DocumentCode
2878164
Title
A Product Integration Method for Eigenvalue Problems of a Class of Non-compact Operators
Author
Guangqing Long ; Xiaoyuan Huang ; Aimei Tan
Author_Institution
Math., Guangxi Normal Coll., Nanning, China
fYear
2012
fDate
17-18 Nov. 2012
Firstpage
378
Lastpage
381
Abstract
We consider the eigenvalue problem of a class of non-compact linear operators given as the sum of a multiplication and a integral operators. A product integration method is used to approximation based on numerical integration of the weakly singular kernel integral operator. It is shown that entries of the corresponding matrix of this method can be evaluated exactly. The convergence of the method is proved.
Keywords
approximation theory; eigenvalues and eigenfunctions; integral equations; integration; mathematical operators; matrix algebra; eigenvalue problems; multiplication sum; noncompact linear operators; numerical integration; product integration method; weakly singular kernel integral operator; Convergence; Eigenvalues and eigenfunctions; Equations; Interpolation; Kernel; Mathematical model; eigenvalue problems; integral operators; non-compact; product integration methods;
fLanguage
English
Publisher
ieee
Conference_Titel
Computational Intelligence and Security (CIS), 2012 Eighth International Conference on
Conference_Location
Guangzhou
Print_ISBN
978-1-4673-4725-9
Type
conf
DOI
10.1109/CIS.2012.91
Filename
6405949
Link To Document