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dc.contributor.authorAltmann, Robert
dc.contributor.authorZimmer, Christoph
dc.date.accessioned2019-02-11T12:48:47Z
dc.date.available2019-02-11T12:48:47Z
dc.date.issued2019-02-12
dc.identifier.urihttp://publications.mfo.de/handle/mfo/1402
dc.description.abstractWe consider partial differential equations on networks with a small parameter $\epsilon$, which are hyperbolic for $\epsilon>0$ and parabolic for $\epsilon=0$. With a combination of an $\epsilon$-expansion and Runge-Kutta schemes for constrained systems of parabolic type, we derive a new class of time discretization schemes for hyperbolic systems on networks, which are constrained due to interconnection conditions. For the analysis we consider the coupled system equations as partial differential-algebraic equations based on the variational formulation of the problem. We discuss well-posedness of the resulting systems and estimate the error caused by the $\epsilon$-expansion.en_US
dc.language.isoen_USen_US
dc.publisherMathematisches Forschungsinstitut Oberwolfachen_US
dc.relation.ispartofseriesOberwolfach Preprints;2019,03
dc.subjectDifferential equations on networksen_US
dc.subjectCoupled systemsen_US
dc.subjectHyperbolic equationsen_US
dc.subjectTime discretizationen_US
dc.subjectPDAEen_US
dc.titleTime Discretization Schemes for Hyperbolic Systems on Networks by ε-Expansionen_US
dc.typePreprinten_US
dc.rights.licenseDieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.de
dc.rights.licenseThis document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.en
dc.identifier.doi10.14760/OWP-2019-03
local.scientificprogramResearch in Pairs 2018en_US
local.series.idOWP-2019-03en_US
local.subject.msc35en_US
local.subject.msc65en_US
dc.identifier.urnurn:nbn:de:101:1-2019022712431229546341c
dc.identifier.ppn1655534114


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