Approximate solution of the generalized Riemann problem and applications

  • A. Bourgeade
  • P. Le Floch
  • P. A. Raviart
Numerical Analysis General Theory
First Online:
Part of the Lecture Notes in Mathematics book series (LNM, volume 1270)

Keywords

Shock Wave Rarefaction Wave Jump Condition Transition Curve Entropy Solution 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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References

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    M. Ben-Artzi and J. Falcowitz, A second order Godunov-type scheme for compressible fluid dynamics, J. Comp. Phys. 55 (1984), 1–32.MathSciNetCrossRefMATHGoogle Scholar
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    M. Ben-Artzi and J. Falcowitz, An upwind second-order scheme for compressible duct flows, SIAM J. Sci. Stat. Comp. (to appear).Google Scholar
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    A. Bourgeade, P. Le Floch and P.A. Raviart (to appear).Google Scholar
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    E. Harabetian, A Cauchy-Kowalevsky theorem for strictly hyperbolic systems of of conservation laws with piecewise analytic initial data, Ph.D. dissertation, University of California Los Angeles, 1984.Google Scholar
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    Li Ta-Tsien and Yu Wen-ci, Boundary value problems for quasilinear hyperbolic systems, Duke University Mathematics series, 1985.Google Scholar
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    J. Smoller, Shock waves and reaction-diffusion equations, Springer-Verlag, New York, 1983.CrossRefMATHGoogle Scholar
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    B. Van Leer, Towards the ultimate conservative difference scheme V, J. Comp. Phys. 32 (1979), 101–136.CrossRefGoogle Scholar

Copyright information

© Springer-Verlag 1987

Authors and Affiliations

  • A. Bourgeade
    • 1
  • P. Le Floch
    • 2
  • P. A. Raviart
    • 3
  1. 1.C.E.A. Centre d'Etudes de LimeilVilleneuve Saint GeorgesFrance
  2. 2.Centre de Mathématiques Appliquées, Ecole PolytechniquePalaiseau CedexFrance
  3. 3.Analyse NumériqueUniversité Pierre et Marie CurieParis Cedex 05France

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