Preprint 2004-008

On Large Time Step Godunov Scheme for Hyperbolic Conservation Laws

Jinghua Wang, Hairui Wen and Tie Zhou

Abstract: In this paper we study the large time step (LTS) Godunov scheme proposed by LeVeque for nonlinear hyperbolic conservation laws. As we known, when the Courant number is larger than $1$, the linear interactions of the elementary waves in this scheme will be much more complicated than those for Courant number less than $1$. In this paper, we will show that for scalar conservation laws, for any fixed Courant number, all the possible wave interactions in each time step $t_j

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Jinghua Wang, <>
Hairui Wen <>
Tie Zhou <>
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