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Weighted ENO schemes for Hamilton-Jacobi equations. (English) Zbl 0957.35014
The authors introduce a weighted ENO scheme for Hamilton-Jacobi equations. The purpose of the weighting is to afford a smooth transition between the traditional ENO scheme in regions with discontinuities and a fifth-order scheme where the solution is smooth. Several examples are given, illustrating the efficacy of the method.

MSC:
35A35 Theoretical approximation in context of PDEs
65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs
35F25 Initial value problems for nonlinear first-order PDEs
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