Weighted ENO schemes for Hamilton-Jacobi equations. (English) Zbl 0957.35014

Jiang, Guang-Shan; Peng, Danping

SIAM J. Sci. Comput. 21, No. 6, 2126-2143 (2000).

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.

Reviewer: Gerald W.Hedstrom (Pleasanton)

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

Keywords:

ENO scheme in regions with discontinuities; fifth-order scheme where the solution is smooth