear sym-metric systems of hyperbolic conser-vation laws. IMA Journal of Nu-merical Analysis, 38(1):125–155, Jan-uary 25, 2018. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://academic.oup.com/imajna/article/38/1/125/3038023.

Meng:2012:SLD

[1338] Xiong Meng, Chi-Wang Shu, andBoying Wu. Superconvergence ofthe local discontinuous Galerkinmethod for linear fourth-order time-dependent problems in one space di-mension. IMA Journal of Numer-ical Analysis, 32(4):1294–1328, Oc-tober 2012. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/32/4/1294.full.pdf+html.

Mengi:2005:ACP

[1339] Emre Mengi and Michael L. Over-ton. Algorithms for the computationof the pseudospectral radius and thenumerical radius of a matrix. IMAJournal of Numerical Analysis, 25(4):648–669, October 2005. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http:

//imanum.oxfordjournals.org/cgi/reprint/25/4/648.

Messaoudi:1995:SPR

[1340] A. Messaoudi. Some properties ofthe recursive projection and interpola-tion algorithms. IMA Journal of Nu-merical Analysis, 15(3):307–318, 1995.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Meyer:2020:PEA

[1341] Fabian Meyer, Christian Rohde, andJan Giesselmann. A posteriori erroranalysis for random scalar conserva-tion laws using the stochastic Galerkinmethod. IMA Journal of NumericalAnalysis, 40(2):1094–1121, April 2020.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic). URLhttp://academic.oup.com/imajna/article/40/2/1094/5316650.

Micheletti:2008:UBA

[1342] Stefano Micheletti, Simona Perotto,and Marco Verani. Uzawa-basedadaptive methods for linear out-put functionals. IMA Journal ofNumerical Analysis, 28(3):619–646,July 2008. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/28/3/619; http://imajna.oxfordjournals.org/cgi/reprint/28/3/619.

Micula:2015:TCN

[1343] Sanda Micula and Wolfgang L.Wendland. Trigonometric colloca-tion for nonlinear Riemann–Hilbertproblems on doubly connected do-mains. IMA Journal of Numer-ical Analysis, 35(2):834–858, April

REFERENCES 218

2015. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://imajna.oxfordjournals.org/content/35/2/834.

Miellou:2005:SCF

[1344] J. C. Miellou, P. Spiteri, and D. ElBaz. Stopping criteria, forward andbackward errors for perturbed asyn-chronous linear fixed point meth-ods in finite precision. IMA Jour-nal of Numerical Analysis, 25(3):429–442, July 2005. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imanum.oxfordjournals.org/cgi/content/abstract/25/3/429; http://imanum.oxfordjournals.org/cgi/reprint/25/3/429.

Miettinen:1995:ANM

[1345] Markku Miettinen and JaroslavHaslinger. Approximation of non-monotone multivalued differential in-clusions. IMA Journal of Numer-ical Analysis, 15(4):475–503, 1995.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Mihai:2006:ASB

[1346] L. Angela Mihai and Alan W.Craig. Alternate strip-based substruc-turing algorithms for elliptic PDEsin two dimensions. IMA Journalof Numerical Analysis, 26(2):354–380, April 2006. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imanum.oxfordjournals.org/cgi/content/abstract/26/2/354; http://imanum.oxfordjournals.org/cgi/reprint/26/2/354.

Mihai:2009:ASB

[1347] L. Angela Mihai and Alan W. Craig.Alternate slice-based substructuringin three dimensions. IMA Jour-nal of Numerical Analysis, 29(3):508–538, July 2009. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/29/3/508; http://imajna.oxfordjournals.org/cgi/reprint/29/3/508.

Miller:1995:PUM

[1348] J. J. H. Miller, E. O’Riordan, and G. I.Shishkin. On piecewise-uniform meshesfor upwind- and central-difference oper-ators for solving singularly perturbedproblems. IMA Journal of NumericalAnalysis, 15(1):89–99, 1995. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic).

Miller:1994:NNP

[1349] J. J. H. Miller and S. Wang. Anew nonconforming Petrov–Galerkinfinite-element method with triangularelements for a singularly perturbedadvection-diffusion problem. IMAJournal of Numerical Analysis, 14(2):257–276, 1994. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic).

Miller:2001:LSM

[1350] Keith Miller and Mike J. Baines. Leastsquares moving finite elements. IMAJournal of Numerical Analysis, 21(3):621–642, July 2001. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_21/

REFERENCES 219


Milner:1996:MFE

[1351] F. A. Milner and E.-J Park. Mixedfinite-element methods for Hamilton–Jacobi–Bellman-type equations. IMAJournal of Numerical Analysis, 16(3):399–412, July 1996. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_16/Issue_03/160399.sgm.abs.html.

Milovanovic:2011:GQR

[1352] Gradimir V. Milovanovic and Aleksan-dar S. Cvetkovic. Gaussian quadra-ture rules using function deriva-tives. IMA Journal of Numer-ical Analysis, 31(1):358–377, Jan-uary 2011. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/31/1/358.full.pdf+html.

Milovanovic:2019:QMN

[1353] Gradimir V. Milovanovic, RamonOrive, and Miodrag M. Spalevic.Quadratures with multiple nodes forFourier–Chebyshev coefficients. IMAJournal of Numerical Analysis, 39(1):271–296, January 25, 2019. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/39/1/271/4629556.

Milovanovic:2009:EEG

[1354] Gradimir V. Milovanovic, Miodrag M.Spalevic, and Miroslav S. Pranic. Errorestimates for Gauss–Turan quadratures

and their Kronrod extensions. IMAJournal of Numerical Analysis, 29(3):486–507, July 2009. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/29/3/486; http://imajna.oxfordjournals.org/cgi/reprint/29/3/486.

Milstein:2001:NSD

[1355] G. N. Milstein and M. V. Tretyakov.Numerical solution of the Dirichletproblem for nonlinear parabolic equa-tions by a probabilistic approach. IMAJournal of Numerical Analysis, 21(4):887–917, October 2001. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_04/210887.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_04/pdf/210887.pdf.

Milstein:2002:PAS

[1356] G. N. Milstein and M. V. Tretyakov.A probabilistic approach to the so-lution of the Neumann problem fornonlinear parabolic equations. IMAJournal of Numerical Analysis, 22(4):599–622, October 2002. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_22/Issue_04/220599.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_22/Issue_04/pdf/220599.pdf.

Milstein:2007:DFB

[1357] G. N. Milstein and M. V. Tretyakov.Discretization of forward–backwardstochastic differential equations andrelated quasi-linear parabolic equa-

REFERENCES 220

tions. IMA Journal of Numeri-cal Analysis, 27(1):24–44, January2007. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/27/1/24; http://imajna.oxfordjournals.org/cgi/reprint/27/1/24.

Milstein:2003:QSM

[1358] Journal G. N. Milstein and M. V.Tretyakov. Quasi-symplectic meth-ods for Langevin-type equations. IMAJournal of Numerical Analysis, 23(4):593–626, October 2003. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_23/Issue_04/230593.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_23/Issue_04/pdf/230593.pdf.

Mirzaei:2012:GML

[1359] Davoud Mirzaei, Robert Schaback,and Mehdi Dehghan. On gen-eralized moving least squares anddiffuse derivatives. IMA Journalof Numerical Analysis, 32(3):983–1000, July 2012. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/32/3/983.full.pdf+html.

Mitchell:2016:HEC

[1360] Tim Mitchell and Michael L. Over-ton. Hybrid expansion-contraction: arobust scaleable method for approx-imating the H∞ norm. IMA Jour-nal of Numerical Analysis, 36(3):985–1014, July 2016. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642


Mittal:1991:HOF

[1361] R. C. Mittal and S. Gahlaut. High-order finite-difference schemes to solvePoisson’s equation in polar coordinates.IMA Journal of Numerical Analysis,11(2):261–270, 1991. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Mommer:2006:SPF

[1362] Mario S. Mommer. A smoothness pre-serving fictitious domain method for el-liptic boundary-value problems. IMAJournal of Numerical Analysis, 26(3):503–524, July 2006. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://comjnl.oxfordjournals.org/cgi/content/abstract/26/3/503; http://comjnl.oxfordjournals.org/cgi/reprint/26/3/503.

Moore:1981:COA

[1363] G. Moore and A. Spence. The con-vergence of operator approximationsat turning points. IMA Journal ofNumerical Analysis, 1(1):23–38, 1981.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Moore:1986:OAS

[1364] G. Moore, A. Spence, and B. Werner.Operator approximation and symmetry-breaking bifurcation. IMA Journalof Numerical Analysis, 6(3):331–336,1986. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

REFERENCES 221

Moore:1995:CPP

[1365] Gerald Moore. Computation andparametrization of periodic and con-necting orbits. IMA Journal of Nu-merical Analysis, 15(2):245–263, 1995.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Moore:1999:ACS

[1366] Gerald Moore and Evelyne Hubert. Al-gorithms for constructing stable man-ifolds of stationary solutions. IMAJournal of Numerical Analysis, 19(3):375–424, July 1999. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_19/Issue_03/190375.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_19/Issue_03/pdf/190375.pdf.

Moosmuller:2019:ISV

[1367] Caroline Moosmuller and Nira Dyn. In-creasing the smoothness of vector andHermite subdivision schemes. IMAJournal of Numerical Analysis, 39(2):579–606, April 2019. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/39/2/579/4955793.

Mora:2005:WES

[1368] Carlos M. Mora. Weak exponentialschemes for stochastic differential equa-tions with additive noise. IMA Jour-nal of Numerical Analysis, 25(3):486–506, July 2005. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imanum.oxfordjournals.org/cgi/content/abstract/25/3/486; http://imanum.


Mora:2020:PPE

[1369] David Mora and Gonzalo Rivera. Apriori and a posteriori error estimatesfor a virtual element spectral analy-sis for the elasticity equations. IMAJournal of Numerical Analysis, 40(1):322–357, January 2020. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/40/1/322/5148143.

Morales:2012:SQP

[1370] Jose Luis Morales, Jorge Nocedal,and Yuchen Wu. A sequentialquadratic programming algorithm withan additional equality constrainedphase. IMA Journal of Numer-ical Analysis, 32(2):553–579, April2012. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://imajna.oxfordjournals.org/content/32/2/553.full.pdf+html.

Moret:1990:PNM

[1371] Igor Moret and Pierpaolo Omari. Aprojective Newton method for semi-linear operator equations in Banachspaces. IMA Journal of NumericalAnalysis, 10(4):505–520, 1990. CO-DEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Morton:1981:E

[1372] K. W. Morton and M. J. D. Pow-ell. Editorial. IMA Journal of Nu-merical Analysis, 1(1):1, January 1981.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

REFERENCES 222

Morton:1993:DCD

[1373] K. W. Morton and I. J. Sobey. Dis-cretization of a convection-diffusionequation. IMA Journal of Numer-ical Analysis, 13(1):141–160, 1993.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Morton:1991:FVM

[1374] K. W. Morton and E. Suli. Fi-nite volume methods and their analy-sis. IMA Journal of Numerical Analy-sis, 11(2):241–260, 1991. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Morton:2010:CDP

[1375] K. William Morton. The convection–diffusion Petrov–Galerkin story. IMAJournal of Numerical Analysis, 30(1):231–240, January 2010. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/30/1/231; http://imajna.oxfordjournals.org/cgi/reprint/30/1/231.

Motte:1988:NCM

[1376] David L. Motte. The numericalcomputation of the minimal projec-tion. IMA Journal of Numerical Anal-ysis, 8(2):219–230, 1988. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Mu:2015:NWG

[1377] Lin Mu, Junping Wang, and XiuYe. A new weak Galerkin finiteelement method for the Helmholtzequation. IMA Journal of Numer-ical Analysis, 35(3):1228–1255, July

2015. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://imajna.oxfordjournals.org/content/35/3/1228.

Mulansky:1992:CAS

[1378] Bernd Mulansky. Chebyshev approx-imation by spline functions with freeknots. IMA Journal of NumericalAnalysis, 12(1):95–105, 1992. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic).

Mullenheim:1992:STP

[1379] Gregor Mullenheim. Solving two-point boundary value problems withspline functions. IMA Journal of Nu-merical Analysis, 12(4):503–518, 1992.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Murdoch:1992:CSS

[1380] T. Murdoch and C. J. Budd. Conver-gent and spurious solutions of nonlinearelliptic equations. IMA Journal of Nu-merical Analysis, 12(3):365–386, 1992.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic). IMAConference on Dynamics of Numericsand Numerics of Dynamics (Bristol,1990).

Mustapha:2011:IFD

[1381] Kassem Mustapha. An implicitfinite-difference time-stepping methodfor a sub-diffusion equation, withspatial discretization by finite ele-ments. IMA Journal of Numer-ical Analysis, 31(2):719–739, April2011. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://imajna.

REFERENCES 223


Mustapha:2012:UCD

[1382] Kassem Mustapha and William McLean.Uniform convergence for a discontin-uous Galerkin, time-stepping methodapplied to a fractional diffusion equa-tion. IMA Journal of Numer-ical Analysis, 32(3):906–925, July2012. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://imajna.oxfordjournals.org/content/32/3/906.full.pdf+html.

Mustapha:2010:SOA

[1383] Kassem Mustapha and Hussein Mustapha.A second-order accurate numericalmethod for a semilinear integro-differential equation with a weaklysingular kernel. IMA Journal ofNumerical Analysis, 30(2):555–578,April 2010. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/30/2/555; http://imajna.oxfordjournals.org/cgi/reprint/30/2/555.

Mustapha:2014:WPV

[1384] Kassem Mustapha and DominikSchotzau. Well-posedness of hp-version discontinuous Galerkin meth-ods for fractional diffusion wave equa-tions. IMA Journal of Numeri-cal Analysis, 34(4):1426–1446, Oc-tober 2014. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/34/4/1426.

Nabet:2016:CFV

[1385] Flore Nabet. Convergence of afinite-volume scheme for the Cahn–Hilliard equation with dynamic bound-ary conditions. IMA Journal ofNumerical Analysis, 36(4):1898–1942,October 2016. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/36/4/1898.

Natale:2018:CVF

[1386] Andrea Natale and Colin J. Cotter.Corrigendum to: A variational H(div)finite-element discretization approachfor perfect incompressible fluids. IMAJournal of Numerical Analysis, 38(2):1084, April 18, 2018. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/38/2/1084/4774535. See [1387].

Natale:2018:VFE

[1387] Andrea Natale and Colin J. Cot-ter. A variational H(div) finite-element discretization approach forperfect incompressible fluids. IMAJournal of Numerical Analysis, 38(3):1388–1419, July 17, 2018. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/38/3/1388/3897379. See corrigendum[1386].

Navarrete:2016:ASI

[1388] Raymundo Navarrete and DivakarViswanath. Accuracy and stability ofinversion of power series. IMA Jour-nal of Numerical Analysis, 36(1):421–436, January 2016. CODEN IJNADH.

REFERENCES 224


Navot:1987:EMT

[1389] I. Navot. An Euler–Maclaurin trans-formation of a slowly convergent serieswith an application to Fourier coeffi-cient evaluation. IMA Journal of Nu-merical Analysis, 7(3):335–353, 1987.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Neuman:1983:PCP

[1390] Edward Neuman. Properties of a classof polynomial splines. IMA Journalof Numerical Analysis, 3(2):245–252,1983. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Ng:1999:FIM

[1391] Michael K. Ng. Fast iterative methodsfor symmetric sinc-Galerkin systems.IMA Journal of Numerical Analysis,19(3):357–373, July 1999. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_19/Issue_03/190357.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_19/Issue_03/pdf/190357.pdf.

Ngo:2017:EMA

[1392] Hoang-Long Ngo and Dai Taguchi.On the Euler–Maruyama approxi-mation for one-dimensional stochas-tic differential equations with ir-regular coefficients. IMA Journalof Numerical Analysis, 37(4):1864–1883, October 1, 2017. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL https://


Nguyen:2003:FEW

[1393] Hoang Nguyen and Rob Steven-son. Finite-element wavelets on man-ifolds. IMA Journal of Numer-ical Analysis, 23(1):149–173, Jan-uary 2003. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_23/Issue_01/230149.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_23/Issue_01/pdf/230149.pdf.

Nguyen:2012:PCR

[1394] Son Luu Nguyen and G. Yin. Path-wise convergence rate for numeri-cal solutions of stochastic differen-tial equations. IMA Journal ofNumerical Analysis, 32(2):701–723,April 2012. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/32/2/701.full.pdf+html.

Nicaise:2005:CAF

[1395] Serge Nicaise and Karim Djadel. Con-vergence analysis of a finite volumemethod for the Stokes system usingnon-conforming arguments. IMA Jour-nal of Numerical Analysis, 25(3):523–548, July 2005. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imanum.oxfordjournals.org/cgi/content/abstract/25/3/523; http://imanum.oxfordjournals.org/cgi/reprint/25/3/523.

