Variations on a theme by Euler
文献类型：期刊论文
| 作者 | Feng, K; Wang, DL |
| 刊名 | JOURNAL OF COMPUTATIONAL MATHEMATICS
 |
| 出版日期 | 1998-03-01 |
| 卷号 | 16期号:2页码:97-106 |
| 关键词 | Hamiltonian systems symplectic difference schemes explicit Euler method nilpotent symplectically separable |
| ISSN号 | 0254-9409 |
| 英文摘要 | The oldest and simplest difference scheme is the explicit Euler method. Usually, it is not symplectic for general Hamiltonian systems. It is interesting to ask: Under what conditions of Hamiltonians, the explicit Euler method becomes symplectic? In this paper, we give the class of Hamiltonians for which systems the explicit Euler method is symplectic. In fact, in these cases, the explicit Euler method is really the phase how of the systems, therefore symplectic. Most of important Hamiltonian systems can be decomposed as the summation of these simple systems. Then composition of the Euler method acting on these systems yields a symplectic method, also explicit. These systems are called symplectically separable. Classical separable Hamiltonian systems are symplectically separable. Especially, we prove that any polynomial Hamiltonian is symplectically separable. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000072568700001 |
| 出版者 | VSP BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/13664]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 作者单位 | Chinese Acad Sci, ICMSEC, State Key Lab Sci & Engn Comp, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Feng, K,Wang, DL. Variations on a theme by Euler[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,1998,16(2):97-106. |
| APA | Feng, K,&Wang, DL.(1998).Variations on a theme by Euler.JOURNAL OF COMPUTATIONAL MATHEMATICS,16(2),97-106. |
| MLA | Feng, K,et al."Variations on a theme by Euler".JOURNAL OF COMPUTATIONAL MATHEMATICS 16.2(1998):97-106. |
入库方式： OAI收割
来源：数学与系统科学研究院
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