Numerical methods for Cauchy singular integral equations in spaces of weighted continuous functions

被引：0

作者：

Mastroianni, G ^{[1
]}

Russo, MG ^{[1
]}

Themistoclakis, W ^{[1
]}

机构：

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

来源：

RECENT ADVANCES IN OPERATOR THEORY AND ITS APPLICATIONS: THE ISRAEL GOHBERG ANNIVERSARY VOLUME | 2005年 / 160卷

关键词：

Cauchy singular integral equation; projection method; Lagrange interpolation;

D O I：

暂无

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

Some convergent and stable numerical procedures for Cauchy singular integral equations are given. The proposed approach consists of solving the regularized equation and is based on the weighted polynomial interpolation. The convergence estimates are sharp and the obtained linear systems are well conditioned.

引用

页码：311 / 336

页数：26

共 32 条

[1] A FAST ALGORITHM FOR SOLVING THE GENERALIZED AIRFOIL EQUATION [J].