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

doi:10.1016/j.amc.2010.10.003

CSpace

	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
	2010-12-15
发表期刊	APPLIED MATHEMATICS AND COMPUTATION
ISSN	0096-3003
卷号	217 期号:8 页码:3974-3984
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.
关键词	Super-convergence rates Discrete projection methods Eigenvalue problems
DOI	10.1016/j.amc.2010.10.003
语种	英语
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
WOS类目	Mathematics, Applied
WOS记录号	WOS:000284600700030
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/10109
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.