Computing the stability regions of Hill's equation
type: Item
instance of: scholarly article
title: Computing the stability regions of Hill's equation
zbMATH Open document ID: 1071.65107
author: Svetlana V. Simakhina
author: Charles Tier
published in: Applied Mathematics and Computation
publication date: 2005-02-23T00:00:00Z
review text: This paper deals with the computation of the stability regions of Hill's equation [see \textit{M. I. Weinstein, J. B. Keller}, SIAM J. Appl. Math. 47, 941-958 (1987; Zbl 0652.34033)]. A numerical scheme is presented based on a spectral problem for the integral operator and using the improved Schwarz iteration. The numerical implementation of the method is illustrated on several examples.
reviewed by: Rudolf Scherer
Mathematics Subject Classification ID: 65L07
Mathematics Subject Classification ID: 34D20
Mathematics Subject Classification ID: 34B30
zbMATH DE Number: 2137710
zbMATH Keywords: Hill's equation
zbMATH Keywords: stability regions
zbMATH Keywords: integral operator
zbMATH Keywords: spectral problem
zbMATH Keywords: numerical examples
zbMATH Keywords: Schwarz iteration
MaRDI profile type: Publication
full work available at URL: j.amc.2004.01.002
OpenAlex ID: W2045645956
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DOI: 10.1016/J.AMC.2004.01.002
description: scientific article; zbMATH DE number 2137710