REFERENCES 225

Nicaise:2008:PEE

[1396] Serge Nicaise, Katharina Witowski,and Barbara I. Wohlmuth. Ana posteriori error estimator for theLame equation based on equilibratedfluxes. IMA Journal of Numer-ical Analysis, 28(2):331–353, April2008. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/28/2/331; http://imajna.oxfordjournals.org/cgi/reprint/28/2/331.

Nie:1985:LMF

[1397] Yi Yong Nie and Vidar Thomee. Alumped mass finite-element methodwith quadrature for a nonlinearparabolic problem. IMA Journal of Nu-merical Analysis, 5(4):371–396, 1985.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Nielsen:2009:PIL

[1398] Bjørn Fredrik Nielsen, Aslak Tveito,and Wolfgang Hackbusch. Precon-ditioning by inverting the Laplacian:an analysis of the eigenvalues. IMAJournal of Numerical Analysis, 29(1):24–42, January 2009. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Nigam:2012:HOC

[1399] Nilima Nigam and Joel Phillips.High-order conforming finite ele-ments on pyramids. IMA Jour-nal of Numerical Analysis, 32(2):448–483, April 2012. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.


Nochetto:2019:TSM

[1400] R. H. Nochetto, D. Ntogkas, andW. Zhang. Two-scale method forthe Monge–Ampere equation: point-wise error estimates. IMA Jour-nal of Numerical Analysis, 39(3):1085–1109, July 2019. CODEN IJ-NADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/39/3/1085/4992684.

Nochetto:2009:SDW

[1401] Ricardo H. Nochetto, Andreas Veeser,and Marco Verani. A safeguardeddual weighted residual method. IMAJournal of Numerical Analysis, 29(1):126–140, January 2009. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Norton:2012:FEA

[1402] Richard A. Norton and Endre Suli. Fi-nite element approximation of an H1

gradient flow of a double-well poten-tial with bending energy. IMA Jour-nal of Numerical Analysis, 32(4):1635–1661, October 2012. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/32/4/1635.full.pdf+html.

Nurnberger:1998:EAI

[1403] G. Nurnberger and G. Walz. Er-ror analysis in interpolation by bi-variate C1-splines. IMA Journal ofNumerical Analysis, 18(4):485–508,October 1998. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642

REFERENCES 226

(electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_18/Issue_04/180485.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_18/Issue_04/pdf/180485.pdf.

Ober-Blobaum:2017:GVI

[1404] Sina Ober-Blobaum. Galerkin vari-ational integrators and modifiedsymplectic Runge–Kutta methods.IMA Journal of Numerical Analy-sis, 37(1):375–406, January 1, 2017.CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).URL https://academic.oup.com/imajna/article/37/1/375/2884280/Galerkin-variational-integrators-and-modified.

Oberman:2018:NMM

[1405] Adam M. Oberman and Tiago Sal-vador. Numerical methods for motionof level sets by affine curvature. IMAJournal of Numerical Analysis, 38(4):1735–1767, October 16, 2018. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/38/4/1735/4085563.

Of:2006:FMM

[1406] G. Of, O. Steinbach, and W. L. Wend-land. The fast multipole methodfor the symmetric boundary inte-gral formulation. IMA Journal ofNumerical Analysis, 26(2):272–296,April 2006. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imanum.oxfordjournals.org/cgi/content/abstract/26/2/272; http://imanum.oxfordjournals.org/cgi/reprint/26/2/272.

Oh:2014:NAA

[1407] Minah Oh. A new approach tothe analysis of axisymmetric prob-lems. IMA Journal of Numeri-cal Analysis, 34(4):1686–1700, Oc-tober 2014. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/34/4/1686.

Ohlberger:2002:AFV

[1408] Mario Ohlberger and Christian Ro-hde. Adaptive finite volume approxi-mations for weakly coupled convectiondominated parabolic systems. IMAJournal of Numerical Analysis, 22(2):253–280, April 2002. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_22/Issue_02/220253.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_22/Issue_02/pdf/220253.pdf.

Oliver:1982:AEP

[1409] J. Oliver. The accurate evaluation ofpolynomial approximations to libraryfunctions. IMA Journal of Numeri-cal Analysis, 2(1):63–72, January 1982.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Oliver:1982:FLM

[1410] P. Oliver. A family of linear multi-step methods for the solution of stiffand nonstiff ODEs. IMA Journal ofNumerical Analysis, 2(3):289–301, July1982. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

REFERENCES 227

Olshanskii:2014:SFE

[1411] Maxim A. Olshanskii, Arnold Reusken,and Xianmin Xu. A stabilized finite el-ement method for advection-diffusionequations on surfaces. IMA Jour-nal of Numerical Analysis, 34(2):732–758, April 2014. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/34/2/732.full.pdf+html.

Olver:1982:FDE

[1412] F. W. J. Olver. Further develop-ments of rp and ap error analysis.IMA Journal of Numerical Analysis, 2(3):249–274, July 1982. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Olver:1983:EBA

[1413] F. W. J. Olver. Error bounds for arith-metic operations on computers with-out guard digits. IMA Journal of Nu-merical Analysis, 3(2):153–160, 1983.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Olver:1986:EBP

[1414] F. W. J. Olver. Error bounds for poly-nomial evaluation and complex arith-metic. IMA Journal of NumericalAnalysis, 6(3):373–379, 1986. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic).

Olver:1982:PEB

[1415] F. W. J. Olver and J. H. Wilkinson.A posteriori error bounds for Gaussianelimination. IMA Journal of NumericalAnalysis, 2(4):377–406, October 1982.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Olver:2006:MFN

[1416] Sheehan Olver. Moment-free nu-merical integration of highly oscil-latory functions. IMA Journal ofNumerical Analysis, 26(2):213–227,April 2006. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imanum.oxfordjournals.org/cgi/content/abstract/26/2/213; http://imanum.oxfordjournals.org/cgi/reprint/26/2/213.

Olver:2021:OSQ

[1417] Sheehan Olver and Yuan Xu. Orthog-onal structure on a quadratic curve.IMA Journal of Numerical Analysis, 41(1):206–246, January 2021. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/41/1/206/5821508.

Omladic:1992:AQF

[1418] Matjaz Omladic. Average quadratureformulas of Gauss type. IMA Journalof Numerical Analysis, 12(2):189–199,1992. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

ONeill:2021:LBN

[1419] Michael O’Neill and Stephen J. Wright.A log-barrier Newton–CG method forbound constrained optimization withcomplexity guarantees. IMA Jour-nal of Numerical Analysis, 41(1):84–121, January 2021. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://academic.oup.com/imajna/article/41/1/84/5821509.

REFERENCES 228

Ortner:2011:NFE

[1420] Christoph Ortner. Nonconformingfinite-element discretization of con-vex variational problems. IMA Jour-nal of Numerical Analysis, 31(3):847–864, July 2011. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/31/3/847.full.pdf+html.

Ortner:2014:PEC

[1421] Christoph Ortner and Hao Wang. Aposteriori error control for a quasi-continuum approximation of a peri-odic chain. IMA Journal of Nu-merical Analysis, 34(3):977–1001, July2014. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://imajna.oxfordjournals.org/content/34/3/977.

Osada:1992:MOS

[1422] Naoki Osada. A method for obtainingsequence transformations. IMA Jour-nal of Numerical Analysis, 12(1):85–94,1992. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Osborne:1992:EMC

[1423] M. R. Osborne. An effective method forcomputing regression quantiles. IMAJournal of Numerical Analysis, 12(2):151–166, 1992. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic).

Osborne:2010:ABL

[1424] M. R. Osborne. Asymptotic be-haviour in linear least squares prob-lems. IMA Journal of Numer-

ical Analysis, 30(1):241–247, Jan-uary 2010. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/30/1/241; http://imajna.oxfordjournals.org/cgi/reprint/30/1/241.

Osborne:2000:NAV

[1425] M. R. Osborne, Brett Presnell, andB. A. Turlach. A new approach to vari-able selection in least squares problems.IMA Journal of Numerical Analysis, 20(3):389–403, July 2000. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_20/Issue_03/200389.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_20/Issue_03/pdf/200389.pdf.

Osborne:1999:NAS

[1426] M. R. Osborne and Linping Sun.A new approach to symmetric rank-one updating. IMA Journal ofNumerical Analysis, 19(4):497–507,October 1999. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_19/Issue_04/190497.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_19/Issue_04/pdf/190497.pdf.

Ostermann:1990:HEE

[1427] Alexander Ostermann. A half-explicitextrapolation method for differential-algebraic systems of index 3. IMAJournal of Numerical Analysis, 10(2):171–180, 1990. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic).

REFERENCES 229

Ostermann:2020:LTE

[1428] Alexander Ostermann and ChunmeiSu. A Lawson-type exponential inte-grator for the Korteweg–de Vries equa-tion. IMA Journal of Numerical Anal-ysis, 40(4):2399–2414, October 2020.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic). URLhttp://academic.oup.com/imajna/article/40/4/2399/5588351.

Ostermann:2000:NSD

[1429] Alexander Ostermann and MechthildThalhammer. Non-smooth data er-ror estimates for linearly implicitRunge–Kutta methods. IMA Jour-nal of Numerical Analysis, 20(2):167–184, April 2000. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_20/Issue_02/200167.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_20/Issue_02/pdf/200167.pdf.

Oswald:1998:OMP

[1430] Peter Oswald. An optimal multi-level preconditioner for solenoidal ap-proximations of the two-dimensionalStokes problem. IMA Journal ofNumerical Analysis, 18(2):207–228,April 1998. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_18/Issue_02/180207.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_18/Issue_02/pdf/180207.pdf.

Oyarzua:2014:EDF

[1431] Ricardo Oyarzua, Tong Qin, and Do-minik Schotzau. An exactly divergence-free finite element method for a gener-

alized Boussinesq problem. IMA Jour-nal of Numerical Analysis, 34(3):1104–1135, July 2014. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/34/3/1104.

Pachon:2010:PSC

[1432] Ricardo Pachon, Rodrigo B. Platte,and Lloyd N. Trefethen. Piecewise-smooth chebfuns. IMA Journal ofNumerical Analysis, 30(4):898–916,October 2010. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/30/4/898.full.pdf+html.

Palagallo:1987:NBA

[1433] Judith A. Palagallo and Thomas E.Price, Jr. Near-best approximationby averaging polynomial interpolants.IMA Journal of Numerical Analysis,7(1):107–122, 1987. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Palencia:1984:ETI

[1434] C. Palencia and J. M. Sanz-Serna.Equivalence theorems for incompletespaces: an appraisal. IMA Jour-nal of Numerical Analysis, 4(1):109–115, January 1984. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Pan:1994:MCC

[1435] K. Pan. On Mason’s conjecture con-cerning interpolation by polynomials inz and z−1 on an annulus. IMA Journalof Numerical Analysis, 14(4):599–604,1994. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

REFERENCES 230

Pani:1991:FEG

[1436] A. K. Pani and P. C. Das. A fi-nite element Galerkin method for aunidimensional single-phase nonlinearStefan problem with Dirichlet bound-ary conditions. IMA Journal of Nu-merical Analysis, 11(1):99–113, 1991.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Pani:1991:PEE

[1437] A. K. Pani and P. C. Das. A priori errorestimates for a single-phase quasilin-ear Stefan problem in one space dimen-sion. IMA Journal of Numerical Anal-ysis, 11(3):377–392, 1991. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Pani:1999:QMP

[1438] Amiya K. Pani. A qualocationmethod for parabolic partial dif-ferential equations. IMA Journalof Numerical Analysis, 19(3):473–495, July 1999. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_19/Issue_03/190473.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_19/Issue_03/pdf/190473.pdf.

Pani:2002:GMF

[1439] Amiya K. Pani and Graeme Fair-weather. H1-Galerkin mixed finiteelement methods for parabolic par-tial integro-differential equations. IMAJournal of Numerical Analysis, 22(2):231–252, April 2002. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_22/


Pani:2005:SFE

[1440] Amiya K. Pani and Jin Yun Yuan.Semidiscrete finite element Galerkinapproximations to the equations ofmotion arising in the Oldroyd model.IMA Journal of Numerical Analysis, 25(4):750–782, October 2005. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://imanum.oxfordjournals.org/cgi/reprint/25/4/750.

Pani:2010:AOS

[1441] Amiya Kumar Pani, Graeme Fair-weather, and Ryan I. Fernandes. ADIorthogonal spline collocation meth-ods for parabolic partial integro–differential equations. IMA Journalof Numerical Analysis, 30(1):248–276,January 2010. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/30/1/248; http://imajna.oxfordjournals.org/cgi/reprint/30/1/248.

Papamichael:1993:NMC

[1442] N. Papamichael, M. J. Soares, and N. S.Stylianopoulos. A numerical methodfor the computation of Faber polynomi-als for starlike domains. IMA Journalof Numerical Analysis, 13(2):181–193,1993. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Papamichael:1986:PCN

[1443] N. Papamichael and Maria JoanaSoares. A posteriori corrections for

REFERENCES 231

nonperiodic cubic and quintic interpo-lating splines at equally spaced knots.IMA Journal of Numerical Analysis,6(4):489–502, 1986. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Papez:2018:RBP

[1444] Jan Papez and Zdenek Strakos. Ona residual-based a posteriori error es-timator for the total error. IMAJournal of Numerical Analysis, 38(3):1164–1184, July 17, 2018. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/38/3/1164/4124871.

Parks:2019:CEP

[1445] Helen Parks and Melvin Leok. Con-structing equivalence-preserving Diracvariational integrators with forces.IMA Journal of Numerical Analysis, 39(4):1706–1726, October 2019. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/39/4/1706/5069580.

Parlett:1981:TPL

[1446] B. N. Parlett and J. K. Reid. Track-ing the progress of the Lanczos algo-rithm for large symmetric eigenprob-lems. IMA Journal of Numerical Anal-ysis, 1(2):135–155, 1981. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Pechstein:2013:WPI

[1447] Clemens Pechstein and Robert Sche-ichl. Weighted Poincare inequal-ities. IMA Journal of Numeri-cal Analysis, 33(2):652–686, April

2013. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://imajna.oxfordjournals.org/content/33/2/652.full.pdf+html.

Lee:2019:RPF

[1448] Ching pei Lee and Stephen J. Wright.Random permutations fix a worst casefor cyclic coordinate descent. IMAJournal of Numerical Analysis, 39(3):1246–1275, July 2019. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/39/3/1246/5060522.

Pejcev:2012:EBG

[1449] Aleksandar V. Pejcev and Miodrag M.Spalevic. Error bounds for Gaussianquadrature formulae with Bernstein–Szego weights that are rational mod-ifications of Chebyshev weight func-tions of the second kind. IMA Jour-nal of Numerical Analysis, 32(4):1733–1754, October 2012. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/32/4/1733.full.pdf+html.

Pena:1996:PSL

[1450] J. M. Pena. Pivoting strategies lead-ing to small bounds of the errors forcertain linear systems. IMA Jour-nal of Numerical Analysis, 16(2):141–153, April 1996. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_16/Issue_02/160141.sgm.abs.html.

REFERENCES 232

Peralta:2020:AFE

[1451] Gilbert Peralta and Karl Kunisch.Analysis and finite element discretiza-tion for optimal control of a linear fluid-structure interaction problem with de-lay. IMA Journal of Numerical Anal-ysis, 40(1):140–206, January 2020.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic). URLhttp://academic.oup.com/imajna/article/40/1/140/5177807.

Phillips:2010:SRB

[1452] George M. Phillips. A survey ofresults on the q-Bernstein polyno-mials. IMA Journal of Numer-ical Analysis, 30(1):277–288, Jan-uary 2010. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/30/1/277; http://imajna.oxfordjournals.org/cgi/reprint/30/1/277.

Phillips:1985:EMC

[1453] Timothy N. Phillips. An embeddingmethod for the Cauchy–Riemann equa-tions. IMA Journal of Numerical Anal-ysis, 5(4):429–436, 1985. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Phillips:1988:LCG

[1454] Timothy N. Phillips. On the Legendrecoefficients of a general-order derivativeof an infinitely differentiable function.IMA Journal of Numerical Analysis, 8(4):455–459, October 1988. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic).

Phillips:1989:FSS

[1455] Timothy N. Phillips. Fourier series so-lutions to Poisson’s equation in rect-angularly decomposable regions. IMAJournal of Numerical Analysis, 9(3):337–352, 1989. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic).

Phillips:1986:PSM

[1456] Timothy N. Phillips, Thomas A. Zang,and M. Yousuff Hussaini. Precon-ditioners for the spectral multigridmethod. IMA Journal of NumericalAnalysis, 6(3):273–292, 1986. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic).

