A stroboscopic averaging algorithm for highly oscillatory delay problems
文献类型：期刊论文
| 作者 | Sanz-Serna, J. M.3; Zhu, Beibei1,2 |
| 刊名 | IMA JOURNAL OF NUMERICAL ANALYSIS
 |
| 出版日期 | 2019-07-01 |
| 卷号 | 39期号:3页码:1110-1133 |
| 关键词 | delay differential equations stroboscopic averaging highly oscillatory problems |
| ISSN号 | 0272-4979 |
| DOI | 10.1093/imanum/dry020 |
| 英文摘要 | We propose and analyse a heterogeneous multiscale method for the efficient integration of constant-delay differential equations subject to fast periodic forcing. The stroboscopic averaging method suggested here may provide approximations with O(H-2 + 1/Omega(2)) errors with a computational effort that grows like H-1 (the inverse of the step size), uniformly in the forcing frequency Omega. |
| 资助项目 | Ministerio de Economia y Comercio[MTM2013-46553-C3-1-P] ; Ministerio de Economia, Industria y Competitividad, Spain[MTM2016-77660-P] ; National Natural Science Foundation of China[11371357] ; National Natural Science Foundation of China[11771438] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000491259000002 |
| 出版者 | OXFORD UNIV PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/35837]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Zhu, Beibei |
| 作者单位 | 1.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 2.Chinese Acad Sci, State Key Lab Sci & Engn Comp, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Univ Carlos III Madrid, Dept Matemat, Ave Univ 30, E-28911 Madrid, Spain |
| 推荐引用方式 GB/T 7714 | Sanz-Serna, J. M.,Zhu, Beibei. A stroboscopic averaging algorithm for highly oscillatory delay problems[J]. IMA JOURNAL OF NUMERICAL ANALYSIS,2019,39(3):1110-1133. |
| APA | Sanz-Serna, J. M.,&Zhu, Beibei.(2019).A stroboscopic averaging algorithm for highly oscillatory delay problems.IMA JOURNAL OF NUMERICAL ANALYSIS,39(3),1110-1133. |
| MLA | Sanz-Serna, J. M.,et al."A stroboscopic averaging algorithm for highly oscillatory delay problems".IMA JOURNAL OF NUMERICAL ANALYSIS 39.3(2019):1110-1133. |
入库方式： OAI收割
来源：数学与系统科学研究院
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