Results 31 to 40 of about 7,871 (265)
On a Nonlinear Elliptic Eigenvalue Problem
Journal of Differential Equations, 1995 The eigenvalue problem \(- \Delta u- \mu u= \lambda g(x, u)\) in \(D\), \(u= 0\) on \(\partial D\), with prescribed energy condition is considered. Multiplicity results are proved, based on Lyusternik-Schnirelman theory.
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Advanced Engineering Materials, EarlyView.CT‐based finite element simulations combined with in situ X‐ray computed tomography are used to analyze insert pull‐out in nickel‐coated polymer foams. Despite variations in material parameters, deformation consistently concentrates within a narrow annular region around the insert.
Yannik Bautz +4 more
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Axioms, 2021 The paper investigates an algorithm for the numerical solution of a parametric eigenvalue problem for the Helmholtz equation on the plane specially tailored for the accurate mathematical modeling of lasing modes of microring lasers.
Alexander O. Spiridonov +4 more
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Advanced Materials, EarlyView.Intrinsic material dynamics are harnessed as computational resources for neuromorphic in‐materio physical reservoir computing. Defects, ionic motion, interfaces, percolation, geometry, and biasing shape transient states that provide fading memory, nonlinearity, and high‐dimensional projection for simple readout. A descriptor‐to‐dynamics framework links
Kshitij RB Singh +5 more
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Advanced Science, EarlyView.scTIDE identifies single‐cell tipping points by combining manifold‐based graph representations with optimal‐transport conditional flow matching, which preserves intrinsic topology and models distributional dynamics. It supports critical‐transition detection at individual‐cell resolution, prediction of unseen cells, and dimensionality reduction and ...
Jiayuan Zhong +6 more
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A global bifurcation result of a Neumann problem with indefinite weight
Electronic Journal of Qualitative Theory of Differential Equations, 2004 This paper is concerned with the bifurcation result of nonlinear Neumann problem \begin{equation} \left\{\begin{array}{lll} -\Delta_p u=& \lambda m(x)|u|^{p-2}u + f(\lambda,x,u)& \mbox{in} \ \Omega\\ \frac{\partial u}{\partial \nu}\hspace{0.55cm}= & 0 &
Abdelouahed El Khalil, M. Ouanan
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Randomized Sketching of Nonlinear Eigenvalue Problems
SIAM Journal on Scientific ComputingRational approximation is a powerful tool to obtain accurate surrogates for nonlinear functions that are easy to evaluate and linearize. The interpolatory adaptive Antoulas--Anderson (AAA) method is one approach to construct such approximants numerically.
Stefan Güttel +2 more
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Symmetry‐Imposed Selection Rules for Excitations of Nontrivial Plasmonic Topologies
Advanced Science, EarlyView.A unified group‐theory selection rule governs the excitation of vectorial nearfield topologies across three plasmonic spin states. Derived from first principles, it predicts spin–orbit vortex splitting and multidimensional nested vortices, confirmed by phase‐resolved in situ measurements.
Jie Yang +14 more
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Nonlinear eigenvalue problems: a challenge for modern eigenvalue methods [PDF]
GAMM-Mitteilungen, 2004 AbstractWe discuss the state of the art in numerical solution methods for large scale polynomial or rational eigenvalue problems. We present the currently available solution methods such as the Jacobi‐Davidson, Arnoldi or the rational Krylov method and analyze their properties.
Mehrmann, Volker, Voss, Heinrich
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Advanced Intelligent Discovery, EarlyView.This study integrates random matrix theory (RMT) and principal component analysis (PCA) to improve the identification of correlated regions in HIV protein sequences for vaccine design. PCA validation enhances the reliability of RMT‐derived correlations, particularly in small‐sample, high‐dimensional datasets, enabling more accurate detection of ...
Mariyam Siddiqah +3 more
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