High-order central WENO schemes for 1D Hamilton-Jacobi equations

S. Bryson and D. Levy
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S. Bryson: Stanford University and the NASA Advanced Supercomputing Division, NASA Ames Research Center, Program in Scientific Computing/Computational Mathematics
D. Levy: Stanford University, Department of Mathematics

A chapter in Numerical Mathematics and Advanced Applications, 2003, pp 45-54 from Springer

Abstract: Summary In this paper we present the first fifth-order central scheme for approximating solutions of one-dimensional Hamilton-Jacobi equations. The main ingredient in this scheme is a central weighted essentially non-oscillatory reconstruction in space. The expected behavior of the scheme is demonstrated in several numerical examples.

Keywords: Central Scheme; Nonoscillatory Scheme; WENO Reconstruction; Mesh Ratio; Smoothness Measure (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-88-470-2089-4_4

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DOI: 10.1007/978-88-470-2089-4_4

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