High-Resolution Mathematical and Numerical Analysis of Involution-Constrained PDEs

  • Bruno Després

    Université Pierre et Marie Curie, Paris, France
  • Michael Dumbser

    Università degli Studi di Trento, Italy
  • James R. Kamm

    Sandia National Laboratories, Albuquerque, USA
  • Manuel Torrilhon

    RWTH Aachen, Germany

Abstract

Partial differential equations constrained by involutions provide the highest fidelity mathematical models for a large number of complex physical systems of fundamental interest in critical scientific and technological disciplines. The applications described by these models include electromagnetics, continuum dynamics of solid media, and general relativity. This workshop brought together pure and applied mathematicians to discuss current research that cuts across these various disciplines’ boundaries. The presented material illuminated fundamental issues as well as evolving theoretical and algorithmic approaches for PDEs with involutions. The scope of the material covered was broad, and the discussions conducted during the workshop were lively and far-reaching.

Cite this article

Bruno Després, Michael Dumbser, James R. Kamm, Manuel Torrilhon, High-Resolution Mathematical and Numerical Analysis of Involution-Constrained PDEs. Oberwolfach Rep. 10 (2013), no. 3, pp. 2691–2747

DOI 10.4171/OWR/2013/47