Analysis and Numerical Solution of Linear Delay Differential-Algebraic Equations

dc.contributor.authorHa, Phi
dc.contributor.authorMehrmann, Volker
dc.date.accessioned2021-12-17T10:11:46Z
dc.date.available2021-12-17T10:11:46Z
dc.date.issued2014-12-30
dc.description.abstractThe analysis and numerical solution of initial value problems for linear delay differential-algebraic equations (DDAEs) is discussed. Characteristic properties of DDAEs are analyzed and the differences between causal and noncausal DDAEs are studied. The method of steps is analyzed and it is shown that it has to be modified for general DDAEs. The classification of ordinary delay differential equations (DDEs) is generalized to DDAEs, and a numerical solution procedure for general retarded and neutral DDAEs is constructed. The properties of the algorithm are studied and the theoretical results are illustrated with a numerical example.en
dc.identifier.issn2197-8085
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/15793
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-14566
dc.language.isoenen
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.ddc510 Mathematiken
dc.subject.otherdelay differential-algebraic equationen
dc.subject.otherdifferential-algebraic equationen
dc.subject.otherdelay differential equationsen
dc.subject.othermethod of stepsen
dc.subject.otherderivative arrayen
dc.subject.otherclassification of DDAEsen
dc.titleAnalysis and Numerical Solution of Linear Delay Differential-Algebraic Equationsen
dc.typeResearch Paperen
dc.type.versionsubmittedVersionen
tub.accessrights.dnbfreeen
tub.affiliationFak. 2 Mathematik und Naturwissenschaften::Inst. Mathematikde
tub.affiliation.facultyFak. 2 Mathematik und Naturwissenschaftende
tub.affiliation.instituteInst. Mathematikde
tub.publisher.universityorinstitutionTechnische Universität Berlinen
tub.series.issuenumber2014, 42en
tub.series.namePreprint-Reihe des Instituts für Mathematik, Technische Universität Berlinen
tub.subject.msc200034A09 Implicit equations, differential-algebraic equationsen
tub.subject.msc200034A12 Initial value problems, existence, uniqueness, continuous dependence and continuation of solutionsen
tub.subject.msc200065L05 Initial value problemsen
tub.subject.msc200065H10 Systems of equationsen

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