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Hyperbolic Problems: Theory, Numerics, Applications

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

  • Conference proceedings
  • © 2001

Overview

Editors:
  1. Heinrich Freistühler

    1. Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany

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    You can also search for this editor in PubMed   Google Scholar

  2. Gerald Warnecke

    1. Institute of Analysis and Numerical Mathematics, Otto-von-Guericke-University, Magdeburg, Germany

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

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

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Table of contents (47 papers)

  1. Front Matter

    Pages i-xii
    Download chapter PDF

  2. Convergence of a Staggered Lax-Friedrichs Scheme on Unstructured 2D-grids

    • Bernard Haasdonk
    Pages 475-483

  3. Viscous and Relaxation Approximations to Heteroclinic Traveling Waves of Conservation Laws with Source Terms

    • Jörg Härterich
    Pages 485-493

  4. Adaptive Fe Methods for Conservation Equations

    • Ralf Hartmann
    Pages 495-503

  5. The Entropy Rate Admissibility Criterion for a Phase Transition Problem

    • Harumi Hattori
    Pages 505-513

  6. Dust Formation in Turbulent Media

    • Christiane Helling, Rupert Klein, Marcus Lüttke, Erwin Sedlmayr
    Pages 515-524

  7. Existence of a Weak Solution for a Quasilinear Wave Equation with Boundary Condition

    • Alain Hertzog, Antoine Mondoloni
    Pages 525-534

  8. Asymptotic Behavior of Entropy Weak Solution for Hyperbolic System with Damping

    • Ling Hsiao, Hailiang Li
    Pages 535-542

  9. On the Existence of Semidiscrete Shock Profiles

    • Pierre Huot
    Pages 543-551

  10. On the Convergence Rate of Operator Splitting for Weakly Coupled Systems of Hamilton-Jacobi Equations

    • E. R. Jakobsen, K. H. Karlsen, N. H. Risebro
    Pages 553-562

  11. Composite Schemes on Triangular Meshes

    • Karel Kozel, Michal Janda, Richard Liska
    Pages 563-572

  12. Asymptotic-Preserving (Ap) Schemes for Multiscale Kinetic Equations: a Unified Approach

    • Shi Jin, Lorenzo Pareschi
    Pages 573-582

  13. A Kinetic Approach to Hyperbolic Systems And the Role of Higher Order Entropies

    • Michael Junk
    Pages 583-592

  14. Stationary Waves for the Discrete Boltzmann Equations in the Half Space

    • Shuichi Kawashima, Shinya Nishibata
    Pages 593-602

  15. Divergence Corrections in the Numerical Sim-ulation of Electromagnetic Wave Propagation

    • Friedemann Kemm, Claus-Dieter Munz, Rudolf Schneider, Eric Sonnendrücker
    Pages 603-612

  16. Numerical Investigation of Examples of Unstable Viscous Shock Waves

    • Gunilla Kreiss, Mattias Liefvendahl
    Pages 613-621

  17. Proving Existence of Nonlinear Differential Equations Using Numerical Approximations

    • Gunilla Kreiss, Malin Siklosi
    Pages 623-631

  18. Asymptotic Behavior of Hyperbolic Boundary Value Problems with Relaxation Term

    • Wendy Kress
    Pages 633-642

  19. A Wave Propagation Algorithm for the Solution of PDEs on the Surface of a Sphere

    • R. J. LeVeque, J. A. Rossmanith
    Pages 643-652

  20. On the L 1 Stability of Multi-shock Solutions to the Riemann Problem

    • Marta Lewicka
    Pages 653-661
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Keywords

About this book

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.

Editors and Affiliations

  • Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany

    Heinrich Freistühler

  • Institute of Analysis and Numerical Mathematics, Otto-von-Guericke-University, Magdeburg, Germany

    Gerald Warnecke

Bibliographic Information

  • Book Title: Hyperbolic Problems: Theory, Numerics, Applications

  • Book Subtitle: Eighth International Conference in Magdeburg, February/March 2000 Volume II

  • Editors: Heinrich Freistühler, Gerald Warnecke

  • Series Title: International Series of Numerical Mathematics

  • DOI: https://doi.org/10.1007/978-3-0348-8372-6

  • Publisher: Birkhäuser Basel

  • eBook Packages: Springer Book Archive

  • Copyright Information: Birkhäuser Verlag 2001

  • Hardcover ISBN: 978-3-7643-6710-7Published: 01 January 2002

  • Softcover ISBN: 978-3-0348-9538-5Published: 23 October 2012

  • eBook ISBN: 978-3-0348-8372-6Published: 06 December 2012

  • Series ISSN: 0373-3149

  • Series E-ISSN: 2296-6072

  • Edition Number: 1

  • Number of Pages: XII, 472

  • Topics: Numerical Analysis, Partial Differential Equations

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