Numerical methods for higher order Sturm-Liouville problems
type: Item
instance of: scholarly article
title: Numerical methods for higher order Sturm-Liouville problems
zbMATH Open document ID: 0970.65087
DOI: 10.1016/S0377-0427(00)00480-5
author: Leon Greenberg
author: Marco Marletta
published in: Journal of Computational and Applied Mathematics
publication date: 2001-02-18T00:00:00Z
review text: The authors review some efficient numerical methods for certain classes of linear selfadjoint and non-selfadjoint eigenvalue problems, respectively, where they concentrate on methods treated in their own work. For a class of \(2m\)th-order selfadjoint problems, the numerical schemes yield approximations to eigensolutions and to the counting function \(N(\lambda)\) as well. For a class of non-selfadjoint problems exhibiting the so-called Birkhoff regularity, the numerical code can find eigenvalues \(\lambda\) in a rectangular, left half plane, or vertical strip. Numerical results are presented.
Mathematics Subject Classification ID: 65L15
Mathematics Subject Classification ID: 34L16
Mathematics Subject Classification ID: 34B24
zbMATH DE Number: 1566024
zbMATH Keywords: higher-order Sturm-Liouville eigenvalue problems
zbMATH Keywords: selfadjoint problems
zbMATH Keywords: non-selfadjoint problems
zbMATH Keywords: numerical results
zbMATH Keywords: eigensolutions
zbMATH Keywords: Birkhoff regularity
reviewed by: Waldemar Velte
describes a project that uses: SLEUTH
describes a project that uses: aicm
MaRDI profile type: Publication
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Wikidata QID: Q127124558
description: scientific article; zbMATH DE number 1566024