Non-existence of conjugate-symplectic multi-step methods of odd order
文献类型：期刊论文
| 作者 | Jiao, Yandong; Dai, Guidong; Feng, Quandong; Tang, Yifa
|
| 刊名 | JOURNAL OF COMPUTATIONAL MATHEMATICS
 |
| 出版日期 | 2007-11-01 |
| 卷号 | 25期号:6页码:690-696 |
| 关键词 | linear multi-step method generalized linear multi-step method step-transition operator infinitesimally symplectic conjugate-symplectic |
| ISSN号 | 0254-9409 |
| 英文摘要 | We prove that any linear multi-step method G(1)(T) of the form [Graphics] with odd order a (u >= 3) cannot be conjugate to a symplectic method G(2)(T) of order w (w >= u) via any generalized linear multi-step method G(3)(T) of the form [Graphics] We also give a necessary condition for this kind of generalized linear multi-step methods to be conjugate-symplectic. We also demonstrate that these results can be easily extended to the case when G(3)(T) is a more general operator. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000251115500005 |
| 出版者 | VSP BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/3944]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Jiao, Yandong |
| 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 | Jiao, Yandong,Dai, Guidong,Feng, Quandong,et al. Non-existence of conjugate-symplectic multi-step methods of odd order[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2007,25(6):690-696. |
| APA | Jiao, Yandong,Dai, Guidong,Feng, Quandong,&Tang, Yifa.(2007).Non-existence of conjugate-symplectic multi-step methods of odd order.JOURNAL OF COMPUTATIONAL MATHEMATICS,25(6),690-696. |
| MLA | Jiao, Yandong,et al."Non-existence of conjugate-symplectic multi-step methods of odd order".JOURNAL OF COMPUTATIONAL MATHEMATICS 25.6(2007):690-696. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。