Results 11 to 20 of about 3,790 (213)

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

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

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

On duality of color and kinematics in (A)dS momentum space

open access: yesJournal of High Energy Physics, 2021
We explore color-kinematic duality for tree-level AdS/CFT correlators in momentum space. We start by studying the bi-adjoint scalar in AdS at tree-level as an illustrative example.
Soner Albayrak   +2 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

Using Neural Networks for Fast Numerical Integration and Optimization

open access: yesIEEE 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
doaj   +1 more source

Rearrangement inequalities for functionals with monotone integrands

open access: yesJournal of Functional Analysis, 2006
20 pages.
Burchard, Almut, Hajaiej, Hichem
openaire   +3 more sources

Epi-Convergence of Expectation Functions under Varying Measures and Integrands

open access: yes, 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
openaire   +3 more sources

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