Computable bounds for eigenvalues and eigenfunctions of elliptic differential operators
type: Item
instance of: scholarly article
title: Computable bounds for eigenvalues and eigenfunctions of elliptic differential operators
zbMATH Open document ID: 0662.65094
DOI: 10.1007/BF01396975
author: Georg Still
published in: Numerische Mathematik
publication date: 1988-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/133314
review text: Given an approximate eigenfunction for a self-adjoint operator not necessarily lying in its domain, bounds for an eigenvalue and eigenfunction are given. The method is applied to the L-shaped membrane. Some of the results were published twenty years ago and a search of the scientific citation index (or of the Zentralblatt (MATH database)) would have yielded some of these omitted references.
Mathematics Subject Classification ID: 65N25
Mathematics Subject Classification ID: 35P15
Mathematics Subject Classification ID: 47F05
Mathematics Subject Classification ID: 47A10
zbMATH DE Number: 4082898
zbMATH Keywords: elliptic differential operators
zbMATH Keywords: eigenvalue bounds
zbMATH Keywords: self-adjoint operator
zbMATH Keywords: eigenfunction
MaRDI profile type: Publication
cites work: The Rotation of Eigenvectors by a Perturbation. III
cites work: Eigenvalues of Membranes with Reentrant Corners
cites work: On the Rate of Convergence of the Bergman–Vekua Method for the Numerical Solution of Elliptic Boundary Value Problems
cites work: Approximations and Bounds for Eigenvalues of Elliptic Operators
cites work: Q5187597
cites work: Q3675430
cites work: Q3470840
cites work: Erweiterte Symmetrieeigenschaften von Lösungen gewisser linearer Rand- und Eigenwertprobleme.
cites work: Q3695015
cites work: Q3783089
cites work: Accurate Numerical Approximations of Eigenfrequencies and Eigenfunctions of Elliptic Membranes
cites work: Laguere’s Method and a Circle which Contains at Least One Zero of a Polynomial
cites work: Remarks on a Stekloff Eigenvalue Problem
cites work: Bounding Eigenvalues of Elliptic Operators
cites work: Eigenvalues of the Laplacian in Two Dimensions
cites work: Q3270785
cites work: Bounds for Eigenvalues and Eigenvectors of Symmetric Operators
cites work: Extension of a Recent Paper by Fox, Henrici and Moler on Eigenvalues of Elliptic Operators
cites work: Constructive Approximation of Solutions to Linear Elliptic Boundary Value Problems
cites work: Error and Perturbation Bounds for Subspaces Associated with Certain Eigenvalue Problems
cites work: Q5523974
cites work: Q3873024
cites work: Rigorous Error Bounds for Computer Eigensystems
description: scientific article; zbMATH DE number 4082898