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Boundary Conditions for Hyperbolic Equations or Systems

In: Numerical Mathematics and Advanced Applications

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  • Thierry Gallouët

    (LATP, CMI)

Abstract

Summary Different types of boundary conditions in industrial numerical simulators involving the discretization of hyperbolic systems are presented. For some of them, one may determine the problem to which the limit of approximate solutions (as the discretization parameters tend to 0) is the unique solution. In turn, this convergence result may suggest other ways to take into account the boundary conditions.

Suggested Citation

  • Thierry Gallouët, 2004. "Boundary Conditions for Hyperbolic Equations or Systems," Springer Books, in: Miloslav Feistauer & Vít Dolejší & Petr Knobloch & Karel Najzar (ed.), Numerical Mathematics and Advanced Applications, pages 39-55, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-18775-9_3
    DOI: 10.1007/978-3-642-18775-9_3
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