Pickering:1993:FSR

[1457] W. M. Pickering and P. J. Harley.FFT solution of the Robbins prob-lem. IMA Journal of Numerical Anal-ysis, 13(2):215–233, 1993. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Pierre:2010:UCF

[1458] Morgan Pierre. Uniform convergencefor a finite-element discretization of aviscous diffusion equation. IMA Jour-nal of Numerical Analysis, 30(2):487–511, April 2010. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/30/2/487; http://imajna.oxfordjournals.org/cgi/reprint/30/2/487.

Pinar:2018:BPA

[1459] Miguel A. Pinar and Yuan Xu. Bestpolynomial approximation on the unit

REFERENCES 233

ball. IMA Journal of Numerical Anal-ysis, 38(3):1209–1228, July 17, 2018.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic). URLhttp://academic.oup.com/imajna/article/38/3/1209/3852524.

Pinar:1999:SLI

[1460] Mustafa C. Pinar and Bintong Chen.l1 solution of linear inequalities. IMAJournal of Numerical Analysis, 19(1):19–37, January 1999. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_19/Issue_01/190019.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_19/Issue_01/pdf/190019.pdf.

Ma:2001:CLL

[1461] He ping Ma and Ben yu Guo. Compos-ite Legendre-Laguerre pseudospectralapproximation in unbounded domains.IMA Journal of Numerical Analysis, 21(2):587–602, April 2001. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_02/210587.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_02/pdf/210587.pdf.

Pinkus:1988:BAC

[1462] A. Pinkus and H. Strauss. Bestapproximation with coefficient con-straints. IMA Journal of NumericalAnalysis, 8(1):1–22, 1988. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Platte:2011:HFD

[1463] Rodrigo B. Platte. How fast do ra-dial basis function interpolants of an-

alytic functions converge? IMA Jour-nal of Numerical Analysis, 31(4):1578–1597, October 2011. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/31/4/1578.full.pdf+html.

Plestenjak:2001:CMW

[1464] Bor Plestenjak. A continuation methodfor a weakly elliptic two-parametereigenvalue problem. IMA Journalof Numerical Analysis, 21(1):199–216, January 2001. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_01/210199.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_01/pdf/210199.pdf.

Poghosyan:2011:ACP

[1465] Arnak Poghosyan. On an auto-correction phenomenon of the Krylov–Gottlieb–Eckhoff method. IMA Jour-nal of Numerical Analysis, 31(2):512–527, April 2011. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/31/2/512.full.pdf+html.

Pooley:2003:NCP

[1466] D. M. Pooley, P. A. Forsyth, andK. R. Vetzal. Numerical conver-gence properties of option pricingPDEs with uncertain volatility. IMAJournal of Numerical Analysis, 23(2):241–267, April 2003. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_23/Issue_02/230241.sgm.abs.html; http:

REFERENCES 234


Porter:1993:RGM

[1467] D. Porter and D. S. G. Stirling. The re-iterated Galerkin method. IMA Jour-nal of Numerical Analysis, 13(1):125–139, 1993. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic).

Potra:1994:LOM

[1468] F. A. Potra and E. Venturino. Low-order methods for Cauchy principalvalue integrals with endpoint singular-ities. IMA Journal of Numerical Anal-ysis, 14(2):295–310, 1994. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Potts:2001:NLA

[1469] Daniel Potts and Gabriele Steidl.A new linogram algorithm for com-puterized tomography. IMA Jour-nal of Numerical Analysis, 21(3):769–782, July 2001. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_03/210769.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_03/pdf/210769.pdf.

Potzsche:2010:CIM

[1470] Christian Potzsche and Martin Ras-mussen. Computation of integralmanifolds for Caratheodory differ-ential equations. IMA Journal ofNumerical Analysis, 30(2):401–430,April 2010. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/

abstract/30/2/401; http://imajna.oxfordjournals.org/cgi/reprint/30/2/401.

Poullikkas:1998:MFS

[1471] A. Poullikkas, A. Karageorghis, andG. Georgiou. The method of fundamen-tal solutions for Signorini problems.IMA Journal of Numerical Analysis, 18(2):273–285, April 1998. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_18/Issue_02/180273.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_18/Issue_02/pdf/180273.pdf.

Powell:2005:PFD

[1472] Catherine E. Powell. Parameter-free H (div) preconditioning for amixed finite element formulation ofdiffusion problems. IMA Journalof Numerical Analysis, 25(4):783–796,October 2005. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imanum.oxfordjournals.org/cgi/reprint/25/4/783.

Powell:2009:BDP

[1473] Catherine E. Powell and Howard C.Elman. Block-diagonal precondi-tioning for spectral stochastic finite-element systems. IMA Journal ofNumerical Analysis, 29(2):350–375,April 2009. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/29/2/350; http://imajna.oxfordjournals.org/cgi/reprint/29/2/350.

REFERENCES 235

Powell:1998:TSA

[1474] M. J. D. Powell. A “taut string al-gorithm” for straightening a piece-wise linear path in two dimensions.IMA Journal of Numerical Analysis,18(1):1–35, January 1998. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_18/Issue_01/180001.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_18/Issue_01/pdf/180001.pdf.

Powell:2008:DNM

[1475] M. J. D. Powell. Developmentsof NEWUOA for minimization with-out derivatives. IMA Journal ofNumerical Analysis, 28(4):649–664,October 2008. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/28/4/649.

Powell:2010:CWR

[1476] M. J. D. Powell. On the conver-gence of a wide range of trust re-gion methods for unconstrained op-timization. IMA Journal of Nu-merical Analysis, 30(1):289–301, Jan-uary 2010. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/30/1/289; http://imajna.oxfordjournals.org/cgi/reprint/30/1/289.

Powell:1981:STP

[1477] M. J. D. Powell and Ph. L. Toint. TheShanno-Toint procedure for updatingsparse symmetric matrices. IMA Jour-nal of Numerical Analysis, 1(4):403–

413, 1981. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic).

Powell:1984:CSC

[1478] M. J. D. Powell and Y. Yuan. Con-ditions for superlinear convergence inl1 and l∞ solutions of overdeterminednonlinear equations. IMA Journalof Numerical Analysis, 4(2):241–251,April 1984. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic).

Pozza:2017:GQQ

[1479] Stefano Pozza, Miroslav S. Pranic,and Zdenek Strakos. Gauss quadra-ture for quasi-definite linear function-als. IMA Journal of Numerical Anal-ysis, 37(3):1468–1495, July 1, 2017.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic). URLhttps://academic.oup.com/imajna/article/37/3/1468/2670009/Gauss-quadrature-for-quasi-definite-linear.

Pozzi:2005:DDP

[1480] Paola Pozzi. The discrete Dou-glas problem: convergence results.IMA Journal of Numerical Anal-ysis, 25(2):337–378, April 2005.CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).URL http://imanum.oupjournals.org/cgi/content/abstract/25/2/337;http://imanum.oupjournals.org/


Pozzi:2019:EFI

[1481] Paola Pozzi and Bjorn Stinner. Elasticflow interacting with a lateral diffusionprocess: the one-dimensional graph

REFERENCES 236

case. IMA Journal of Numerical Anal-ysis, 39(1):201–234, January 25, 2019.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic). URLhttp://academic.oup.com/imajna/article/39/1/201/4904296.

Pozzolini:2013:VIP

[1482] C. Pozzolini, Y. Renard, and M. Salaun.Vibro-impact of a plate on rigidobstacles: existence theorem, con-vergence of a scheme and numer-ical simulations. IMA Journal ofNumerical Analysis, 33(1):261–294,January 2013. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/33/1/261.full.pdf+html.

Prautzsch:1986:LCP

[1483] Hartmut Prautzsch. The location ofthe control points in the case of boxsplines. IMA Journal of NumericalAnalysis, 6(1):43–49, 1986. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Preston:2011:NMB

[1484] Mark D. Preston, Peter G. Chamber-lain, and Simon N. Chandler-Wilde.A Nystrom method for a boundaryvalue problem arising in unsteady wa-ter wave problems. IMA Journalof Numerical Analysis, 31(3):1123–1153, July 2011. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/31/3/1123.full.pdf+html.

Priestley:1994:PNC

[1485] A. Priestley. The positive and

nearly conservative Lagrange–Galerkinmethod. IMA Journal of Numer-ical Analysis, 14(2):277–294, 1994.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Priestley:1997:MPN

[1486] A. Priestley. The multidimen-sional positive and nearly conserva-tive Lagrange–Galerkin method. PartII: The use of C1 elements. IMAJournal of Numerical Analysis, 17(2):177–199, April 1997. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_17/Issue_02/170177.sgm.abs.html.

Pruess:1993:SPC

[1487] Steven Pruess. Shape preserving C2 cu-bic spline interpolation. IMA Journalof Numerical Analysis, 13(4):493–507,1993. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Pryce:1985:MEA

[1488] J. D. Pryce. Multiplicative error anal-ysis of matrix transformation algo-rithms. IMA Journal of NumericalAnalysis, 5(4):437–445, 1985. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic).

Pryce:1986:ECP

[1489] J. D. Pryce. Error control of phase-function shooting methods for Sturm–Liouville problems. IMA Journalof Numerical Analysis, 6(1):103–123,1986. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

REFERENCES 237

Pryce:1989:CIR

[1490] J. D. Pryce. On the convergence of it-erated remeshing. IMA Journal of Nu-merical Analysis, 9(3):315–335, 1989.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Pytlak:1994:CCG

[1491] R. Pytlak. On the convergence of con-jugate gradient algorithms. IMA Jour-nal of Numerical Analysis, 14(3):443–460, 1994. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic).

Qi:2011:ALD

[1492] Houduo Qi and Defeng Sun. Anaugmented Lagrangian dual approachfor the H-weighted nearest correla-tion matrix problem. IMA Jour-nal of Numerical Analysis, 31(2):491–511, April 2011. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/31/2/491.full.pdf+html.

Qi:2019:EEF

[1493] Ruisheng Qi and Xiaojie Wang. Er-ror estimates of finite element methodfor semilinear stochastic stronglydamped wave equation. IMA Jour-nal of Numerical Analysis, 39(3):1594–1626, July 2019. CODEN IJ-NADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/39/3/1594/5032336.

Qiu:2016:SHM

[1494] Weifeng Qiu and Ke Shi. A supercon-vergent HDG method for the incom-pressible Navier–Stokes equations on

general polyhedral meshes. IMA Jour-nal of Numerical Analysis, 36(4):1943–1967, October 2016. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/36/4/1943.

Qiu:2020:MDM

[1495] Weifeng Qiu and Ke Shi. A mixed DGmethod and an HDG method for in-compressible magnetohydrodynamics.IMA Journal of Numerical Analysis,40(2):1356–1389, April 2020. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/40/2/1356/5289475.

Quell:2000:NSE

[1496] Peter Quell. Nonlinear stabilityof entropy flux splitting schemeson bounded domains. IMA Jour-nal of Numerical Analysis, 20(3):441–459, July 2000. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_20/Issue_03/200441.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_20/Issue_03/pdf/200441.pdf.

Radu:2018:RMC

[1497] Florin A. Radu, Kundan Kumar,Jan M. Nordbotten, and Iuliu S. Pop.A robust, mass conservative scheme fortwo-phase flow in porous media includ-ing Holder continuous nonlinearities.IMA Journal of Numerical Analysis, 38(2):884–920, April 18, 2018. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/38/2/884/3883930.

REFERENCES 238

Raina:1983:COQ

[1498] B. L. Raina and N. Kaul. A class of op-timal quadrature formulae. IMA Jour-nal of Numerical Analysis, 3(1):119–125, 1983. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic).

Ranocha:2021:SSE

[1499] Hendrik Ranocha. On strong stabil-ity of explicit Runge–Kutta methodsfor nonlinear semibounded operators.IMA Journal of Numerical Analysis, 41(1):654–682, January 2021. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/41/1/654/5760668.

Rasch:2009:RIF

[1500] Christian Rasch and Thomas Satzger.Remarks on the implementation of thefast marching method. IMA Jour-nal of Numerical Analysis, 29(3):806–813, July 2009. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/29/3/806; http://imajna.oxfordjournals.org/cgi/reprint/29/3/806.

Rathsfeld:1996:EEE

[1501] Andreas Rathsfeld. Error estimatesand extrapolation for the numerical so-lution of Mellin convolution equations.IMA Journal of Numerical Analysis, 16(2):217–255, April 1996. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_16/Issue_02/160217.sgm.abs.html.

Ravindran:2019:PTS

[1502] S. S. Ravindran. Partitioned time-stepping scheme for an MHD sys-tem with temperature-dependent co-efficients. IMA Journal of Numeri-cal Analysis, 39(4):1860–1887, Octo-ber 2019. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://academic.oup.com/imajna/article/39/4/1860/5043156.

Raydan:1993:BBC

[1503] Marcos Raydan. On the Barzilai andBorwein choice of steplength for thegradient method. IMA Journal of Nu-merical Analysis, 13(3):321–326, 1993.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Rebollo:2018:TDM

[1504] T. Chacon Rebollo and D. Yakoubi. Athree-dimensional model for two cou-pled turbulent fluids: numerical anal-ysis of a finite element approxima-tion. IMA Journal of Numerical Analy-sis, 38(4):1927–1958, October 16, 2018.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic). URLhttp://academic.oup.com/imajna/article/38/4/1927/4099779.

Reddy:2015:RVR

[1505] G. Murali Mohan Reddy and Rajen K.Sinha. Ritz–Volterra reconstructionsand a posteriori error analysis of finiteelement method for parabolic integro-differential equations. IMA Journalof Numerical Analysis, 35(1):341–371,January 2015. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/35/1/341.

REFERENCES 239

Reginska:1986:SEA

[1506] Teresa Reginska. Superconvergenceof external approximation of eigen-values of ordinary differential opera-tors. IMA Journal of Numerical Anal-ysis, 6(3):309–323, 1986. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Reifenberg:2000:NSB

[1507] Michele Reifenberg and Jean-PaulBerrut. Numerical solution of bound-ary integral equations by means ofattenuation factors. IMA Journalof Numerical Analysis, 20(1):25–46,January 2000. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_20/Issue_01/200025.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_20/Issue_01/pdf/200025.pdf.

Reisinger:2013:ALD

[1508] Christoph Reisinger. Analysis of lin-ear difference schemes in the sparsegrid combination technique. IMA Jour-nal of Numerical Analysis, 33(2):544–581, April 2013. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/33/2/544.full.pdf+html.

Reisinger:2014:INT

[1509] Christoph Reisinger and Alan Whit-ley. The impact of a natural timechange on the convergence of theCrank–Nicolson scheme. IMA Jour-nal of Numerical Analysis, 34(3):1156–1192, July 2014. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642


Ren:2016:APS

[1510] Zhi-Ru Ren and Yang Cao. An al-ternating positive-semidefinite split-ting preconditioner for saddle pointproblems from time-harmonic eddycurrent models. IMA Journal ofNumerical Analysis, 36(2):922–946,April 2016. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/36/2/922.

Fang:2011:SAB

[1511] Haw ren Fang. Stability analysis ofblock LDLT factorization for symmet-ric indefinite matrices. IMA Jour-nal of Numerical Analysis, 31(2):528–555, April 2011. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/31/2/528.full.pdf+html.

Repin:2011:GRE

[1512] Sergey I. Repin and Satyendra K.Tomar. Guaranteed and robust errorbounds for nonconforming approxima-tions of elliptic problems. IMA Jour-nal of Numerical Analysis, 31(2):597–615, April 2011. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/31/2/597.full.pdf+html.

Reusken:2015:ATF

[1513] Arnold Reusken. Analysis of trace fi-nite element methods for surface par-

REFERENCES 240

tial differential equations. IMA Jour-nal of Numerical Analysis, 35(4):1568–1590, October 2015. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/35/4/1568.

Reusken:2020:SFF

[1514] Arnold Reusken. Stream function for-mulation of surface Stokes equations.IMA Journal of Numerical Analysis, 40(1):109–139, January 2020. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/40/1/109/5133699.

Rieger:2020:SIA

[1515] Christian Rieger and Holger Wendland.Sampling inequalities for anisotropictensor product grids. IMA Journalof Numerical Analysis, 40(1):285–321,January 2020. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://academic.oup.com/imajna/article/40/1/285/5272536.

Riess:1982:MPE

[1516] R. D. Riess, L. W. Johnson, andJ. Chen. Maximum precision in Elliott-Donaldson formulae. IMA Journal ofNumerical Analysis, 2(4):429–435, Oc-tober 1982. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic).

Rivlin:1983:ORD

[1517] T. J. Rivlin, St. Ruscheweyh, D. Shaf-fer, and K.-J. Wirths. Optimal recov-ery of the derivative of bounded ana-lytic functions. IMA Journal of Nu-merical Analysis, 3(3):327–332, 1983.


