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Approximate solution of the generalized Riemann problem and applications

Numerical Analysis

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

Keywords

  • Shock Wave
  • Rarefaction Wave
  • Jump Condition
  • Transition Curve
  • Entropy Solution

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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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  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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  7. B. Van Leer, Towards the ultimate conservative difference scheme V, J. Comp. Phys. 32 (1979), 101–136.

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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

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