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On polynomial collocation for Cauchy singular integral equations with fixed singularities

Abstract

In this paper we consider a polynomial collocation method for the numerical solution of Cauchy singular integral equations with fixed singularities over the interval, where the fixed singularities are supposed to be of Mellin convolution type. For the stability and convergence of this method in weighted L2 spaces, we derive necessary and sufficient conditions

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Last time updated on 04/04/2020

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