Journal
SIAM JOURNAL ON SCIENTIFIC COMPUTING
Volume 27, Issue 3, Pages 1071-1091Publisher
SIAM PUBLICATIONS
DOI: 10.1137/040608787
Keywords
semi-Lagrangian schemes; Hamilton-Jacobi equations; WENO methods
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We investigate the application of weighted essentially nonoscillatory (WENO) reconstructions to a class of semi-Lagrangian schemes for first order time-dependent Hamilton-Jacobi equations. In particular, we derive a general form of the scheme, study sufficient conditions for its convergence with high-order reconstructions, and perform numerical tests to study its efficiency. In addition, we prove that the weights of the WENO interpolants are positive for any order.
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