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
收藏
页码：201 / 237
页数：37
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