Condition numbers for singular integral equations in weighted L2 spaces

被引：8

作者：

Laurita, C ^{[1
]}

机构：

[1] Univ Studi Basilicata, Dipartimento Matemat, I-85100 Potenza, Italy

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2000年 / 116卷 / 01期

关键词：

Cauchy singular integral equation; Besov space; Lagrange interpolation; collocation method; condition number;

D O I：

10.1016/S0377-0427(99)00279-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The convergence and stability of a discrete collocation method for Cauchy singular integral equations in some weighted Besov spaces are studied. This numerical method results in solving a linear system in order to determine the unknown coefficients of the approximate solution. The author proves that this linear system is well conditioned. (C) 2000 Elsevier Science B.V. All rights reserved.

引用

页码：23 / 40

页数：18

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