Assuming that this is possible, it is frequently difficult to analyze the mathematical properties of the scheme, and the implementation of the method on a computer is mandatory in order to guess its properties. Before the numerical solution, it is necessary to understand well the physics of the problem of interest. In many cases, this understanding will be a guideline to numerics. Most of the time, modeling is carried out by people with a good background in physics, but not necessarily in numerics. But the numerics are complex by themselves.
Seminars are regularly organized, and visitors are invited for shorter periods.
This year, the topics are oriented toward multi-scale problems but other subjects will be considered as well. Multi-scale problems in time or space are an important challenge in modeling and scientific computing. Numerical simulations may be either direct, or based on effective behaviors obtained by modeling. Also, intermediate numerical methods which take advantage of the multi-scale structure of the problem are attractive. They are inspired from Christophe Prud'homme previous Web pages.