A QUADRATURE METHOD FOR SYSTEMS OF CAUCHY SINGULAR INTEGRAL EQUATIONS

被引：7

作者：

De Bonis, M. C. ^{[1
]}

Laurita, C. ^{[1
]}

机构：

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

来源：

JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS | 2012年 / 24卷 / 02期

关键词：

Cauchy singular integral equation; quadrature method; Lagrange interpolation; NUMERICAL-ANALYSIS;

D O I：

10.1216/JIE-2012-24-2-241

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：241 / 271

页数：31

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