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dc.contributor.authorAltmann, Robert
dc.contributor.authorZimmer, Christoph
dc.date.accessioned2021-12-17T10:14:23Z-
dc.date.available2021-12-17T10:14:23Z-
dc.date.issued2016-03-16
dc.identifier.issn2197-8085
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/15874-
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-14647-
dc.description.abstractAs a first step towards time-stepping schemes for constrained PDE systems, this paper presents convergence results for the temporal discretization of operator DAEs. We consider linear, semi-explicit systems which includes e.g. the Stokes equations or applications with boundary control. To guarantee unique approximations, we restrict the analysis to algebraically stable Runge-Kutta methods for which the stability functions satisfy R(∞)=0. As expected from the theory of DAEs, the convergence properties of the single variables differ and depend strongly on the assumed smoothness of the data.en
dc.language.isoenen
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.ddc510 Mathematiken
dc.subject.otheroperator DAEsen
dc.subject.otherPDAEsen
dc.subject.otherRunge-Kutta methodsen
dc.subject.otherimplicit Euler schemeen
dc.subject.otherregularizationen
dc.titleRunge-Kutta Methods for Linear Semi-explicit Operator Differential-algebraic Equationsen
dc.typeResearch Paperen
tub.accessrights.dnbfreeen
tub.publisher.universityorinstitutionTechnische Universität Berlinen
tub.series.issuenumber2016, 10en
tub.series.namePreprint-Reihe des Instituts für Mathematik, Technische Universität Berlinen
dc.type.versionsubmittedVersionen
tub.affiliationFak. 2 Mathematik und Naturwissenschaften » Inst. Mathematikde
tub.subject.msc200065J10 Equations with linear operatorsen
tub.subject.msc200065L80 Methods for differential-algebraic equationsen
tub.subject.msc200065M12 Stability and convergence of numerical methodsen
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