Results 51 to 60 of about 5,570,115 (211)

M-matrices and convergence of finite difference scheme for parabolic equation with integral boundary condition

open access: yesMathematical Modelling and Analysis, 2020
In the paper, the stability and convergence of difference schemes approximating semilinear parabolic equation with a nonlocal condition are considered.
Regimantas Čiupaila   +2 more
doaj   +1 more source

Geometry‐Based Neural‐Network Prediction of Electron Localization Function Topology in Dense Hydrogen

open access: yesChemistry – A European Journal, EarlyView.
We present a machine‐learning framework that predicts the electron localization function (ELF) of dense hydrogen directly from atomic geometry, bypassing explicit electronic‐structure calculations. Trained on ab initio data for fluid hydrogen across multiple pressures, the model achieves high accuracy and reveals pressure‐dependent nonlocal ...
Xiaoyu Wang   +5 more
wiley   +1 more source

A New Spin on Photocatalysis: Vortex Fluidic‐Driven Photooxidations Enabled by Solution‐Processable Microporous Polymers

open access: yesChemistry – A European Journal, EarlyView.
Newly developed polymers with intrinsic microporosity (PIMs) were combined with benzo[c][1,2,5]thiadiazole (BTZ) to be used as visible light photocatalytic coatings on the Vortex Fluidic Device (VFD). The VFD's rapid rotation and continuous flow capabilities enhanced singlet oxygen and superoxide radical reactions, achieving a dramatic eightfold ...
Leonardo Amicosante   +9 more
wiley   +1 more source

Spectral characteristics of a nonlocal problem for two linear systems of partial differential equations

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2017
We study the boundary-value problem for a linear system of differential equations written in the form of differential-operator equations $$ aD_t u(t)+bBu(t)=f(t) $$ with nonlocal boundary conditions at $t$.
Dmitriy V Kornienko
doaj   +1 more source

Investigating the Electrochemical Double Layer with Quantum‐Chemical Simulations and Implicit Solvation Models

open access: yesChemistry – A European Journal, EarlyView.
ESM‐RISM is applied to model electrochemical interfaces and benchmarked against Poisson–Boltzmann and molecular dynamics results. Density profiles, differential capacitance, and adsorption energetics at the gold–electrolyte interface are analyzed, highlighting the capabilities of this implicit electrolyte framework.
Alessandro Mangiameli   +1 more
wiley   +1 more source

Comparison of holographic photopolymer materials by use of analytic nonlocal diffusion models [PDF]

open access: yes, 2002
The one-dimensional diffusion equation governing holographic grating formation in photopolymers, which includes both nonlocal material response and generalized dependence of the rate of polymerization on the illuminating intensity, has been previously ...
Lawrence, Justin R.   +3 more
core   +1 more source

Quantization of Polaritons Confined in Dielectric Structures

open access: yesLaser &Photonics Reviews, EarlyView.
This study addresses the limitations of the Hopfield model of strong light‐matter coupling in the case of structured dieletrics. A method to derive quantum models in the polariton basis using Bogoliubov transformation and third quantization is introduced, demonstrating how to boost interaction strength and engineer nonlocal interactions for strongly ...
Amir Rahmani   +4 more
wiley   +1 more source

From Planar to 3D Nanophotonic Lenses: Advancing Design, Fabrication, and Applications

open access: yesLaser &Photonics Reviews, EarlyView.
Three‐dimensional nanophotonic lenses are enabled by an integrated workflow that links design parameterization, full‐wave electromagnetic simulation, computational optimization, and freeform fabrication. This Review summarizes how these tools expand optical design freedom beyond a single patterned plane by enriching the local meta‐atom response and ...
Wei Zhu   +2 more
wiley   +1 more source

A nonlocal concave-convex problem with nonlocal mixed boundary data

open access: yes, 2018
The aim of this paper is to study a nonlocal equation with mixed Neumann and Dirichlet external conditions. We prove existence, nonexistence and multiplicity of positive energy solutions and analyze the interaction between the concave-convex nonlinearity
Dieb, Abdelrazek   +2 more
core   +1 more source

Remarks on the Nonlocal Dirichlet Problem [PDF]

open access: yes, 2020
Grzywny T, Kaßmann M, Lezaj L. Remarks on the Nonlocal Dirichlet Problem. Potential Analysis. 2020.We study translation-invariant integrodifferential operators that generate Levy processes.
Lezaj, Lukasz   +2 more
core   +1 more source

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