Non-existence of conjugate-symplectic multi-step methods of odd order

	Non-existence of conjugate-symplectic multi-step methods of odd order
	Jiao, Yandong ; Dai, Guidong ; Feng, Quandong ; Tang, Yifa
	2007-11-01
发表期刊	JOURNAL OF COMPUTATIONAL MATHEMATICS
ISSN	0254-9409
卷号	25 期号:6 页码:690-696
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.
关键词	linear multi-step method generalized linear multi-step method step-transition operator infinitesimally symplectic conjugate-symplectic
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000251115500005
出版者	VSP BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/3945
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.