ASYMPTOTIC EXPANSIONS FOR APPROXIMATE EIGENVALUES OF INTEGRAL OPERATORS WITH NONSMOOTH KERNELS
DSpace at IIT Bombay
View Archive InfoField | Value | |
Title |
ASYMPTOTIC EXPANSIONS FOR APPROXIMATE EIGENVALUES OF INTEGRAL OPERATORS WITH NONSMOOTH KERNELS
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Creator |
KULKARNI, RP
RANE, AS |
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Subject |
Asymptotic expansion
Fredholm integral operator Green's function type kernels Iterated collocation method Nystrom method 2ND KIND EQUATIONS EXTRAPOLATION |
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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.
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Publisher |
TAYLOR & FRANCIS INC
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Date |
2014-10-16T05:54:38Z
2014-10-16T05:54:38Z 2012 |
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Type |
Article
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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 |
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Language |
en
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