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ASYMPTOTIC EXPANSIONS FOR APPROXIMATE EIGENVALUES OF INTEGRAL OPERATORS WITH NONSMOOTH KERNELS

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Title ASYMPTOTIC EXPANSIONS FOR APPROXIMATE EIGENVALUES OF INTEGRAL OPERATORS WITH NONSMOOTH KERNELS
 
Creator KULKARNI, RP
RANE, AS
 
Subject Asymptotic expansion
Fredholm integral operator
Green's function type kernels
Iterated collocation method
Nystrom method
2ND KIND
EQUATIONS
EXTRAPOLATION
 
Description We consider approximation of eigenvalues of integral operators with Green's function kernels using the Nystrom method and the iterated collocation method and obtain asymptotic expansions for approximate eigenvalues. We show that the Richardson extrapolation is applicable to find eigenvalue approximations of higher order and illustrate our results by numerical examples.
 
Publisher TAYLOR & FRANCIS INC
 
Date 2014-10-16T05:54:38Z
2014-10-16T05:54:38Z
2012
 
Type Article
 
Identifier NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 33(4)415-440
http://dx.doi.org/10.1080/01630563.2011.650811
http://dspace.library.iitb.ac.in/jspui/handle/100/15389
 
Language en