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

Lorenzo Pareschi,Giovanni Russo

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

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

Lorenzo Pareschi, Giovanni Russo

https://doi.org/10.1007/978-3-642-55711-8_21

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Publication Date: Jan 1, 2003

Citations: 16

Affiliation: University of Catania, University of Ferrara

#Methods For Hyperbolic Systems #Hyperbolic Systems Of Conservation Laws + Show 8 more

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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.

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