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Rational Transformations for Evaluating Singular Integrals by the Gauss Quadrature Rule
Mathematics, 2020 In this work we introduce new rational transformations which are available for numerical evaluation of weakly singular integrals and Cauchy principal value integrals.
Beong In Yun
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Further convergence results for two quadrature rules for Cauchy type principal value integrals [PDF]
, 1982 summary:New convergence and rate-of-convergence results are established for two well-known quadrature rules for the numerical evaluation of Cauchy type principal value integrals along a finite interval, namely the Gauss quadrature rule and a similar ...
Ioakimidis, Nikolaos I.
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Analysis of Vertical Dynamic Cross Interaction between Adjacent Footings for Railway Tracks through Soil [PDF]
MATEC Web of Conferences, 2019 An efficient semi-analytical method is presented for the vertical analysis of adjacent railway tracks considering the dynamic cross interaction (DCI) effect through the semi-infinite soil medium.
WANG Jue
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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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Molecules, 2023 This research is being conducted to learn more about various compounds and their potential uses in various fields such as renewable energy, electrical conductivity, the study of optoelectronic properties, the use of light-absorbing materials in ...
Fekhra Hedhili +8 more
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Gauss type quadrature rules for Cauchy principal value integrals [PDF]
, 1979 Two quadrature rules for the approximate evaluation of Cauchy principal value integrals, with nodes at the zeros of appropriate orthogonal polynomials, are discussed.
D. F. Paget, David Elliott
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A sinc quadrature subroutine for Cauchy principal value integrals [PDF]
, 1999 A subroutine is presented for the evaluation of Cauchy principal value integrals. Based on a truncated sum of a Sinc function series, with the function evaluated at shifted Sinc points, the subroutine returns an approximation to the integral together ...
P Keast +3 more
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Fast and robust motion averaging via angle constraints of multi‐view range scans
The Journal of Engineering, 2021 The motion averaging problem arises when recovering the motions for a set of scans in three‐dimensional (3D) reconstruction. Motion averaging is taken as an optimisation problem, whose solution can be obtained via matrix decomposition in principal ...
Xin Zhang +3 more
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Frontiers in Materials, 2023 Computational homogenization based on FEM models is the gold standard when it comes to homogenization over a representative volume element (RVE), of so-called complex material microstructures, i.e., such which cannot be satisfactorily represented by an ...
Nabor Jiménez Segura +3 more
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Gauss-Kronrod integration rules for Cauchy principal value integrals [PDF]
, 1983 Kronrod extensions to two classes of Gauss and Lobatto integration rules for the evaluation of Cauchy principal value integrals are derived. Since in one frequently occurring case, the Kronrod extension involves evaluating the derivative of the integrand,
Philip Rabinowitz
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