This talk deals with the numerical treatment of singular integral equations having constant coefficients and negative index equal to -1. A quadrature type method is proposed and its stability and convergence are proved in weighted $L^2$ spaces. A polynomial approximation of the solution is constructed by solving a determined and well conditioned linear system.
A quadrature method for Cauchy Singular Integral Equations with index -1
LAURITA, Concetta
2011-01-01
Abstract
This talk deals with the numerical treatment of singular integral equations having constant coefficients and negative index equal to -1. A quadrature type method is proposed and its stability and convergence are proved in weighted $L^2$ spaces. A polynomial approximation of the solution is constructed by solving a determined and well conditioned linear system.File in questo prodotto:
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