Results 71 to 80 of about 20,411 (217)

Zeros of eigenfunctions of some anharmonic oscillators [PDF]

, 2006
We study complex zeros of eigenfunctions of second order linear differential operators with real even polynomial potentials. For potentials of degree 4, we prove that all zeros of all eigenfunctions belong to the union of the real and imaginary axes. For
Boris Shapiro, Andrei Gabrielov, Alexandre Eremenko, Shapiro, Boris, Eremenko, Alexandre, Gabrielov, Andrei   +5 more
core   +1 more source

Multicontinuum Homogenization for Poroelasticity Model

International 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, Mohammed Al Kobaisi, Yalchin Efendiev   +2 more
wiley   +1 more source

On the completeness of a pair of biorthogonally conjugated systems of functions

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2015
In this paper we studied the spectral problem for an ordinary second order differential equation on a finite interval with a discontinuous coefficient of the highest derivative. At the ends of the segment the boundary conditions of the first kind are given.
Alfira A Gimaltdinova, Ksenija V Kurman
doaj   +1 more source

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

Numerical 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, Justin Owen, Paul Kuberry, Pavel Bochev   +3 more
wiley   +1 more source

Boundary problem for the singular heat equation

Karpatsʹkì Matematičnì Publìkacìï, 2017
The scheme for solving of a mixed problem with general boundary conditions is proposed for a heat equation \[a(x)\frac{\partial T}{\partial \tau}= \frac{\partial}{\partial x} \left(\lambda(x)\frac{\partial T}{\partial x}\right)\] with coefficient $a(x ...
O.V. Makhnei
doaj   +1 more source

Statistical Quantum Mpemba Effect From Griffiths Rare Regions

Advanced 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

Computing Generalized Eigenfunctions in Rigged Hilbert Spaces [PDF]

We introduce a simple, general, and convergent scheme to compute generalized eigenfunctions of self-adjoint operators with continuous spectra on rigged Hilbert spaces.
Horning, Andrew, Xie, Tianyiwa, Colbrook, Matthew J.   +2 more
core   +1 more source

Going Next after “A Guide to Special Functions in Fractional Calculus”: A Discussion Survey

Mathematics
In the survey Kiryakova: “A Guide to Special Functions in Fractional Calculus” (published in this same journal in 2021) we proposed an overview of this huge class of special functions, including the Fox H-functions, the Fox–Wright generalized ...
Virginia Kiryakova, Jordanka Paneva-Konovska   +1 more
doaj   +1 more source

On Autonomy Imposition in Zero Interval Limit Perturbation Expansion for the Spectral Entities of Hilbert–Schmidt Integral Operators

Mathematics, 2017
In this work, we deal with the autonomy issue in the perturbation expansion for the eigenfunctions of a compact Hilbert–Schmidt integral operator. Here, the autonomy points to the perturbation expansion coefficients of the relevant eigenfunction not ...
Süha Tuna, Metin Demiralp
doaj   +1 more source

Flexible specification of directional spatial processes for eigenvector maps

Methods 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, Daisuke Murakami, Shinya Hosokawa, Koji Kanefuji   +3 more
wiley   +1 more source