Semi-discrete central-upwind schemes with reduced dissipation for Hamilton-Jacobi equations

被引：18

作者：

Bryson, S ^{[1
]}

Kurganov, A

Levy, D

Petrova, G

机构：

[1] Stanford Univ, Programme Sci Comp Computat Math, Moffett Field, CA 94035 USA

[2] NASA, Ames Res Ctr, Adv Supercomp Div, Moffett Field, CA 94035 USA

[3] Tulane Univ, Dept Math, New Orleans, LA 70115 USA

[4] Stanford Univ, Dept Math, Moffett Field, CA 94035 USA

[5] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA

来源：

IMA JOURNAL OF NUMERICAL ANALYSIS | 2005年 / 25卷 / 01期

基金：

美国国家科学基金会;

关键词：

Hamilton-Jacobi equations; central-upwind schemes; semi-discrete methods;

D O I：

10.1093/imanum/drh015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce a new family of Godunov-type semi-discrete central schemes for multidimensional Hamilton-Jacobi equations. These schemes are a less dissipative generalization of the central-upwind schemes that have been recently proposed in Kurganov, Noelle and 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 expected low-dissipative property in a variety of examples.

引用

页码：113 / 138

页数：26

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