Riemann solvers, the entropy condition, and difference approximations. (English) Zbl 0592.65069

This paper introduces a condition on the numerical flux for semidiscrete approximations to scalar nonconvex conservation laws and it is shown that convergence to the correct solution is guaranteed. Using this new formula the Riemann problem is solved. Practical applications are given in case of refraction and compression waves.
Reviewer: P.K.Mahanti


65N12 Stability and convergence of numerical methods for boundary value problems involving PDEs
35L65 Hyperbolic conservation laws
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