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.
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页码：241 / 271
页数：31
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