Results 1 to 10 of about 3,723 (146)

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, Balakina Ekaterina, Konovalova Dina   +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 − erf ( x ) 1 - {\operatorname {erf}}(x) and defined on the positive real axis are constructed. Abscissas and weight factors for the associated Gaussian quadrature are then deduced (up to 12-point formulas).
Vigneron, Jean-Pol, Lambin, Philippe
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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, Valentin S. Khokhlachev   +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
doaj   +3 more sources

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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Deterministic homogenization of integral functionals with convex integrands [PDF]

Nonlinear Differential Equations and Applications NoDEA, 2010
The authors develop a framework adapted to the homogenization of problems involving integral functionals and based on the concept of \(H\)-algebra. The generic problem is written as \(\min \{F_\varepsilon(v):v\in W_0^{1,p}(\Omega ;\mathbb R^n)\}\) where the functional \(F_\varepsilon\) is defined on \(W_{0}^{1,p}(\Omega ;\mathbb R^{n})\) by \(F_ ...
Nguetseng, Gabriel, Nnang, Hubert, Woukeng, Jean Louis   +2 more
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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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Convergence rates for regularization functionals with polyconvex integrands [PDF]

Inverse Problems, 2017
15 pages, no ...
Kirisits, Clemens, Scherzer, Otmar
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