Hyperbolic Problems: Theory, Numerics, Applications

Eighth International Conference in Magdeburg, February/March 2000 Volume 1

  • Heinrich Freistühler
  • Gerald Warnecke
Conference proceedings

Part of the International Series of Numerical Mathematics book series (ISNM, volume 140)

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Ruben Airapetyan, Ingo Witt
    Pages 11-18
  3. Fabio Ancona, Andrea Marson
    Pages 19-28
  4. Fabio Ancona, Andrea Marson
    Pages 29-38
  5. S. Andreae, J. Ballmann, U. Specht
    Pages 39-48
  6. Denise Aregba-Driollet, Roberto Natalini, Shaoqiang Tang
    Pages 49-58
  7. Jörg D. Au, Daniel Reitebuch, Manuel Torrilhon, Wolf Weiss
    Pages 79-88
  8. Monika Auweter-Kurtz, Cristian A. Coclici, Jörg Heiermann, Wolfgang L. Wendland
    Pages 89-98
  9. Monika Auweter-Kurtz, Cristian Coclici, Jörg Heiermann, Claus-Dieter Munz, Christian Sleziona
    Pages 99-108
  10. Derek S. Bale, Christiane Helzel
    Pages 119-128
  11. Derek S. Bale, Randall J. LeVeque
    Pages 129-138

About these proceedings

Introduction

The Eighth International Conference on Hyperbolic Problems - Theory, Nu­ merics, Applications, was held in Magdeburg, Germany, from February 27 to March 3, 2000. It was attended by over 220 participants from many European countries as well as Brazil, Canada, China, Georgia, India, Israel, Japan, Taiwan, und the USA. There were 12 plenary lectures, 22 further invited talks, and around 150 con­ tributed talks in parallel sessions as well as posters. The speakers in the parallel sessions were invited to provide a poster in order to enhance the dissemination of information. Hyperbolic partial differential equations describe phenomena of material or wave transport in physics, biology and engineering, especially in the field of fluid mechanics. Despite considerable progress, the mathematical theory is still strug­ gling with fundamental open problems concerning systems of such equations in multiple space dimensions. For various applications the development of accurate and efficient numerical schemes for computation is of fundamental importance. Applications touched in these proceedings concern one-phase and multiphase fluid flow, phase transitions, shallow water dynamics, elasticity, extended ther­ modynamics, electromagnetism, classical and relativistic magnetohydrodynamics, cosmology. Contributions to the abstract theory of hyperbolic systems deal with viscous and relaxation approximations, front tracking and wellposedness, stability ofshock profiles and multi-shock patterns, traveling fronts for transport equations. Numerically oriented articles study finite difference, finite volume, and finite ele­ ment schemes, adaptive, multiresolution, and artificial dissipation methods.

Keywords

Numerical analysis elasticity theory fluid mechanics partial differential equations approximation calculus differential equation equation finite element method function hyperbolic partial differential equation Manifold Mathematica Maxwell's equations numerical analysis numerics partial differential equation variable wave equation

Editors and affiliations

  • Heinrich Freistühler
    • 1
  • Gerald Warnecke
    • 2
  1. 1.Max Planck Institute for Mathematics in the SciencesLeipzigGermany
  2. 2.Otto-von-Guericke-UniversityInstitute of Analysis and Numerical MathematicsMagdeburgGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-0348-8370-2
  • Copyright Information Birkhäuser Verlag 2001
  • Publisher Name Birkhäuser, Basel
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-0348-9537-8
  • Online ISBN 978-3-0348-8370-2
  • About this book