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Symposium 1: Mathematical issues in multiscale materials modeling


Weinan E, Princeton University, USA

Max Gunzburger, Florida State University, USA

Richard B Lehoucq, Sandia National Laboratories, USA

Mitchell Luskin, University of Minnesota, USA


Avoiding ad hoc physical models is a goal of multiscale materials modeling. Because many of the fundamental issues in multiscale modeling are poorly understood, ad-hoc modeling assumptions often form the basis for numerical algorithms. This symposium will focus on mathematical and physical issues in multiscale materials modeling. Contributions are sought in a number of topical areas including, but are not limited to, the following subjects:

  • Continuum limit of atomistic models with classical and quantum materials descriptions.
  • Formulation, implementation and analysis of quasicontinuum and related models with classical and quantum materials descriptions.
  • Finite temperature atomistic/continuum coupling methods, thermal effects, boundary conditions.
  • Statistical-mechanics-inspired models and stochastic dynamics of coarse grained systems.
  • Phase field approaches and related models.
  • Multiple scales aspects of continuum models – bridging scales in heterogeneous materials.

Contact Information of Symposium Organizers

Weinan E

Department of Mathematics
Princeton University
Princeton, NJ 08544, USA

Max Gunzburger

School of Computational Science
Florida State University
Tallahassee FL 32306-4120, USA

Richard B Lehoucq, Member of Technical Staff

Sandia National Laboratories
P.O. Box 5800, MS 1320
Albuquerque, NM 87185, USA
(505) 845-8929, FAX (505) 845-7442

Mitchell Luskin, Professor of Mathematics

School of Mathematics
206 Church St. SE
University of Minnesota
330 Vincent Hall
Minneapolis, MN 55455, USA
612-625-6565, FAX 612-626-2017