Is the formal energy of the mid-point rule convergent?

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	Is the formal energy of the mid-point rule convergent?
	Tang, YF ; Xiao, AG ; Chen, JB
	2002-04-01
发表期刊	COMPUTERS & MATHEMATICS WITH APPLICATIONS
ISSN	0898-1221
卷号	43 期号:8-9 页码:1171-1181
摘要	We obtain some formulae for calculation of the coefficients of four special types of terms in tau(2k), k = 1, 2.... (1-1 corresponding to four type of (2k + 1)-vertex free unlabeled trees, k = 1, 2..., respectively), for a fixed step size tau, in the tree-expansion of the formal energy of the mid-point rule. And, we give an estimate of the difference between the formal energy H and the standard Hamiltonian H in some domain Omega under the assumptions (i) H is smooth and bounded in Omega, and (ii) the absolute values of the coefficients of the terms in tau(2k) are uniformly bounded by etasigma(2k) for some constants eta greater than or equal to 1, sigma > 0 and for any k greater than or equal to 1. (C) 2002 Elsevier Science Ltd. All rights reserved.
关键词	mid-point rule formal energy tree-expansion
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000174975300020
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/17688
专题	中国科学院数学与系统科学研究院
通讯作者	Tang, YF
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci & Engn Comp, Beijing 100080, Peoples R China 2.Xiangtan Univ, Dept Math, Xiangtan 411105, Peoples R China
推荐引用方式 GB/T 7714	Tang, YF,Xiao, AG,Chen, JB. Is the formal energy of the mid-point rule convergent?[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS,2002,43(8-9):1171-1181.
APA	Tang, YF,Xiao, AG,&Chen, JB.(2002).Is the formal energy of the mid-point rule convergent?.COMPUTERS & MATHEMATICS WITH APPLICATIONS,43(8-9),1171-1181.
MLA	Tang, YF,et al."Is the formal energy of the mid-point rule convergent?".COMPUTERS & MATHEMATICS WITH APPLICATIONS 43.8-9(2002):1171-1181.