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Computing the Singular Behavior of Solutions of the Cauchy Singular IntegralEquations

机译：计算Cauchy奇异积分方程解的奇异行为

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摘要

Stenger's formula for numerical computation of principal value integrals is usedto determine the singular behavior of solutions of homogeneous Cauchy singular integral equations near the end-points of the domain of integration.

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作者
Srivastav, R. P.;
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年度 1992
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总页数 5
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Integral equations; Cauchy problem; Computations; Integrals; Value; Numericalintegration; Boundary value problems; Problem solving; Reprints; Partial differential equations;

机译：积分方程; Cauchy问题;计算;积分;值;数值积分;边值问题;问题解决;重印;偏微分方程;

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专利

1. A quadrature method for a Cauchy singular integral equation with weakly singular solution [J] . CHANDLER G.A., SCHNEIDER C., WEILBAECHER B. Zeitschrift fur Angewandte Mathematik und Mechanik . 1995,第S2期

机译：具有弱奇异解的柯西奇异积分方程的求积方法
2. Very singular solution and short time asymptotic behaviors of nonnegative singular solutions for heat equation with nonlinear convection [J] . Guofu Lu Journal of Differential Equations . 2017,第12期

机译：具有非线性对流的热方程中非负奇异解的非常奇异的解决方案和短时渐近性行为
3. ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF A SINGULAR CAUCHY PROBLEM FOR A FUNCTIONAL-DIFFERENTIAL EQUATION [J] . A. E. Zernov, O. R. Chaichuk Journal of Mathematical Sciences . 2009,第1期

机译：泛函微分方程奇异Cauchy问题解的渐近行为
4. The High Accuracy Algorithm for Cauchy Singular Integral and Cauchy Singular Integral Equation [C] . Zeng Guang, Huang Jin, Jia Hong-yan 2010 4th International Conference on Bioinformatics and Biomedical Engineering . 2010

机译：Cauchy奇异积分和Cauchy奇异积分方程的高精度算法
5. Existence and singularity of solutions for Cauchy problems of some partial differential equations. [D] . Song, Kyungwoo. 2002

机译：一类偏微分方程柯西问题解的存在性和奇异性。
6. A Singular Abstract Cauchy Problem [O] . J. A. Donaldson 1970

机译：一个奇异的抽象柯西问题
7. Computing the singular behavior of solutions of Cauchy singular integral equations with variable coefficients [O] . Li J., Srivastav R.P. 1997

机译：计算变系数柯西奇异积分方程解的奇异行为
8. SINGULAR INTEGRALS AND SINGULAR INTEGRAL EQUATIONS WITH A CAUCHY KERNEL AND THE METHOD OF SYMMETRIC PAIRING [R] . Erwin H. Bareiss, Charles P. Neuman 1965

机译：具有CaUCHY核的奇异积分和奇异积分方程及对称配对方法

Computing the Singular Behavior of Solutions of the Cauchy Singular IntegralEquations

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