Results 191 to 200 of about 488 (225)
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Numerical evaluation of cauchy principal values of integrals
BIT Numerical Mathematics, 1970Gaussian quadrature rules for the evaluation of Cauchy principal values of integrals are considered, their relation with Gauss-Legendre formulas is studied, and they are compared with other rules.
Robert Piessens, Piessens Robert
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On the numerical evaluation of derivatives of Cauchy principal value integrals
Computing (Vienna/New York), 1981Quadrature rules for the approximate evaluation of derivatives of Cauchy principal value integrals (with respect to the free variable inside the integral) can be obtained by formal differentiations of the right sides of the corresponding quadrature rules (without derivatives). The justification of this method, under appropriate conditions, is presented
Nikolaos Ioakimidis, Ioakimidis N I
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International Journal for Numerical Methods in Engineering, 1997
Summary: The mathematical foundations of the application of nonlinear transformations to the numerical integration of weakly singular and Cauchy Principal Value (CPV) integrals are revised in this paper. This approach was firstly introduced to compute the singular kernels appearing in the Boundary Element Method (BEM) for 2-D (two-dimensional) problems.
M Doblare
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Summary: The mathematical foundations of the application of nonlinear transformations to the numerical integration of weakly singular and Cauchy Principal Value (CPV) integrals are revised in this paper. This approach was firstly introduced to compute the singular kernels appearing in the Boundary Element Method (BEM) for 2-D (two-dimensional) problems.
M Doblare
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Uniform approximations to Cauchy principal value integrals of oscillatory functions
Applied Mathematics and Computation, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Haiyong Wang, Shuhuang Xiang
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Numerical analysis for Cauchy principal value integrals of oscillatory kind
International Journal of Computer Mathematics, 2012In this paper, a new quadrature of Cauchy principal value integrals of the form has been discussed, where f(x) is a given smooth function, ω∈R may be large and ...
Ruyun Chen
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The numerical evaluation of one-dimensional Cauchy principal value integrals
Computing (Vienna/New York), 1982In this paper we examine the numerical integration (in the Cauchy principal value sense) of functions having (several) first order real poles. We give a survey of results concerning some quadrature formulas of interpolatory type proposed by Delves, Hunter, Elliott and Paget, and several other authors; along with the description we present some minor ...
G Monegato, Monegato G
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Gauss quadrature rules for Cauchy principal value integrals with wavelets
Applied Mathematics and Computation, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ke'An Chen
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Computation of the roots of cauchy type principal value integrals
International Journal of Computer Mathematics, 1984A new method for the computation of the roots of Cauchy type principal value integrals (inside the integration interval) is proposed.
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Quadrature formulas for cauchy principal value integrals
Computing, 1975Quadrature formulas of the Clenshaw-Curtis type, based on the “practical” abscissasx k=cos(kπ/n),k=0(1)n, are obtained for the numerical evaluation of Cauchy principal value integrals $$\int\limits_{ - 1}^1 {(x - a)^{ - 1} } f(x) dx, - 1< a< 1$$ .
M. M. Chawla, N. Jayarajan
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