A Hamiltonian-conserving Galerkin scheme for the Camassa-Holm equation

被引：20
|
作者：
Matsuo, Takayasu [1 ]
机构：
[1] Univ Tokyo, Grad Sch Informat Sci & Technol, Bunkyo Ku, Tokyo 1130033, Japan
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2010年 / 234卷 / 04期
基金：
日本学术振兴会;
关键词：
Galerkin method; Finite-element method; Conservation; Camassa-Holm equation; FINITE-DIFFERENCE SCHEMES;
D O I：
10.1016/j.cam.2009.09.020
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A new Hamiltonian-conserving Galerkin scheme for the Camassa-Holm equation is presented. The scheme has an additional welcome feature that in exact arithmetic it is unconditionally stable in the sense that the solution is always bounded. Numerical examples that confirm the theory and the effectiveness of the scheme are also given. (C) 2009 Elsevier B.V. All rights reserved.
引用
收藏
页码：1258 / 1266
页数：9
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