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Central WENO schemes for hyperbolic systems of conservation laws. (English) Zbl 0938.65110
A family of high order, essentially non-oscillatory, central schemes for approximating solutions of systems of hyperbolic conservation laws is presented. These schemes are based on a new centered version of the weighted essentially nonoscillatory (WENO) reconstruction of point-values from cell-averages, which is then followed by an accurate approximation of the fluxes via a natural continuous extension of Runge-Kutta solvers. Third- and fourth-order schemes are constructed and their high-resolution properties in several numerical tests are demonstrated.
Reviewer: L.G.Vulkov (Russe)

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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