Results 51 to 60 of about 2,483 (203)

A guide to neural ordinary differential equations: Machine learning for data-driven digital engineering

open access: yesDigital Engineering
Advances in deep learning have impacted all areas of business, government and academia, and deep learning is expanding into domains that are beyond the scope of the standard Computer Science curriculum.
Joseph M. Worsham, Jugal K. Kalita
doaj   +1 more source

THE DISCRETE CLASSICAL OPTIMAL CONTROL PROBLEM of A SEMILINEAR PARABOLIC EQUATION (COCP)

open access: yesJournal of Kufa for Mathematics and Computer, 2012
In this paper, the continuous classical optimal control for systems of a semilinear parabolic partial differential equations is described with a equality and inequality state constraints.
Chryssovergh I J, Amir Ali Al-hawasy
doaj   +1 more source

MATHEMATICAL MODEL OF RESONATOR CHAINS IN EXTERNAL MAGNETIC FIELD [PDF]

open access: yesНаучно-технический вестник информационных технологий, механики и оптики, 2018
Subject of Research.The paper considers a spectral problem for chains of weakly coupled ball-shaped resonators under the action of an external magnetic field. Two basic geometries are studied composed of identical resonators: the chain with a single kink
A. S. Melikhova
doaj   +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

Topology optimization for thermal-fluid systems considering maximum temperature constraints

open access: yesNihon Kikai Gakkai ronbunshu
This paper presents a topology optimization method for minimizing power dissipation while constraining the maximum temperature in thermal-fluid systems.
Atsushi KOGUCHI   +3 more
doaj   +1 more source

Kernel Bounds for Parabolic Operators Having First‐Order Degeneracy at the Boundary

open access: yesMathematische Nachrichten, EarlyView.
ABSTRACT We study kernel estimates for parabolic problems governed by singular elliptic operators ∑i,j=1N+1qijDij+cDyy,cγ+1>0,γ=qN+1,N+1,$$\begin{equation*} \sum _{i,j=1}^{N+1}q_{ij}D_{ij}+c\frac{D_y}{y},\qquad \frac{c}{\gamma }+1>0, \quad \gamma =q_{N+1,N+1}, \end{equation*}$$in the half‐space R+N+1={(x,y):x∈RN,y>0}$\mathbb {R}^{N+1}_+=\lbrace (x,y ...
L. Negro, C. Spina
wiley   +1 more source

A Physics‐Informed Koopman Operator Framework for Decentralized Discrete‐Time Sequential Control of a Modular Aerial Parcel Delivery Robot

open access: yesInternational Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT This paper presents a Physics‐Informed Koopman Operator (PIKO) framework integrated with a discrete‐time Sequential Action Control (SAC) for real‐time, decentralized control of a modular aerial parcel delivery robot composed of multiple independently actuated propeller modules.
Archit Krishna Kamath   +2 more
wiley   +1 more source

Geometrical-Feature-Preserving Adjoint Tomography of Near-Surface Structure with Seismic Early Arrival

open access: yesShock and Vibration, 2022
Early arrival waveform inversion (EWI) is an essential approach to obtaining velocity structures in near-surface. Due to suffering from a cycle‐skipping issue, it is difficult to reach the global minima for conventional EWI with the misfit function of ...
Chao Zhang, Cheng Li, Jian Cai
doaj   +1 more source

Optimal Control Analysis of Vertically Transmitted Infectious Diseases With Saturated Incidence and Nonlinear Treatment

open access: yesOptimal Control Applications and Methods, EarlyView.
Schematic representation of the proposed disease transmission model incorporating vertical transmission, saturated incidence, and nonlinear treatment. The study combines theoretical analysis, bifurcation and stability investigations, and optimal control techniques to evaluate prevention and treatment interventions.
Oludolapo A. Olanrewaju   +1 more
wiley   +1 more source

Impact of Weak‐Constraint Four‐Dimensional Variational data assimilation on the prediction of a sudden stratospheric warming event in 2024

open access: yesQuarterly Journal of the Royal Meteorological Society, EarlyView.
The Weak‐Constraint Four‐Dimensional Variational (WC‐4DVAR) system markedly improved the analysis and forecasting of the 2024 sudden stratospheric warming (SSW) event. It reduced biases and enhanced 7–9 day predictions of temperature across the SSW life cycle, with the most pronounced gains for winds also during the critical onset period.
Shaoying Li   +5 more
wiley   +1 more source

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