“Good”Boussinesq方程的多辛算法

曾文平; 黄浪扬; 秦孟兆

“Good”Boussinesq方程的多辛算法

1.
华侨大学, 数学系, 福建, 泉州, 362011;
2.
中科院, 计算数学与科学工程计算研究所, 科学与工程计算国家重点实验室, 北京, 100080

基金项目: 中科院计算数学与科学工程计算研究所科学与工程计算国家重点实验室资助项目;华侨大学自然科学基金资助项目

详细信息

作者简介:
曾文平(1940- ),男,福建惠安人,男,教授(E-mail:qmz@lsec.cc.ac.cn).

中图分类号: O241.82
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- 文章访问数: 2538
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- 被引次数: 0
出版历程
- 收稿日期: 2001-09-25
- 修回日期: 2002-02-05
- 刊出日期: 2002-07-15

The Multi-Symplectic Algorithm for“Good” Boussinesq Equation

1.
Department of Mathematics, Huaqiao University, Quanzhou, Fujian 362011, P R China;
2.
The State Key Laboratory of Scientific/Engineering Computing, Institute of Computational Mathematics and Scienctific/Engineering Computing, Chinese Academy of Sciences, Beijing 100080, P R China

摘要

摘要: 考虑非线性“Good”Boussinesq方程的多辛形式,对于多辛形式,提出了一个新的等价于中心Preissman积分的15点多辛格式。数值试验结果表明:多辛格式具有良好的长时间数值行为。
- “Good”Boussinesq方程 /
- 多辛 /
- 守恒律
Abstract: The multi-symplectic formulations of the/"Good" Boussinesq equation were considered.For the multi-symplectic formulation, a new fifteen-point difference scheme which is equivalent to the multi-symplectic Preissman integrator was derived. The numerical experiments show that the multisymplectic scheme have excellent long-time numerical behavior.
- “Good” Boussinesq equation /
- multi-symplectic /
- conservation law

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参考文献(11)

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