In this paper, the authors propose a Nyström method to approximate the solutions of Cauchy singular integral equations with constant coefficients having a negative index. They consider the equations in spaces of continuous functions with weighted uniform norm. They prove the stability and the convergence of the method and show some numerical tests that confirm the error estimates.

Nyström method for Cauchy Singular Integral Equations with negative index

DE BONIS, Maria Carmela;LAURITA, Concetta
2009

Abstract

In this paper, the authors propose a Nyström method to approximate the solutions of Cauchy singular integral equations with constant coefficients having a negative index. They consider the equations in spaces of continuous functions with weighted uniform norm. They prove the stability and the convergence of the method and show some numerical tests that confirm the error estimates.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11563/15235
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