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Spectral approximation using iterated discrete Galerkin method

DSpace at IIT Bombay

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Title Spectral approximation using iterated discrete Galerkin method
 
Creator KULKARNI, RP
GNANESHWAR, N
 
Subject integral-equations
discrete galerkin
iterated discrete galerkin
numerical quadrature
spectral approximation
spline space
 
Description We consider approximation of eigenelements of an integral operator with a smooth kernel by discrete Galerkin and iterated discrete Galerkin methods. We prove that by using a sufficiently accurate numerical quadrature formula, the orders of convergence in Galerkin/iterated Galerkin methods are preserved. We show that we achieve the same order of convergence in iterated discrete Galerkin method as in Nystrom method, but the size of the generalised eigenvalue problem to be solved is reduced by half.
 
Publisher MARCEL DEKKER INC
 
Date 2011-08-18T12:47:28Z
2011-12-26T12:55:45Z
2011-12-27T05:42:18Z
2011-08-18T12:47:28Z
2011-12-26T12:55:45Z
2011-12-27T05:42:18Z
2002
 
Type Article
 
Identifier NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 23(1-2), 91-104
0163-0563
http://dx.doi.org/10.1081/NFA-120003672
http://dspace.library.iitb.ac.in/xmlui/handle/10054/10020
http://hdl.handle.net/10054/10020
 
Language en