08/10/1997 10/10/1997

Multiscale II: analysis and efficient simulation of multiscale problems.

The goal of the workshop is to stimulate an exchange of ideas between analysts and computational experts, and to focus on new approaches towards a better understanding of the intrinsic difficulties in problems with multiple scales in space and time.
In particular the workshop will focus on the following topics:

  1. Scientific problems with multiple scales in space and time: Phase transitions, molecular design/vibrations, microstructures.
  2. New analytical tools: H-measures, semiclassical measures, two-scale Young measures, averaging techniques.
  3. New computational methods: Essential molecular dynamics, quantum-classical coupling, symplectic/symmetric discretization schemes.
  4. Interaction of analytical and computational approaches.

The workshop is organized within the DFG-Schwerpunktprogramm DANSE.


09:10 - 10:00 Luc Tartar
H-measures and their variants
10:10 - 11:00 Gilles Francfort
Energy density for the wave equation on thin domains
11:40 - 12:30 Giovanni Alberti
A new approach to variational problems with multiple scales
14:00 - 14:50 M. Dellnitz
The approximation of complicated dynamical behavior
15:00 - 15:50 P. Deuflhard (ZIB)
Essential molecular dynamics: Progress in a new algorithmic approach
09:00 - 09:50 F. Bornemann (ZIB)
Weak convergence methods and adiabatic results in classical and quantum mechanics
10:00 - 10:50 Christof Schütte (ZIB)
Multiple scales and nonadiabatic effects in molecular quantum dynamics
11:30 - 12:20 S. Reich (ZIB)
Adiabatic invariants and their preservation under symplectic discretizations
14:00 - 14:50 Carsten Carstensen
Numerical analysis of the (relaxed) double well problem
09:00 - 09:50 G. Schneider
The amplitude equation for degenerate subcritical bifurcations in pattern formating systems
10:00 - 10:50 Alexander Mielke
Flow properties for Young-measure solutions of semilinear hyperbolic systems
11:30 - 13:00

Scientific Organizers

P. Deuflhard

P. Dolzmann

Stefan Müller