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Godunov Methods

Theory and Applications

  • Book
  • © 2001

Overview

Editors:
  1. E. F. Toro

    1. Manchester Metropolitan University, Manchester, UK

  • 141k Accesses

  • 89 Citations

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About this book

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.

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Table of contents (97 chapters)

  1. Front Matter

    Pages i-xvii
    Download chapter PDF

  2. OleĬnik’s E-Condition from the Viewpoint of Numerics

    • Hideaki Aiso
    Pages 1-25

  3. New Results for Residual Distribution Schemes

    • R. Abgrall, T. J. Barth
    Pages 27-43

  4. Simulations of Relativistic Jets with Genesis

    • M. A. Aloy, J. M. Ibanyez, J. M. Marti, J. L. Gomez, E. Mueller
    Pages 45-52

  5. Relativistic Jets from Collapsars

    • M. A. Aloy, E. Mueller, J. M. Ibanyez, J. M. Marti, A. Macfadyen
    Pages 53-59

  6. Exact Computation in Numerical Linear Algebra: The Discrete Fourier Transform

    • J. A. D. W. Anderson, P. K. Sweby
    Pages 61-67

  7. Comparative Study of HLL, HLLC and Hybrid Riemann Solvers in Unsteady Compressible Flows

    • A. Bagabir, D. Drikakis
    Pages 69-75

  8. A New Reconstruction Technique for the Euler Equations of Gas Dynamics with Source Terms

    • P. Bartsch, A. Borzi’
    Pages 77-88

  9. Colella-Glaz Splitting Scheme for Thermally Perfect Gases

    • A. Beccantini
    Pages 89-95

  10. Meshless Particle Methods: Recent Developments for Nonlinear Conservation Laws in Bounded Domain

    • B. Ben Moussa
    Pages 97-108

  11. Application of Wave-Propagation Algorithm to Two-Dimensional Thermoelastic Wave Propagation in Inhomogeneous Media

    • A. Berezovski, G. A. Maugin
    Pages 109-116

  12. Unstructured Mesh Solvers for Hyperbolic PDES with Source Terms: Error Estimates and Mesh Quality

    • M. Berzins, L. J. K. Durbeck
    Pages 117-123

  13. Constancy Preserving, Conservative Methods for Free-Surface Models

    • L. Bonaventura, E. S. Gross
    Pages 125-133

  14. Hyperbolic-Elliptic Splitting for the Pseudo-Compressible Euler Equations

    • A. Bonfiglioli
    Pages 135-140

  15. Godunov Solution of Shallow Water Equations on Curvilinear and Quadtree Grids

    • A. G. L. Borthwick, M. Fujihara, B. D. Rogers
    Pages 141-148

  16. A Higher-Order-Accurate Reconstruction for the Computation of Compressible Flows on Cell-Vertex Triangular Grids

    • L. A. Catalano
    Pages 149-154

  17. Numerical Experiments with Multilevel Schemes for Conservation Laws

    • G. Chiavassa, R. Donat
    Pages 155-160

  18. Volume-of-Fluid Methods for Partial Differential Equations

    • Phillip Colella
    Pages 161-177

  19. Some New Godunov and Relaxation Methods for Two-Phase Flow Problems

    • F. Coquel, E. Godlewski, B. Perthame, A. In, P. Rascle
    Pages 179-188

  20. Development of Genuinely Multidimensional Upwind Residual Distribution Schemes for the System of Eight Wave Ideal Magnetohydro-Dynamic Equations on Unstructured Grids

    • Árpád Csík, Herman Deconinck, Stefaan Poedts
    Pages 189-196
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Editors and Affiliations

  • Manchester Metropolitan University, Manchester, UK

    E. F. Toro

Accessibility Information

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Bibliographic Information

  • Book Title: Godunov Methods

  • Book Subtitle: Theory and Applications

  • Editors: E. F. Toro

  • DOI: https://doi.org/10.1007/978-1-4615-0663-8

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Kluwer Academic / Plenum Publishers, New York 2001

  • Hardcover ISBN: 978-0-306-46601-4Published: 31 December 2001

  • Softcover ISBN: 978-1-4613-5183-2Published: 12 November 2012

  • eBook ISBN: 978-1-4615-0663-8Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: XVII, 1077

  • Topics: Numeric Computing, History of Mathematical Sciences, Applications of Mathematics, Classical Mechanics

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