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The Stability and the Convergence of a Collocation Method for a Class of Cauchy Singular Integral Equations

The author proves the stability and the uniform convergence of a collocation method for solving Cauchy singular integral equations with regular pertubation kernel. Error estimates in the uniform norm are also given.

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Bibliographic Details
Published in:Mathematische Nachrichten 1993, Vol.162 (1), p.45-58
Main Author: Capobianco, Maria Rosaria
Format: Article
Language:English
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Summary:The author proves the stability and the uniform convergence of a collocation method for solving Cauchy singular integral equations with regular pertubation kernel. Error estimates in the uniform norm are also given.
ISSN:0025-584X
1522-2616
DOI:10.1002/mana.19931620105