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

Lorenzo Pareschi () and Giovanni Russo ()
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Lorenzo Pareschi: University of Ferrara, Department of Mathematics
Giovanni Russo: University of Catania, Department of Mathematics and Computer Science

A chapter in Hyperbolic Problems: Theory, Numerics, Applications, 2003, pp 241-251 from Springer

Abstract: 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.

Keywords: Hyperbolic System; Implicit Part; Asymptotic Preserve; High Order Asymptotically; Butcher Tableau (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-55711-8_21

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DOI: 10.1007/978-3-642-55711-8_21

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