Results 191 to 200 of about 16,016 (265)

Diffusion-Shock PDEs for Deep Learning on Position-Orientation Space. [PDF]

J Math Imaging Vis
Sherry FM, Schaefer K, Duits R.
europepmc   +1 more source

Model Adjustments and Solver Construction for Galvanic Cells Based on NPP‐Systems

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT Electroplated coatings on metallic substrates have a wide range of practical applications ranging from corrosion or wear protection on parts, good conductivity on electrical contacts to coating systems for bipolar plates in fuel cells. The large field of applications in electrochemical engineering motivates several questions for scientific ...
Stephan Daniel Schwöbel, Thomas Mehner, Thomas Lampke   +2 more
wiley   +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

Physics‐Informed Fourier Neural Operator for Predicting the Full‐Field Stress and Strain Response of Polycrystalline Microstructures

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT We develop a physics‐informed Fourier Neural Operator (PINO) for the surrogate modeling of full‐field responses in polycrystalline microstructures. Reference stress and strain fields are generated using an FFT‐based full‐field solver under prescribed macroscopic loading. The model maps the crystallographic orientation field q(x)$\bm{q}(\bm{x})$
Ahmad Awad, Lisa Scheunemann
wiley   +1 more source

A novel shifted Vieta-Lucas spectral collocation approach for multidimensional generalized Benjamin-Bona-Mahony-Burgers equations. [PDF]

Sci Rep
Hafez RM, Ahmed HM, Alburaikan A, Alrajeh MAA, Khalifa HAE.   +4 more
europepmc   +1 more source

A Minimalist Model for the Capture and Investigation of Solitary Waves in Gravity–Driven Liquid Films

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT A potential–based, first–integral formulation of the Navier–Stokes equations is used as a platform for modelling solitary waves in gravity‐driven film flow, giving rise to a nonlinear partial differential equation in complex form. Its subsequent modal decomposition—leading to an infinite set of ordinary differential equations (ODEs), followed ...
Markus Scholle, Meriem Al Ahmadi Hammou, Philip H. Gaskell   +2 more
wiley   +1 more source

A Variational Mean-Field Control Framework for Graph Representation Learning. [PDF]

IEEE Trans Pattern Anal Mach Intell
Dan T, Zhou Z, Kim WH, Wu G.
europepmc   +1 more source

Partial Observation of Linear Systems With the Mori–Zwanzig Formalism

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT The Mori–Zwanzig (MZ) formalism provides a systematic framework for deriving reduced‐order model of dynamical systems when only part of the state is observed, but its practical use is often limited by the complexity of the resulting computations.
Fan Wang, Peter Benner, Jan Heiland
wiley   +1 more source

Homogenised balance equations for nematic liquid crystal flow in elastic porous media. [PDF]

Z Angew Math Phys
Alwady M, Mottram NJ, Penta R.
europepmc   +1 more source

Global Graph Surrogates and Neural Graph Elements for Computational Mechanics

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT Machine learning surrogates are increasingly used to accelerate physics‐based simulations by predicting full‐field responses at a fraction of the computational cost. In this contribution, we present two complementary graph‐based approaches for surrogate modelling in computational mechanics.
Rutwik Gulakala, Marcus Stoffel
wiley   +1 more source