## Convergence of an Implicit Spacetime Godunov Finite Volume Method for a Class of Hyperbolic Systems

- Katarina Jegdic, Robert L. Jerrard
- SIAM J. Numerical Analysis
- 2006

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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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