Geometric meshes in collocation methods for Volterra integral equations with proportional delays

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	Geometric meshes in collocation methods for Volterra integral equations with proportional delays
	Brunner, H ; Hu, QUY ; Lin, Q
	2001-10-01
发表期刊	IMA JOURNAL OF NUMERICAL ANALYSIS
ISSN	0272-4979
卷号	21 期号:4 页码:783-798
摘要	In this paper we analyse the local superconvergence properties of iterated piecewise polynomial collocation solutions for linear second-kind Volterra integral equations with (vanishing) proportional delays qt (0 < q < 1). It is shown that on suitable geometric meshes depending on q, collocation at the Gauss points leads to almost optimal superconvergence at the mesh points. This contrasts with collocation on uniform meshes where the problem regarding the attainable order of local superconvergence remains open.
关键词	delay integral equation geometric mesh collocation method iterated collocation solution superconvergence
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000171947000001
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/16001
专题	中国科学院数学与系统科学研究院
通讯作者	Brunner, H
作者单位	1.Mem Univ Newfoundland, Dept Math & Stat, St Johns, NF A1C 5S7, Canada 2.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Brunner, H,Hu, QUY,Lin, Q. Geometric meshes in collocation methods for Volterra integral equations with proportional delays[J]. IMA JOURNAL OF NUMERICAL ANALYSIS,2001,21(4):783-798.
APA	Brunner, H,Hu, QUY,&Lin, Q.(2001).Geometric meshes in collocation methods for Volterra integral equations with proportional delays.IMA JOURNAL OF NUMERICAL ANALYSIS,21(4),783-798.
MLA	Brunner, H,et al."Geometric meshes in collocation methods for Volterra integral equations with proportional delays".IMA JOURNAL OF NUMERICAL ANALYSIS 21.4(2001):783-798.