Robinson:1992:VBE

[1518] P. D. Robinson and A. J. Wathen. Vari-ational bounds on the entries of the in-verse of a matrix. IMA Journal of Nu-merical Analysis, 12(4):463–486, 1992.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Rodriguez:2017:GST

[1519] Ana Alonso Rodrıguez, Jessika Camanno,Riccardo Ghiloni, and Alberto Valli.Graphs, spanning trees and divergence-free finite elements in domains ofgeneral topology. IMA Journal ofNumerical Analysis, 37(4):1986–2003,October 1, 2017. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL https://academic.oup.com/imajna/article/37/4/1986/2670302.

Rodriguez:2004:MFE

[1520] Ana Alonso Rodrıguez, Ralf Hipt-mair, and Alberto Valli. Mixed fi-nite element approximation of eddycurrent problems. IMA Journalof Numerical Analysis, 24(2):255–271, April 2004. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_24/Issue_02/240255.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_24/Issue_02/pdf/240255.pdf.

Rodriguez:1993:NIL

[1521] G. Rodriguez and S. Seatzu. Onthe numerical inversion of the Laplacetransform in reproducing kernel Hilbertspaces. IMA Journal of Numerical

REFERENCES 241

Analysis, 13(3):463–475, 1993. CO-DEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Romani:2016:EEC

[1522] Lucia Romani, Victoria HernandezMederos, and Jorge Estrada Sar-labous. Exact evaluation of aclass of nonstationary approximat-ing subdivision algorithms and re-lated applications. IMA Journal ofNumerical Analysis, 36(1):380–399,January 2016. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/36/1/380.

Roos:1996:NCU

[1523] Hans-Gorg Roos. A note on theconditioning of upwind schemes onShishkin meshes. IMA Journal ofNumerical Analysis, 16(4):529–538,October 1996. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_16/Issue_04/160529.sgm.abs.html.

Rottmann-Matthes:2019:IRS

[1524] Jens Rottmann-Matthes. An IMEX-RK scheme for capturing similarity so-lutions in the multidimensional Burg-ers’s equation. IMA Journal of Nu-merical Analysis, 39(1):342–373, Jan-uary 25, 2019. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://academic.oup.com/imajna/article/39/1/342/4591646.

Roubicek:2020:CTD

[1525] Tomas Roubıcek. Coupled time dis-cretization of dynamic damage mod-

els at small strains. IMA Jour-nal of Numerical Analysis, 40(3):1772–1791, July 2020. CODEN IJ-NADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/40/3/1772/5431182.

Rovas:2006:RBO

[1526] D. V. Rovas, L. Machiels, and Y. Ma-day. Reduced-basis output boundmethods for parabolic problems. IMAJournal of Numerical Analysis, 26(3):423–445, July 2006. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://comjnl.oxfordjournals.org/cgi/content/abstract/26/3/423; http://comjnl.oxfordjournals.org/cgi/reprint/26/3/423.

Rubensson:2021:LIF

[1527] Emanuel H. Rubensson, Anton G.Artemov, Anastasia Kruchinina, andElias Rudberg. Localized inverse fac-torization. IMA Journal of NumericalAnalysis, 41(1):729–763, January 2021.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic). URLhttp://academic.oup.com/imajna/article/41/1/729/5824482.

Rump:2003:OSN

[1528] Siegfried M. Rump. Optimal scal-ing for p-norms and componentwisedistance to singularity. IMA Jour-nal of Numerical Analysis, 23(1):1–9, January 2003. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_23/Issue_01/230001.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_23/Issue_01/pdf/230001.pdf.

REFERENCES 242

Rumpf:2015:VTD

[1529] Martin Rumpf and Benedikt Wirth.Variational time discretization ofgeodesic calculus. IMA Journalof Numerical Analysis, 35(3):1011–1046, July 2015. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/35/3/1011.

Russo:2011:HFE

[1530] Anahı Dello Russo and Ana Alonso.Hybrid finite element analysis of fluid-structure systems with coupling oncurved interfaces. IMA Journal ofNumerical Analysis, 31(4):1636–1682,October 2011. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/31/4/1636.full.pdf+html.

Sablonniere:1987:EBH

[1531] Paul Sablonniere. Error bounds forHermite interpolation by quadraticsplines on an α-triangulation. IMAJournal of Numerical Analysis, 7(4):495–508, 1987. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic).

Saedpanah:2015:CGF

[1532] Fardin Saedpanah. ContinuousGalerkin finite element methods forhyperbolic integro-differential equa-tions. IMA Journal of Numeri-cal Analysis, 35(2):885–908, April2015. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://imajna.oxfordjournals.org/content/35/2/885.

Saito:2007:CUF

[1533] Norikazu Saito. Conservative up-wind finite-element method for asimplified Keller–Segel system mod-elling chemotaxis. IMA Journalof Numerical Analysis, 27(2):332–365, April 2007. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/27/2/332; http://imajna.oxfordjournals.org/cgi/reprint/27/2/332.

Salane:1981:SMN

[1534] D. Salane and R. P. Tewarson. Onsymmetric minimum norm updates.IMA Journal of Numerical Analysis,1(2):235–240, 1981. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Salaun:2015:LOF

[1535] Michel Salaun and Stephanie Salmon.Low-order finite element method forthe well-posed bidimensional Stokesproblem. IMA Journal of Numer-ical Analysis, 35(1):427–453, Jan-uary 2015. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/35/1/427.

Sander:2016:GFE

[1536] Oliver Sander. Geodesic finite ele-ments of higher order. IMA Jour-nal of Numerical Analysis, 36(1):238–266, January 2016. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/36/1/238.

REFERENCES 243

Sandstede:1997:CEN

[1537] Bjorn Sandstede. Convergence esti-mates for the numerical approxima-tion of homoclinic solutions. IMAJournal of Numerical Analysis, 17(3):437–462, July 1997. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_17/Issue_03/170437.sgm.abs.html.

Santos:1988:FEM

[1538] Juan Enrique Santos, Jim Douglas, Jr.,Mary E. Morley, and Oscar M. Lovera.Finite element methods for a model forfull waveform acoustic logging. IMAJournal of Numerical Analysis, 8(4):415–433, October 1988. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Santos-Palomo:2006:UDU

[1539] Angel Santos-Palomo and PabloGuerrero-Garcıa. Updating and down-dating an upper trapezoidal sparse or-thogonal factorization. IMA Jour-nal of Numerical Analysis, 26(1):1–10, January 2006. CODEN IJ-NADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://imanum.oxfordjournals.org/cgi/content/abstract/26/1/1; http://imanum.oxfordjournals.org/cgi/reprint/26/1/1.

Sanz-Serna:1981:LIV

[1540] J. M. Sanz-Serna. Linearly im-plicit variable coefficient methods ofLambert–Sigurdsson type. IMA Jour-nal of Numerical Analysis, 1(1):39–45,1981. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Sanz-Serna:2009:MFE

[1541] J. M. Sanz-Serna. Modulated Fourierexpansions and heterogeneous mul-tiscale methods. IMA Journal ofNumerical Analysis, 29(3):595–605,July 2009. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/29/3/595; http://imajna.oxfordjournals.org/cgi/reprint/29/3/595.

Sanz-Serna:1991:NCR

[1542] J. M. Sanz-Serna and D. F. Griffiths.A new class of results for the al-gebraic equations of implicit Runge–Kutta processes. IMA Journal of Nu-merical Analysis, 11(4):449–455, 1991.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Sanz-Serna:1992:NUT

[1543] J. M. Sanz-Serna and A. M. Stuart.A note on uniform in time error esti-mates for approximations to reaction-diffusion equations. IMA Journalof Numerical Analysis, 12(3):457–462,1992. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).IMA Conference on Dynamics of Nu-merics and Numerics of Dynamics(Bristol, 1990).

Sanz-Serna:1986:CNS

[1544] J. M. Sanz-Serna and J. G. Ver-wer. Conservative and nonconservativeschemes for the solution of the nonlin-ear Schrodinger equation. IMA Jour-nal of Numerical Analysis, 6(1):25–42,1986. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

REFERENCES 244

Sanz-Serna:2019:SAA

[1545] J. M. Sanz-Serna and Beibei Zhu.A stroboscopic averaging algorithmfor highly oscillatory delay problems.IMA Journal of Numerical Analysis,39(3):1110–1133, July 2019. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/39/3/1110/4969764.

Saranen:1992:QML

[1546] J. Saranen and Ian H. Sloan. Quadra-ture methods for logarithmic-kernelintegral equations on closed curves.IMA Journal of Numerical Analysis,12(2):167–187, 1992. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Sardella:2000:CFE

[1547] Mirko Sardella. On a coupled fi-nite element–finite volume method forconvection-diffusion problems. IMAJournal of Numerical Analysis, 20(2):281–301, April 2000. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_20/Issue_02/200281.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_20/Issue_02/pdf/200281.pdf.

Saunders:1984:VIS

[1548] R. Saunders, J. Caldwell, and P. Wan-less. A variational-iterative schemeapplied to Burgers’ equation. IMAJournal of Numerical Analysis, 4(3):349–362, July 1984. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Sauter:2010:REA

[1549] Martin Sauter and Christian Wieners.Robust estimates for the approxi-mation of the dynamic consolida-tion problem. IMA Journal ofNumerical Analysis, 30(3):832–856,July 2010. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/30/3/832; http://imajna.oxfordjournals.org/cgi/reprint/30/3/832.

Sauter:2014:RBI

[1550] S. Sauter and A. Veit. Retardedboundary integral equations on thesphere: exact and numerical so-lution. IMA Journal of Numer-ical Analysis, 34(2):675–699, April2014. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://imajna.oxfordjournals.org/content/34/2/675.full.pdf+html.

Sayer:1983:SAI

[1551] F. P. Sayer. Some aspects of infinitesystems of linear simultaneous equa-tions. IMA Journal of Numerical Anal-ysis, 3(3):333–340, 1983. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Schagen:1984:SEU

[1552] I. P. Schagen. Sequential explorationof unknown multidimensional functionsas an aid to optimization. IMAJournal of Numerical Analysis, 4(3):337–347, July 1984. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

REFERENCES 245

Schatzle:2000:PZC

[1553] Reiner Schatzle. On the perturbationof the zeros of complex polynomials.IMA Journal of Numerical Analysis, 20(2):185–202, April 2000. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_20/Issue_02/200185.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_20/Issue_02/pdf/200185.pdf.

Schecter:1995:RCN

[1554] Stephen Schecter. Rate of convergenceof numerical approximations to homo-clinic bifurcation points. IMA Jour-nal of Numerical Analysis, 15(1):23–60,1995. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Schittkowski:1983:NSC

[1555] Klaus Schittkowski. The numericalsolution of constrained linear least-squares problems. IMA Journal ofNumerical Analysis, 3(1):11–36, 1983.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Schmitt:2001:EAR

[1556] Bernhard A. Schmitt and RudigerWeiner. Equilibrium attractivity ofRunge–Kutta methods. IMA Jour-nal of Numerical Analysis, 21(1):327–348, January 2001. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_01/210327.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_01/pdf/210327.pdf.

Schmitt:2018:PHV

[1557] Jeremy M. Schmitt and Melvin Leok.Properties of Hamiltonian variationalintegrators. IMA Journal of Nu-merical Analysis, 38(1):377–398, Jan-uary 25, 2018. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://academic.oup.com/imajna/article/38/1/377/3065609.

Schoberl:2008:ASP

[1558] Joachim Schoberl, Jens M. Melenk,Clemens Pechstein, and Sabine Za-glmayr. Additive Schwarz precondi-tioning for p-version triangular andtetrahedral finite elements. IMAJournal of Numerical Analysis, 28(1):1–24, January 2008. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/28/1/1; http://imajna.oxfordjournals.org/cgi/reprint/28/1/1.

Schock:1985:ASC

[1559] Eberhard Schock. Arbitrarily slow con-vergence, uniform convergence and su-perconvergence of Galerkin-like meth-ods. IMA Journal of Numerical Anal-ysis, 5(2):153–160, 1985. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Schonfelder:1981:ECP

[1560] J. L. Schonfelder and M. Razaz. Er-ror control with polynomial approxima-tions. IMA Journal of Numerical Anal-ysis, 1(1):105–114, 1981. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

REFERENCES 246

Schoombie:1982:SPG

[1561] S. W. Schoombie. Spline Petrov–Galerkin methods for the numerical so-lution of the Korteweg–de Vries equa-tion. IMA Journal of NumericalAnalysis, 2(1):95–109, January 1982.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Schoombie:1991:SPS

[1562] S. W. Schoombie. Stability proper-ties and spurious period two solutionsin a numerical scheme for a reaction-diffusion equation with nonlinear diffu-sion. IMA Journal of Numerical Anal-ysis, 11(4):553–578, 1991. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Schoombie:1981:EES

[1563] S. W. Schoombie and J. F. Botha.Error estimates for the solution ofthe radial Schrodinger equation by theRayleigh–Ritz finite element method.IMA Journal of Numerical Analy-sis, 1(1):47–63, 1981. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Schotzau:2001:ECG

[1564] Dominik Schotzau and ChristophSchwab. Exponential convergencein a Galerkin least squares hp-FEM for Stokes flow. IMA Jour-nal of Numerical Analysis, 21(1):53–80, January 2001. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_01/210053.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_01/pdf/210053.pdf.

Schotzau:2004:MHD

[1565] Dominik Schotzau, Christoph Schwab,and Andrea Toselli. Mixed hp-DGFEM for incompressible flows II:Geometric edge meshes. IMA Jour-nal of Numerical Analysis, 24(2):273–308, April 2004. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_24/Issue_02/240273.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_24/Issue_02/pdf/240273.pdf.

Schroll:1996:FDS

[1566] Hans Joachim Schroll and RagnarWinther. Finite-difference schemesfor scalar conservation laws withsource terms. IMA Journal ofNumerical Analysis, 16(2):201–215,April 1996. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_16/Issue_02/160201.sgm.abs.html.

Schropp:2000:OSM

[1567] Johannes Schropp. One-step andmultistep procedures for constrainedminimization problems. IMA Jour-nal of Numerical Analysis, 20(1):135–152, January 2000. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_20/Issue_01/200135.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_20/Issue_01/pdf/200135.pdf.

Schropp:2008:PRK

[1568] Johannes Schropp. Projected Runge–Kutta methods for index 3 differential–

REFERENCES 247

algebraic equations near equilib-ria, periodic orbits and attractingsets. IMA Journal of Numeri-cal Analysis, 28(2):274–291, April2008. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/28/2/274; http://imajna.oxfordjournals.org/cgi/reprint/28/2/274.

Schutz:2014:ACA

[1569] Jochen Schutz and Georg May. An ad-joint consistency analysis for a classof hybrid mixed methods. IMA Jour-nal of Numerical Analysis, 34(3):1222–1239, July 2014. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/34/3/1222.

Scott:1988:EOC

[1570] Jennifer Scott and Sean McKee. On theexact order of convergence of discretemethods for Volterra-type equations.IMA Journal of Numerical Analysis, 8(4):511–515, October 1988. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic).

Seguin:2020:APD

[1571] Nicolas Seguin and Magali Tournus.Asymptotic preserving discretization ofa Jin–Xin model with implicit equilib-rium manifold on a bounded domain.IMA Journal of Numerical Analysis, 40(1):530–562, January 2020. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/40/1/530/5264877.

Selwood:1996:CRC

[1572] P. M. Selwood and A. J. Wathen. Con-vergence rates and classification forone-dimensional finite-element meshes.IMA Journal of Numerical Analysis, 16(1):65–74, January 1996. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_16/Issue_01/160065.sgm.abs.html.

Semper:1994:LFE

[1573] Bill Semper. Locking in finite-elementapproximations to long thin extensi-ble beams. IMA Journal of NumericalAnalysis, 14(1):97–109, 1994. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic).

Sete:2020:NMH

[1574] Olivier Sete and Jan Zur. A Newtonmethod for harmonic mappings in theplane. IMA Journal of Numerical Anal-ysis, 40(4):2777–2801, October 2020.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic). URLhttp://academic.oup.com/imajna/article/40/4/2777/5628133.

Seward:1984:SHO

[1575] W. L. Seward, G. Fairweather, andR. L. Johnston. A survey of higher-order methods for the numerical inte-gration of semidiscrete parabolic prob-lems. IMA Journal of NumericalAnalysis, 4(4):375–425, October 1984.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Shampine:1983:EEM

[1576] L. F. Shampine. Efficient extrapola-tion methods for ODEs. IMA Journal

REFERENCES 248


Shampine:1985:EEM

[1577] L. F. Shampine. Efficient extrapola-tion methods for ODEs. II. IMA Jour-nal of Numerical Analysis, 5(1):23–28,1985. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Shampine:1988:SVI

[1578] L. F. Shampine. Solving Volterra inte-gral equations with ODE codes. IMAJournal of Numerical Analysis, 8(1):37–41, 1988. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic).

