Hyperbolic Problems: Theory, Numerics, Applications

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

  • Heinrich Freistühler
  • Gerald Warnecke
Conference proceedings

Part of the ISNM International Series of Numerical Mathematics book series (ISNM, volume 141)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Christiane Helling, Rupert Klein, Marcus Lüttke, Erwin Sedlmayr
    Pages 515-524
  3. Karel Kozel, Michal Janda, Richard Liska
    Pages 563-572
  4. Shuichi Kawashima, Shinya Nishibata
    Pages 593-602
  5. Friedemann Kemm, Claus-Dieter Munz, Rudolf Schneider, Eric Sonnendrücker
    Pages 603-612
  6. Gunilla Kreiss, Mattias Liefvendahl
    Pages 613-621

About these proceedings

Introduction

Hyperbolic partial differential equations describe phenomena of material or wave transport in physics, biology and engineering, especially in the field of fluid mechanics. The mathematical theory of hyperbolic equations has recently made considerable progress. Accurate and efficient numerical schemes for computation have been and are being further developed.

This two-volume set of conference proceedings contains about 100 refereed and carefully selected papers. The books are intended for researchers and graduate students in mathematics, science and engineering interested in the most recent results in theory and practice of hyperbolic problems.

Applications touched in these proceedings concern one-phase and multiphase fluid flow, phase transitions, shallow water dynamics, elasticity, extended thermodynamics, 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 of shock profiles and multi-shock patterns, traveling fronts for transport equations. Numerically oriented articles study finite difference, finite volume, and finite element schemes, adaptive, multiresolution, and artificial dissipation methods.

Keywords

Dissipation Magnetohydrodynamics Profil fluid mechanics hyperbolic equation hyperbolic partial differential equation numerics

Editors and affiliations

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

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-0348-8372-6
  • Copyright Information Birkhäuser Verlag 2001
  • Publisher Name Birkhäuser, Basel
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-0348-9538-5
  • Online ISBN 978-3-0348-8372-6
  • About this book