Discrete multi-projection methods for eigen-problems of compact integral operators

doi:10.1016/j.amc.2010.10.003

	Discrete multi-projection methods for eigen-problems of compact integral operators
	Long, Guangqing 1,2; Nelakanti, Gnaneshwar 3; Panigrahi, Bijaya Laxmi 3; Sahani, Mitali Madhumita 3
刊名	APPLIED MATHEMATICS AND COMPUTATION
	2010-12-15
卷号	217 期号:8 页码:3974-3984
关键词	Super-convergence rates Discrete projection methods Eigenvalue problems
ISSN号	0096-3003
DOI	10.1016/j.amc.2010.10.003
英文摘要	In this paper, a discrete multi-projection method is developed for solving the eigenvalue problem of a compact integral operator with a smooth kernel. We propose a theoretical framework for analysis of the convergence of these methods. The theory is then applied to establish super-convergence results of the corresponding discrete Galerkin method, collocation method and their iterated solutions. Numerical examples are presented to illustrate the theoretical estimates for the error of these methods. Crown Copyright (C) 2010 Published by Elsevier Inc. All rights reserved.
资助项目	Natural Science Foundation of China[11061008] ; Natural Science Foundation of China[10901093] ; Guangxi Higher School[0993002-4] ; Guangxi Science Important Project[0993002-4]
WOS研究方向	Mathematics
语种	英语
出版者	ELSEVIER SCIENCE INC
WOS记录号	WOS:000284600700030
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/10108]
专题	中国科学院数学与系统科学研究院
通讯作者	Long, Guangqing
作者单位	1.Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.Guangxi Normal Coll, Dept Math, Nanning 530001, Peoples R China 3.Indian Inst Technol, Dept Math, Kharagpur 721302, W Bengal, India
推荐引用方式 GB/T 7714	Long, Guangqing,Nelakanti, Gnaneshwar,Panigrahi, Bijaya Laxmi,et al. Discrete multi-projection methods for eigen-problems of compact integral operators[J]. APPLIED MATHEMATICS AND COMPUTATION,2010,217(8):3974-3984.
APA	Long, Guangqing,Nelakanti, Gnaneshwar,Panigrahi, Bijaya Laxmi,&Sahani, Mitali Madhumita.(2010).Discrete multi-projection methods for eigen-problems of compact integral operators.APPLIED MATHEMATICS AND COMPUTATION,217(8),3974-3984.
MLA	Long, Guangqing,et al."Discrete multi-projection methods for eigen-problems of compact integral operators".APPLIED MATHEMATICS AND COMPUTATION 217.8(2010):3974-3984.