Variational integrators for higher order differential equations
文献类型：期刊论文
| 作者 | Sun, YJ; Qin, MZ |
| 刊名 | JOURNAL OF COMPUTATIONAL MATHEMATICS
 |
| 出版日期 | 2003-03-01 |
| 卷号 | 21期号:2页码:135-144 |
| 关键词 | variational integrator symplectic mapping |
| ISSN号 | 0254-9409 |
| 英文摘要 | We analyze three one parameter families of approximations and show that they are symplectic in Lagrangian sence and can be related to symplectic schemes in Hamiltonian sense by different symplectic mappings. We also give a direct generalization of Veselov variational principle for construction of scheme of higher order differential equations. At last, we present numerical experiments. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000182174300003 |
| 出版者 | VSP BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/18652]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Math Inst, Beijing 100080, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci Engn Comp, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Sun, YJ,Qin, MZ. Variational integrators for higher order differential equations[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2003,21(2):135-144. |
| APA | Sun, YJ,&Qin, MZ.(2003).Variational integrators for higher order differential equations.JOURNAL OF COMPUTATIONAL MATHEMATICS,21(2),135-144. |
| MLA | Sun, YJ,et al."Variational integrators for higher order differential equations".JOURNAL OF COMPUTATIONAL MATHEMATICS 21.2(2003):135-144. |
入库方式： OAI收割
来源：数学与系统科学研究院
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