High-order central WENO schemes for 1D Hamilton-Jacobi equations
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.
KeywordsCentral Scheme Nonoscillatory Scheme WENO Reconstruction Mesh Ratio Smoothness Measure
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