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Non-oscillatory central differencing for hyperbolic conservation laws. (English) Zbl 0697.65068
The building block of many high-resolution schemes for hyperbolic conservation laws is the averaging of an approximate Godunov solver. Instead, here is proposed to use as a building block the most robust Lax- Friedrichs solver. The main advantage is the simplicity: no Riemann problems are solved and here field-by-field decompositions are avoided. Total-variation entropy estimates are provided in the scalar case and numerical experiments are discussed.
Reviewer: V.A.Kostova

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