Results 21 to 30 of about 4,846 (246)
Using Neural Networks for Fast Numerical Integration and Optimization
IEEE Access, 2020 We present a novel numerical integration technique, Neural Network Integration, or NNI, where shallow neural network design is used to approximate an integrand function within a bounded set. This function approximation is such that a closed-form solution
Steffan Lloyd +2 more
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Integrals with two-variable generating function in the integrand
Montes Taurus journal of pure and applied mathematics, 2021 The main motive of this study is to present a new class of generalized integral formulae which involve a generating function of two variables G(u, x). By this approach we deduce a set of new outcomes, which are integrals associated with generalized hypergeometric function, Laguerre, Hermite and Bessel polynomials, Kampe de Feriet hypergeometric series ...
Ali, Musharraf +2 more
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Rearrangement inequalities for functionals with monotone integrands
Journal of Functional Analysis, 2006 20 pages.
Burchard, Almut, Hajaiej, Hichem
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A fast algorithm for computing the Boys function
, 2021 We present a new fast algorithm for computing the Boys function using a nonlinear approximation of the integrand via exponentials. The resulting algorithms evaluate the Boys function with real and complex valued arguments and are competitive with ...
Beylkin, Gregory, Sharma, Sandeep
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Regularity for nonlinear elliptic equations and systems
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2020 We study the regularity of weak solutions to the elliptic system in divergence form divA(x, Du)=0 in an open set Ω of R^n, n≥2. The vector field A(x.ξ), A: Ω×R^(m×n)→R^(m×n), has a variational nature in the sense that A(x,ξ)= Dξ f(x,ξ), where f:Ω×R^(m×n)→
Paolo Marcellini
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, 1980 In a previous paper by Lyness, an asymptotic expansion for the quadrature error functional for the n-dimensional simplex, valid when the integrand is an analytic function, was given. In this paper we develop the analogue of this result to cover the cases
G. Monegato, J. N. Lyness
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Epi-Convergence of Expectation Functions under Varying Measures and Integrands
, 2022 For expectation functions on metric spaces, we provide sufficient conditions for epi-convergence under varying probability measures and integrands, and examine applications in the area of sieve estimators, mollifier smoothing, PDE-constrained optimization, and stochastic optimization with expectation constraints.
Feinberg, Eugene A. +2 more
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On Some New Integrals Relation of ഥ -function [PDF]
, 2020 In this paper we derive some new integrals whose integrand contains product of Horn's function and ܪ ഥ -function of one ...
Shukla Manoj Kumar +3 more
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On the best possible description of an exceptional set in asymptotic estimates for Laplace–Stieltjes integrals [PDF]
Математичні Студії, 2011 For the Laplace–Stieltjes integrals new description of the exceptional set in asymptotic upper estimates in terms of the maximum of the integrand function is obtained.
O. B. Skaskiv, D. Yu. Zikrach
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A relaxation result in BV for integral functionals with discontinuous integrands [PDF]
ESAIM: Control, Optimisation and Calculus of Variations, 2007 Summary: We prove a relaxation theorem in BV for a non coercive functional with linear growth. No continuity of the integrand with respect to the spatial variable is assumed.
AMAR, Micol +2 more
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