Polynomially based multi-projection methods for Fredholm integral equations of the second kind

doi:10.1016/j.amc.2009.04.053

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	Polynomially based multi-projection methods for Fredholm integral equations of the second kind
	Long, Guangqing 2,3; Sahani, Mitali Madhumita 1; Nelakanti, Gnaneshwar 1
	2009-09-01
发表期刊	APPLIED MATHEMATICS AND COMPUTATION
ISSN	0096-3003
卷号	215 期号:1 页码:147-155
摘要	In this paper, we propose a multi-projection and iterated multi-projection methods for Fredholm integral equations of the second kind with a smooth kernel using polynomial bases. We obtain super-convergence rates for the approximate solutions, more precisely, we prove that in M-Galerkin and M-collocation methods not only iterative solution u(n)' approximates the exact solution u in the supremum norm with the order of convergence n(-4k), but also the derivatives of u(n)' approximate the corresponding derivatives of u in the supremum norm with the same order of convergence, n being the degree of polynomial approximation and k being the smoothness of the kernel. (C) 2009 Elsevier Inc. All rights reserved.
关键词	Super-convergence rates Multi-projection methods Orthogonal polynomials Integral equations
DOI	10.1016/j.amc.2009.04.053
语种	英语
资助项目	China Postdoctoral Science Foundation[2005037603] ; Guangxi Science Foundation of PR China[0728044]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000268761900017
出版者	ELSEVIER SCIENCE INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/8615
专题	中国科学院数学与系统科学研究院
通讯作者	Nelakanti, Gnaneshwar
作者单位	1.Indian Inst Technol, Dept Math, Kharagpur 721302, W Bengal, India 2.Guangxi Normal Coll, Dept Math, Nanning 530001, Peoples R China 3.Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Long, Guangqing,Sahani, Mitali Madhumita,Nelakanti, Gnaneshwar. Polynomially based multi-projection methods for Fredholm integral equations of the second kind[J]. APPLIED MATHEMATICS AND COMPUTATION,2009,215(1):147-155.
APA	Long, Guangqing,Sahani, Mitali Madhumita,&Nelakanti, Gnaneshwar.(2009).Polynomially based multi-projection methods for Fredholm integral equations of the second kind.APPLIED MATHEMATICS AND COMPUTATION,215(1),147-155.
MLA	Long, Guangqing,et al."Polynomially based multi-projection methods for Fredholm integral equations of the second kind".APPLIED MATHEMATICS AND COMPUTATION 215.1(2009):147-155.