Results 101 to 110 of about 1,373 (161)

Neural‐Initialized Newton: Accelerating Nonlinear Finite Elements via Operator Learning

International Journal for Numerical Methods in Engineering, Volume 127, Issue 14, 30 July 2026.
ABSTRACT We propose a Newton‐based scheme, initialized by neural operator predictions, to accelerate the parametric solution of nonlinear problems in computational solid mechanics. First, a physics‐informed neural operator based on conditional neural fields or Fourier neural operators is trained to approximate the nonlinear parametric solution of the ...
Kianoosh Taghikhani, Yusuke Yamazaki, Jerry Paul Varghese, Markus Apel, Reza Najian Asl, Shahed Rezaei   +5 more
wiley   +1 more source

Generative discovery of partial differential equations by learning from math handbooks. [PDF]

Nat Commun
Xu H, Chen Y, Cao R, Tang T, Du M, Li J, Callaghan AH, Zhang D.   +7 more
europepmc   +1 more source

Deterministic, stochastic, and mean-field PDE models in neuroscience. [PDF]

Front Comput Neurosci
Çetin C, Piqueira JRC, İzgi B, Peker-Dobie A, Ahmetolan S, Özkaya M.   +5 more
europepmc   +1 more source

Gradient-Driven Physics Informed Neural Networks for Conduction Heat Transfer and Incompressible Laminar Flow. [PDF]

J Comput Nonlinear Dyn
Lu T, Shahadat MRB, Liu Q, He R, Jiang X, Li Z.   +5 more
europepmc   +1 more source

NeuberNet: a neural operator solving elastic-plastic partial differential equations at V-notches from low-fidelity elastic simulations. [PDF]

Commun Eng
Grossi T, Beghini M, Benedetti M.
europepmc   +1 more source

A fast, accurate and oscillation-free spectral collocation solver for high-dimensional transport problems. [PDF]

Sci Rep
Cavallini N, Manzini G, Funaro D, Favalli A.   +3 more
europepmc   +1 more source

Physics-informed neural network analysis of kerosene-based penta-hybrid nanofluid flow and heat transfer. [PDF]

Discov Nano
Makhdoum BM, Zahir H, Katbar NM, Jamshed W, Guedri K, Bayram M, Hussain SM, Batool S, Ahmad H.   +8 more
europepmc   +1 more source

Physics-informed neural networks for physiological signal processing and modeling: a narrative review. [PDF]

Physiol Meas
Zhao A, Fattahi D, Hu X.
europepmc   +1 more source

Active control of flexible spacecraft in orbit based on partial differential equations. [PDF]

PLoS One
Zhang B, Wen M.
europepmc   +1 more source

Entropy optimization of magnetohydrodynamic Casson hybrid nanofluid flow over a rotating disk with Cattaneo Christov heat flux. [PDF]

Discov Nano
Gubena T, Ibrahim W.
europepmc   +1 more source