Initiated by Y; Maday (University Paris IV), the theme of the first summer school was
the coupling of equations. The scientific direction of the school was done by the
research association "Couplage d'équation". The following years, other topics
have been developped : wavelets and parallel computing in 1997, error estimate and mesh
adaptation, domain decomposition, in 1998. In 1999, the school was about kinetic
schemes and the computational techniques in plasmas. The 2000 edition was
focused on environnement problems : combustion problems, nuclear wastes storage.
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
Some examples of applications are: porous
media, modeling of materials, composites, non linear media, random micro-structures,
numerical methods for homogenization,
propagation in random media, fluids with micro-structures
Numerical simulations may be either direct, or based on effective behaviors obtained by
modeling. For direct simulation of multi-scale problems, the design of efficient and
robust algorithms (with a linear complexity) is an important challenge. Also,
intermediate numerical methods which take advantage of the multi-scale structure
of the problem are attractive.