Abstract
The aim of this paper is to propose a numerical method approximating the solutions of a system of CSIE. The stability and the convergence of the method are proved in weighted L2 spaces. An application to the numerical resolution of CSIE on curves is also given. Finally some numerical tests confirming the error estimates are shown. Cauchy singular integral equation, quadrature method, Lagrange interpolation 65R20, 45E05
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