Superconvergence of Interpolated Collocation Solutions for Hammerstein Equations

doi:10.1002/num.20429

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	Superconvergence of Interpolated Collocation Solutions for Hammerstein Equations
	Huang, Qiumei 1; Zhang, Shuhua 2
	2010-03-01
发表期刊	NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
ISSN	0749-159X
卷号	26 期号:2 页码:290-304
摘要	In this article, we discuss the superconvergence of the interpolated collocation solutions for Hammerstein equations. Applying this new interpolation postprocessing to the collocation approximation x(h), We get a higher accuracy approximation I(2h)(2r-1)x(h), whose convergence order is the same as that of the iterated collocation method. Such an interpolation postprocessing method is much simpler. Also, numerical experiments are shown to demonstrate the efficiency of the interpolation postprocessing method. (C) 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 26: 290-304, 2010
关键词	superconvergence interpolation postprocessing the iterated collocation method Hammerstein equations smooth and weakly singular kernels
DOI	10.1002/num.20429
语种	英语
资助项目	Major State Basic Research Project[2007CB814906] ; National Natural Science Foundation of China[10471103] ; National Natural Science Foundation of China[10771158] ; Social Science Foundation of the Ministry of Education of China[06JA630047] ; Tianjin Natural Science Foundation[07JCYBJC14300]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000274816800003
出版者	WILEY-BLACKWELL
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/9918
专题	中国科学院数学与系统科学研究院
通讯作者	Huang, Qiumei
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China 2.Tianjin Univ Finance & Econ, Dept Math, Tianjin 300222, Peoples R China
推荐引用方式 GB/T 7714	Huang, Qiumei,Zhang, Shuhua. Superconvergence of Interpolated Collocation Solutions for Hammerstein Equations[J]. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS,2010,26(2):290-304.
APA	Huang, Qiumei,&Zhang, Shuhua.(2010).Superconvergence of Interpolated Collocation Solutions for Hammerstein Equations.NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS,26(2),290-304.
MLA	Huang, Qiumei,et al."Superconvergence of Interpolated Collocation Solutions for Hammerstein Equations".NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS 26.2(2010):290-304.