Cauchy singular integral equations in spaces of continuous functions and methods for their numerical solution

被引：45

作者：

Junghanns, P ^{[1
]}

Luther, U ^{[1
]}

机构：

[1] TECH UNIV CHEMNITZ ZWICKAU, FAK MATH, D-09107 CHEMNITZ, GERMANY

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1997年 / 77卷 / 1-2期

关键词：

Cauchy singular integral equation; collocation method; quadrature method; weighted spaces of continuous functions;

D O I：

10.1016/S0377-0427(96)00128-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Cauchy singular integral equations on an interval are studied in weighted spaces of continuous functions. Convergence rates for a general method for their numerical solution are proved in weighted uniform norms. Applications of these results to the collocation method and the quadrature method are given.

引用

页码：201 / 237

页数：37

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