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An Overview on High Order Numerical Methods for Convection Dominated PDEs

Chi-Wang Shu ()
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Chi-Wang Shu: Brown University, Division of Applied Mathematics

A chapter in Hyperbolic Problems: Theory, Numerics, Applications, 2003, pp 79-88 from Springer

Abstract: Abstract In this presentation we give an overview of some recent progress in high order finite difference and finite volume weighted essentially non-oscillatory (WENO) and finite element discontinuous Galerkin (DG) methods for solving hyperbolic conservation laws and in general convection dominated PDEs, such as convection diffusion equations with small diffusion, and KdV type equations with small dispersion.

Keywords: Discontinuous Galerkin; Discontinuous Galerkin Method; WENO Scheme; Numerical Flux; Finite Volume Scheme (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-55711-8_6

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DOI: 10.1007/978-3-642-55711-8_6

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