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Approximate solution of the generalized Riemann problem and applications

  • Numerical Analysis
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Nonlinear Hyperbolic Problems

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1270))

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References

  1. M. Ben-Artzi and J. Falcowitz, A second order Godunov-type scheme for compressible fluid dynamics, J. Comp. Phys. 55 (1984), 1–32.

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  2. M. Ben-Artzi and J. Falcowitz, An upwind second-order scheme for compressible duct flows, SIAM J. Sci. Stat. Comp. (to appear).

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  3. A. Bourgeade, P. Le Floch and P.A. Raviart (to appear).

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  4. 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.

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  5. Li Ta-Tsien and Yu Wen-ci, Boundary value problems for quasilinear hyperbolic systems, Duke University Mathematics series, 1985.

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  6. J. Smoller, Shock waves and reaction-diffusion equations, Springer-Verlag, New York, 1983.

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Author information

Authors and Affiliations

  1. C.E.A. Centre d'Etudes de Limeil, B.P. 27, 94190, Villeneuve Saint Georges, France

    A. Bourgeade

  2. Centre de Mathématiques Appliquées, Ecole Polytechnique, 91128, Palaiseau Cedex, France

    P. Le Floch

  3. Analyse Numérique, Université Pierre et Marie Curie, 4 Place Jussieu, 75252, Paris Cedex 05, France

    P. A. Raviart

Authors
  1. A. Bourgeade
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  2. P. Le Floch
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  3. P. A. Raviart
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Editor information

Claude Carasso Denis Serre Pierre-Arnaud Raviart

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© 1987 Springer-Verlag

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Bourgeade, A., Le Floch, P., Raviart, P.A. (1987). Approximate solution of the generalized Riemann problem and applications. In: Carasso, C., Serre, D., Raviart, PA. (eds) Nonlinear Hyperbolic Problems. Lecture Notes in Mathematics, vol 1270. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0078313

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  • DOI: https://doi.org/10.1007/BFb0078313

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18200-9

  • Online ISBN: 978-3-540-47805-8

  • eBook Packages: Springer Book Archive

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