SINGULAR INTEGRAL-OPERATORS AND SINGULAR QUADRATURE OPERATORS ASSOCIATED WITH SINGULAR INTEGRATED EQUATIONS OF THE FIRST KIND AND THEIR APPLICATIONS

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 | 1995年 / 15卷 / 02期
关键词：
SINGULAR INTEGRAL OPERATORS; SINGULAR QUADRATURE OPERATORS; DISCRETIZATION MATRICES; EXTENSION OPERATORS; COLLOCATION METHOD;
D O I：
10.1016/S0252-9602(18)30043-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we discuss some singular integral operators, singular quadrature operators and discretization matrices associated with singular integral equations of the first kind, and obtain some useful properties for them. Using these operators we give a unified framework for various collocation methods of numerical solutions of singular integral equations of the first kind, which appears very simple.
引用
收藏
页码：219 / 234
页数：16
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