Superconvergence of Interpolated Collocation Solutions for Hammerstein Equations

doi:10.1002/num.20429

	Superconvergence of Interpolated Collocation Solutions for Hammerstein Equations
	Huang, Qiumei 1; Zhang, Shuhua 2
刊名	NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
	2010-03-01
卷号	26 期号:2 页码:290-304
关键词	superconvergence interpolation postprocessing the iterated collocation method Hammerstein equations smooth and weakly singular kernels
ISSN号	0749-159X
DOI	10.1002/num.20429
英文摘要	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
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
语种	英语
出版者	WILEY-BLACKWELL
WOS记录号	WOS:000274816800003
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/9917]
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.