Results 101 to 110 of about 5,570,115 (211)

A Stable Formulation for Wave‐Induced Fracture in Peridynamics

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT The bond‐associated quadrature point formulation is a very accurate peridynamic formulation for elasticity, but modeling fracture by the traditional deletion of bonds can trigger severe numerical instabilities. These instabilities are most pronounced for wave‐induced fracture, where stress waves continue to propagate through already damaged ...
Kai Partmann, Manuel Dienst, Christian Wieners, Kerstin Weinberg   +3 more
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

On computing local monodromy and the numerical local irreducible decomposition

Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract Similarly to the global case, the local structure of a holomorphic subvariety at a given point is described by its local irreducible decomposition. Geometrically, the key requirement for obtaining a local irreducible decomposition is to compute the local monodromy action of a generic linear projection at the given point, which is always well ...
Parker B. Edwards, Jonathan D. Hauenstein   +1 more
wiley   +1 more source

Integrating Grain to Ground Motion Data for Critical Rock Bridge and Slope Failure Analysis

International Journal for Numerical and Analytical Methods in Geomechanics, Volume 50, Issue 16, Page 5891-5918, November 2026.
ABSTRACT Rock masses can fail catastrophically with little warning, yet their stability depends on hidden internal connections that channel forces and localise damage. Among these, rock bridges–a “known unknown” in slope mechanics–lock fractured rock and control how failure unfolds, but their concealed geometry and uncertain strength obscure where and ...
Antoinette Tordesillas, Shuo Zhou, Leonnardo Probst, Pat Bellett, Michal Nitka, Jacek Tejchman   +5 more
wiley   +1 more source

A Practical Guide to First‐Principles Calculations for Pseudocapacitive Materials: From Electrochemical Experiments to Atomistic Understanding

ChemElectroChem, Volume 13, Issue 20, 16 October 2026.
Electrochemical experiments reveal what happens, whereas first principles calculations explain why. Emerging computational electrochemistry is bridging these perspectives, enabling quantitative understanding of electrode/electrolyte interfaces and enabling the rational design of next‐generation energy storage materials.
Kenji Oqmhula, Ryo Maezono, Kenta Hongo
wiley   +1 more source

On some linear two-point inverse problem for a multidimensional heat conduction equation with semi-nonlocal boundary conditions

Қарағанды университетінің хабаршысы. Математика сериясы
It is known that V.A. Ilyin and E.I. Moiseev studied generalized nonlocal boundary value problems for the Sturm-Liouville equation, the nonlocal boundary conditions specified at the interior points of the interval under consideration. For such problems,
С.З. Джамалов, Ш.Ш. Худойкулов   +1 more
doaj   +1 more source

Fractional Nikiforov‐Uvarov Formalism for Dunkl‐Schrödinger Equation With Deng‐Fan Molecular Model

International Journal of Quantum Chemistry, Volume 126, Issue 19, October 5, 2026.
The effect of Dunkl deformation parameters on energy eigenvalues of Deng‐Fan potential (DFP) is evaluated using conformable fractional Nikiforov‐Uvarov method. Our results show that energy eigenvalues of DFP for selected diatomic molecules are significantly influenced by the Dunkl deformation parameter, fractional parameter, kinetic pre‐factor and ...
H. I. Alrebdi, U. S. Okorie, E. S. William, A. N. Ikot   +3 more
wiley   +1 more source

Solvability of Some Elliptic Equations with a Nonlocal Boundary Condition

Mathematics
In this work, we study a nonlocal boundary value problem for a quasilinear elliptic equation. Using the method of regularization and parameter continuation, we prove the existence and uniqueness of a regular solution to the nonlocal boundary value ...
Serik Aitzhanov, Bakytbek Koshanov, Aray Kuntuarova   +2 more
doaj   +1 more source

Singular perturbation in a nonlocal diffusion problem

, 2020
. We study a singular perturbation problem for a nonlocal evolution operator. The problem appears in the analysis of the propagation of flames in the high activation energy limit, when admitting nonlocal effects.
Noemi Wolanski, Claudia Lederman
core  

Advancing Efficient Error Reduction in DNA Data Storage Systems with Deep Learning‐Based Denoising Models

Advanced Intelligent Discovery, Volume 2, Issue 5, October 2026.
Deep learning‐based denoising models are applied to DNA data storage systems to enhance error reduction and data fidelity. By integrating DnCNN with DNA sequence encoding methods, the study demonstrates significant improvements in image quality and correction of substitution errors, revealing a promising path toward robust and efficient DNA‐based ...
Seongjun Seo, Anshula Tandon, Nguyen Kim Uyen, Quoc Nam Le, Jee‐Hyong Lee, Sung Ha Park   +5 more
wiley   +1 more source