Results 51 to 60 of about 14,089 (117)

Homogeneous Multigrid for Hybrid Discretizations: Application to HHO Methods

open access: yesNumerical Methods for Partial Differential Equations, Volume 41, Issue 5, September 2025.
ABSTRACT We prove the uniform convergence of the geometric multigrid V‐cycle for hybrid high‐order (HHO) and other discontinuous skeletal methods. Our results generalize previously established results for HDG methods, and our multigrid method uses standard smoothers and local solvers that are bounded, convergent, and consistent.
Daniele A. Di Pietro   +4 more
wiley   +1 more source

On the topology of conformally compact Einstein 4-manifolds

open access: yes, 2003
In this paper we study the topology of conformally compact Einstein 4-manifolds. When the conformal infinity has positive Yamabe invariant and the renormalized volume is also positive we show that the conformally compact Einstein 4-manifold will have at ...
Chang, Alice, Qing, Jie, Yang, Paul
core  

Action functional as an early warning indicator in the space of probability measures via Schrödinger bridge

open access: yesQuantitative Biology, Volume 13, Issue 3, September 2025.
Abstract Critical transitions and tipping phenomena between two meta‐stable states in stochastic dynamical systems are a scientific issue. In this work, we expand the methodology of identifying the most probable transition pathway between two meta‐stable states with Onsager–Machlup action functional, to investigate the evolutionary transition dynamics ...
Peng Zhang   +3 more
wiley   +1 more source

Quantum Computing in Industrial Internet of Things (IIoT) Forensics: Framework, Implications, Opportunities, and Future Directions

open access: yesWIREs Forensic Science, Volume 7, Issue 3, September 2025.
Generic Quantum‐Safe IIoT Forensics Framework (QS‐IIoT‐F) ABSTRACT The continuous evolution of quantum computing has shown novel and transformative possibilities and critical implications for the Industrial Internet of Things (IIoT) forensic processes.
Victor R. Kebande
wiley   +1 more source

Embracing Uncertainty in “Small Data” Problems: Estimating Earthquakes From Historical Anecdotes

open access: yesJournal of Geophysical Research: Machine Learning and Computation, Volume 2, Issue 3, September 2025.
Abstract Seismic risk estimates are greatly improved with an increased understanding of historical (and pre‐historical) seismic events. Although Bayesian inference has been shown to provide reasonable estimates of the location and magnitude of historical earthquakes from anecdotal tsunamigenic evidence, the validity and robustness of such an approach ...
N. E. Glatt‐Holtz   +6 more
wiley   +1 more source

Physics‐Informed Neural Networks for Solving the Two‐Dimensional Shallow Water Equations With Terrain Topography and Rainfall Source Terms

open access: yesWater Resources Research, Volume 61, Issue 9, September 2025.
Abstract Solving the two‐dimensional Shallow Water Equations (SWE) is a fundamental problem in flood simulation technology. In recent years, physics‐informed neural networks (PINNs) have emerged as a novel methodology for addressing this problem. Given their advantages in parallel computing, potential for data assimilation and parameter calibration ...
Yongfu Tian   +4 more
wiley   +1 more source

Random walk on sphere packings and Delaunay triangulations in arbitrary dimension

open access: yesProceedings of the London Mathematical Society, Volume 131, Issue 3, September 2025.
Abstract We prove that random walks on a family of tilings of d$d$‐dimensional Euclidean space, with a canonical choice of conductances, converge to Brownian motion modulo time parameterization. This class of tilings includes Delaunay triangulations (the dual of Voronoi tessellations) and sphere packings.
Ahmed Bou‐Rabee, Ewain Gwynne
wiley   +1 more source

From individual-based epidemic models to McKendrick-von Foerster PDEs: a guide to modeling and inferring COVID-19 dynamics. [PDF]

open access: yesJ Math Biol, 2022
Foutel-Rodier F   +11 more
europepmc   +1 more source

Reduced Models of Cardiomyocytes Excitability: Comparing Karma and FitzHugh-Nagumo. [PDF]

open access: yesBull Math Biol, 2021
Gonzalez Herrero ME   +2 more
europepmc   +1 more source

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