Numerical evaluation of Cauchy principal value integrals with singular integrands [PDF]
Mathematics of Computation, 1990 Convergence results are proved for sequences of interpolatory integration rules for Cauchy principal value integrals of the form \[ ∮
Philip Rabinowitz
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Generalized noninterpolatory rules for Cauchy principal value integrals [PDF]
Mathematics of Computation, 1990 Consider the Cauchy principal value integral \[ I ( k f ;
Philip Rabinowitz
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Uniform approximation to Cauchy principal value integrals with logarithmic singularity [PDF]
Journal of Computational and Applied Mathematics, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Takemitsu Hasegawa, Hiroshi Sugiura
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Nested quadrature rules for Cauchy principal value integrals [PDF]
Journal of Computational and Applied Mathematics, 1989 Starting from ideas of \textit{G. Monegato} [Computing 29, 337-354 (1982; Zbl 0485.65017)] and \textit{P. Rabinowitz} [Math. Comput. 41, 63-78 (1983; Zbl 0545.65012)], the author builds new cubature formulae to numerically evaluate integrals of Cauchy type \(\int^{b}_{a}f(x)/(x-\lambda)dx\), \(-\infty
Palamara Orsi, Annamaria
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Asymptotic behaviour of fixed-order error constants of modified quadrature formulae for Cauchy principal value integrals [PDF]
Journal of Inequalities and Applications, 2000 We consider quadrature formulae for Cauchy principal value integrals The quadrature formulae considered here are so-called modified formulae, which are obtained by first subtracting the singularity, and then applying some standard quadrature formula ...
Diethelm Kai, Köhler Peter
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A Class of Quadrature Rules for Complex Cauchy Principal Value Integrals [PDF]
International Journal of Mathematical, Engineering and Management Sciences, 2023 This article is fully devoted to the numerical approximation of Cauchy-type integrals in the complex plane. A class of degree eight quadrature rules is formulated from a family of Gauss-type two-point rules based on the method of extrapolation. The basic
Arup Kumar Saha +2 more
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TWO LOW-ORDER METHODS FOR THE NUMERICAL EVALUATION OF CAUCHY PRINCIPAL VSlLUE INTEGRALS OF OSCILLATORY KIND [PDF]
Journal of Sciences, Islamic Republic of Iran, 2000 In this paper, we develop two piecewise polynomial methods for the numerical evaluation of Cauchy Principal Value integrals of oscillatory kind. The two piecewisepolynomial quadratures are compact, easy to implement, and are numerically stable.
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Surveys in Mathematics and its Applications, 2021 The Hilbert transform is essentially the only singular operator in one dimension. This undoubtedly make it one of the most important linear operator in harmonic analysis.
Edisson Arley Arcos +1 more
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Radial basis functions for solving the singular boundary integral equation of the compressible fluid flow around obstacles [PDF]
ITM Web of Conferences, 2020 In this paper we find a numerical solution for the Singular Boundary Integral Equation (SBIE), with sources distribution, of the compressible fluid flow around obstacles.
Grecu Luminiţa
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OPERATOR METHOD IN THE PROBLEM OF THE H-POLARIZED WAVE DIFFRACTION BY TWO SEMI-INFINITE GRATINGS PLACED IN THE SAME PLANE [PDF]
Radio Physics and Radio Astronomy, 2021 Purpose: Problem of the H-polarized plane wave diffraction by the structure, which consists of two semi-infinite strip gratings, is considered. The gratings are placed in the same plane. The gap between the gratings is arbitrary. The purpose of the paper
M. E. Kaliberda +2 more
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