Results 151 to 160 of about 2,992 (267)

Isoperimetric inequalities on slabs with applications to cubes and Gaussian slabs

Communications on Pure and Applied Mathematics, Volume 79, Issue 4, Page 1012-1072, April 2026.
Abstract We study isoperimetric inequalities on “slabs”, namely weighted Riemannian manifolds obtained as the product of the uniform measure on a finite length interval with a codimension‐one base. As our two main applications, we consider the case when the base is the flat torus R2/2Z2$\mathbb {R}^2 / 2 \mathbb {Z}^2$ and the standard Gaussian measure
Emanuel Milman
wiley   +1 more source

Deformable registration and generative modelling of aortic anatomies by auto-decoders and neural ODEs. [PDF]

NPJ Biol Phys Mech
Tenderini R, Pegolotti L, Kong F, Pagani S, Regazzoni F, Marsden AL, Deparis S.   +6 more
europepmc   +1 more source

Application of High‐Order Direct Flux Reconstruction and Stiffness‐Resilient Time Integration to Simulations of Idealized Atmospheric Flows

International Journal for Numerical Methods in Fluids, Volume 98, Issue 4, Page 448-468, April 2026.
The proposed work implements a direct flux reconstruction method for spatial discretization and a stiffness‐resilient exponential time integration method for temporal discretization on the cube‐sphere grid. A space‐time tensor formalism is employed to provide a general representation in any curvilinear coordinate system. This combination enables highly
Stéphane Gaudreault, Christopher Subich, Shoyon Panday, Martin Charron, Vincent Magnoux, Valentin Dallerit, Mayya Tokman   +6 more
wiley   +1 more source

Stability and Robustness of Time-discretization Schemes for the Allen-Cahn Equation via Bifurcation and Perturbation Analysis. [PDF]

J Comput Phys
Hao W, Lee S, Xu X, Xu Z.
europepmc   +1 more source

EVSS‐Based Simulation Techniques for the Viscoelastic Fluids With Pure Polymer Melts Using Three‐Field Approach

International Journal for Numerical Methods in Fluids, Volume 98, Issue 4, Page 492-509, April 2026.
This paper presents a finite element method for simulating highly viscoelastic flows of pure polymer melts using the Elastic Viscous Stress Splitting formulation. The method avoids higher‐order derivatives in the weak formulation by reformulating the convective term in the constitutive equation.
R. Ahmad, P. Zajac, S. Turek
wiley   +1 more source

An innovative meshless approach for solving 2D Allen-Cahn equations using the RBF-compact finite difference method. [PDF]

Sci Rep
Fardi M, Azarnavid B, Emami H.
europepmc   +1 more source

Analysis of Three‐Stage Preheating Strategy and Heat Transfer Mechanism of Metal‐Supported Solid Oxide Electrolysis Cell System

Fuel Cells, Volume 26, Issue 2, April 2026.
ABSTRACT This study details the dynamic model of a metal‐supported solid oxide electrolysis cell (MS‐SOEC) system, which includes a metal‐supported stack, evaporator, heat exchanger, and associated heaters and blowers, forming an integrated electrolysis and thermal management unit.
Jenn‐Kun Kuo, Wei‐Guo Jiang, Ukrit Thamma, Athasit Wongcharoen, Ching‐Neng Huang, Wei‐Cheng Wang   +5 more
wiley   +1 more source

Training stiff neural ordinary differential equations with implicit single-step methods. [PDF]

Chaos
Fronk C, Petzold L.
europepmc   +1 more source

C. F. v. Weizsächer on Quasistationary Isotropic Turbulence Compared With Onsager's Statistical Hydrodynamics

Natural Sciences, Volume 6, Issue 2, April 2026.
v. Weizsäcker and Heisenberg began their turbulence collaboration in 1945 while still quarantined at Farm Hall. Their papers were submitted separately in 1946 from Göttingen. v. Weizsäcker had derived the 5/3 law for dissipation while using dimensional analysis in real space.
Joseph L. McCauley
wiley   +1 more source

InvSim algorithm for pre-computing airplane flight controls in limited-range autonomous missions, and demonstration via double-roll maneuver of Mirage III fighters. [PDF]

Sci Rep
Marzouk OA.
europepmc   +1 more source