Sharon:2013:ASF

[1579] Nir Sharon and Uri Itai. Approxima-tion schemes for functions of positive-definite matrix values. IMA Jour-nal of Numerical Analysis, 33(4):1436–1468, October 2013. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/33/4/1436.full.pdf+html.

Sharp:2004:CID

[1580] P. W. Sharp. Comparisons of in-tegrators on a diverse collection ofrestricted three-body test problems.IMA Journal of Numerical Anal-ysis, 24(4):557–575, October 2004.CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).URL http://imanum.oupjournals.org/cgi/content/abstract/24/4/557;http://imanum.oupjournals.org/cgi/reprint/24/4/557.

Sharp:1990:TST

[1581] P. W. Sharp, J. M. Fine, and K. Bur-rage. Two-stage and three-stage diag-onally implicit Runge–Kutta Nystrommethods of orders three and four.IMA Journal of Numerical Analysis,10(4):489–504, 1990. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Shaw:2010:DEM

[1582] S. Shaw, M. K. Warby, and J. R.Whiteman. Discretization errorand modelling error in the contextof the rapid inflation of hyperelas-tic membranes. IMA Journal ofNumerical Analysis, 30(1):302–333,January 2010. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/30/1/302; http://imajna.oxfordjournals.org/cgi/reprint/30/1/302.

Sheen:2003:PMT

[1583] Dongwoo Sheen, Ian H. Sloan, andVidar Thomee. A parallel methodfor time discretization of parabolicequations based on Laplace transfor-mation and quadrature. IMA Jour-nal of Numerical Analysis, 23(2):269–299, April 2003. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_23/Issue_02/230269.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_23/Issue_02/pdf/230269.pdf.

Shen:1999:EBF

[1584] Wen Shen. Error bounds of fi-nite difference schemes for multi-

REFERENCES 249

dimensional scalar conservation lawswith source terms. IMA Journalof Numerical Analysis, 19(1):77–89,January 1999. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_19/Issue_01/190077.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_19/Issue_01/pdf/190077.pdf.

Shen:2006:TAS

[1585] Xunyang Shen and Peter R. Turner.Taylor approximation for symmetriclevel-index arithmetic processing. IMAJournal of Numerical Analysis, 26(3):584–603, July 2006. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://comjnl.oxfordjournals.org/cgi/content/abstract/26/3/584; http://comjnl.oxfordjournals.org/cgi/reprint/26/3/584.

Sheng:1989:SLP

[1586] Q. Sheng. Solving linear partial differ-ential equations by exponential split-ting. IMA Journal of Numerical Anal-ysis, 9(2):199–212, 1989. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Sheng:1994:GEE

[1587] Qin Sheng. Global error estimates forexponential splitting. IMA Journal ofNumerical Analysis, 14(1):27–56, 1994.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Shih:2000:IMS

[1588] Yin-Tzer Shih and Howard C. El-man. Iterative methods for stabilizeddiscrete convection-diffusion problems.

IMA Journal of Numerical Analysis,20(3):333–358, 2000. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_20/Issue_03/200333.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_20/Issue_03/pdf/200333.pdf.

Shingel:2009:ISO

[1589] Tatiana Shingel. Interpolation in spe-cial orthogonal groups. IMA Jour-nal of Numerical Analysis, 29(3):731–745, July 2009. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/29/3/731; http://imajna.oxfordjournals.org/cgi/reprint/29/3/731.

Sidi:2012:UFE

[1590] Avram Sidi. A user-friendly extrap-olation method for computing infi-nite range integrals of products ofoscillatory functions. IMA Jour-nal of Numerical Analysis, 32(2):602–631, April 2012. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/32/2/602.full.pdf+html.

Sidi:1982:RAT

[1591] Avram Sidi and David Levin. Ra-tional approximations from the d-transformation. IMA Journal of Nu-merical Analysis, 2(2):153–167, April1982. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Siebert:2011:CPA

[1592] Kunibert G. Siebert. A conver-

REFERENCES 250

gence proof for adaptive finite ele-ments without lower bound. IMA Jour-nal of Numerical Analysis, 31(3):947–970, July 2011. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/31/3/947.full.pdf+html.

Simoncini:2020:NSC

[1593] Valeria Simoncini. On the numeri-cal solution of a class of systems oflinear matrix equations. IMA Jour-nal of Numerical Analysis, 40(1):207–225, January 2020. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://academic.oup.com/imajna/article/40/1/207/5195702.

Simoncini:2014:TNM

[1594] Valeria Simoncini, Daniel B. Szyld, andMarlliny Monsalve. On two numeri-cal methods for the solution of large-scale algebraic Riccati equations. IMAJournal of Numerical Analysis, 34(3):904–920, July 2014. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/34/3/904.

Simos:1991:SNF

[1595] T. E. Simos. Some new four-step exponential-fitting methods forthe numerical solution of the radialSchrodinger equation. IMA Journalof Numerical Analysis, 11(3):347–356,1991. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Simos:2001:FAO

[1596] T. E. Simos. A fourth algebraic or-der exponentially-fitted Runge–Kutta

method for the numerical solutionof the Schrodinger equation. IMAJournal of Numerical Analysis, 21(4):919–931, October 2001. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_04/210919.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_04/pdf/210919.pdf.

Simpson:1994:TEA

[1597] R. B. Simpson. Testing for effects ofasymmetry and instability on precon-ditioned iterations of conjugate gradi-ent type. IMA Journal of NumericalAnalysis, 14(1):1–25, 1994. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Singler:2011:CSA

[1598] John R. Singler. Convergent snap-shot algorithms for infinite-dimensionalLyapunov equations. IMA Journal ofNumerical Analysis, 31(4):1468–1496,October 2011. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/31/4/1468.full.pdf+html.

Sinha:2007:UFE

[1599] Rajen Kumar Sinha and BhupenDeka. An unfitted finite-elementmethod for elliptic and parabolicinterface problems. IMA Journalof Numerical Analysis, 27(3):529–549, July 2007. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/27/3/529; http://imajna.

REFERENCES 251


Skrobanski:1990:BNM

[1600] J. J. Skrobanski. Bounded-normmatrix-inverse mappings. IMA Journalof Numerical Analysis, 10(4):537–554,1990. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Slevinsky:2018:UHA

[1601] Richard Mikael Slevinsky. On the useof Hahn’s asymptotic formula and sta-bilized recurrence for a fast, simpleand stable Chebyshev–Jacobi trans-form. IMA Journal of Numerical Anal-ysis, 38(1):102–124, January 25, 2018.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic). URLhttp://academic.oup.com/imajna/article/38/1/102/3038020.

Sloan:1981:SAC

[1602] D. M. Sloan. Stability and accu-racy of a class of numerical bound-ary conditions for the advection equa-tion. IMA Journal of Numerical Anal-ysis, 1(3):285–301, 1981. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Sloan:1986:PMI

[1603] I. H. Sloan and A. Spence. Projec-tion methods for integral equations onthe half-line. IMA Journal of Nu-merical Analysis, 6(2):153–172, 1986.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Sloan:1988:GMIa

[1604] I. H. Sloan and A. Spence. TheGalerkin method for integral equations

of the first kind with logarithmic ker-nel: applications. IMA Journal of Nu-merical Analysis, 8(1):123–140, 1988.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Sloan:1988:GMIb

[1605] I. H. Sloan and A. Spence. TheGalerkin method for integral equationsof the first kind with logarithmic ker-nel: theory. IMA Journal of Nu-merical Analysis, 8(1):105–122, 1988.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Sloan:1984:FVG

[1606] Ian H. Sloan. Four variants of theGalerkin method for integral equationsof the second kind. IMA Journal of Nu-merical Analysis, 4(1):9–17, January1984. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Sloan:1993:FOC

[1607] Ian H. Sloan, Dat Tran, and GraemeFairweather. A fourth-order cubicspline method for linear second-ordertwo-point boundary value problems.IMA Journal of Numerical Analysis,13(4):591–607, 1993. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Slodicka:2006:TDS

[1608] M. Slodicka. A time discretiza-tion scheme for a non-linear degen-erate eddy current model for ferro-magnetic materials. IMA Journalof Numerical Analysis, 26(1):173–187,January 2006. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imanum.oxfordjournals.org/cgi/content/

REFERENCES 252

abstract/26/1/173; http://imanum.oxfordjournals.org/cgi/reprint/26/1/173.

Small:1988:CDN

[1609] R. D. Small and R. J. Charron. Con-tinuous and discrete nonlinear approx-imations based on Fourier series. IMAJournal of Numerical Analysis, 8(3):281–293, 1988. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic).

Smarzewski:1983:UCC

[1610] R. Smarzewski and A. Bujalska.Uniform convergence of cubic andquadratic X-spline interpolants. IMAJournal of Numerical Analysis, 3(3):353–372, 1983. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic).

Smears:2017:REP

[1611] Iain Smears. Robust and efficientpreconditioners for the discontinuousGalerkin time-stepping method. IMAJournal of Numerical Analysis, 37(4):1961–1985, October 1, 2017. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL https://academic.oup.com/imajna/article/37/4/1961/2433377.

Smith:1997:IAT

[1612] Antony Smith and David Silvester. Im-plicit algorithms and their lineariza-tion for the transient incompressibleNavier–Stokes equations. IMA Jour-nal of Numerical Analysis, 17(4):527–545, October 1997. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_17/Issue_04/170527.sgm.abs.html.

Smitheman:2010:SCM

[1613] S. A. Smitheman, E. A. Spence,and A. S. Fokas. A spectral collo-cation method for the Laplace andmodified Helmholtz equations in aconvex polygon. IMA Journal ofNumerical Analysis, 30(4):1184–1205,October 2010. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/30/4/1184.full.pdf+html.

Sogn:2019:SCP

[1614] Jarle Sogn and Walter Zulehner. Schurcomplement preconditioners for mul-tiple saddle point problems of blocktridiagonal form with application tooptimization problems. IMA Jour-nal of Numerical Analysis, 39(3):1328–1359, July 2019. CODEN IJ-NADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/39/3/1328/5000058.

Soler:1990:VFM

[1615] Juan Soler. Vortex filament method.IMA Journal of Numerical Analysis, 10(1):75–102, January 1990. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Sonar:1996:ORU

[1616] Thomas Sonar. Optimal recovery us-ing thin plate splines in finite volumemethods for the numerical solution ofhyperbolic conservation laws. IMAJournal of Numerical Analysis, 16(4):549–581, October 1996. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.

REFERENCES 253

oup.co.uk/imanum/hdb/Volume_16/Issue_04/160549.sgm.abs.html.

Sorokina:2014:RSC

[1617] T. Sorokina. Redundancy of smooth-ness conditions and supersmoothnessof bivariate splines. IMA Journal ofNumerical Analysis, 34(4):1701–1714,October 2014. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/34/4/1701.

Sorokina:2007:LQI

[1618] Tatyana Sorokina and Frank Zeil-felder. Local quasi-interpolation bycubic C1 splines on type-6 tetra-hedral partitions. IMA Journalof Numerical Analysis, 27(1):74–101,January 2007. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/27/1/74; http://imajna.oxfordjournals.org/cgi/reprint/27/1/74.

Speleers:2008:MMP

[1619] Hendrik Speleers, Paul Dierckx, andStefan Vandewalle. Multigrid meth-ods with Powell–Sabin splines. IMAJournal of Numerical Analysis, 28(4):888–908, October 2008. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/28/4/888.

Spence:1983:SPG

[1620] A. Spence and K. S. Thomas. On su-perconvergence properties of Galerkin’smethod for compact operator equa-

tions. IMA Journal of Numerical Anal-ysis, 3(3):253–271, 1983. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Spence:1982:NTP

[1621] A. Spence and B. Werner. Nonsim-ple turning points and cusps. IMAJournal of Numerical Analysis, 2(4):413–427, October 1982. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Srivastav:1983:NSSb

[1622] R. P. Srivastav. Numerical solu-tion of singular integral equations us-ing Gauss-type formulae. I. Quadra-ture and collocation on Chebyshevnodes. IMA Journal of NumericalAnalysis, 3(3):305–318, 1983. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic).

Srivastav:1983:NSSa

[1623] R. P. Srivastav and Erica Jen. Nu-merical solution of singular integralequations using Gauss-type formulae.II. Lobatto-Chebyshev quadrature andcollocation on Chebyshev nodes. IMAJournal of Numerical Analysis, 3(3):319–325, 1983. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic).

Stein:1997:BHF

[1624] O. Stein. Bifurcations of hyper-bolic fixed points for explicit Runge–Kutta methods. IMA Journal ofNumerical Analysis, 17(2):151–175,April 1997. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_17/

REFERENCES 254

Issue_02/170151.sgm.abs.html. Seeerratum [1625].

Stein:1998:EBH

[1625] O. Stein. Erratum: “Bifurcationsof hyperbolic fixed points for explicitRunge–Kutta methods” [IMA J. Nu-mer. Anal. 17 (1997), no. 2, 151–175; MR 98d:65103]. IMA Jour-nal of Numerical Analysis, 18(2):329, April 1998. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_18/Issue_02/180329.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_18/Issue_02/pdf/180329.pdf. See[1624].

Steinbach:2016:TFP

[1626] Olaf Steinbach, Barbara Wohlmuth,and Linus Wunderlich. Trace andflux a priori error estimates in finite-element approximations of Signorni-type problems. IMA Journal ofNumerical Analysis, 36(3):1072–1095,July 2016. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/36/3/1072.

Stephan:2000:DDA

[1627] Ernst P. Stephan and Thanh Tran. Do-main decomposition algorithms for in-definite weakly singular integral equa-tions: the h and p versions. IMAJournal of Numerical Analysis, 20(1):1–24, January 2000. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_20/Issue_01/200001.sgm.abs.html; http:


Stevenson:2008:CDO

[1628] Rob Stevenson and Manuel Werner.Computation of differential operatorsin aggregated wavelet frame coor-dinates. IMA Journal of Numer-ical Analysis, 28(2):354–381, April2008. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/28/2/354; http://imajna.oxfordjournals.org/cgi/reprint/28/2/354.

Stevenson:2021:SGD

[1629] Rob Stevenson and Jan Westerdiep.Stability of Galerkin discretizations ofa mixed space–time variational formu-lation of parabolic evolution equations.IMA Journal of Numerical Analysis,41(1):28–47, January 2021. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/41/1/28/5721757.

Stevenson:2014:FOS

[1630] Rob P. Stevenson. First-order sys-tem least squares with inhomogeneousboundary conditions. IMA Jour-nal of Numerical Analysis, 34(3):863–878, July 2014. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/34/3/863.

Stewart:1997:PCF

[1631] G. W. Stewart. On the perturbationof LU and Cholesky factors. IMA

REFERENCES 255

Journal of Numerical Analysis, 17(1):1–6, January 1997. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_17/Issue_01/170001.sgm.abs.html.

Stewart:1997:TMG

[1632] G. W. Stewart. The triangular ma-trices of Gaussian elimination andrelated decompositions. IMA Jour-nal of Numerical Analysis, 17(1):7–16, January 1997. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_17/Issue_01/170007.sgm.abs.html.

Stoll:2014:OSS

[1633] Martin Stoll. One-shot solutionof a time-dependent time-periodicPDE-constrained optimization prob-lem. IMA Journal of Numeri-cal Analysis, 34(4):1554–1577, Oc-tober 2014. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/34/4/1554.

Strauss:2011:QPM

[1634] Michael Strauss. Quadratic pro-jection methods for approximatingthe spectrum of self-adjoint oper-ators. IMA Journal of Numeri-cal Analysis, 31(1):40–60, January2011. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://imajna.oxfordjournals.org/content/31/1/40.full.pdf+html.

Streit:1989:EET

[1635] Uwe Streit. An efficient enthalpy-type method for the Stefan prob-lem. IMA Journal of Numerical Anal-ysis, 9(3):353–372, 1989. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Stuart:1989:LII

[1636] Andrew Stuart. Linear instability im-plies spurious periodic solutions. IMAJournal of Numerical Analysis, 9(4):465–486, 1989. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic).

Styles:2001:EEF

[1637] Vanessa Styles. Error estimates fora finite-difference approximation of amean field model of superconduct-ing vortices in one-dimension. IMAJournal of Numerical Analysis, 21(3):667–701, July 2001. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_03/210667.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_03/pdf/210667.pdf.

Stynes:2015:FDM

[1638] Martin Stynes and Jose Luis Gracia. Afinite difference method for a two-pointboundary value problem with a Ca-puto fractional derivative. IMA Jour-nal of Numerical Analysis, 35(2):698–721, April 2015. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/35/2/698.

