Semi-discrete central-upwind schemes with reduced dissipation for Hamilton-Jacobi equations |
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| Authors: | Bryson Steve; Kurganov Alexander; Levy Doron; Petrova Guergana |
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| Institution: |
1 Programme in Scientific Computing/Computational Mathematics, Stanford University and the NASA Advanced Supercomputing Division, NASA Ames Research Center, Moffett Field, CA 94035-1000, USA, 2 Department of Mathematics, Tulane University, 6823 St. Charles Avenue, New Orleans, LA 70115, USA, 3 Department of Mathematics, Stanford University, Stanford, CA 94305-2125, USA, 4 Department of Mathematics, Texas A & M University, College Station, TX 77843-3368, USA *  ¶
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| Abstract: | We introduce a new family of Godunov-type semi-discrete centralschemes for multidimensional Hamilton–Jacobi equations.These schemes are a less dissipative generalization of the central-upwindschemes that have been recently proposed in Kurganov, Noelleand Petrova (2001, SIAM J. Sci. Comput., 23, pp. 707–740).We provide the details of the new family of methods in one,two, and three space dimensions, and then verify their expectedlow-dissipative property in a variety of examples. |
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| Keywords: | Hamilton– Jacobi equations central-upwind schemes semi-discrete methods |
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