Address: Box 118, SE-221 00 Lund, Sweden |
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Research
Numerical analysis of differential equations, covering all aspects from theoretical analysis to applied problems and software construction. The research is in part financed by grants from VR. Special research topics include
- Adaptivity for ODEs, using control theory and digital signal processing
- Adaptivity in geometric integration, using splitting methods
- Adaptive grid generation in 2-point BVPs
- Stability analysis of nonlinear discretizations
- Discretization error analysis
- Dynamics of iterative methods
- Computational problems in physiology, especially cardiomodelling
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Software downloads (To appear)
I will soon
publish some Matlab software, based on my research, implementing various
control-based adaptivity algorithms that you can use to control your favorite
solver
- Step size controllers for IVPs in ODEs – nonstiff and stiff
- Simultaneous control of step size and order for IVPs in ODEs
- Adaptive grid generator and controller for 2p BVPs
- Brief documentation and instructions on use
Until separate pieces of software are available, you can read a brief research account with article downloads.
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- FMNN10 and NUMN12 Numerical methods for differential equations (taught in English)
- FMN050 Numerical methods (in Swedishl)
- FMNN15 Multigrid methods (taught in English)
My teaching objectives are to introduce the student to the theoretical foundation of the numerical methods used in scientific computing and to bring those methods to practical use, by letting the student build a basic experience with the necessary software, the interpretation of its output, as well as the basic problems in applied mathematics.
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Short CV
Born 1952, Stockholm, Sweden
Present position
Professor of Numerical Mathematics, Lund University, since 1990
Education
- PhD in Numerical Analysis (Royal Inst. of Tech. KTH, Stockholm 1982)
- MSc in Applied Mathematics (School of Physics, KTH, Stockholm 1976)
Present activities outside Lund University
- Member of the board, Comsol AB, Stockholm
- Associate editor of BIT Numerical Mathematics
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Publications
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