Results 41 to 50 of about 1,688,774 (125)

On the stability of Bravais lattices and their Cauchy–Born approximations [PDF]

open access: yes, 2011
We investigate the stability of Bravais lattices and their Cauchy–Born approximations under periodic perturbations. We formulate a general interaction law and derive its Cauchy–Born continuum limit. We then analyze the atomistic and Cauchy–Born stability
Hudson, Thomas   +3 more
core   +1 more source

A Numerical Study of a Weakly Symmetric Dual‐Mixed Finite Element Method for the Stokes Source Problem With Velocity Postprocessing

open access: yesProceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT We present a numerical study of a weakly symmetric dual‐mixed finite element method for the Stokes source problem, in which the Cauchy stress is the primary unknown and its symmetry is imposed weakly through a vorticity Lagrange multiplier. Viewing the scheme as the incompressible limit of the reduced‐symmetry mixed elasticity framework, we ...
Fleurianne Bertrand, Tugay Dağlı
wiley   +1 more source

I_2-Cauchy double sequences in 2 normed spaces [PDF]

open access: yes, 2015
The concept I-Cauchy and I∗-Cauchy sequences were studied by Gürdal and Acik in on I-Cauchy sequences in 2-normed spaces, Math. Inequal. Appl. 11 (2) (2008), 349--354.
Sever, Yurdal, Dündar, Erdinç
core   +1 more source

Inverse problems for semilinear elliptic PDE with a general nonlinearity a(x,u)$a(x,u)$

open access: yesTransactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract This article studies the inverse problem of recovering a nonlinearity in an elliptic equation Δu+a(x,u)=0$\Delta u + a(x,u) = 0$ from boundary measurements of solutions. Previous results based on first‐order linearization achieve this under a sign condition on ∂ua(x,u)$\partial _u a(x,u)$, and results based on higher order linearization ...
David Johansson   +2 more
wiley   +1 more source

Robust CDF‐Filtering of a Location Parameter

open access: yesJournal of Time Series Analysis, Volume 47, Issue 6, Page 1113-1123, November 2026.
ABSTRACT This paper introduces a novel framework for designing robust filters associated with signal plus noise models having symmetric observation density. The filters are obtained by a recursion where the innovation term is a transform of the cumulative distribution function of the residuals.
Leopoldo Catania   +2 more
wiley   +1 more source

Addressing stationarity violations in double‐observer drone surveys: A koala case study

open access: yesEcological Solutions and Evidence, Volume 7, Issue 4, October/December 2026.
Independent drone observers survey the same area with a temporal offset. Movement between passes violates stationarity, causing re‐detections of the same individual to be misclassified as independent observations and inflating abundance estimates. Incorporating movement information using a hidden Markov model links plausible re‐detections and reduces ...
Tim S. Jessop   +5 more
wiley   +1 more source

Structurally Cascaded Physics‐Informed Graph Neural Networks for Mechanotransduction‐Aware Tumor Microenvironment Modeling

open access: yesApplied Research, Volume 5, Issue 5, October 2026.
This study introduces a structurally cascaded physics‐informed graph neural network to model tumor microenvironments accurately. By enforcing a directional dependency from mechanical strain to biochemical secretion, the method eliminates unphysical artifacts and significantly improves predictive accuracy for precision healthcare applications.
Xinyuan Chen   +2 more
wiley   +1 more source

Stochastic Gradient Descent in High Dimensions for Multi‐Spiked Tensor PCA

open access: yesCommunications on Pure and Applied Mathematics, Volume 79, Issue 10, Page 2291-2369, October 2026.
ABSTRACT We study the high‐dimensional dynamics of online stochastic gradient descent (SGD) for the multi‐spiked tensor model. This multi‐index model arises from the tensor principal component analysis (PCA) problem with multiple spikes, where the goal is to estimate the unknown signal vectors within the N$N$‐dimensional unit sphere through maximum ...
Gérard Ben Arous   +2 more
wiley   +1 more source

On I_2-Cauchy double sequences in fuzzy normed spaces [PDF]

open access: yes, 2019
In this paper, we investigate relationship between I_2-convergence and I_2-Cauchy double sequences in fuzzy normed spaces. After, we introduce the concepts of I*_2-Cauchy double sequences and study relationships between I_2-Cauchy and I*_2-Cauchy ...
Dündar, Erdinç   +1 more
core   +1 more source

Quasi-Cauchy Sequences on Asymmetric Metric Spaces

open access: yes
In recent years, quasi-Cauchy sequences have been studied by many authors in the real line and in metric spaces. In this paper, we investigate the concepts of quasi Cauchyness of sequences, ward compactness and ward continuity in asymmetric metric spaces.
DAĞCI, FİKRİYE İNCE   +1 more
core   +1 more source

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