Results 11 to 20 of about 134,735 (211)

An Error Functional Expansion for N-Dimensional Quadrature with an Integrand Function Singular at a Point [PDF]

open access: yesMathematics of Computation, 1976
Let If be the integral of f ( x → ) f(\vec x) over an N-dimensional hypercube and Q ( m ) f {Q^{(m)}}f be the approximation to If ...
openaire   +4 more sources

Multi-variable integration with a neural network

open access: yesJournal 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
doaj   +1 more source

Nonlinear Volterra Integrodifferential Equations from above on Unbounded Time Scales

open access: yesMathematics, 2023
The paper is devoted to studying the existence, uniqueness and certain growth rates of solutions with certain implicit Volterra-type integrodifferential equations on unbounded from above time scales.
Andrejs Reinfelds, Shraddha Christian
doaj   +1 more source

Semi-classical Dynamical Triangulations [PDF]

open access: yes, 2012
For non-critical string theory the partition function reduces to an integral over moduli space after integrating over matter fields. The moduli integrand is known analytically for genus one surfaces.
Ambjorn, Jan, Budd, Timothy G.
core   +1 more source

Isoperimetric and Functional Inequalities

open access: yesМоделирование и анализ информационных систем, 2018
We establish lower estimates for an integral functional$$\int\limits_\Omega f(u(x), \nabla u(x)) \, dx ,$$where \(\Omega\) -- a bounded domain in \(\mathbb{R}^n \; (n \geqslant 2)\), an integrand \(f(t,p) \, (t \in [0, \infty),\; p \in \mathbb{R}^n)\) --
Vladimir S. Klimov
doaj   +1 more source

Nonstandard optimal control problem: case study in an economical application of royalty problem

open access: yesIJAIN (International Journal of Advances in Intelligent Informatics), 2019
This paper's focal point is on the nonstandard Optimal Control (OC) problem. In this matter, the value of the final state variable, y(T) is said to be unknown.
Wan Noor Afifah Wan Ahmad   +6 more
doaj   +1 more source

Challenging the Curse of Dimensionality in Multidimensional Numerical Integration by Using a Low-Rank Tensor-Train Format

open access: yesMathematics, 2023
Numerical integration is a basic step in the implementation of more complex numerical algorithms suitable, for example, to solve ordinary and partial differential equations.
Boian Alexandrov   +4 more
doaj   +1 more source

Properties of Laplace-Stieltjes-type integrals

open access: yesМатематичні Студії, 2023
The properties of Laplace-Stieltjes-type integrals $I(r)=\int_{0}^{\infty}a(x)f(xr)dF(x)$ are studied, where $F$ is a non-negative non-decreasing unbounded continuous on the right function on $[0,\,+\infty)$, $f(z)=\sum_{k=0}^{\infty}f_kz^k$ is an entire
M. M. Sheremeta
doaj   +1 more source

An analysis of the integrand occurring in correlation energy functionals [PDF]

open access: yesInternational 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
openaire   +2 more sources

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