Skip to main content
SpringerLink
Log in
Birkhäuser
Book cover

Hyperbolic Problems: Theory, Numerics, Applications

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

  • Conference proceedings
  • © 2001

Overview

Editors:
  1. Heinrich Freistühler

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

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  2. Gerald Warnecke

    1. Otto-von-Guericke-University, Institute of Analysis and Numerical Mathematics, 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 140)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (49 papers)

  1. Convergence of the Godunov Scheme for Straight Line Systems

    • Alberto Bressan, Helge Kristian Jenssen
    Pages 187-196

  2. The Convergence of Multicomponent Chromatography with Relaxation

    • Alberto Bressan, Wen Shen
    Pages 197-205

  3. A Strongly Degenerate Convection-diffusion Problem Modeling Centrifugation of Flocculated Suspensions

    • Raimund Bürger, Kenneth Hvistendahl Karlsen
    Pages 207-216

  4. Weak Shock Reflection Modeled by the Unsteady Transonic Small Disturbance Equation

    • Sunčica Čanić, Eun Heui Kim, Barbara Lee Keyfitz
    Pages 217-226

  5. A Hyperbolic System of Conservation Laws in Modeling Endovascular Treatment of Abdominal Aortic Aneurysm

    • Sunčica Čanić, Dragan Mirković
    Pages 227-236

  6. Study on Supersonic Flow Past a Pointed Body

    • Shuxing Chen
    Pages 237-245

  7. Fine-Mesh Numerical Simulations for 2D Riemann Problems with a Multilevel Scheme

    • G. Chiavassa, R. Donat, A. Marquina
    Pages 247-256

  8. Multiresolution Analysis on Triangles: Application to Gas Dynamics

    • Albert Cohen, Sidi Mahmoud Kaber, Marie Postel
    Pages 257-266

  9. Propagation and Interaction of Nonlinear Waves to Quasilinear Equations

    • V. G. Danilov, V. M. Shelkovich
    Pages 267-276

  10. MHD Instabilities Arising in Solar Physics: A Numerical Approach

    • Andreas Dedner, Dietmar Kröner, Christian Rohde, Matthias Wesenberg
    Pages 277-286

  11. Numerical Methods for the Real Gas MHD Equations

    • Andreas Dedner, Matthias Wesenberg
    Pages 287-296

  12. Towards a Kinetic Model of Turbulent Incompressible Fluids

    • P. Degond, M. Lemou
    Pages 297-306

  13. Parabolic Relaxation of Semilinear Multidimensional Hyperbolic Systems

    • Donatella Donatelli, Pierangelo Marcati
    Pages 307-316

  14. Large Time Asymptotics in Contaminant Transport in Porous Media with Variable Diffusion

    • Gema Duro, Enrique Zuazua
    Pages 317-325

  15. A Nonlinear Flux Vector Split Defect Correction Scheme for Fast Solutions of the Euler and Navier-Stokes Equations

    • Albrecht Eberle
    Pages 327-336

  16. A Continuous Dependence Result for Nonlinear Degenerate Parabolic Equations with Spatially Dependent Flux Function

    • S. Evje, K. H. Karlsen, N. H. Risebro
    Pages 337-346

  17. A Lagrangian Central Scheme for Multi-Fluid Flows

    • Riccardo Fazio, Giovanni Russo
    Pages 347-356

  18. Ultimate Boundedness, Propagation of Oscillations, and the Long-time Behaviour of Solutions to the Navier-Stokes Equations of Compressible Fluid Flows

    • Eduard Feireisl
    Pages 357-362

  19. Adaptive Methods for the Solution of Compressible Flow

    • M. Feistauer, A. Kliková
    Pages 363-372

  20. The MoT-ICE: A New Multi-dimensional Wave-propagation-algorithm Based on Fey’s Method of Transport. With Application to the Euler- and MHD-equations

    • Michael Fey, Sebastian Noelle, Christian von Törne
    Pages 373-380
Back to top

Keywords

About this book

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.

Editors and Affiliations

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

    Heinrich Freistühler

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

    Gerald Warnecke

Bibliographic Information

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

  • Book Subtitle: Eighth International Conference in Magdeburg, February/March 2000 Volume 1

  • Editors: Heinrich Freistühler, Gerald Warnecke

  • Series Title: International Series of Numerical Mathematics

  • DOI: https://doi.org/10.1007/978-3-0348-8370-2

  • Publisher: Birkhäuser Basel

  • eBook Packages: Springer Book Archive

  • Copyright Information: Birkhäuser Verlag 2001

  • Hardcover ISBN: 978-3-7643-6709-1Published: 01 January 2002

  • Softcover ISBN: 978-3-0348-9537-8Published: 23 October 2012

  • eBook ISBN: 978-3-0348-8370-2Published: 01 December 2013

  • Series ISSN: 0373-3149

  • Series E-ISSN: 2296-6072

  • Edition Number: 1

  • Number of Pages: XVI, 474

  • Topics: Mathematics, general

Publish with us

Policies and ethics

Back to top

Search

Navigation