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High Order Asymptotically Strong-Stability-Preserving Methods for Hyperbolic Systems with Stiff Relaxation

In: Hyperbolic Problems: Theory, Numerics, Applications

Author

Listed:
  • Lorenzo Pareschi

    (University of Ferrara, Department of Mathematics)

  • Giovanni Russo

    (University of Catania, Department of Mathematics and Computer Science)

Abstract

In this not e we report some recent result on the time discretization of hyperbolic systems of conservation laws with stiff relaxation terms. The formalism of Implicit-Explicit (IMEX) Runge-Kutta methods is essential in the derivation and analysis of the schemes. Here we restrict to diagonally implicit schemes and consider the development of schemes up to order 3 that are asymptotic-preserving (AP) and strong-stability-preserving (SSP) for the limiting system of conservation laws.

Suggested Citation

  • Lorenzo Pareschi & Giovanni Russo, 2003. "High Order Asymptotically Strong-Stability-Preserving Methods for Hyperbolic Systems with Stiff Relaxation," Springer Books, in: Thomas Y. Hou & Eitan Tadmor (ed.), Hyperbolic Problems: Theory, Numerics, Applications, pages 241-251, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-55711-8_21
    DOI: 10.1007/978-3-642-55711-8_21
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