alexa CENTRAL WENO SCHEMES FOR HYPERBOLIC SYSTEMS OF CONSERVATION LAWS
Bioinformatics & Systems Biology

Bioinformatics & Systems Biology

Journal of Theoretical and Computational Science

Author(s): Doron Levy, Gabriella Puppo, Giovanni Russo

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. We present a family of high-order, essentially non-oscillatory, central schemes for approximating solutions of hyperbolic systems of conservation laws. These schemes are based on a new centered version of the Weighed Essentially Non-Oscillatory (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. We explicitly construct the third and fourth-order scheme and demonstrate their high-resolution properties in several numerical tests

This article was published in Mathematical Modelling and Numerical Analysis and referenced in Journal of Theoretical and Computational Science

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