The collocation methods for singular integral equations with Cauchy kernels

被引：4

作者：

Du, JY ^{[1
]}

机构：

[1] Wuhan Univ, Dept Math, Wuhan 430072, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2000年 / 20卷 / 03期

关键词：

direct collocation methods; indirect collocation methods; coincidence technique;

D O I：

10.1016/S0252-9602(17)30636-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper applies the singular integral operators, singular quadrature operators and discretization matrices associated with singular integral equations with Cauchy kernels, which are established in [1], to give a unified framework for various collocation methods of numerical solutions of singular integral equations with Cauchy kernels. Under the framework, the coincidence of the direct quadrature method and the indirect quadrature method is very simple and obvious.

引用

页码：289 / 302

页数：14

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