Overview of Graduate CSE Education in Europe

Lennart EdsbergNumerical Analysis Department

CSC,KTH,StockholmSweden

Contents• Example of a CSE program

development: KTH 1990-2009• Increasing diversity of CSE

programs in Europe: specializations

• Where in Europe?• Erasmus Mundus• Vision of future graduate CSE

programs• Double degree program

CSE is well-established as a discipline in its own right with research centers, departments, and education programs around the world. We are now witnessing how CSE forms a new platform for great scientific progress.

Example of a CSE program development SciComp Master Program at KTH, Sweden

1990 Specialization within the Engineering Physics Program initiated by prof Germund Dahlquist with courses taken from existing curriculum

1997 International Master Program 1.5 years initiated by prof Björn Engquist with courses specially designed for SciComp

2006 Bologna process: Program extended to 2 years 2006 First attempt to make an Erasmus Mundus program together

with Delft, Berlin and Erlangen 2007 Specializations within the Program introduced: CFD and

Biocomputing 2008 Double degree Program with University of Erlangen: one year

at each university gives double degrees 2008 Plans to start a Bachelor program in SciComp at KTH

Important with a research environment: At KTH we have PDC, KCSE and CIAM

CSE education: how and when did it start in Europe?

• Around 1970 and later research institutes in applied and industrial mathematics were founded. Education in what was to become CSE started at a few technical universities.

• In 1980 Univ of Kaiserslautern started a Diploma program in Techno-Mathematics

• In 1986 ECMI – European consortium for mathematics in industry was established with a.o. education in industrial mathematics at Master level.

• In 1997 three CSE International Master programs started in Europe: 1) Erlangen/Nuremberg, 2) ETH, 3) KTH• Around 2005 the Bologna system 3+2+3 started at most universities

in EU. CSE Master programs become more and more frequent.

Increasing diversity and specializations in the award of degrees

General (non-specialized) Master degree in SciComp CompSci CompSciEngn CompEngn CompEngnSci • Also narrow specializations in CSE such as Master degree in Comp mechanics Visualization Comp chemistry Image processing Comp mathematics High performance computing Comp physics Comp biology & bioinformatics

or nearby names such as

Mathematical modeling, Industrial mathematics, Applied and computational mathematics, etc

Universities in Europe offering Master degree in CSE and/or Comp X

• Austria 3• Denmark 1• Finland 1• Germany 16• France 4• Irelend 1• Italy 3

• Netherlands 5• Norway 2• Poland 1• Spain 1• Sweden 4• Switzerland 2• United Kingdom 7

There is a listing of universities in the US giving undergraduate and/or graduate CSE-type programs: in session MS16 by Charles Swansson.

Erasmus Mundus

A European educational organization for creating excellentclusters of universities offering Master and PhD programs.Started in 2004. Less than 10% of the applications get through.Attractive since scholarships are given to those students whoare accepted.

Today two programs (of about 100) are of CSE-type:

Industrial Mathematics: Eindhofen, Kaiserslautern, Linz

Computational Mechanics: Barcelona, Swansea, Stuttgart, Nantes

Future development of CSE graduate education in Europe

• Global competition from US, East Asia and other upcoming countries

• The CSE education should be based on expertize involving both bredth and depth, e.g. by combining skills from several universities and/or research centra:

- educational networks - double degree programs - Erasmus Mundus cluster programs• Recognize CSE as an independent discipline and organize departments where competence from all CSE fields are gathered to a group with enough ”critical mass”

FAU Erlangen-Nürnberg KTH Stockholm

Core courses (taught at both universities) 15 ECTS Numerical Analysis

15 ECTS Applied Mathematics 15 ECTS Scientific Computing

Workshop – in depth advising the students to prepare for transfer

15 ECTS preparatory courses for specialization (partly given by guest professor from KTH)

15 ECTS preparatory courses for specialization (partly given by guest professor from FAU)

Transfer

Specialization in 15 ECTS Visualization and Image Processing OR 15 ECTS High Performance Computing AND 15 ECTS Electives

Specialization in 15 ECTS Bio-modeling OR 15 ECTS CFD AND 15 ECTS Electives

30 ECTS Master Thesis

Double-Degree Master Program

THE END Thanks for listening

Typical(?) curriculum for a CSE Master Program• Prerequisites: BSci, BEngn (or similar) with at least 180 ECTS:

Mathematics (solid background), Computer science,

Numerical analysis, courses in 1-2 CSE applications

• Core courses: Numerical analysis, advanced level

Numerical algebra

ODEs, PDEs with FD, FEM, FV

Numerical optimization

Applied mathematics

Mathematical models and modeling

Analytical tools, e.g. asymptotic expansions, singular

perturbations etc

Computer science for scientific computing

HPC, visualization, parallel algorithms and computing

• Specializations: Comp X, where X= fluid dynamics, chemistry, molecular dynamics, electromagnetics, biology, material science, etc

• Master Thesis