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

数学物理学报(英文版) ›› 1995, Vol. 15 ›› Issue (2): 219-234.

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

杜金元

Department of Mathematics, Wuhan University, Wuhan 430072, China

收稿日期:1994-01-28 修回日期:1994-03-22 出版日期:1995-06-25 发布日期:1995-06-25
基金资助:
Project supported by the Natural Science Funds of the National Committee of Science and Technology end the Funds of the State Education Commission of China.

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

Du Jinyuan

Department of Mathematics, Wuhan University, Wuhan 430072, China

Received:1994-01-28 Revised:1994-03-22 Online:1995-06-25 Published:1995-06-25
Supported by:
Project supported by the Natural Science Funds of the National Committee of Science and Technology end the Funds of the State Education Commission of China.

摘要/Abstract

摘要： In this paper, we discuss some singulal 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 fine kind, which appears very simple.

关键词: Singalar interal operators, Singular quadrature operators, Discretization matrices, Extension operators, Collocation method

Abstract: In this paper, we discuss some singulal 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 fine kind, which appears very simple.

Key words: Singalar interal operators, Singular quadrature operators, Discretization matrices, Extension operators, Collocation method

杜金元. SINGULAR INTEGRAL OPERATORS AND SINGULAR QUADRATURE OPERATORS ASSOCIATED WITH SINGULAR INTEGRAL EQUATIONS OF THE FIRST KIND AND THEIR APPLICATIONS[J]. 数学物理学报(英文版), 1995, 15(2): 219-234.

Du Jinyuan. SINGULAR INTEGRAL OPERATORS AND SINGULAR QUADRATURE OPERATORS ASSOCIATED WITH SINGULAR INTEGRAL EQUATIONS OF THE FIRST KIND AND THEIR APPLICATIONS[J]. Acta mathematica scientia,Series B, 1995, 15(2): 219-234.

[1]	杨银, 陈艳萍, 黄云清. CONVERGENCE ANALYSIS OF THE JACOBI SPECTRAL-COLLOCATION METHOD FOR FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS[J]. 数学物理学报(英文版), 2014, 34(3): 673-690.
[2]	杜金元. THE COLLOCATION METHODS FOR SINGULAR INTEGRAL EQUATIONS WITH CAUCHY KERNELS[J]. 数学物理学报(英文版), 2000, 20(3): 289-302.
[3]	杜金元. SINGULAR INTEGRAL OPERATORS AND SINGULAR QUADRATURE OPERATORS ASSOCIATED WITH SINGULAR INTEGRAL EQUATIONS[J]. 数学物理学报(英文版), 1998, 18(2): 227-240.

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

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

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