Approximating Cauchy-type singular integral by an automatic quadrature scheme

Eskhuvatov Z.K.; Ahmedov A.; Nik Long N.M.A.; Amalina N.J.

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Approximating Cauchy-type singular integral by an automatic quadrature scheme

机译：通过自动正交方案逼近柯西型奇异积分

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摘要

An automatic quadrature scheme is developed for the approximate evaluation of the product-type indefinite integral Q(f,x,y,c)=∫xyρ(t)K(t,c)f(t)dt,- 1≤x,y≤1,-1

机译：为求积型不确定积分Q（f，x，y，c）=∫xyρ（t）K（t，c）f（t）dt，-1≤x， y≤1，-1

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《Journal of Computational and Applied Mathematics 》 |2011年第16期| 共12页
作者
Eskhuvatov Z.K.; Ahmedov A.; Nik Long N.M.A.; Amalina N.J.;
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正文语种 eng
中图分类计算数学 ;
关键词
An automatic quadrature scheme; Chebyshev polynomials; ClenshawCurtis rules; Indefinite integral; Product integral; Recurrence relation; Singular integral;

机译：自动求积方案;Chebyshev多项式;ClenshawCurtis规则;不定积分;乘积积分;递归关系;奇异积分;

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1. Approximating Cauchy-type singular integral by an automatic quadrature scheme [J] . Eskhuvatov Z.K., Ahmedov A., Nik Long N.M.A., Journal of Computational and Applied Mathematics . 2011 ,第16期

机译：通过自动正交方案逼近柯西型奇异积分
2. Differentiation of Singular Integrals with Piecewise-Continuous Density and Boundary Values of Derivatives of a Cauchy-Type Integral [J] . S. A. Plaksa Ukrainian mathematical journal . 2005 ,第2期

机译：具有分段连续密度和柯西型积分导数的边值的奇异积分的微分
3. Singular integral operators and singular quadrature operators associated with singular integral equations [J] . Du Jinyuan Acta Mathematica Scientia . 1998 ,第2期

机译：与奇异积分方程相关的奇异积分算子和奇异正交算子
4. Solution of the System of Cauchy-type Singular Integral Equations of the First Kind by Third- and Fourth-Kind Chebyshev Polynomials [C] . Hatice Kubra Duru, Elcin Yusufoglu International Conference on Numerical Analysis and Applied Mathematics . 2015

机译：第三种和第四种Chebyshev多项式的第三种和第四种奇异积分方程系统的解决方案
5. Numerical Quadratures for Nearly Singular Integrals in the Three Dimensional Boundary Element Method利用統計を見る [D] . Hayami Ken 1993

机译：三维边界元方法中几乎奇异积分的数值积分
6. THE PLEMELJ FORMULAS WITH UNRESTRICTED APPROACH, AND THE CONTINUITY OF CAUCHY-TYPE INTEGRALS [O] . Frederick Bagemihl 2013

机译：具有不受限制方法的PLEMELJ公式和Cauchy型积分的连续性
7. Approximating Cauchy-type singular integral by an automatic quadrature scheme [O] . Eskhuvatov Z.K., Ahmedov A., Nik Long N.M.A., 2011

机译：通过自动正交方案逼近柯西型奇异积分
8. Numerical Quadrature Methods for Integrals of Singular Periodic Functions and Their Application to Singular and Weakly Singular Integral Equations [R] . Sidi, A., Israeli, M. 1986

机译：奇异周期函数积分的数值求积方法及其在奇异和弱奇异积分方程中的应用

Approximating Cauchy-type singular integral by an automatic quadrature scheme

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