| SINGULAR INTEGRAL OPERATORS AND SINGULAR QUADRATURE OPERATORS ASSOCIATED WITH SINGULAR INTEGRAL EQUATIONS OF THE FIRST KIND AND THEIR APPLICATIONS |
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| 引用本文： | 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(B辑英文版),1995(2). |
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| 作者姓名： | 杜金元 |
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| 作者单位： | Department of Mathematics，Wuhan Uniuersity，Wuhan 430072，China. |
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| 摘 要： | ＳＩＮＧＵＬＡＲＩＮＴＥＧＲＡＬＯＰＥＲＡＴＯＲＳＡＮＤＳＩＮＧＵＬＡＲＱＵＡＤＲＡＴＵＲＥＯＰＥＲＡＴＯＲＳＡＳＳＯＣＩＡＴＥＤＷＩＴＨＳＩＮＧＵＬＡＲＩＮＴＥＧＲＡＬＥＱＵＡＴＩＯＮＳＯＦＴＨＥＦＩＲＳＴＫＩＮＤＡＮＤＴＨＥＩＲＡＰＰＬＩＣＡＴＩ...
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SINGULAR INTEGRAL OPERATORS AND SINGULAR QUADRATURE OPERATORS ASSOCIATED WITH SINGULAR INTEGRAL EQUATIONS OF THE FIRST KIND AND THEIR APPLICATIONS |
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| 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,1995(2). |
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| Authors: | Du Jinyuan |
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| Abstract: | In this paper, we discuss some singulal integral operators, singular quadrature operators and discrethation 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. |
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| Keywords: | Singalar interal operators Singular quadrature operators Discretization matrices Extension operators Collocation method |
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