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Composite schemes for conservation laws. (English) Zbl 0920.65054
The authors propose and test some new descendents of the Lax-Friedrichs difference schemes obtained by globally composing a second order accurate oscillatory scheme with either a first order or a second order diffusive scheme. The oscillatory passes seem to contain sufficient solution information which is revealed by the filtering diffusive passes. Composition of these schemes is shown to be effective and efficient by numerical examples.

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