A stroboscopic averaging algorithm for highly oscillatory delay problems

doi:10.1093/imanum/dry020

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	A stroboscopic averaging algorithm for highly oscillatory delay problems
	Sanz-Serna, J. M.1; Zhu, Beibei 2,3
	2019-07-01
发表期刊	IMA JOURNAL OF NUMERICAL ANALYSIS
ISSN	0272-4979
卷号	39 期号:3 页码:1110-1133
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.
关键词	delay differential equations stroboscopic averaging highly oscillatory problems
DOI	10.1093/imanum/dry020
语种	英语
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
WOS类目	Mathematics, Applied
WOS记录号	WOS:000491259000002
出版者	OXFORD UNIV PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/35838
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 Carlos III Madrid, Dept Matemat, Ave Univ 30, E-28911 Madrid, Spain 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 Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
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.