Multiscale Methods in Science and Engineering

Uppsala University, January 26-28, 2004

Invited speakers:
Leonid Berlyand, University Park
Weinan E, Princeton
Claude Le Bris, Marne la Vallée
Nils Svanstedt, Göteborg
Gabriel Wittum, Heidelberg

Organizers:
Björn Engquist, Per Lötstedt, Olof Runborg

Background

For many problems the existence of multiple length or time scales in the solution pose formidable computational challenges. Examples of such problems are turbulent flow, material science, flow through porous media, weather forecasting, many-body galaxy formation, high frequency wave propagation and large-scale molecular dynamic simulations. A common difficulty with these problems is that an attempt to represent all physical scales will lead to an enormous computational problem with long computation times and large memory requirements. On the other hand, if the discretization at a coarse level ignores the fine scale information then the solution will not be physically meaningful. The influence of the fine scales must be incorporated into the model.

The topics of this workshop cover analytical and numerical techniques for creating such coarse models, e.g. homogenization and wavelet based numerical techniques, as well as computational tools which use scale hierarchies for direct efficient algorithmic treatment of the problem, e.g. multigrid, multipole and heterogeneous multiscale methods.

There will be plenary talks and a number of contributed talks at the workshop. We regret that submission of abstracts is no longer possible.

The workshop was held in Uppsala on schedule with about 60 participants.

Sponsors

The Swedish Foundation for Strategic Research (SSF) supports the basic research program within which this workshop is organized. The research program is associated to the Parallel and Scientific Computing Institute (PSCI), a center of excellence supported by the Swedish Agency for Innovation Systems Vinnova to promote cooperation between Swedish universities and industry. PSCI is located at the Royal Institute of Technology (KTH)with activities also at Uppsala University and Chalmers University of Technology.