Results 1 to 10 of about 3,827 (162)
An Error Functional Expansion for N-Dimensional Quadrature with an Integrand Function Singular at a Point [PDF]
Mathematics of Computation, 1976 Let If be the integral of f ( x
J N Lyness
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Error estimation for n-th order Filon quadrature formula
Lietuvos Matematikos Rinkinys, 2023 In this paper the error estimation for n-th order Filon quadrature formula is discussed.
Kostas Plukas, Danutė Plukienė
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An inverse problem for generalized Radon transformation
St. Petersburg Polytechnical University Journal: Physics and Mathematics, 2022 The paper studies the problem of inverting the integral transformation of Radon, whose formula, under traditional restrictions, gives the integrand values at any point. For the case when such a function is discontinuous and depends not only on the points
Anikonov Dmitry +2 more
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Gaussian quadrature of integrands involving the error function [PDF]
Mathematics of Computation, 1980 Orthogonal polynomials corresponding to the weight function 1 −
Vigneron, Jean-Pol, Lambin, Philippe
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An analysis of the integrand occurring in correlation energy functionals [PDF]
International Journal of Quantum Chemistry, 1994 AbstractAn analysis of the integrand occurring in current density functional calculations is presented, concentrating attention on correlation energy functionals and the atomic regions, i.e., the regions of space surrounding atomic centers. The analysis follows the structure of a previously proposed numerical integration scheme for three‐dimensional ...
FORTUNELLI A, SALVETTI O
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Asymptotically accurate error estimates of exponential convergence for the trapezoidal rule
Discrete and Continuous Models and Applied Computational Science, 2021 In many applied problems, efficient calculation of quadratures with high accuracy is required. The examples are: calculation of special functions of mathematical physics, calculation of Fourier coefficients of a given function, Fourier and Laplace ...
Aleksandr A. Belov +1 more
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Truncation error estimation for Newton–Cotes quadrature formulas
Lietuvos Matematikos Rinkinys, 2004 Theoretical and practical aspects of truncation error estimation for Newton–Cotes quadrature formulas are discussed in this paper.
Kostas Plukas, Danutė Plukienė
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Non-planar data of N $$ \mathcal{N} $$ = 4 SYM
Journal of High Energy Physics, 2020 The four-point function of length-two half-BPS operators in N $$ \mathcal{N} $$ = 4 SYM receives non-planar corrections starting at four loops. Previous work relied on the analysis of symmetries and logarithmic divergences to fix the integrand up to four
Thiago Fleury, Raul Pereira
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A Fourier Analysis Based New Look at Integration
Annales Mathematicae Silesianae, 2023 We approach the problem of integration for rough integrands and integrators, typically representing trajectories of stochastic processes possessing only some Hölder regularity of possibly low order, in the framework of para-control calculus.
Imkeller Peter, Perkowski Nicolas
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Multi-variable integration with a neural network
Journal of High Energy Physics, 2023 In this article we present a method for automatic integration of parametric integrals over the unit hypercube using a neural network. The method fits a neural network to the primitive of the integrand using a loss function designed to minimize the ...
D. Maître, R. Santos-Mateos
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