KMS Of Academy of mathematics and systems sciences, CAS
| Non-existence of conjugate-symplectic multi-step methods of odd order | |
Jiao, Yandong; Dai, Guidong; Feng, Quandong; Tang, Yifa
| |
| 2007-11-01 | |
| Source Publication | JOURNAL OF COMPUTATIONAL MATHEMATICS
 |
| ISSN | 0254-9409 |
| Volume | 25Issue:6Pages:690-696 |
| Abstract | 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. |
| Keyword | linear multi-step method generalized linear multi-step method step-transition operator infinitesimally symplectic conjugate-symplectic |
| Language | 英语 |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied ; Mathematics |
| WOS ID | WOS:000251115500005 |
| Publisher | VSP BV |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/3945 |
| Collection | 计算数学与科学工程计算研究所 |
| Corresponding Author | Jiao, Yandong |
| Affiliation | 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 |
| Recommended Citation 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. |
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