Results 31 to 40 of about 29,805 (265)

Principal eigenvalue problem for infinity Laplacian in metric spaces

open access: yesAdvanced Nonlinear Studies, 2022
This article is concerned with the Dirichlet eigenvalue problem associated with the ∞\infty -Laplacian in metric spaces. We establish a direct partial differential equation approach to find the principal eigenvalue and eigenfunctions in a proper geodesic
Liu Qing, Mitsuishi Ayato
doaj   +1 more source

On the Numerical Treatment of the Temporal Discontinuity Arising from a Time-Varying Point Mass Attachment on a Waveguide

open access: yesAlgorithms, 2023
A vibrating pylon, modeled as a waveguide, with an attached point mass that is time-varying poses a numerically challenging problem regarding the most efficient way for eigenvalue extraction.
George D. Manolis, Georgios I. Dadoulis
doaj   +1 more source

Eigenvalue and Generalized Eigenvalue Problems: Tutorial

open access: yesCoRR, 2019
This paper is a tutorial for eigenvalue and generalized eigenvalue problems. We first introduce eigenvalue problem, eigen-decomposition (spectral decomposition), and generalized eigenvalue problem. Then, we mention the optimization problems which yield to the eigenvalue and generalized eigenvalue problems. We also provide examples from machine learning,
Benyamin Ghojogh   +2 more
openaire   +2 more sources

STUDY OF THE EIGENVALUE SPECTRA OF THE NEUTRON TRANSPORT PROBLEM IN PN APPROXIMATION [PDF]

open access: yesEPJ Web of Conferences, 2021
The study of the steady-state solutions of neutron transport equation requires the introduction of appropriate eigenvalues: this can be done in various different ways by changing each of the operators in the transport equation; such modifications can be ...
Saracco P.   +4 more
doaj   +1 more source

On optimum design of a vibrating plate with respect to its thickness and eigen-frequencies

open access: yesComputer Assisted Methods in Engineering and Science, 2023
The eigenvalue optimization problem for anisotropic plates has been dealt with. The variable thickness of a plate plays the role of a design variable. The state problem arises considering free vibrations of a plate.
Igor Bock, Ján Lovíšek
doaj  

On thickness optimization of an unilaterally supported anisotropic plate subjected to buckling

open access: yesComputer Assisted Methods in Engineering and Science, 2023
We shall be dealing with the eigenvalue optimization problem for an anisotropic plate. The plate is partly unilaterally supported on its boundary and subjected to longitudinal forces causing its buckling.
Igor Bock, Jan Lovisek
doaj  

An Eigenvalue Problem for Nonlocal Equations

open access: yesBruno Pini Mathematical Analysis Seminar, 2016
In this paper we study the existence of a positive weak solution for a class of nonlocal equations under Dirichlet boundary conditions and involving the regional fractional Laplacian operator...Our result extends to the fractional setting some theorems ...
Giovanni Molica Bisci   +1 more
doaj   +1 more source

The eigenvalue complementarity problem [PDF]

open access: yesComputational Optimization and Applications, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Joaquim Júdice   +2 more
openaire   +3 more sources

Quaternionic eigenvalue problem [PDF]

open access: yesJournal of Mathematical Physics, 2002
We discuss the (right) eigenvalue equation for ℍ, ℂ and ↛ linear quaternionic operators. The possibility to introduce an isomorphism between these operators and real/complex matrices allows us to translate the quaternionic problem into an equivalent real or complex counterpart. Interesting applications are found in solving differential equations within
DE LEO S, SCOLARICI G, SOLOMBRINO, Luigi
openaire   +4 more sources

Approximation of the Minimal Eigenvalue for a Nonlinear Sturm–Liouville Problem [PDF]

open access: yesУчёные записки Казанского университета: Серия Физико-математические науки, 2015
Properties of the minimal eigenvalue corresponding to the positive eigenfunction of a nonlinear eigenvalue problem for an ordinary differential equation are studied. This problem is approximated by a mesh scheme of the finite element method. The error of
V.S. Zheltukhin   +2 more
doaj  

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