A new multi-symplectic scheme for nonlinear "good" Boussinesq equation
文献类型:期刊论文
作者 | Huang, LY; Zeng, WP; Qin, MZ |
刊名 | JOURNAL OF COMPUTATIONAL MATHEMATICS
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出版日期 | 2003-11-01 |
卷号 | 21期号:6页码:703-714 |
关键词 | nonlinear "good" Boussinesq equation multi-symplectic scheme Preissmann integrator conservation law |
ISSN号 | 0254-9409 |
英文摘要 | The Hamiltonian formulations of the linear "good" Boussinesq (L.G.B.) equation and the multi-symplectic formulation of the nonlinear "good" Boussinesq (N.G.B.) equation are considered. For the multi-symplectic formulation, a new fifteen-point difference scheme which is equivalent to the multi-symplectic Preissmann integrator is derived. We also present numerical experiments, which show that the symplectic and multi-symplectic schemes have excellent long-time numerical behavior. |
WOS研究方向 | Mathematics |
语种 | 英语 |
WOS记录号 | WOS:000186851300002 |
出版者 | VSP BV |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/18535] ![]() |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Huang, LY |
作者单位 | 1.Huaqiao Univ, Dept Math, Quanzhou 362011, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100080, Peoples R China |
推荐引用方式 GB/T 7714 | Huang, LY,Zeng, WP,Qin, MZ. A new multi-symplectic scheme for nonlinear "good" Boussinesq equation[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2003,21(6):703-714. |
APA | Huang, LY,Zeng, WP,&Qin, MZ.(2003).A new multi-symplectic scheme for nonlinear "good" Boussinesq equation.JOURNAL OF COMPUTATIONAL MATHEMATICS,21(6),703-714. |
MLA | Huang, LY,et al."A new multi-symplectic scheme for nonlinear "good" Boussinesq equation".JOURNAL OF COMPUTATIONAL MATHEMATICS 21.6(2003):703-714. |
入库方式: OAI收割
来源:数学与系统科学研究院
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