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Convergence of MUSCL relaxing schemes to the relaxed schemes for conservation laws with stiff source terms. (English) Zbl 0982.65101

The maximum principle for MUSCL relaxing schemes applied to conservation laws with stiff source terms is proven. Stability in BV and \(l^1\) is shown independently of the relaxation parameter. Convergence of the relaxing schemes to the corresponding MUSCL relaxed schemes is established.

MSC:

65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs
35L65 Hyperbolic conservation laws
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