Results 101 to 110 of about 91,586,058 (209)

Gradient Flows on Sparse Representations for PDE‐Regularized Inverse Problems

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT In this short paper, we summarize the theory of Atomic Gradient Flows (AGF) introduced in (Amend, Carioni and Zemas, arxiv:2603.25675, 2026), which provides a framework to construct gradient flows on sparse representations for convex regularized optimization problems.
Christian Amend, Marcello Carioni
wiley   +1 more source

On Switching Times Optimization and Second‐Order Sufficient Conditions for Optimal Bang‐Bang Boundary Control of the Heat Equation

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT We consider optimal control of the heat equation where the control variable appears linearly as a boundary control. We establish switching times optimization for bang–bang controls with multiple switching times. Particularly, representations of variational derivatives of the state and the cost w.r.t. switching times are given.
Georg Vossen
wiley   +1 more source

Four Decades of Research at the MADE Site and Beyond: Advancing the Understanding and Modeling of Solute Transport in Heterogeneous Media

Reviews of Geophysics, Volume 64, Issue 4, December 2026.
Abstract Spatial heterogeneity, manifested as strong variability in hydraulic conductivity (K) within geological formations, exerts a fundamental control on groundwater flow and solute transport. Because K can vary over multiple orders of magnitude in complex three‐dimensional patterns, predicting contaminant plume migration remains a long‐standing ...
Zhilin Guo, Maosheng Yin, Peiyao Dong, Yong Zhang, Kewei Chen, Graham Fogg, Brian Berkowitz, Marco Dentz, Chunmiao Zheng   +8 more
wiley   +1 more source

Structural identifiability of constitutive relations from indirect field observations. [PDF]

PNAS Nexus
Ju YS.
europepmc   +1 more source

A New Physics‐Constrained Neural Network Approach to Retrieve CH4 Vertical Profiles From Hyperspectral Infrared Data

Journal of Geophysical Research: Atmospheres, Volume 131, Issue 21, 16 November 2026.
Abstract Methane (CH4 ${\text{CH}}_{4}$) is a critical greenhouse gas, and accurate monitoring of its vertical distribution is essential for understanding its radiative impact and identifying emission sources. This paper introduces a novel methodology using a physics‐constrained neural network based on soft constraints to retrieve CH4 ${\text{CH}}_{4}$
Rocco Giosa, Marco D’Emilio, Pamela Pasquariello, Guido Masiello, Carmine Serio, Maria Ragosta, Francesco Carbone, Christian Natale Gencarelli, Italia De Feis, Diana Carolina Fonnegra Mora, Lorenzo Cassini, Raffaele Inglese, Giuliano Liuzzi   +12 more
wiley   +1 more source

An optimal Petrov-Galerkin framework for operator networks. [PDF]

Comput Methods Appl Mech Eng
Charles P, Ray D, Yu Y, Prins J, Melchers H, Abdelmalik MRA, Cochran J, Oberai AA, Hughes TJR, Larson MG.   +9 more
europepmc   +1 more source

The Effect of Acute Beetroot Juice and Caffeine Supplementation on Specific Judo Performance During a Simulated Competition Day in Judo Athletes

European Journal of Sport Science, Volume 26, Issue 11, November 2026.
ABSTRACT Beetroot juice (BJ) and caffeine (CAF) are well‐established ergogenic aids for exercise performance. However, little is known about their efficacy and interaction within the specific context of a judo competition day. This study investigated the acute effects of BJ, CAF, and their combination (BJCAF) on judo‐specific performance across a ...
Sefer Karabağ, Heidar Sajedi, Onur Güler, Vahdet Alaeddinoğlu, Ergün Çakır, Davar Khodadadi, Selahattin Akpınar   +6 more
wiley   +1 more source

Data-driven, ML-assisted approaches to problem well-posedness. [PDF]

PNAS Nexus
Bertalan T, Kevrekidis GA, Koronaki ED, Mishra S, Rebrova E, Kevrekidis IG.   +5 more
europepmc   +1 more source

Foliation of null cones by surfaces of constant spacetime mean curvature near MOTS

Journal of the London Mathematical Society, Volume 114, Issue 5, November 2026.
Abstract Marginally outer trapped surfaces (MOTS) in spacetimes are well‐known to indicate the existence of black holes. Using flow techniques, we prove that a neighbourhood of a stable MOTS in a null cone may be foliated by hypersurfaces of constant spacetime mean curvature.
Ben Lambert, Julian Scheuer
wiley   +1 more source

Analyzing the influence of fractional orders of FitzHugh-Nagumo and Fisher equations. [PDF]

Sci Rep
Al-Sawalha MM, Noor S, Yasmin H, Kafle J.   +3 more
europepmc   +1 more source