Results 61 to 70 of about 51,978 (203)

The Combined Effects of Variable Viscosity and Thermal Conductivity of An Unsteady Casson Fluid Flow Along a Vertical Porous Channel With Convective Cooling Walls, Using the Bivariate Spectral Local Linearization Method

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This study examines the combined impact of different thermal conductivity and viscosity on unsteady non‐Newtonian Casson fluid flow of incompressible, electrical conductivity in a porous vertical channel with convective cooling walls, uniform magnetic field, and constant pressure gradient.
A. S. Adeyemo, Precious Sibanda, S. P. Goqo   +2 more
wiley   +1 more source

Ellipsoid‐Based Interval‐Type Uncertainty Model Updating Based on Riemannian Manifold and Gaussian Process Model

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT Modern engineering systems require advanced uncertainty‐aware model updating methods that address parameter correlations beyond conventional interval analysis. This paper proposes a novel framework integrating Riemannian manifold theory with Gaussian Process Regression (GPR) for systems governed by Symmetric Positive‐Definite (SPD) matrix ...
Yanhe Tao, Qintao Guo, Jin Zhou, Cheng Yi   +3 more
wiley   +1 more source

Transient Dynamic Analysis of Piezoelectric Solids by the Spectral Integrated Neural Networks With Large Time Steps

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT This study presents a novel neural network architecture called spectral integrated neural networks (SINNs), which combines physics‐informed neural networks (PINNs) with time‐spectral integration techniques to efficiently solve two‐ and three‐dimensional dynamic piezoelectric problems.
Zijie Song, Haodong Ma, Wenzhen Qu, Yan Gu   +3 more
wiley   +1 more source

A PDE-Based Image Restoration Method: Mathematical Analysis and Implementation

In this paper we present an image restoration method based on solving an elliptic partial differential equation (PDE) of the form \begin{equation*} -Δu+λ\,G(u)=f, \end{equation*} where $Δ$ denotes the Laplacian, $G(u)$ is a nonlocal operator (with the Gaussian convolution being a particular example), and $f$ is the degraded image.
openaire   +2 more sources

A Probabilistic Cut Finite Element Method With Random Field Generator and Bayesian Model Calibration for Flow Through Rough Cracks

International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.
ABSTRACT A new model for the simulation of fluid flow through rough cracks is presented. The model combines a probabilistic cut finite element method (PCutFEM) to capture the unfitted boundary condition at the fluid interface, with a stochastic random field generator to represent the crack asperities.
Brubeck Lee Freeman, Evan John Ricketts, Diane Gardner, Anthony Jefferson, Peter John Cleall, Pierre Kerfriden   +5 more
wiley   +1 more source

Moving Horizon Estimation for Al‐Doped ZnO Nanoparticle Synthesis: An Online UV‐vis Spectroscopy Approach

Nano Select, EarlyView.
This study develops a moving horizon estimator for real‐time prediction of AZO nanoparticle properties during sol‐gel synthesis, integrating UV‐vis spectroscopy with a simplified PBE model via DMDc. The method accurately estimates PSD, showing strong agreement with offline data and supporting modern model‐based control to enhance synthesis quality ...
Guohui Yang, Marcel Kévin Jiokeng Dongmo, Thomas Meurer, Hermann Nirschl   +3 more
wiley   +1 more source

Shape maps for second order partial differential equations

, 2015
We analyse the singularity formation of congruences of solutions of systems of second order PDEs via the construction of \emph{shape maps}. The trace of such maps represents a congruence volume whose collapse we study through an appropriate evolution ...
Prince, G. E., Rossi, O., Saunders, D. J.   +2 more
core  

Optimal Adaptive Reinforcement Learning Control for a Convection‐Reaction Distributed Parameter System

Optimal Control Applications and Methods, EarlyView.
Optimal adaptive reinforcement learning control using an actor‐critic architecture. The controller learns optimal control policies online from data measured along the trajectories of a plug flow system ABSTRACT This article is devoted to optimal adaptive control for a distributed parameter convection‐reaction system by reinforcement learning (RL ...
Abdellaziz Binid, Ilyasse Aksikas
wiley   +1 more source

Accurate macroscale modelling of spatial dynamics in multiple dimensions

, 2012
Developments in dynamical systems theory provides new support for the macroscale modelling of pdes and other microscale systems such as Lattice Boltzmann, Monte Carlo or Molecular Dynamics simulators.
Bunder, J. E., MacKenzie, Tony, Roberts, A. J.   +2 more
core  

Mathematical Modeling of Neuroinflammation in Neurodegenerative Diseases

CPT: Pharmacometrics &Systems Pharmacology, EarlyView.
ABSTRACT Age‐related neurodegenerative diseases such as amyotrophic lateral sclerosis (ALS), Alzheimer's disease (AD) and Parkinson's disease (PD) are an increasing public health concern. Whereas the pathology of these diseases is complex, chronic central inflammation, or neuroinflammation, is commonly observed across many neurodegenerative diseases ...
Alex Foster‐Powell, Amin Rostami‐Hodjegan, Guy Meno‐Tetang, Donald E. Mager, Kayode Ogungbenro   +4 more
wiley   +1 more source