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Publication Cover
Applicable Analysis
An International Journal
Volume 19, 1985 - Issue 1
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Original Articles

On the Approximate Solutions of Singular Integral Equations Using Galerkin-Type and Collocation Methods

D. Colton Applied Mathematics and Statistics, SUlY at Stony Brook, Stony Brook, NY, 11794, U.S.A.View further author information
,
Ram P. Srivastav Applied Mathematics and Statistics, SUlY at Stony Brook, Stony Brook, NY, 11794, U.S.A.View further author information
&
Ezio Venturino Applied Mathematics and Statistics, SUlY at Stony Brook, Stony Brook, NY, 11794, U.S.A.View further author information
Pages 39-48 | Received 30 Mar 1984, Published online: 02 May 2007
 
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Abstract

AMS (MOS): 54E05, 41A05

Polynomial approximations to the solution of Cauchy-type singular integral equations usually are constructed either by satisfying the equation at a finite discrete set of collocation points or by minimizing the difference between the two sides of the equation in an appropriate norm. The paper points out an interesting relationship between these two approximations.

Additional information

Notes on contributors

D. Colton

Ram P. Srivastav

Ezio Venturino

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