Nyström method for Cauchy singular integral equations with negative index

Authors:
M. C. De Bonis;C. Laurita
Affiliations:
Department of Mathematics, University of Basilicata, Via dell'Ateneo Lucano 10, 85100 Potenza, Italy;Department of Mathematics, University of Basilicata, Via dell'Ateneo Lucano 10, 85100 Potenza, Italy
Venue:
Journal of Computational and Applied Mathematics
Year:
2009

Citing 2
Cited 0

Cauchy singular integral equations in spaces of continuous functions and methods for their numerical solution

Journal of Computational and Applied Mathematics - Special issue: ROLLS symposium
Projection Methods and Condition Numbers in Uniform Norm for Fredholm and Cauchy Singular Integral Equations

SIAM Journal on Numerical Analysis

Quantified Score

Hi-index	7.29

Visualization

Abstract

In this paper, the authors propose a Nystrom 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.