中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
Expansions of step-transition operators of multi-step methods and order barriers for Dahlquist pairs

文献类型:期刊论文

作者Feng, QD; Tang, YF; Yifa Tang
刊名JOURNAL OF COMPUTATIONAL MATHEMATICS
出版日期2006
卷号24期号:1页码:45-58
关键词linear multi-step method step-transition operator B-series Dahlquist (conjugate) pair symplecticity
ISSN号0254-9409
英文摘要Using least parameters, we expand the step-transition operator of any linear multi-step method (LMSM) Up to O(tau(s+5)) with order s = I and rewrite the expansion of the step-transition operator for s = 2 (obtained by the second author in a former paper). We prove that in the conjugate relation G(3)(lambda tau) circle G(1)(tau) = G(2)(tau) circle G(3)(lambda tau) with G, being an LMSM, (1) the order of G(2) can not be higher than that of G(1); (2) if G(3) is also an LMSM and G(2) is a symplectic B-series, then the orders of G(1), G(2) and G(3) must be 2, 2 and I respectively.
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000235395500006
出版者GLOBAL SCIENCE PRESS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/3356]  
专题计算数学与科学工程计算研究所
通讯作者Feng, QD
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
Feng, QD,Tang, YF,Yifa Tang. Expansions of step-transition operators of multi-step methods and order barriers for Dahlquist pairs[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2006,24(1):45-58.
APA Feng, QD,Tang, YF,&Yifa Tang.(2006).Expansions of step-transition operators of multi-step methods and order barriers for Dahlquist pairs.JOURNAL OF COMPUTATIONAL MATHEMATICS,24(1),45-58.
MLA Feng, QD,et al."Expansions of step-transition operators of multi-step methods and order barriers for Dahlquist pairs".JOURNAL OF COMPUTATIONAL MATHEMATICS 24.1(2006):45-58.

入库方式: OAI收割

来源:数学与系统科学研究院

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