Results 21 to 30 of about 488 (225)
Journal of Applied Mathematics, 2013 The (Cauchy) principal value is a method for assigning values to certain improper integrals which would otherwise be undefined. Using the principal value sense, this study derives an explicit expression of the first negative moment of skew-t and ...
Chien-Yu Peng
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Principal values for the Cauchy integral and rectifiability [PDF]
Proceedings of the American Mathematical Society, 2000 We give a geometric characterization of those positive finite measures μ \mu
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Extrapolation Algorithm for Computing Multiple Cauchy Principal Value Integrals [PDF]
Mathematical Problems in Engineering, 2020 In this paper, the computation of multiple (including two dimensional and three dimensional) Cauchy principal integral with generalized composite rectangle rule was discussed, with the density function approximated by the middle rectangle rule, while the singular kernel was analytically calculated.
Jin Li, Yongling Cheng
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On integral equations with Weakly Singular kernel by using Taylor series and Legendre polynomials
Open Physics, 2015 This paper is concerned with the numerical solution for a class of weakly singular Fredholm integral equations of the second kind. The Taylor series of the unknown function, is used to remove the singularity and the truncated Taylor series to second ...
Babolian Esmail +4 more
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Uniform convergence results for Cauchy principal value integrals [PDF]
Mathematics of Computation, 1991 A general uniform convergence theorem for numerical integration of Cauchy principal value integrals is proved. Seven special instances of this theorem are given as corollaries.
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Journal of Numerical Analysis and Approximation Theory, 1983 It is shown how the construction of Gaussian quadrature rules for Cauchy type principal value integrals, as well as for finite-part integrals with an algebraic singularity, can be based on the theory of Gaussian quadrature rules for ordinary integrals ...
N. I. Ioakimidis
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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 ;
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International Journal of Mathematics and Mathematical Sciences, 1983 A numerical technique, first reported in 1979 in refs.[1] and [2], for the numerical evaluation of two-dimensional Cauchy-type principal-value integrals, is extended in this paper to include several cubature formlas of the Radau and Lobatto types.
P. S. Theocaris
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On quadrature for Cauchy principal value integrals of oscillatory functions
Journal of Computational and Applied Mathematics, 2003 Based on a quadrature suggested by \textit{G. E. Okecha} [Math. Comput. 49, 259--268 (1987; Zbl 0634.65013)] the authors deal with the numerical evaluation of Cauchy principal value integrals \[ H^\omega(g; t)= \lim_{\varepsilon\to 0^+}\,\int_{| x-t|\geq \varepsilon} {g(x)\over x- t} e^{i\omega x} \,dx\qquad (t\in (-1,1)).
M. R. CAPOBIANCO, CRISCUOLO, GIULIANA
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Advanced Engineering Materials, EarlyView.Functionally graded metal–ceramic femoral stems are engineered through continuous UMAT‐based stiffness tailoring, eliminating discrete material interfaces while enhancing biomechanical compatibility. Low‐index power‐law gradation optimizes load transfer, reduces stress shielding, and controls implant–bone micromotion, highlighting a materials‐design ...
Rihem Nouira, Sameh Elleuch, Hanen Jrad
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