REFERENCES 256

Stynes:2001:SDM

[1639] Martin Stynes and Lutz Tobiska. Thestreamline-diffusion method for non-conforming Q elements on rectan-gular tensor-product meshes. IMAJournal of Numerical Analysis, 21(1):123–142, January 2001. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_01/210123.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_01/pdf/210123.pdf.

Su:2018:EEF

[1640] Chunmei Su and Wenfan Yi. Error es-timates of a finite difference methodfor the Klein–Gordon–Zakharov sys-tem in the subsonic limit regime. IMAJournal of Numerical Analysis, 38(4):2055–2073, October 16, 2018. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/38/4/2055/4082920.

Suli:2020:FDF

[1641] Endre Suli and Tabea Tscherpel. Fullydiscrete finite element approximationof unsteady flows of implicitly consti-tuted incompressible fluids. IMA Jour-nal of Numerical Analysis, 40(2):801–849, April 2020. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://academic.oup.com/imajna/article/40/2/801/5310121.

Sun:1995:FEMb

[1642] Guang Fu Sun and Martin Stynes.Finite-element methods for singularlyperturbed high-order elliptic two-point

boundary value problems. I. Reaction-diffusion-type problems. IMA Journalof Numerical Analysis, 15(1):117–139,1995. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Sun:1995:FEMa

[1643] Guang Fu Sun and Martin Stynes.Finite-element methods for singu-larly perturbed high-order elliptic two-point boundary value problems. II.Convection-diffusion-type problems.IMA Journal of Numerical Analysis,15(2):197–219, 1995. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Sun:1996:OBP

[1644] Ji-Guang Sun. Optimal backwardperturbation bounds for the linearleast-squares problem with multi-ple right-hand sides. IMA Jour-nal of Numerical Analysis, 16(1):1–11, January 1996. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_16/Issue_01/160001.sgm.abs.html.

Sun:2008:IQR

[1645] Weiwei Sun and Jiming Wu. Interpo-latory quadrature rules for Hadamardfinite-part integrals and their su-perconvergence. IMA Journal ofNumerical Analysis, 28(3):580–597,July 2008. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/28/3/580; http://imajna.oxfordjournals.org/cgi/reprint/28/3/580.

REFERENCES 257

Sun:2001:NAE

[1646] Xiaodi Sun. Numerical analysis ofan exponentially ill-conditioned bound-ary value problem with applicationsto metastable problems. IMA Jour-nal of Numerical Analysis, 21(4):817–842, October 2001. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_04/210817.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_04/pdf/210817.pdf.

Surla:1990:SUC

[1647] K. Surla and Z. Uzelac. Some uniformlyconvergent spline difference schemes forsingularly perturbed boundary valueproblems. IMA Journal of Numer-ical Analysis, 10(2):209–222, 1990.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Sutton:2020:LTP

[1648] Oliver J. Sutton. Long-time L∞(L2) aposteriori error estimates for fully dis-crete parabolic problems. IMA Jour-nal of Numerical Analysis, 40(1):498–529, January 2020. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://academic.oup.com/imajna/article/40/1/498/5256710.

Szyld:2014:SPI

[1649] Daniel B. Szyld and Fei Xue. Severalproperties of invariant pairs of nonlin-ear algebraic eigenvalue problems. IMAJournal of Numerical Analysis, 34(3):921–954, July 2014. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.


Tadmor:2005:AFP

[1650] Eitan Tadmor and Jared Tanner.Adaptive filters for piecewise smoothspectral data. IMA Journal of Nu-merical Analysis, 25(4):635–647, Oc-tober 2005. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imanum.oxfordjournals.org/cgi/reprint/25/4/635.

Tan:1987:CDE

[1651] Roger C. E. Tan. Computing deriva-tives of eigensystems by the vector ε-algorithm. IMA Journal of NumericalAnalysis, 7(4):485–494, 1987. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic).

Tan:1989:CDE

[1652] Roger C. E. Tan and Alan L. Andrew.Computing derivatives of eigenvaluesand eigenvectors by simultaneous itera-tion. IMA Journal of Numerical Anal-ysis, 9(1):111–122, 1989. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Tan:2020:STP

[1653] Wee Chin Tan and Viet Ha Hoang.Sparse tensor product finite elementmethod for nonlinear multiscale vari-ational inequalities of monotone type.IMA Journal of Numerical Analysis,40(3):1875–1907, July 2020. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/40/3/1875/5380580.

REFERENCES 258

Tanaka:2016:FAN

[1654] Ken’ichiro Tanaka. A fast and ac-curate numerical method for sym-metric Levy processes based on theFourier transform and sinc-Gausssampling formula. IMA Journalof Numerical Analysis, 36(3):1362–1388, July 2016. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/36/3/1362.

Tanaka:2017:PTA

[1655] Ken’ichiro Tanaka, Tomoaki Okayama,and Masaaki Sugihara. Potential the-oretic approach to design of accu-rate formulas for function approxi-mation in symmetric weighted Hardyspaces. IMA Journal of Numer-ical Analysis, 37(2):861–904, April2017. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).URL https://academic.oup.com/imajna/article/37/2/861/2669979/Potential-theoretic-approach-to-design-of-accurate.

Tanaka:2019:DAF

[1656] Ken’ichiro Tanaka and Masaaki Sug-ihara. Design of accurate formu-las for approximating functions inweighted Hardy spaces by discreteenergy minimization. IMA Journalof Numerical Analysis, 39(4):1957–1984, October 2019. CODEN IJ-NADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/39/4/1957/5075943.

Tang:1993:NCM

[1657] Tao Tang. A note on collocation meth-

ods for Volterra integro-differentialequations with weakly singular ker-nels. IMA Journal of Numerical Anal-ysis, 13(1):93–99, 1993. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Tao:2016:VLI

[1658] Molei Tao and Houman Owhadi. Vari-ational and linearly implicit integra-tors, with applications. IMA Jour-nal of Numerical Analysis, 36(1):80–107, January 2016. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/36/1/80.

Tarvainen:1999:TLS

[1659] Pasi Tarvainen. Two-level Schwarzmethod for unilateral variational in-equalities. IMA Journal of Numer-ical Analysis, 19(2):273–290, April1999. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_19/Issue_02/190273.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_19/Issue_02/pdf/190273.pdf.

Taylor:2010:LCL

[1660] Rodney Taylor and Vilmos Totik.Lebesgue constants for Leja points.IMA Journal of Numerical Analysis,30(2):462–486, April 2010. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/30/2/462; http://imajna.oxfordjournals.org/cgi/reprint/30/2/462.

REFERENCES 259

teRiele:1982:CMW

[1661] Herman J. J. te Riele. Collocationmethods for weakly singular second-kind Volterra integral equations withnonsmooth solution. IMA Journal ofNumerical Analysis, 2(4):437–449, Oc-tober 1982. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic).

Thatcher:1982:CSD

[1662] R. W. Thatcher and S. L. Askew. Acomplementary solution to the damproblem. IMA Journal of Numeri-cal Analysis, 2(2):229–239, April 1982.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Editors:2001:E

[1663] The Editors. Editorial. IMA Jour-nal of Numerical Analysis, 21(1):0,January 2001. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_01/210000.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_01/pdf/210000.pdf.

Ting:1981:CPB

[1664] B. Y. Ting and Y. L. Luke. Conver-sion of polynomials between differentpolynomial bases. IMA Journal of Nu-merical Analysis, 1(2):229–234, 1981.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Titarev:2007:AAA

[1665] V. A. Titarev and E. F. Toro.Analysis of ADER and ADER-WAFschemes. IMA Journal of Numer-ical Analysis, 27(3):616–630, July

2007. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/27/3/616; http://imajna.oxfordjournals.org/cgi/reprint/27/3/616.

Titley-Peloquin:2014:GCB

[1666] David Titley-Peloquin, Jennifer Pes-tana, and Andrew J. Wathen. GMRESconvergence bounds that depend onthe right-hand-side vector. IMA Jour-nal of Numerical Analysis, 34(2):462–479, April 2014. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/34/2/462.full.pdf+html.

Tobiska:2015:RPE

[1667] L. Tobiska and R. Verfurth. Robust aposteriori error estimates for stabilizedfinite element methods. IMA Jour-nal of Numerical Analysis, 35(4):1652–1671, October 2015. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/35/4/1652.

Todd:1989:CPA

[1668] Michael J. Todd. On convergence prop-erties of algorithms for unconstrainedminimization. IMA Journal of Nu-merical Analysis, 9(3):435–441, 1989.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Todor:2009:NAE

[1669] Radu-Alexandru Todor. A new ap-proach to energy-based sparse finite-element spaces. IMA Journal of Nu-merical Analysis, 29(1):72–85, January

REFERENCES 260


Todor:2007:CRS

[1670] Radu Alexandru Todor and ChristophSchwab. Convergence rates forsparse chaos approximations of el-liptic problems with stochastic co-efficients. IMA Journal of Numer-ical Analysis, 27(2):232–261, April2007. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/27/2/232; http://imajna.oxfordjournals.org/cgi/reprint/27/2/232.

Toint:1988:GCC

[1671] Ph. L. Toint. Global convergenceof a class of trust-region methodsfor nonconvex minimization in Hilbertspace. IMA Journal of Numerical Anal-ysis, 8(2):231–252, 1988. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Torelli:1993:SCQ

[1672] L. Torelli and R. Vermiglio. On thestability of continuous quadrature rulesfor differential equations with severalconstant delays. IMA Journal of Nu-merical Analysis, 13(2):291–302, 1993.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Toro:1997:URP

[1673] E. F. Toro and S. J. Billett. Aunified Riemann-problem-based ex-tension of the Warming-Beam andLax–Wendroff schemes. IMA Jour-nal of Numerical Analysis, 17(1):61–102, January 1997. CODEN IJ-

NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_17/Issue_01/170061.sgm.abs.html.

Toro:2000:CTS

[1674] E. F. Toro and S. J. Billett. Cen-tred TVD schemes for hyperbolicconservation laws. IMA Journalof Numerical Analysis, 20(1):47–79,January 2000. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_20/Issue_01/200047.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_20/Issue_01/pdf/200047.pdf.

Torrilhon:2006:SCK

[1675] Manuel Torrilhon and Kun Xu. Sta-bility and consistency of kinetic up-winding for advection–diffusion equa-tions. IMA Journal of Numer-ical Analysis, 26(4):686–722, Oc-tober 2006. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/26/4/686; http://imajna.oxfordjournals.org/cgi/reprint/26/4/686.

Toselli:2006:DPF

[1676] Andrea Toselli. Dual-primal FETI al-gorithms for edge finite-element ap-proximations in 3D. IMA Journalof Numerical Analysis, 26(1):96–130,January 2006. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imanum.oxfordjournals.org/cgi/content/abstract/26/1/96; http://imanum.

REFERENCES 261


Toselli:2004:DDP

[1677] Journal Andrea Toselli and XavierVasseur. Domain decomposition pre-conditioners of Neumann–Neumanntype for hp approximations on bound-ary layer meshes in three dimen-sions. IMA Journal of Numer-ical Analysis, 24(1):123–156, Jan-uary 2004. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_24/Issue_01/240123.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_24/Issue_01/pdf/240123.pdf.

Tourigny:1990:PAN

[1678] Yves Tourigny. Product approxima-tion for nonlinear Klein–Gordon equa-tions. IMA Journal of Numerical Anal-ysis, 10(3):449–462, 1990. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Tourigny:1991:OET

[1679] Yves Tourigny. Optimal H1 estimatesfor two time-discrete Galerkin approx-imations of a nonlinear Schrodingerequation. IMA Journal of Numer-ical Analysis, 11(4):509–523, 1991.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Townsend:2016:FCG

[1680] Alex Townsend, Thomas Trogdon, andSheehan Olver. Fast computation ofGauss quadrature nodes and weightson the whole real line. IMA Jour-nal of Numerical Analysis, 36(1):337–358, January 2016. CODEN IJNADH.


Trefethen:2010:HTQ

[1681] Lloyd N. Trefethen. Householder tri-angularization of a quasimatrix. IMAJournal of Numerical Analysis, 30(4):887–897, October 2010. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://imajna.oxfordjournals.org/content/30/4/887.full.pdf+html.

Trogdon:2016:RHA

[1682] Thomas Trogdon and Sheehan Olver.A Riemann–Hilbert approach to Ja-cobi operators and Gaussian quadra-ture. IMA Journal of Numer-ical Analysis, 36(1):174–196, Jan-uary 2016. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/36/1/174.

Tsao:1993:NCD

[1683] Nai Kuan Tsao and Tse-Chien Sun.On the numerical computation of thederivatives of a B-spline series. IMAJournal of Numerical Analysis, 13(3):343–364, 1993. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic).

Tuomela:2006:NSI

[1684] Jukka Tuomela, Teijo Arponen, andVillesamuli Normi. On the numer-ical solution of involutive ordinarydifferential systems: enhanced lin-ear algebra. IMA Journal of Nu-merical Analysis, 26(4):811–846, Oc-tober 2006. CODEN IJNADH.

REFERENCES 262


Tupper:2005:TPM

[1685] P. F. Tupper. A test prob-lem for molecular dynamics inte-grators. IMA Journal of Numer-ical Analysis, 25(2):286–309, April2005. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).URL http://imanum.oupjournals.org/cgi/content/abstract/25/2/286;http://imanum.oupjournals.org/cgi/reprint/25/2/286.

Turner:1982:DLS

[1686] Peter R. Turner. The distributionof leading significant digits. IMAJournal of Numerical Analysis, 2(4):407–412, October 1982. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Turner:1984:FRD

[1687] Peter R. Turner. Further revelationson l.s.d. IMA Journal of Numeri-cal Analysis, 4(2):225–231, April 1984.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Uschmajew:2020:CPQ

[1688] Andre Uschmajew and Bart Vanderey-cken. On critical points of quadraticlow-rank matrix optimization prob-lems. IMA Journal of Numerical Anal-ysis, 40(4):2626–2651, October 2020.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic). URL

http://academic.oup.com/imajna/article/40/4/2626/5743529.

Valvi:1987:AID

[1689] F. N. Valvi and V. S. Geroyannis. An-alytic inverses and determinants for aclass of matrices. IMA Journal of Nu-merical Analysis, 7(1):123–128, 1987.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

VanBeeumen:2015:LLH

[1690] Roel Van Beeumen, Wim Michiels,and Karl Meerbergen. Linearizationof Lagrange and Hermite interpolat-ing matrix polynomials. IMA Jour-nal of Numerical Analysis, 35(2):909–930, April 2015. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/35/2/909.

VanDenHeuvel:2001:URC

[1691] E. G. Van Den Heuvel. Using re-solvent conditions to obtain new sta-bility results for θ-methods for de-lay differential equations. IMA Jour-nal of Numerical Analysis, 21(1):421–438, January 2001. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_01/210421abs.pdf; http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_01/pdf/210421.pdf.

vanderHouwen:1982:SCM

[1692] P. J. van der Houwen and B. P. Som-meijer. A special class of multi-step Runge–Kutta methods with ex-tended real stability interval. IMAJournal of Numerical Analysis, 2(2):

REFERENCES 263

183–209, April 1982. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

vanderHouwen:1983:PCM

[1693] P. J. van der Houwen and B. P. Som-meijer. Predictor-corrector methodswith improved absolute stability re-gions. IMA Journal of Numerical Anal-ysis, 3(4):417–437, 1983. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

vanderHouwen:1984:LMM

[1694] P. J. van der Houwen and B. P.Sommeijer. Linear multistep meth-ods with reduced truncation error forperiodic initial value problems. IMAJournal of Numerical Analysis, 4(4):479–489, October 1984. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

vanderHouwen:1987:PCM

[1695] P. J. van der Houwen and B. P. Som-meijer. Predictor-corrector methodsfor periodic second-order initial-valueproblems. IMA Journal of NumericalAnalysis, 7(4):407–422, 1987. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic).

vanderHouwen:1990:ISP

[1696] P. J. van der Houwen and B. P. Som-meijer. Improving the stability ofpredictor-corrector methods by residuesmoothing. IMA Journal of Nu-merical Analysis, 10(3):361–378, 1990.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

vanderHouwen:1986:SPC

[1697] P. J. van der Houwen, B. P. Sommeijer,and Christopher T. H. Baker. On thestability of predictor-corrector meth-ods for parabolic equations with de-lay. IMA Journal of Numerical Anal-ysis, 6(1):1–23, 1986. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

vanderHouwen:1981:CSA

[1698] P. J. van der Houwen, P. H. M. Wolken-felt, and C. T. H. Baker. Convergenceand stability analysis for modifiedRunge–Kutta methods in the numeri-cal treatment of second-kind Volterraintegral equations. IMA Journal of Nu-merical Analysis, 1(3):303–328, 1981.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

VanDeun:2006:QFB

[1699] J. Van Deun and A. Bultheel. Aquadrature formula based on Cheby-shev rational functions. IMA Jour-nal of Numerical Analysis, 26(4):641–656, October 2006. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/26/4/641; http://imajna.oxfordjournals.org/cgi/reprint/26/4/641.

vanDorsselaer:1994:ECS

[1700] J. L. M. van Dorsselaer and M. N. Spi-jker. The error committed by stoppingthe Newton iteration in the numeri-cal solution of stiff initial value prob-lems. IMA Journal of Numerical Anal-ysis, 14(2):183–209, 1994. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

REFERENCES 264

vanDorsselaer:1999:IMP

[1701] Jos L. M. van Dorsselaer and Chris-tian Lubich. Inertial manifolds ofparabolic differential equations un-der higher-order discretizations. IMAJournal of Numerical Analysis, 19(3):455–471, July 1999. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_19/Issue_03/190455.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_19/Issue_03/pdf/190455.pdf.

