Existence and uniqueness of traveling waves and error estimates for Godunov schemes of conservation laws

被引：11
|
作者：
Fan, HT [1 ]
机构：
[1] Georgetown Univ, Dept Math, Washington, DC 20057 USA
来源：
MATHEMATICS OF COMPUTATION | 1998年 / 67卷 / 221期
关键词：
D O I：
10.1090/S0025-5718-98-00921-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The existence and uniqueness of the Lipschitz continuous traveling wave of Godunov's scheme for scalar conservation laws are proved. The structure of the traveling waves is studied. The approximation error of Godunov's scheme on single shock solutions is shown to be O(1)Delta x.
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页码：87 / 109
页数：23
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