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Nonlinear Hyperbolic Problems

Proceedings of an Advanced Research Workshop held in St. Etienne, France, January 13-17, 1986

  • Conference proceedings
  • © 1987

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Editors:
  1. Claude Carasso
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  2. Denis Serre
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  3. Pierre-Arnaud Raviart
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1270)

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Table of contents (25 papers)

  1. Front Matter

    Pages I-XV
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  2. Approximate solution of the generalized Riemann problem and applications

    • A. Bourgeade, P. Le Floch, P. A. Raviart
    Pages 1-9

  3. Computation of oscillatory solutions to partial differential equations

    • Björn Engquist
    Pages 10-22

  4. Preliminary results on the extension of eno schemes to two-dimensional problems

    • Ami Harten
    Pages 23-40

  5. Upwind differencing schemes for hyperbolic conservation laws with source terms

    • P. L. Roe
    Pages 41-51

  6. The entropy dissipation by numerical viscosity in nonlinear conservative difference schemes

    • Eitan Tadmor
    Pages 52-63

  7. 2-D and 3-D Euler computations with finite element methods in aerodynamics

    • Billey V., Periaux J., Perrier P., Stoufflet B.
    Pages 64-81

  8. A “box-scheme” for the euler equations

    • Jean-Jacques Chattot, Sylvie Malet
    Pages 82-102

  9. Numerical techniques in elastoplasticity

    • J. F. Colombeau, A. Y. Le Roux
    Pages 103-114

  10. An implicit centered scheme which gives non-oscillatory steady shocks

    • Virginie Daru, Alain Lerat
    Pages 115-127

  11. A computer-aided system for investigation and construction of difference schemes of gas dynamics

    • Y. I. Shokin
    Pages 128-134

  12. Lois de conservation et integrales d'energie des equations hyperboliques

    • S. K. Godounov
    Pages 135-149

  13. On symmetrizing hyperbolic differential equations

    • Peter D. Lax
    Pages 150-151

  14. A survey of nonstrictly hyperbolic conservation laws

    • Barbara Lee Keyfitz
    Pages 152-162

  15. Admissibility criteria for phase boundaries

    • M. Slemrod
    Pages 163-171

  16. The transformation from Eulerian to Lagrangian coordinates for solutions with discontinuities

    • David H. Wagner
    Pages 172-180

  17. Two existence theorems for systems of conservation laws with dissipation

    • David Hoff
    Pages 181-194

  18. Global solutions to some free boundary problems for quasilinear hyperbolic systems and applications

    • Li Ta-tsien, Li Da-qian
    Pages 195-209

  19. Un theoreme d'existence globale en elasticite non lineaire mono-dimensionnelle

    • Michel Rascle
    Pages 210-220

  20. A nonhomogeneous system of equations of nonisentropic gas dynamics

    • Wang Jinghua
    Pages 221-237
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Keywords

About this book

The field of nonlinear hyperbolic problems has been expanding very fast over the past few years, and has applications - actual and potential - in aerodynamics, multifluid flows, combustion, detonics amongst other. The difficulties that arise in application are of theoretical as well as numerical nature. In fact, the papers in this volume of proceedings deal to a greater extent with theoretical problems emerging in the resolution of nonlinear hyperbolic systems than with numerical methods. The volume provides an excellent up-to-date review of the current research trends in this area.

Bibliographic Information

  • Book Title: Nonlinear Hyperbolic Problems

  • Book Subtitle: Proceedings of an Advanced Research Workshop held in St. Etienne, France, January 13-17, 1986

  • Editors: Claude Carasso, Denis Serre, Pierre-Arnaud Raviart

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0078312

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1987

  • Softcover ISBN: 978-3-540-18200-9Published: 12 August 1987

  • eBook ISBN: 978-3-540-47805-8Published: 15 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: XVIII, 342

  • Topics: Analysis

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