Stability of piecewise polynomial collocation for computing periodic solutions of delay differential equations
type: Item
instance of: scholarly article
title: Stability of piecewise polynomial collocation for computing periodic solutions of delay differential equations
zbMATH Open document ID: 1002.65089
published in: Numerische Mathematik
publication date: 2002-07-29T00:00:00Z
review text: The authors prove numerical stability for a class of piecewise polynomial collocation methods on nonuniform meshes for computing asymptotically stable and unstable periodic solutions of the linear equation \[ y'(t)= a(t) y(t)+ b(t) y(t-\tau)+ f(t) \] by a (periodic) boundary value approach. Some numerical results are presented.
reviewed by: Laura Iulia Aniţa
Mathematics Subject Classification ID: 65L60
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 65L50
Mathematics Subject Classification ID: 34K28
Mathematics Subject Classification ID: 34K13
zbMATH DE Number: 1773390
zbMATH Keywords: piecewise polynomial collocation methods
zbMATH Keywords: periodic solutions
zbMATH Keywords: delay differential equations
zbMATH Keywords: stability
zbMATH Keywords: nonuniform meshes
zbMATH Keywords: numerical results
author: Koen Engelborghs
author: Eusebius J. Doedel
describes a project that uses: COLNEW
describes a project that uses: COLSYS
MaRDI profile type: Publication
full work available at URL: s002110100313
OpenAlex ID: W2014898529
DOI: 10.1007/S002110100313
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description: scientific article; zbMATH DE number 1773390