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Godunov Methods

Theory and Applications

  • E. F. Toro

Table of contents

  1. Front Matter
    Pages i-xvii
  2. R. Abgrall, T. J. Barth
    Pages 27-43
  3. M. A. Aloy, J. M. Ibanyez, J. M. Marti, J. L. Gomez, E. Mueller
    Pages 45-52
  4. M. A. Aloy, E. Mueller, J. M. Ibanyez, J. M. Marti, A. Macfadyen
    Pages 53-59
  5. L. Bonaventura, E. S. Gross
    Pages 125-133
  6. A. G. L. Borthwick, M. Fujihara, B. D. Rogers
    Pages 141-148
  7. F. Coquel, E. Godlewski, B. Perthame, A. In, P. Rascle
    Pages 179-188
  8. A. Dedner, D. Kröner, C. Rohde, M. Wesenberg
    Pages 209-216
  9. A. Dedner, D. Kröner, M. Wesenberg, I. Sofronov
    Pages 217-224
  10. H. De Sterck, S. Poedts
    Pages 247-252
  11. A. Di Mascio, R. Broglia, B. Favini
    Pages 253-261
  12. Kjell Kåre Fjelde, Kenneth Hvistendahl Karlsen
    Pages 319-326
  13. José A. Font, José M. A. Ibáñez, Philippos Papadopoulos
    Pages 327-333
  14. P. Garcia-Navarro, M. E. Hubbard, P. Brufau
    Pages 343-365
  15. L. Gozalo, R. Abgrall
    Pages 411-417
  16. A. Guardone, L. Quartapelle
    Pages 419-424
  17. D. Hanel, L. Tran, R. Vilsmeier
    Pages 445-452
  18. Stephen Higgins, Tim O’Brien, James Dunlop
    Pages 461-467
  19. Helge Holden, Kenneth Hvistendahl Karlsen, Knut-Andreas Lie, Nils Henrik Risebro
    Pages 469-475
  20. M. E. Hubbard, P. Garcia-Navarro
    Pages 477-483
  21. J. MA. Ibáñez, M. A. Aloy, J. A. Font, J. MA. Martí, J. A. Miralles, J. A. Pons
    Pages 485-496
  22. M. K. Kaibara, S. M. Gomes
    Pages 497-503

About this book

Introduction

This edited review book on Godunov methods contains 97 articles, all of which were presented at the international conference on Godunov Methods: Theory and Applications, held at Oxford in October 1999, to commemo­ rate the 70th birthday of the Russian mathematician Sergei K. Godunov. The meeting enjoyed the participation of 140 scientists from 20 countries; one of the participants commented: everyone is here, meaning that virtu­ ally everybody who had made a significant contribution to the general area of numerical methods for hyperbolic conservation laws, along the lines first proposed by Godunov in the fifties, was present at the meeting. Sadly, there were important absentees, who due to personal circumstance could not at­ tend this very exciting gathering. The central theme o{ the meeting, and of this book, was numerical methods for hyperbolic conservation laws fol­ lowing Godunov's key ideas contained in his celebrated paper of 1959. But Godunov's contributions to science are not restricted to Godunov's method.

Keywords

Mathematica algorithms discrete Fourier transform geometry hyperbolic partial differential equation numerical methods partial differential equation simulation wave equation

Editors and affiliations

  • E. F. Toro
    • 1
  1. 1.Manchester Metropolitan UniversityManchesterUK

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4615-0663-8
  • Copyright Information Kluwer Academic / Plenum Publishers, New York 2001
  • Publisher Name Springer, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4613-5183-2
  • Online ISBN 978-1-4615-0663-8
  • Buy this book on publisher's site
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