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
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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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