A note on symplecticity of step-transition mappings for multi-step methods
文献类型：期刊论文
| 作者 | Dai, Gui-Dong; Tang, Yi-Fa
|
| 刊名 | JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
 |
| 出版日期 | 2006-11-15 |
| 卷号 | 196期号:2页码:474-477 |
| 关键词 | linear multi-step method infinitesimally symplectic symplecticity general linear method |
| ISSN号 | 0377-0427 |
| DOI | 10.1016/j.cam.2005.09.015 |
| 英文摘要 | We prove that for a linear multi-step method Sigma(k=0)alpha(m)(k) Zk=tau Sigma(m)(k=0)beta(k)f(Z(k)), even though the mappings Z(0) -> Z(1), ..., Z(m-2) -> Z(m-1) are chosen to be symplectic, Z(m-1) -> Zm will be non-symplectic. Similarly, there is an interesting result for a sort of general linear methods. (c) 2005 Elsevier B.V. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000239746800012 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/3075]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Tang, Yi-Fa |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100080, Peoples R China 2.Chinese Acad Sci, Grad Sch, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Dai, Gui-Dong,Tang, Yi-Fa. A note on symplecticity of step-transition mappings for multi-step methods[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,2006,196(2):474-477. |
| APA | Dai, Gui-Dong,&Tang, Yi-Fa.(2006).A note on symplecticity of step-transition mappings for multi-step methods.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,196(2),474-477. |
| MLA | Dai, Gui-Dong,et al."A note on symplecticity of step-transition mappings for multi-step methods".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 196.2(2006):474-477. |
入库方式： OAI收割
来源：数学与系统科学研究院
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