Nystrom method for Cauchy singular integral equations with negative index

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:232

Article

De Bonis, M. C.¹  Laurita, C.¹ 

[1] Univ Basilicata, Dept Math, I-85100 Potenza, Italy

关键词: Cauchy singular integral equations;    Fredholm integral equations;    Nystrom method;    Gaussian quadrature rule;    Lagrange interpolation;    Condition number;   

DOI  :  10.1016/j.cam.2009.06.028

来源: Elsevier

【 摘 要 】

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. (C) 2009 Elsevier B.V. All rights reserved.

【 授权许可】

Free