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

In: Numerical Mathematics and Advanced Applications

Author

Listed:
  • 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)

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.

Suggested Citation

  • S. Bryson & D. Levy, 2003. "High-order central WENO schemes for 1D Hamilton-Jacobi equations," Springer Books, in: Franco Brezzi & Annalisa Buffa & Stefania Corsaro & Almerico Murli (ed.), Numerical Mathematics and Advanced Applications, pages 45-54, Springer.
    • Handle: RePEc:spr:sprchp:978-88-470-2089-4_4
    DOI: 10.1007/978-88-470-2089-4_4
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