Results 71 to 80 of about 6,739 (179)

Eigenfunctions and nodal sets [PDF]

open access: yesSurveys in Differential Geometry, 2013
60 pages, 5 figures lifted from the web.
openaire   +2 more sources

Estimates for the ratio of the first two eigenvalues of the Dirichlet-Laplace operator with a drift [PDF]

open access: yesContributions to Mathematics, 2021
Serban Barbuleanu   +2 more
doaj   +1 more source

The Eigenfunction Expansion for a Dirichlet Problem with Explosive Factor [PDF]

open access: yes, 2011
We prove the eigenfunction expansion formula for a Dirichlet problem with explosive factor by two ways, first by standard method and second by proving a convergence in some metric space 2(0,;())
A. H. Nasser, Zaki F. A. El-Raheem
core   +1 more source

Multicontinuum Homogenization for Poroelasticity Model

open access: yesInternational Journal for Numerical Methods in Fluids, Volume 98, Issue 9, Page 1035-1060, September 2026.
This work derives a generalized multicontinuum poroelasticity model using the multicontinuum homogenization method to enable accurate coarse‐grid simulations of coupled flow–mechanics processes in highly heterogeneous porous media. Coupled constraint cell problems are formulated, and the corresponding multicontinuum equations are rigorously derived ...
Dmitry Ammosov   +2 more
wiley   +1 more source

Error investigation of finite element approximation for a nonlinear Sturm–Liouville problem

open access: yesУчёные записки Казанского университета: Серия Физико-математические науки, 2017
A positive definite differential eigenvalue problem with coefficients depending nonlinearly on the spectral parameter has been studied. The differential eigenvalue problem is formulated as a variational eigenvalue problem in a Hilbert space with bilinear
A.A. Samsonov   +2 more
doaj  

The almost everywhere convergence of the eigenfunction expansions from Liouville classes corresponding to the elliptic operators [PDF]

open access: yes, 2018
Many problems of mathematical physics can be solved by separation methods of partial differential equations. By application of separation method, a solution of the partial differential equation can be represented in terms of eigenfunction expansions of ...
Hishamuddin, Zainuddin   +5 more
core   +1 more source

Accurate and Efficient Data‐Driven Partitioned Scheme for Coupled Heterogeneous Numerical Models

open access: yesNumerical Methods for Partial Differential Equations, Volume 42, Issue 5, September 2026.
ABSTRACT Heterogeneous numerical models (HNMs) combine conventional discretization modules such as finite elements with nonconventional data‐driven and reduced‐order modules. HNMs can improve computational efficiency and enable simulations of multi‐physics systems in which one or more constituent components lack first‐principles descriptions and must ...
Edward Huynh   +3 more
wiley   +1 more source

Statistical Quantum Mpemba Effect From Griffiths Rare Regions

open access: yesAdvanced Quantum Technologies, Volume 9, Issue 9, September 2026.
The statistical quantum Mpemba effect emerges robustly in disordered open quantum systems. Griffiths rare regions generate a hierarchy of relaxation times that simple extended Bloch states naturally probe, without requiring fine‐tuned initial states or detailed knowledge of the Liouvillian spectrum.
Stefano Longhi
wiley   +1 more source

Finite difference approximation of electron balance problem in the stationary high-frequency induction discharges

open access: yesMATEC Web of Conferences, 2017
The problem of finding the minimal eigenvalue corresponding to a positive eigenfunction of the nonlinear eigenvalue problem for the ordinary differential equation with coefficients depending on a spectral parameter is investigated. This problem arises in
Solov´ev Sergey I.   +2 more
doaj   +1 more source

Flexible specification of directional spatial processes for eigenvector maps

open access: yesMethods in Ecology and Evolution, Volume 17, Issue 9, Page 2729-2741, September 2026.
Abstract Understanding spatial structure is crucial when analysing species distributions, biodiversity and community dynamics. Spatial analysis using eigenvector maps provides a general framework for capturing spatial patterns in ecological data. Among these methods, asymmetric eigenvector maps (AEM) are particularly useful for capturing asymmetric ...
Shota Homma   +3 more
wiley   +1 more source

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