On superconvergance properties of Galerkin's method for compact operator equatins


Thomas, K S and Spence, A. (1983) On superconvergance properties of Galerkin's method for compact operator equatins IMA Journal of Numerical Analysis, 3, (3) (doi:10.1093/imanum/3.3.253).

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Description/Abstract

Galerkin's method applied to compact operator equations often exhibits superconvergence. In this paper we present a unified framework for an error analysis which deals with the Galerkin and discrete Galerkin methods for equations of the second kind and the eigenvalue problem. An advantage of this framework is that the quadrature errors in the discrete Galerkin method can easily be dealt with. We apply our results to the case of integral equations and spline approximation.

Item Type: Article
Digital Object Identifier (DOI): doi:10.1093/imanum/3.3.253
ISSNs: 0272-4979 (print)
Organisations: Electronic & Software Systems
ePrint ID: 251438
Date :
Date Event
1 July 1983Published
Date Deposited: 03 Nov 1999
Last Modified: 17 Apr 2017 23:42
Further Information:Google Scholar
URI: http://eprints.soton.ac.uk/id/eprint/251438

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