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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).

Record type: Article

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.

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Published date: 1 July 1983
Organisations: Electronic & Software Systems

Identifiers

Local EPrints ID: 251438
URI: http://eprints.soton.ac.uk/id/eprint/251438
ISSN: 0272-4979
PURE UUID: 42dd5a45-9ae7-40d8-ba9b-35bdaf324dca

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Date deposited: 03 Nov 1999
Last modified: 18 Jul 2017 10:09

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Contributors

Author: K S Thomas
Author: A. Spence

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