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

  • S. Bryson
  • D. Levy
Conference paper


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.


Central Scheme Nonoscillatory Scheme WENO Reconstruction Mesh Ratio Smoothness Measure 
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Copyright information

© Springer-Verlag Italia 2003

Authors and Affiliations

  • S. Bryson
    • 1
  • D. Levy
    • 2
  1. 1.Program in Scientific Computing/Computational MathematicsStanford University and the NASA Advanced Supercomputing Division, NASA Ames Research CenterMoffett FieldUSA
  2. 2.Department of MathematicsStanford UniversityStanfordUSA

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