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 $L^2$ spaces. An application to the numerical resolution of CSIE on curves is also given. Finally some numerical tests confirming the error estimates are shown.

A quadrature method for systems of Cauchy Singular Integral Equations

DE BONIS, Maria Carmela;LAURITA, Concetta
2012

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 $L^2$ spaces. An application to the numerical resolution of CSIE on curves is also given. Finally some numerical tests confirming the error estimates are shown.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11563/15662
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