Analysis and Numerical Solution of Linear Delay Differential-Algebraic Equations
dc.contributor.author | Ha, Phi | |
dc.contributor.author | Mehrmann, Volker | |
dc.date.accessioned | 2021-12-17T10:11:46Z | |
dc.date.available | 2021-12-17T10:11:46Z | |
dc.date.issued | 2014-12-30 | |
dc.description.abstract | The 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.issn | 2197-8085 | |
dc.identifier.uri | https://depositonce.tu-berlin.de/handle/11303/15793 | |
dc.identifier.uri | http://dx.doi.org/10.14279/depositonce-14566 | |
dc.language.iso | en | en |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | en |
dc.subject.ddc | 510 Mathematik | en |
dc.subject.other | delay differential-algebraic equation | en |
dc.subject.other | differential-algebraic equation | en |
dc.subject.other | delay differential equations | en |
dc.subject.other | method of steps | en |
dc.subject.other | derivative array | en |
dc.subject.other | classification of DDAEs | en |
dc.title | Analysis and Numerical Solution of Linear Delay Differential-Algebraic Equations | en |
dc.type | Research Paper | en |
dc.type.version | submittedVersion | en |
tub.accessrights.dnb | free | en |
tub.affiliation | Fak. 2 Mathematik und Naturwissenschaften::Inst. Mathematik | de |
tub.affiliation.faculty | Fak. 2 Mathematik und Naturwissenschaften | de |
tub.affiliation.institute | Inst. Mathematik | de |
tub.publisher.universityorinstitution | Technische Universität Berlin | en |
tub.series.issuenumber | 2014, 42 | en |
tub.series.name | Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin | en |
tub.subject.msc2000 | 34A09 Implicit equations, differential-algebraic equations | en |
tub.subject.msc2000 | 34A12 Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions | en |
tub.subject.msc2000 | 65L05 Initial value problems | en |
tub.subject.msc2000 | 65H10 Systems of equations | en |
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