The Classical Collocation Method for Singular Integral Equations

Abstract

First of all a method of collocation, which we call “classical” collocation, is described for the approximate solution of complete singular integral equations with Cauchy kernel taken over the arc $( - 1,1)$. Secondly we demonstrate that, under reasonable conditions, the approximate solutions converge to the solution of the original equation.

Identifiers

DOI

10.1137/0719057

Citations and references