SUPERCONVERGENCE OF GALERKIN SOLUTIONS FOR HAMMERSTEIN

	SUPERCONVERGENCE OF GALERKIN SOLUTIONS FOR HAMMERSTEIN
	Huang, Qiumei 1; Xie, Hehu2
	2009
发表期刊	INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING
ISSN	1705-5105
卷号	6 期号:4 页码:696-710
摘要	In the present paper, we discuss the superconvergence of the interpolated Galerkin solutions for Hammerstein equations. With the interpolation post-processing for the Galerkin approximation x(h), we get a higher order approximation I(2h)(2r-1)x(h), whose convergence order is the same as that of the iterated Galerkin solution. Such an interpolation post-processing method is much simpler than the iterated method especially for the weak singular kernel case. Some numerical experiments are carried out to demonstrate the effectiveness of the interpolation post-processing method.
关键词	superconvergence interpolation post-processing iterated Galerkin method Hammerstein equations smooth and weakly singular kernels
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000271544000010
出版者	ISCI-INST SCIENTIFIC COMPUTING & INFORMATION
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/8410
专题	计算数学与科学工程计算研究所
通讯作者	Huang, Qiumei
作者单位	1.Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Huang, Qiumei,Xie, Hehu. SUPERCONVERGENCE OF GALERKIN SOLUTIONS FOR HAMMERSTEIN[J]. INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING,2009,6(4):696-710.
APA	Huang, Qiumei,&Xie, Hehu.(2009).SUPERCONVERGENCE OF GALERKIN SOLUTIONS FOR HAMMERSTEIN.INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING,6(4),696-710.
MLA	Huang, Qiumei,et al."SUPERCONVERGENCE OF GALERKIN SOLUTIONS FOR HAMMERSTEIN".INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING 6.4(2009):696-710.