Vandereycken:2013:RGC

[1702] Bart Vandereycken, P.-A. Absil, andStefan Vandewalle. A Riemannian ge-ometry with complete geodesics forthe set of positive semidefinite ma-trices of fixed rank. IMA Jour-nal of Numerical Analysis, 33(2):481–514, April 2013. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/33/2/481.full.pdf+html.

Vannieuwenhoven:2015:RAT

[1703] Nick Vannieuwenhoven, Raf Vande-bril, and Karl Meerbergen. A ran-domized algorithm for testing nonsin-gularity of structured matrices withan application to asserting nondefec-tivity of Segre varieties. IMA Jour-nal of Numerical Analysis, 35(1):289–324, January 2015. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/35/1/289.

Varah:1993:EPV

[1704] J. M. Varah. Errors and perturbationsin Vandermonde systems. IMA Jour-nal of Numerical Analysis, 13(1):1–12,1993. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Vasconcelos:1998:PIM

[1705] Paulo B. Vasconcelos and Filomena D.d’Almeida. Preconditioned iterativemethods for coupled discretizationsof fluid flow problems. IMA Jour-nal of Numerical Analysis, 18(3):385–397, July 1998. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_18/Issue_03/180385.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_18/Issue_03/pdf/180385.pdf.

Veeser:2012:PCF

[1706] Andreas Veeser and Rudiger Verfurth.Poincare constants for finite ele-ment stars. IMA Journal of Nu-merical Analysis, 32(1):30–47, Jan-uary 2012. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/32/1/30.full.pdf+html.

Vejchodsky:2006:GLC

[1707] Tomas Vejchodsky. Guaranteedand locally computable a posteri-ori error estimate. IMA Journalof Numerical Analysis, 26(3):525–540, July 2006. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://comjnl.oxfordjournals.org/cgi/content/abstract/26/3/525; http://comjnl.

REFERENCES 265


Verdi:1985:NAH

[1708] C. Verdi and A. Visintin. Numeri-cal approximation of hysteresis prob-lems. IMA Journal of Numerical Anal-ysis, 5(4):447–463, 1985. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Verfurth:1984:CCG

[1709] R. Verfurth. A combined conju-gate gradient-multigrid algorithm forthe numerical solution of the Stokesproblem. IMA Journal of NumericalAnalysis, 4(4):441–455, October 1984.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Vigo-Aguiar:2007:FSR

[1710] Jesus Vigo-Aguiar and Higinio Ramos.A family of A-stable Runge–Kutta col-location methods of higher order forinitial-value problems. IMA Jour-nal of Numerical Analysis, 27(4):798–817, October 2007. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/27/4/798; http://imajna.oxfordjournals.org/cgi/reprint/27/4/798.

Viscor:2013:RFD

[1711] Martin Viscor and Martin Stynes.A robust finite difference methodfor a singularly perturbed degener-ate parabolic problem II. IMA Jour-nal of Numerical Analysis, 33(2):460–480, April 2013. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.


Viswanath:2001:GEN

[1712] Divakar Viswanath. Global errorsof numerical ODE solvers and Lya-punov’s theory of stability. IMAJournal of Numerical Analysis, 21(1):387–406, January 2001. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_01/210387abs.pdf; http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_01/pdf/210387.pdf.

Voller:1985:IFD

[1713] V. R. Voller. Implicit finite-differencesolutions of the enthalpy formulation ofStefan problems. IMA Journal of Nu-merical Analysis, 5(2):201–214, 1985.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Vulanovic:2001:PMS

[1714] Relja Vulanovic. A priori meshes forsingularly perturbed quasilinear two-point boundary value problems. IMAJournal of Numerical Analysis, 21(1):349–366, January 2001. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_01/210349.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_01/pdf/210349.pdf.

Walloth:2020:RTP

[1715] Mirjam Walloth. Residual-type a pos-teriori error estimator for a quasi-static Signorini contact problem. IMAJournal of Numerical Analysis, 40(3):1937–1971, July 2020. CODEN

REFERENCES 266


Walz:1989:EBS

[1716] Guido Walz. Error bounds and stop-ping rules for extrapolation meth-ods. IMA Journal of Numerical Anal-ysis, 9(2):185–198, 1989. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Wang:2019:FAE

[1717] Bin Wang and Xinyuan Wu. Theformulation and analysis of energy-preserving schemes for solving high-dimensional nonlinear Klein–Gordonequations. IMA Journal of Numer-ical Analysis, 39(4):2016–2044, Octo-ber 2019. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://academic.oup.com/imajna/article/39/4/2016/5055152.

Wang:2011:DGM

[1718] Fei Wang, Weimin Han, and Xiao-liang Cheng. Discontinuous Galerkinmethods for solving the Signoriniproblem. IMA Journal of Numer-ical Analysis, 31(4):1754–1772, Oc-tober 2011. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/31/4/1754.full.pdf+html.

Wang:2020:VEM

[1719] Fei Wang and Huayi Wei. Virtual ele-ment methods for the obstacle problem.IMA Journal of Numerical Analysis, 40(1):708–728, January 2020. CODENIJNADH. ISSN 0272-4979 (print),


Wang:2017:FAC

[1720] Haiyong Wang and Daan Huybrechs.Fast and accurate computation ofChebyshev coefficients in the complexplane. IMA Journal of Numerical Anal-ysis, 37(3):1150–1174, July 1, 2017.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic). URLhttps://academic.oup.com/imajna/article/37/3/1150/2670030/Fast-and-accurate-computation-of-Chebyshev.

Wang:2011:AEF

[1721] Haiyong Wang and Shuhuang Xi-ang. Asymptotic expansion andFilon-type methods for a Volterraintegral equation with a highly os-cillatory kernel. IMA Journal ofNumerical Analysis, 31(2):469–490,April 2011. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/31/2/469.full.pdf+html.

Wang:1995:ELL

[1722] Hong Wang, Richard E. Ewing,and Thomas F. Russell. Eulerian–Lagrangian localized adjoint methodsfor convection-diffusion equations andtheir convergence analysis. IMA Jour-nal of Numerical Analysis, 15(3):405–459, 1995. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic).

Wang:2011:KTN

[1723] Jin-Hua Wang and Chong Li. Kan-torovich’s theorems for Newton’s

REFERENCES 267

method for mappings and optimizationproblems on Lie groups. IMA Jour-nal of Numerical Analysis, 31(1):322–347, January 2011. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/31/1/322.full.pdf+html.

Wang:2011:UEF

[1724] Kaixin Wang and Hong Wang. Uni-form estimates for a family ofEulerian–Lagrangian methods fortime-dependent convection–diffusionequations with degenerate diffu-sion. IMA Journal of Numeri-cal Analysis, 31(3):1006–1037, July2011. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://imajna.oxfordjournals.org/content/31/3/1006.full.pdf+html.

Wang:1998:CEB

[1725] S. Wang, I. H. Sloan, and D. W. Kelly.Computable error bounds for point-wise derivatives of a Neumann problem.IMA Journal of Numerical Analysis, 18(2):251–271, April 1998. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_18/Issue_02/180251.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_18/Issue_02/pdf/180251.pdf.

Wang:2004:NFF

[1726] Song Wang. A novel fitted fi-nite volume method for the Black–Scholes equation governing optionpricing. IMA Journal of Numeri-cal Analysis, 24(4):699–720, October2004. CODEN IJNADH. ISSN 0272-

4979 (print), 1464-3642 (electronic).URL http://imanum.oupjournals.org/cgi/content/abstract/24/4/699;http://imanum.oupjournals.org/


Wang:2017:SCR

[1727] Xiaojie Wang. Strong convergencerates of the linear implicit Eulermethod for the finite element dis-cretization of SPDEs with additivenoise. IMA Journal of NumericalAnalysis, 37(2):965–984, April 2017.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic). URLhttps://academic.oup.com/imajna/article/37/2/965/2669957/Strong-convergence-rates-of-the-linear-implicit.

Wang:2007:BBP

[1728] Xiaoqun Wang and Ian H. Sloan.Brownian bridge and principal compo-nent analysis: towards removing thecurse of dimensionality. IMA Jour-nal of Numerical Analysis, 27(4):631–654, October 2007. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/27/4/631; http://imajna.oxfordjournals.org/cgi/reprint/27/4/631.

Wang:2000:CNM

[1729] Xinghua Wang. Convergence ofNewton’s method and uniqueness ofthe solution of equations in Ba-nach space. IMA Journal of Nu-merical Analysis, 20(1):123–134, Jan-uary 2000. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://www3.

REFERENCES 268


Wang:1996:CPA

[1730] Xinmin Wang. Convergence of par-allel AOR and GAOR methods ap-plied to H-matrices. IMA Jour-nal of Numerical Analysis, 16(4):485–499, October 1996. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_16/Issue_04/160485.sgm.abs.html.

Wang:2018:EIB

[1731] Zhengyu Wang and Xiaojun Chen.An exponential integrator-based dis-continuous Galerkin method for lin-ear complementarity systems. IMAJournal of Numerical Analysis, 38(4):2145–2165, October 16, 2018. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/38/4/2145/4554435.

Wang:2011:CEB

[1732] Zhengyu Wang and Ya xiang Yuan.Componentwise error bounds for linearcomplementarity problems. IMA Jour-nal of Numerical Analysis, 31(1):348–357, January 2011. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/31/1/348.full.pdf+html.

Wang:2015:GLA

[1733] Zhong-Qing Wang and Xin-Min Xi-ang. Generalized Laguerre approxi-mations and spectral method for the

Camassa–Holm equation. IMA Jour-nal of Numerical Analysis, 35(3):1456–1482, July 2015. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/35/3/1456.

Wathen:1987:REB

[1734] A. J. Wathen. Realistic eigenvaluebounds for the Galerkin mass ma-trix. IMA Journal of Numerical Anal-ysis, 7(4):449–457, 1987. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Wathen:1985:SMF

[1735] A. J. Wathen and M. J. Baines. On thestructure of the moving finite-elementequations. IMA Journal of NumericalAnalysis, 5(2):161–182, 1985. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic).

Watson:1981:ALA

[1736] G. A. Watson. An algorithm for linearL1 approximation of continuous func-tions. IMA Journal of Numerical Anal-ysis, 1(2):157–167, 1981. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Watson:1982:NML

[1737] G. A. Watson. Numerical methods forlinear orthogonal Lp approximation.IMA Journal of Numerical Analysis, 2(3):275–287, July 1982. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Watson:1984:DAR

[1738] G. A. Watson. Discrete l1 approx-imation by rational functions. IMA

REFERENCES 269

Journal of Numerical Analysis, 4(3):275–288, July 1984. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Watson:1988:MCS

[1739] G. A. Watson. A method for theChebyshev solution of an overdeter-mined system of complex linear equa-tions. IMA Journal of NumericalAnalysis, 8(4):461–471, October 1988.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Watson:1988:SPS

[1740] G. A. Watson. The smallest pertur-bation of a submatrix that lowers therank of the matrix. IMA Journal of Nu-merical Analysis, 8(3):295–303, 1988.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Watson:1990:CAD

[1741] G. A. Watson. Chebyshev approxi-mation to data by positive sums ofexponentials. IMA Journal of Nu-merical Analysis, 10(4):569–582, 1990.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Watson:1991:AOS

[1742] G. A. Watson. An algorithm for opti-mal l2 scaling of matrices. IMA Journalof Numerical Analysis, 11(4):481–492,1991. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Watson:2002:GNM

[1743] G. A. Watson. On the Gauss–Newton method for l1 orthogonaldistance regression. IMA Journalof Numerical Analysis, 22(3):345–357, July 2002. CODEN IJNADH.


Weber:2017:CRF

[1744] Franziska Weber. Convergence ratesof finite difference schemes for thelinear advection and wave equationwith rough coefficient. IMA Jour-nal of Numerical Analysis, 37(3):1586–1634, July 1, 2017. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL https://academic.oup.com/imajna/article/37/3/1586/2670057/Convergence-rates-of-finite-difference-schemes-for.

Weideman:2010:ICI

[1745] J. A. C. Weideman. Improved con-tour integral methods for parabolicPDEs. IMA Journal of Numer-ical Analysis, 30(1):334–350, Jan-uary 2010. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/30/1/334; http://imajna.oxfordjournals.org/cgi/reprint/30/1/334.

Weiner:1993:PSR

[1746] R. Weiner, M. Arnold, P. Rentrop,and K. Strehmel. Partitioning strate-gies in Runge–Kutta type methods.IMA Journal of Numerical Analysis,13(2):303–319, 1993. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

REFERENCES 270

Wendland:2001:LPR

[1747] Holger Wendland. Local polyno-mial reproduction and moving leastsquares approximation. IMA Jour-nal of Numerical Analysis, 21(1):285–300, January 2001. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_01/210285.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_01/pdf/210285.pdf.

Wesseling:1996:NSC

[1748] P. Wesseling. von Neumann sta-bility conditions for the convection-diffusion equation. IMA Journal ofNumerical Analysis, 16(4):583–598,October 1996. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_16/Issue_04/160583.sgm.abs.html.

Wihler:2004:LFD

[1749] Journal Thomas P. Wihler. Locking-free DGFEM for elasticity prob-lems in polygons. IMA Journalof Numerical Analysis, 24(1):45–75,January 2004. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_24/Issue_01/240045.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_24/Issue_01/pdf/240045.pdf.

Williams:1993:BCA

[1750] Jack Williams and Z. Kalogiratou. BestChebyshev approximation from fami-lies of ordinary differential equations.IMA Journal of Numerical Analysis,

13(3):383–395, 1993. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Wolkenfelt:1982:CRQ

[1751] P. H. M. Wolkenfelt. The con-struction of reducible quadrature rulesfor Volterra integral and integro-differential equations. IMA Journalof Numerical Analysis, 2(2):131–152,April 1982. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic).

Wright:1984:APC

[1752] K. Wright. Asymptotic properties ofcollocation matrix norms. 1. Globalpolynomial approximation. IMA Jour-nal of Numerical Analysis, 4(2):185–202, April 1984. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic).

Wright:1991:MSC

[1753] K. Wright, A. H.-A. Ahmed, andA. H. Seleman. Mesh selection incollocation for boundary value prob-lems. IMA Journal of Numerical Anal-ysis, 11(1):7–20, 1991. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Wright:1986:CPH

[1754] Stephen J. Wright. Convergence of pro-jected Hessian approximations in quasi-Newton methods for the nonlinear pro-gramming problem. IMA Journalof Numerical Analysis, 6(4):463–474,1986. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

REFERENCES 271

Wright:1990:CIA

[1755] Stephen J. Wright. Convergence of aninexact algorithm for composite non-smooth optimization. IMA Journalof Numerical Analysis, 10(3):299–321,1990. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Wright:2002:PRM

[1756] Thomas G. Wright and Lloyd N.Trefethen. Pseudospectra of rect-angular matrices. IMA Journal ofNumerical Analysis, 22(4):501–519,October 2002. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_22/Issue_04/220501.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_22/Issue_04/pdf/220501.pdf.

Wu:2016:FMR

[1757] Bin Wu and Qinghui Zhang. Fastmultiscale regularization methodsfor high-order numerical differenti-ation. IMA Journal of Numeri-cal Analysis, 36(3):1432–1451, July2016. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://imajna.oxfordjournals.org/content/36/3/1432.

Wu:2018:NAA

[1758] Gang Wu and Lu Zhang. New algo-rithms for approximating ϕ-functionsand their condition numbers forlarge sparse matrices. IMA Jour-nal of Numerical Analysis, 38(3):1185–1208, July 17, 2018. CODEN IJ-NADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://


Wu:2014:PAE

[1759] Haijun Wu. Pre-asymptotic erroranalysis of CIP–FEM and FEM forthe Helmholtz equation with highwave number. Part I: linear ver-sion. IMA Journal of Numeri-cal Analysis, 34(3):1266–1288, July2014. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://imajna.oxfordjournals.org/content/34/3/1266.

