Stability of Godunov ' S Method for a Class of 2 X 2 Systems of Conservation Laws

  • J. LeVEQUE

Abstract

We prove stability and convergence of the Godunov scheme for a special class of genuinely nonlinear 2x2 systems of conservation laws. The class of systems, which was identified and studied by Temple, is a subset of the class of systems for which the shock wave curves and rarefaction wave curves coincide. None of the equations of gas dynamics fall into this… (More)

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