Overview of Graduate CSE Education in Europe Lennart Edsberg Numerical Analysis Department CSC,KTH,Stockholm Sweden

Contents Example of a CSE program development: KTH 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 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 excellent clusters of universities offering Master and PhD programs. Started in Less than 10% of the applications get through. Attractive since scholarships are given to those students who are 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