Existence and uniqueness of traveling waves and error estimates for Godunov schemes of conservation laws

Fan, Haitao

doi:10.1090/S0025-5718-98-00921-1

Existence and uniqueness of traveling waves and error estimates for Godunov schemes of conservation laws
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Math. Comp. 67 (1998), 87-109 Request permission

Abstract:

The existence and uniqueness of the Lipschitz continuous traveling wave of Godunov’s scheme for scalar conservation laws are proved. The structure of the traveling waves is studied. The approximation error of Godunov’s scheme on single shock solutions is shown to be $O(1)\Delta x$.

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