Wu:2009:EEA

[1760] Haijun Wu and Zhimin Zhang. En-hancing eigenvalue approximationby gradient recovery on adaptivemeshes. IMA Journal of Numer-ical Analysis, 29(4):1008–1022, Oc-tober 2009. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/29/4/1008; http://imajna.oxfordjournals.org/cgi/reprint/29/4/1008.

Wu:2005:SRS

[1761] Jiming Wu and Yong Lu. A su-perconvergence result for the second-order Newton–Cotes formula for cer-tain finite-part integrals. IMA Jour-nal of Numerical Analysis, 25(2):253–263, April 2005. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imanum.oupjournals.org/cgi/content/abstract/25/2/253; http://imanum.oupjournals.org/cgi/reprint/25/2/253.

REFERENCES 272

Wu:2015:CAS

[1762] Shu-Lin Wu. Convergence analy-sis of some second-order pararealalgorithms. IMA Journal of Nu-merical Analysis, 35(3):1315–1341,July 2015. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/35/3/1315.

Wu:2012:CAO

[1763] Shu-Lin Wu, Cheng-Ming Huang,and Ting-Zhu Huang. Conver-gence analysis of the overlappingSchwarz waveform relaxation algo-rithm for reaction-diffusion equa-tions with time delay. IMA Jour-nal of Numerical Analysis, 32(2):632–671, April 2012. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/32/2/632.full.pdf+html.

Wu:1994:SSH

[1764] W. Wu, A. Spence, and K. A.Cliffe. Steady-state/Hopf mode inter-action at a symmetry-breaking Takens–Bogdanov point. IMA Journal of Nu-merical Analysis, 14(1):137–160, 1994.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Wu:2012:CAC

[1765] Yongke Wu, Long Chen, Xiaop-ing Xie, and Jinchao Xu. Con-vergence analysis of V -cycle multi-grid methods for anisotropic ellip-tic equations. IMA Journal of Nu-merical Analysis, 32(4):1329–1347,October 2012. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642


Wu:1993:LEE

[1766] Zong Min Wu and Robert Schaback.Local error estimates for radial ba-sis function interpolation of scattereddata. IMA Journal of Numerical Anal-ysis, 13(1):13–27, 1993. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Wyns:2017:CAM

[1767] Maarten Wyns. Convergence anal-ysis of the Modified Craig–Sneydscheme for two-dimensional convection-diffusion equations with nonsmoothinitial data. IMA Journal of Nu-merical Analysis, 37(2):798–831, April2017. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL https://academic.oup.com/imajna/article/37/2/798/2669993/Convergence-analysis-of-the-Modified-Craig-Sneyd.

Xi:2020:MLM

[1768] Yingxia Xi, Xia Ji, and Shuo Zhang.A multi-level mixed element scheme ofthe two-dimensional Helmholtz trans-mission eigenvalue problem. IMA Jour-nal of Numerical Analysis, 40(1):686–707, January 2020. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://academic.oup.com/imajna/article/40/1/686/5144482.

Xia:2015:HDF

[1769] Bingxing Xia and Viet Ha Hoang.High-dimensional finite element methodfor multiscale linear elasticity. IMA

REFERENCES 273

Journal of Numerical Analysis, 35(3):1277–1314, July 2015. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://imajna.oxfordjournals.org/content/35/3/1277.

Xiang:2011:CCF

[1770] Shuhuang Xiang, Yeol Je Cho, Haiy-ong Wang, and Hermann Brunner.Clenshaw–Curtis–Filon-type methodsfor highly oscillatory Bessel transformsand applications. IMA Journal ofNumerical Analysis, 31(4):1281–1314,October 2011. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/31/4/1281.full.pdf+html. See erratum[1771].

Xiang:2013:ECC

[1771] Shuhuang Xiang, Yeol Je Cho, Haiy-ong Wang, and Hermann Brunner.Erratum to “Clenshaw–Curtis–Filon-type methods for highly oscillatoryBessel transforms and applications”(IMA Journal of Numerical Analy-sis (2011) 31:1281–1314). IMA Jour-nal of Numerical Analysis, 33(4):1480–1483, October 2013. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/33/4/1480.full.pdf+html. See [1770].

Xie:2010:SEP

[1772] Gang Xie and Thomas P.-Y. Yu.Smoothness equivalence propertiesof interpolatory Lie group subdi-vision schemes. IMA Journal ofNumerical Analysis, 30(3):731–750,July 2010. CODEN IJNADH.


Xie:2012:AOE

[1773] Gang Xie and Thomas P.-Y. Yu. Ap-proximation order equivalence prop-erties of manifold-valued data sub-division schemes. IMA Journal ofNumerical Analysis, 32(2):687–700,April 2012. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/32/2/687.full.pdf+html.

Xie:2014:TMM

[1774] Hehu Xie. A type of multilevelmethod for the Steklov eigenvalueproblem. IMA Journal of Numer-ical Analysis, 34(2):592–608, April2014. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://imajna.oxfordjournals.org/content/34/2/592.full.pdf+html.

Xie:2005:ISE

[1775] Ziqing Xie, Chuanmiao Chen, and YunXu. An improved search-extensionmethod for computing multiple solu-tions of semilinear PDEs. IMA Jour-nal of Numerical Analysis, 25(3):549–576, July 2005. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imanum.oxfordjournals.org/cgi/content/abstract/25/3/549; http://imanum.oxfordjournals.org/cgi/reprint/25/3/549.

REFERENCES 274

Xu:2011:UBS

[1776] Da Xu. Uniform l1 behaviour in asecond-order difference-type methodfor a linear Volterra equation withcompletely monotonic kernel I: sta-bility. IMA Journal of Numeri-cal Analysis, 31(3):1154–1180, July2011. CODEN IJNADH. ISSN0272-4979 (print), 1464-3642 (elec-tronic). URL http://imajna.oxfordjournals.org/content/31/3/1154.full.pdf+html.

Xu:2004:TLA

[1777] Journal Xuejun Xu, S. H. Lui, andT. Rahman. A two-level additiveSchwarz method for the Morley non-conforming element approximation ofa nonlinear biharmonic equation. IMAJournal of Numerical Analysis, 24(1):97–122, January 2004. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_24/Issue_01/240097.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_24/Issue_01/pdf/240097.pdf.

Xu:2016:ECR

[1778] Kuan Xu and Nicholas Hale. Ex-plicit construction of rectangular dif-ferentiation matrices. IMA Jour-nal of Numerical Analysis, 36(2):618–632, April 2016. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/36/2/618.

Xu:2011:CBA

[1779] X. Xu, W. Huang, R. D. Russell, andJ. F. Williams. Convergence of deBoor’s algorithm for the generation of

equidistributing meshes. IMA Jour-nal of Numerical Analysis, 31(2):580–596, April 2011. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/31/2/580.full.pdf+html.

Yalamov:1999:SPA

[1780] Plamen Y. Yalamov and Marcin Pa-przycki. Stability and performanceanalysis of a block elimination solverfor bordered linear systems. IMAJournal of Numerical Analysis, 19(3):335–348, July 1999. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_19/Issue_03/190335.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_19/Issue_03/pdf/190335.pdf.

Yan:1990:CCV

[1781] Yi Yan. Cosine change of variablefor Symm’s integral equation on openarcs. IMA Journal of Numerical Anal-ysis, 10(4):521–535, 1990. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Yan:2003:SPA

[1782] Yubin Yan. Smoothing propertiesand approximation of time deriva-tives for parabolic equations: con-stant time steps. IMA Journalof Numerical Analysis, 23(3):465–487, July 2003. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_23/Issue_03/drg002.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_23/Issue_03/pdf/drg002.pdf.

REFERENCES 275

Yang:1996:PIN

[1783] Daoqi Yang. A parallel iterativenonoverlapping domain decompositionprocedure for elliptic problems. IMAJournal of Numerical Analysis, 16(1):75–91, January 1996. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_16/Issue_01/160075.sgm.abs.html.

Yang:1999:IPM

[1784] Daoqi Yang. An iterative perturba-tion method for saddle point problems.IMA Journal of Numerical Analysis, 19(2):215–231, April 1999. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_19/Issue_02/190215.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_19/Issue_02/pdf/190215.pdf.

Yang:2011:QFV

[1785] Min Yang and Jiangguo Liu. Aquadratic finite volume elementmethod for parabolic problems onquadrilateral meshes. IMA Journalof Numerical Analysis, 31(3):1038–1061, July 2011. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/31/3/1038.full.pdf+html.

Yang:2013:QFV

[1786] Min Yang, Jiangguo Liu, and Yan-ping Lin. Quadratic finite-volumemethods for elliptic and parabolicproblems on quadrilateral meshes:optimal-order errors based on Bar-low points. IMA Journal of Nu-merical Analysis, 33(4):1342–1364,

October 2013. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/33/4/1342.full.pdf+html.

Yang:2016:UAH

[1787] Min Yang, Jiangguo Liu, and Qing-song Zou. Unified analysis ofhigher-order finite volume methodsfor parabolic problems on quadri-lateral meshes. IMA Journal ofNumerical Analysis, 36(2):872–896,April 2016. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/36/2/872.

Yi:2020:OEE

[1788] Wenfan Yi and Yongyong Cai. Op-timal error estimates of finite differ-ence time domain methods for theKlein–Gordon–Dirac system. IMAJournal of Numerical Analysis, 40(2):1266–1293, April 2020. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/40/2/1266/5228146.

Yoshikawa:2017:EES

[1789] Shuji Yoshikawa. An error es-timate for structure-preserving fi-nite difference scheme for the Falkmodel system of shape memory al-loys. IMA Journal of NumericalAnalysis, 37(1):477–504, January 1,2017. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).URL https://academic.oup.com/imajna/article/37/1/477/2669932/An-error-estimate-for-structure-preserving-finite.

REFERENCES 276

Ypma:1983:ERE

[1790] T. J. Ypma. The effect of round-ing errors on Newtonlike methods.IMA Journal of Numerical Analysis,3(1):109–118, 1983. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Yuan:1984:EOL

[1791] Y. Yuan. An example of only lin-ear convergence of trust region al-gorithms for nonsmooth optimization.IMA Journal of Numerical Analysis, 4(3):327–335, July 1984. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Yuan:1984:LOC

[1792] Y. Yuan. On the least Q-order of con-vergence of variable metric algorithms.IMA Journal of Numerical Analysis, 4(2):233–239, April 1984. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Yuan:1991:MBA

[1793] Ya Xiang Yuan. A modified BFGSalgorithm for unconstrained optimiza-tion. IMA Journal of Numerical Anal-ysis, 11(3):325–332, 1991. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Yun:2019:UCM

[1794] Xiaofan Yun, Chenxiang Qin, JinbiaoWu, and Hui Zheng. Uniform conver-gence of a multigrid method for ellipticequations with anisotropic coefficients.IMA Journal of Numerical Analysis, 39(2):1058–1084, April 2019. CODENIJNADH. ISSN 0272-4979 (print),


Zakerzadeh:2016:HOA

[1795] Hamed Zakerzadeh and Ulrik S. Fjord-holm. High-order accurate, fullydiscrete entropy stable schemes forscalar conservation laws. IMA Jour-nal of Numerical Analysis, 36(2):633–654, April 2016. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/36/2/633.

Zanna:2015:EVP

[1796] Antonella Zanna. Explicit volume-preserving splitting methods fordivergence-free ODEs by tensor-product basis decompositions. IMAJournal of Numerical Analysis, 35(1):89–106, January 2015. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://imajna.oxfordjournals.org/content/35/1/89.

Zhang:2004:SAR

[1797] Chengjian Zhang and Stefan Vande-walle. Stability analysis of Runge–Kutta methods for nonlinear Volterradelay-integro-differential equations.IMA Journal of Numerical Analysis, 24(2):193–214, April 2004. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_24/Issue_02/240193.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_24/Issue_02/pdf/240193.pdf.

REFERENCES 277

Zhang:2012:CAM

[1798] Lei-Hong Zhang and Moody T. Chu.Computing absolute maximum cor-relation. IMA Journal of Numer-ical Analysis, 32(1):163–184, Jan-uary 2012. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/32/1/163.full.pdf+html.

Zhang:2006:DMP

[1799] Li Zhang, Weijun Zhou, and Dong-HuiLi. A descent modified Polak–Ribiere–Polyak conjugate gradient method andits global convergence. IMA Jour-nal of Numerical Analysis, 26(4):629–640, October 2006. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/26/4/629; http://imajna.oxfordjournals.org/cgi/reprint/26/4/629.

Zhang:1996:CVM

[1800] Pingwen Zhang. Convergence of vor-tex methods in a bounded domainusing linear finite elements. IMAJournal of Numerical Analysis, 16(4):539–548, October 1996. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_16/Issue_04/160539.sgm.abs.html.

Zhang:2020:MCF

[1801] Shuo Zhang. Minimal consistent fi-nite element space for the biharmonicequation on quadrilateral grids. IMAJournal of Numerical Analysis, 40(2):1390–1406, April 2020. CODENIJNADH. ISSN 0272-4979 (print),


Zhang:1987:LCU

[1802] Yin Zhang and R. P. Tewarson. Least-change updates to Cholesky factorssubject to the nonlinear quasi-Newtoncondition. IMA Journal of NumericalAnalysis, 7(4):509–521, 1987. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic).

Zhang:1988:QNA

[1803] Yin Zhang and R. P. Tewarson. Quasi-Newton algorithms with updates fromthe preconvex part of Broyden’s family.IMA Journal of Numerical Analysis, 8(4):487–509, October 1988. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic).

Zhang:2001:SDR

[1804] Zhimin Zhang, Ningning Yan, andTong Sun. Superconvergent deriva-tive recovery for the intermediate fi-nite element family of the second type.IMA Journal of Numerical Analysis, 21(3):643–665, July 2001. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_03/210643.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_03/pdf/210643.pdf.

Zhao:2020:LOS

[1805] Lina Zhao and Eun-Jae Park. A lowest-order staggered DG method for thecoupled Stokes–Darcy problem. IMAJournal of Numerical Analysis, 40(4):2871–2897, October 2020. CODENIJNADH. ISSN 0272-4979 (print),

REFERENCES 278


Zhao:1993:UTO

[1806] Ning Zhao and Jia Zun Dai. Uniformlythird-order accurate TVNE interpola-tions. IMA Journal of Numerical Anal-ysis, 13(2):255–261, 1993. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Zheng:2015:CAM

[1807] Hui Zheng and Jinbiao Wu. Con-vergence analysis on multigrid meth-ods for elliptic problems with largejumps in coefficients. IMA Journal ofNumerical Analysis, 35(4):1888–1912,October 2015. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/35/4/1888.

Zhou:2005:CNS

[1808] Jiansong Zhou and Zhiping Li. Com-puting non-smooth minimizers with themesh transformation method. IMAJournal of Numerical Analysis, 25(3):458–472, July 2005. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imanum.oxfordjournals.org/cgi/content/abstract/25/3/458; http://imanum.oxfordjournals.org/cgi/reprint/25/3/458.

Zhu:2011:RPE

[1809] Liang Zhu and Dominik Schotzau. Arobust a posteriori error estimate for hpadaptive DG methods for convection–diffusion equations. IMA Journalof Numerical Analysis, 31(3):971–1005, July 2011. CODEN IJNADH.


Zietak:1983:PMS

[1810] K. Zietak. The properties of the min-imax solution of a nonlinear matrixequationXY = A. IMA Journal of Nu-merical Analysis, 3(2):229–244, 1983.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Zietak:1987:PSL

[1811] K. Zietak. Properties of the l1-solutionsof the linear matrix equation AX +Y B = C. IMA Journal of NumericalAnalysis, 7(2):223–233, 1987. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic).

Zietak:1989:PAM

[1812] K. Zietak. Properties of the approx-imations of a matrix which lower itsrank. IMA Journal of Numerical Anal-ysis, 9(4):545–554, 1989. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Zubik-Kowal:1997:MLP

[1813] Barbara Zubik-Kowal. The methodof lines for parabolic differential-functional equations. IMA Jour-nal of Numerical Analysis, 17(1):103–123, January 1997. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_17/Issue_01/170103.sgm.abs.html.

Zvan:2001:FVA

[1814] R. Zvan, P. A. Forsyth, and K. R.Vetzal. A finite volume approach

REFERENCES 279

for contingent claims valuation. IMAJournal of Numerical Analysis, 21(3):703–731, July 2001. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_03/210703.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_03/pdf/210703.pdf.

Documents

A Complete Bibliography of Publications in IMA Journal of ...netlib.sandia.gov/tex/bib/imajnumeranal.pdfA Complete Bibliography of Publications in IMA Journal of Numerical Analysis