Results 91 to 100 of about 10,613 (298)
On a nonlinear eigenvalue problem occurring in population genetics
, 1985 SynopsisWe discuss the nonlinear eigenvalue problemwithr(–×) = –r(×) and r'≧0.For ε =h=0, the solution to Problem P is wellknown, and every solution, exceptu= 0 andu=1, is unstable with respect to the corresponding parabolic problem.
Ph. Clément, L. A. Peletier
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The descent algorithms for solving symmetric Pareto eigenvalue complementarity problem
, 2023 summary:For the symmetric Pareto Eigenvalue Complementarity Problem (EiCP), by reformulating it as a constrained optimization problem on a differentiable Rayleigh quotient function, we present a class of descent methods and prove their convergence.
Lei, Yuan, Zou, Lu
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Front Propagation Through a Perforated Wall
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We consider a bistable reaction– diffusion equation ut=Δu+f(u)$u_t=\Delta u +f(u)$ on RN${\mathbb {R}}^N$ in the presence of an obstacle K$K$, which is a wall of infinite span with many holes. More precisely, K$K$ is a closed subset of RN${\mathbb {R}}^N$ with smooth boundary such that its projection onto the x1$x_1$‐axis is bounded and that ...
Henri Berestycki +2 more
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Stochastic Gradient Descent in High Dimensions for Multi‐Spiked Tensor PCA
Communications on Pure and Applied Mathematics, EarlyView.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 Linear and Nonlinear Fourth-Order Eigenvalue Problems with Nonlocal Boundary Condition
Journal of Function Spaces and Applications, 2013 We determine the principal eigenvalue of the linear problem , , , where and . Moreover, we investigate the existence of positive solutions for the corresponding nonlinear problem.
Dongming Yan
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An Arnoldi Method for Nonlinear Eigenvalue Problems [PDF]
BIT Numerical Mathematics, 2004 For the nonlinear eigenvalue problem T(lambda)x = 0 we propose an iterative projection method for computing a few eigenvalues close to a given parameter. The current search space is expanded by a generalization of the shift-and-invert Arnoldi method. The resulting projected eigenproblems of small dimension are solved by inverse iteration. The method is
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Finite-difference solutions of tenth-order boundary-value problems
, 1994 This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.In this thesis finite difference methods are used to obtain numerical solutions for a class of high-order ordinary differential equations with applications ...
Siddiqui, Aijaz Ahmad
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Earthquake Engineering &Structural Dynamics, EarlyView.ABSTRACT Multi‐supported non‐structural components (NSCs) are prone to seismic damage, yet their response prediction remains challenging when support motions are spatially incoherent. This study proposes an enhanced quasi‐static condensation (EQSC) method for linear, lightweight, dynamically detuned multi‐supported NSCs under the neglect of primary ...
Duozhi Wang +5 more
wiley +1 more source
Existence and uniqueness for a p-Laplacian nonlinear eigenvalue problem
Electronic Journal of Differential Equations, 2010 We consider the Dirichlet eigenvalue problem $$ -mathop{ m div}(| abla u|^{p-2} abla u ) =lambda | u|_q^{p-q}|u|^{q-2}u, $$ where the unknowns $uin W^{1,p}_0(Omega )$ (the eigenfunction) and $lambda >0$ (the eigenvalue), $Omega $ is an arbitrary ...
Giovanni Franzina +1 more
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Nonlinear eigenvalue problems and contour integrals
Journal of Computational and Applied Mathematics, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Van Barel, Marc, Kravanja, Peter
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