Workshop on Numerical Aspects of Nonlinear PDEs of Hyperbolic Type  Nonlinear partial differential equations (PDEs) of hyperbolic type are of fundamental importance in science and engineering, including fluid dynamics, acoustics, elastodynamics, geophysics, astrophysics, and many other disciplines. Closed form solutions are not available and numerical methods (finite difference, finite volume, finite element, etc.) have to be applied. The field of analysis and justification of numerical methods (stability, compactness and convergence, a priori or a posteriori error estimates, etc.), which often requires the use of sophisticated mathematics, has seen many advances in recent years. Besides providing a rigorous foundation, at least in the context of simplified model PDEs, the involved mathematical analysis tends to suggest design principles for constructing  stable and powerful computational techniques for complex problems arising in realistic applications, for which rigorous analysis is out of reach. The workshop brought together experts and junior researchers discussing new trends and activities in numerical analysis, algorithms and applications of hyperbolic and related PDEs, all of which were highly relevant to the CAS program.

Speakers:

  • Frédéric Coquel (Paris)
  • Bruno Despres (Paris)
  • Volker Elling (Michigan)
  • James Glimm (Stony Brook)
  • Espen Jakobsen (Trondheim)
  • Dietmar Kröner (Freiburg)
  • Peter A. Markowich (Cambridge)
  • Roberto Natalini (Rome)
  • Andreas Prohl (Tübingen)
  • Anders Szepessy (Stockholm)
  • Eitan Tadmor (Maryland)
  • Manuel Torrilhon (Zürich)
  • Gerald Warnecke (Magdeburg)

Organized by Helge Holden and Kenneth H. Karlsen, groupleaders of the CAS reserach project Nonlinear Partial Differential Equations