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 weightedL 2 spaces, we derive necessary and sufficient conditions.
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Junghanns, P., Rathsfeld, A. On polynomial collocation for Cauchy singular integral equations with fixed singularities. Integr equ oper theory 43, 155–176 (2002). https://doi.org/10.1007/BF01200251
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DOI: https://doi.org/10.1007/BF01200251