Results 71 to 80 of about 1,586 (147)

Inductive Differential Constraint Method: Symbolic Regression‐Based Partial Differential Equation Regularization for Fatigue Crack Growth Prediction

International Journal for Numerical Methods in Engineering, Volume 127, Issue 15, 15 August 2026.
ABSTRACT This study introduces the inductive differential constraint method (IDCM), a data‐informed structural regularization framework that enhances neural network predictions under data‐scarce regimes by enforcing invariant differential structures extracted from simulation data.
Rekisei Ozawa, Yoshitaka Wada
wiley   +1 more source

Numerical and Experimental Assessment of Oxygen Distribution in a Perfusion Bioreactor to Mimic the Osteochondral Niche

Biotechnology and Bioengineering, Volume 123, Issue 8, Page 2139-2152, August 2026.
ABSTRACT Oxygen supply is a critical parameter in 3D cell cultivation using bioreactors. Since bioreactor designs often prioritise practical constraints, understanding the oxygen supply dynamics of the media is crucial for achieving either uniform or spatially controlled oxygen delivery.
Franziska Alt, Eric Langner, Hans‐Peter Wiesmann, Thomas Wallmersperger, Benjamin Kruppke   +4 more
wiley   +1 more source

A Mathematical Model for Chemo‐Mechanically Induced Collective Cell Motility on Planar Elastic Substrates

International Journal for Numerical Methods in Biomedical Engineering, Volume 42, Issue 8, August 2026.
Mechanically induced cell motility is simulated using strain energy density gradients in a planar elastic substrate generated by cellular traction forces. Green's function and Duhamel's principle are used to solve a diffusion equation describing the distribution of a growth factor and representing chemo‐mechanically induced deterministic collective ...
Riham K. Ahmed, Tamer Abdalrahman, Neil H. Davies, Fred Vermolen, Thomas Franz   +4 more
wiley   +1 more source

Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic

Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.
ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley   +1 more source

A Lightweight and Erudite Automated BiLSTM‐Based Multi‐Cycle GAN for Retinal Blood Vessel and Optic Disc Segmentation in Fundus Images

Engineering Reports, Volume 8, Issue 8, August 2026.
This graphical abstract presents a lightweight and automated BiLSTM‐based Multi‐Cycle GAN framework for retinal blood vessel and optic disc segmentation in fundus images. Initially, fundus images undergo preprocessing, including green channel extraction, denoising, resizing, and dataset splitting.
Rasmita Kumari Mohanty, Amaravarapu Pramod Kumar, Yuvaraju Macha, Agraharam Siva Kumar, J. Srinivas, G. Shyama Chandra Prasad, Rajesh Kumar Verma, Shashi Kant   +7 more
wiley   +1 more source

Stochastic and Statistical Analysis of Cnoidal, Snoidal, Dnoidal, Hyperbolic, Trigonometric and Exponential Wave Solutions of a Coupled Volatility Option-Pricing System. [PDF]

Entropy (Basel)
Abdalgadir LM, Ahmad S, Youniso B, Aldwoah K.   +3 more
europepmc   +1 more source

Modeling and Analysis of Nonlinear Radiative and Electromagnetic Effects With Second‐Order Slip in Unsteady Hybrid Nanofluid Flow Past a Porous Stretching Surface

Engineering Reports, Volume 8, Issue 8, August 2026.
The current work examines the dynamics of the stagnation point flow of an unsteady hybrid nanofluid (Fe2O3–Cu/H2O) across an inclined porous stretching surface. It considers heat transfer, second‐order slip, electrical field, heat source/sink, mixed convection, and magnetic field effects, as well as linear and nonlinear radiation.
Mazhar Hussain, Sadia Hameed, Muhammad Zohaib Hanif, Mubashir Qayyum, Saraswati Acharya   +4 more
wiley   +1 more source

Implementing physics-informed neural networks with deep learning for differential equations. [PDF]

Front Artif Intell
Emmert-Streib F, Tripathi S, Farea A, Holzinger A.   +3 more
europepmc   +1 more source

Fast Calculation for the Flow and Heat Transfer of Tempered Fractional Maxwell Viscoelastic Fluid

International Journal for Numerical Methods in Fluids, Volume 98, Issue 8, Page 969-979, August 2026.
This study develops a tempered fractional Maxwell model to simulate unsteady thermal flow in viscoelastic fluids, capturing key rheological behaviors. A fast SOE‐based algorithm is proposed to improve the computational efficiency of the numerical scheme. Results reveal how key parameters influence fluid motion and heat transfer, demonstrating the model'
Yi Liu, Mochen Jiang, Libo Feng
wiley   +1 more source

Exploring the exact solutions of the Kuramoto-Sivashinsky equation with advection noise in fluid dynamics. [PDF]

Sci Rep
Obeidat ST, Rizk D, Mohammed WW.
europepmc   +1 more source