Results 31 to 40 of about 420,297 (269)

The Anderson model of localization: a challenge for modern eigenvalue methods [PDF]

, 1997
We present a comparative study of the application of modern eigenvalue algorithms to an eigenvalue problem arising in quantum physics, namely, the computation of a few interior eigenvalues and their associated eigenvectors for the large, sparse, real ...
Elsner, U., Mehrmann, V., Milde, F., Roemer, R. A., Schreiber, M.   +4 more
core   +4 more sources

Estimates of complex eigenvalues and an inverse spectral problem for the transmission eigenvalue problem

Electronic Journal of Qualitative Theory of Differential Equations, 2019
This work deals with the interior transmission eigenvalue problem: $y'' + {k^2}\eta \left( r \right)y = 0$ with boundary conditions ${y\left( 0 \right) = 0 = y'\left( 1 \right)\frac{{\sin k}}{k} - y\left( 1 \right)\cos k},$ where the function $\eta(r ...
Xiao-Chuan Xu, Chuan-Fu Yang, Sergey Buterin, Vjacheslav Yurko   +3 more
doaj   +1 more source

Nonlinear elliptic equation with nonlocal integral boundary condition depending on two parameters

Mathematical Modelling and Analysis, 2022
In this paper, the two-dimensional nonlinear elliptic equation with the boundary integral condition depending on two parameters is solved by finite difference method.
Kristina Pupalaigė, Mifodijus Sapagovas, Regimantas Čiupaila   +2 more
doaj   +1 more source

The N-eigenvalue Problem and Two Applications [PDF]

, 2005
We consider the classification problem for compact Lie groups $G\subset U(n)$ which are generated by a single conjugacy class with a fixed number $N$ of distinct eigenvalues.
Larsen, Michael, Rowell, Eric C., Wang, Zhenghan   +2 more
core   +4 more sources

Some notes on conformable fractional Sturm–Liouville problems

Boundary Value Problems, 2021
The conformable fractional eigenvalue problem − D x α D x α y + q ( x ) y = λ ρ ( x ) y $$\begin{aligned} -D_{x}^{\alpha }D_{x}^{\alpha }y+q(x)y=\lambda \rho (x)y \end{aligned}$$ is considered.
Wei-Chuan Wang
doaj   +1 more source

Computing the lower and upper bounds of Laplace eigenvalue problem: by combining conforming and nonconforming finite element methods

, 2011
This article is devoted to computing the lower and upper bounds of the Laplace eigenvalue problem. By using the special nonconforming finite elements, i.e., enriched Crouzeix-Raviart element and extension $Q_1^{\rm rot}$, we get the lower bound of the ...
C. Yao, F. Chatelin, FuSheng Luo, G. Stang, H. P. Liu, H. P. Liu, HeHu Xie, I. Babuška, I. Babuška, J. C. Xu, J. Hu, K. Feng, M. Armentano, P. Ciarlet, Q. Lin, Q. Lin, Q. Lin, Q. Lin, Qun Lin, R. Rannacher, Y. A. Li, Y. A. Li, Y. D. Yang, Y. D. Yang, Y. D. Yang, Z. M. Zhang   +25 more
core   +1 more source

A Full Multigrid Method for Nonlinear Eigenvalue Problems

, 2015
This paper is to introduce a type of full multigrid method for the nonlinear eigenvalue problem. The main idea is to transform the solution of nonlinear eigenvalue problem into a series of solutions of the corresponding linear boundary value problems on ...
Jia, Shanghui, Xie, Hehu, Xie, Manting, Xu, Fei   +3 more
core   +1 more source

Analyzing Electronic Excitations and Exciton Binding Energies in Y6 Films

Advanced Functional Materials, EarlyView.
The Y6 molecule is used for increasing the efficiency of organic solar cells. The exciton binding energy is calculated for ensembles of Y6 molecules that are representative of the typically used films. The calculations show that the excitons typically spread out over many molecules.
Sahar Javaid Akram, Sophie Meißner, Stephan Kümmel   +2 more
wiley   +1 more source

Approximate solutions of the Fourth-Order Eigenvalue Problem

Journal of Advanced Research in Natural and Applied Sciences, 2022
In this paper, the differential transformation (DTM) and the Adomian decomposition (ADM) methods are proposed for solving fourth order eigenvalue problem. This fourth order eigenvalue problem has nonstrongly regular boundary conditions.
Derya Arslan
doaj   +1 more source

Asymptotic analysis on a pseudo-Hermitian Riemann-zeta Hamiltonian

, 2018
The differential-equation eigenvalue problem associated with a recently-introduced Hamiltonian, whose eigenvalues correspond to the zeros of the Riemann zeta function, is analyzed using Fourier and WKB analysis.
Bender, Carl M., Brody, Dorje C.
core   +1 more source