Results 61 to 70 of about 1,923 (159)

Local Polynomial Regression and Filtering for a Versatile Mesh‐Free PDE Solver

open access: yesInternational Journal for Numerical Methods in Fluids, Volume 98, Issue 7, Page 804-839, July 2026.
A high‐order, mesh‐free finite difference method for solving differential equations is presented. Both derivative approximation and scheme stabilisation is carried out by parametric or non‐parametric local polynomial regression, making the resulting numerical method accurate, simple and versatile. Numerous numerical benchmark tests are investigated for
Alberto M. Gambaruto
wiley   +1 more source

Stability of a Fully Discrete Local Discontinuous Galerkin Method for the Generalized Benjamin–Ono Equation

open access: yesNumerical Methods for Partial Differential Equations, Volume 42, Issue 4, July 2026.
ABSTRACT The main purpose of this paper is to design a fully discrete local discontinuous Galerkin (LDG) scheme for the generalized Benjamin–Ono equation. First, we prove the L2$$ {L}^2 $$‐stability for the proposed semi‐discrete LDG scheme and obtained a suboptimal order of convergence for power nonlinear flux.
Mukul Dwivedi, Tanmay Sarkar
wiley   +1 more source

Numerical simulation of hybrid nanofluid flow with homogeneous and heterogeneous chemical reaction across an inclined permeable cylinder/plate

open access: yesEnergy Exploration & Exploitation
The current study investigates the steady two-dimensional (2D) hybrid nanofluid (Hnf) flow over an inclined permeable plate/cylinder. The Hnf flow has been examined in the context of mixed convection, heterogeneous/homogenous chemical reaction, and ...
Sidra Jubair   +4 more
doaj   +1 more source

Numerical Modeling of Tank Cars Carrying Hazardous Materials With and Without Composite Metal Foam

open access: yesAdvanced Engineering Materials, Volume 28, Issue 11, 3 June 2026.
Large‐scale puncture models consisting of hazardous materials (HAZMATs) tank car with protective steel–steel composite metal foam (S–S CMF) are solved numerically. Tank car plate with added 10.91–13.33 mm thick S–S CMF layer does not puncture. Protective S–S CMF absorbs impact energy, reduces plate deformation, and prevents shear bands formation ...
Aman Kaushik, Afsaneh Rabiei
wiley   +1 more source

Physical Implementation of Optical Material‐Based Neural Networks Processing Enabled by Long‐Persistent Luminescence

open access: yesAdvanced Science, Volume 13, Issue 31, 4 June 2026.
This study reports on the physical implementation of optical material‐based neural processing using long‐persistent luminescence as memory‐retention and nonlinear optical material. The system performs optical‐domain preprocessing with opto‐electronic interfaces for stimulus delivery and readout, enabling real‐time demonstrations including Pong gameplay
Sangwon Wi, Yunsang Lee
wiley   +1 more source

Analytical Investigation of Laminar Viscoelastic Fluid Flow over a Wedge in the Presence of Buoyancy Force Effects

open access: yesAbstract and Applied Analysis, 2014
An analytical strong method, the homotopy analysis method (HAM), is employed to study the mixed convective heat transfer in an incompressible steady two-dimensional viscoelastic fluid flow over a wedge in the presence of buoyancy effects.
B. Rostami   +4 more
doaj   +1 more source

Monitoring and control of a continuous, integrated filtration‐drying system with in‐line mass spectrometry via PharmaPy

open access: yesAIChE Journal, Volume 72, Issue 6, June 2026.
Abstract This article demonstrates the integration of in‐line mass spectrometry as a process analytical technology (PAT) tool with model‐based soft sensors in a continuous filtration‐drying carousel system for solid–liquid separation (SLS) of crystal slurries.
Inyoung Hur   +3 more
wiley   +1 more source

Addressing Small Data Challenges in Biopharmaceutical Development and Manufacturing: A Mini Review of Multi‐Fidelity Techniques

open access: yesBiotechnology and Bioengineering, Volume 123, Issue 6, Page 1465-1480, June 2026.
ABSTRACT The growing demand for biopharmaceutical products reflects their effectiveness in medical treatments. However, developing new biopharmaceuticals remains a major bottleneck, often taking up to a decade before market approval. Machine learning (ML) models have the potential to accelerate this process, but their success depends on access to large
Mohammad Golzarijalal   +2 more
wiley   +1 more source

A Pseudo‐Two‐Dimensional Reaction–Diffusion Model for Rational Design of Antibacterial–Antioxidant Ag–ZnO/Fucoidan Nanocomposites

open access: yesEngineering Reports, Volume 8, Issue 6, June 2026.
A pseudo‐two‐dimensional (P2D) reaction–diffusion framework is proposed to model reactive oxygen species (ROS) generation, transport, and scavenging in Ag–ZnO/Fucoidan nanocomposites. Spatially segregated ROS source (Ag–ZnO) and sink (fucoidan) domains are embedded into a one‐dimensional computational model, capturing nonlinear feedback between site ...
Mohamed Abu Shuheil   +8 more
wiley   +1 more source

Accelerated pseudo-transient method for elastic, viscoelastic, and coupled hydromechanical problems with applications [PDF]

open access: yesGeoscientific Model Development
The accelerated pseudo-transient (APT) method is a matrix-free approach used to solve partial differential equations (PDEs), characterized by its reliance on local operations, which makes it highly suitable for parallelization.
Y. Alkhimenkov, Y. Y. Podladchikov
doaj   +1 more source

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