Multirate implicit Euler schemes for a class of differential-algebraic equations of index-1

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dc.contributor.authorHachtel, Christophen
dc.contributor.authorBartel, Andreasen
dc.contributor.authorGuenther, Michaelen
dc.contributor.authorSandu, Adrianen
dc.date.accessioned2022-02-27T04:09:47Zen
dc.date.available2022-02-27T04:09:47Zen
dc.date.issued2021-05-15en
dc.date.updated2022-02-27T04:09:44Zen
dc.description.abstractSystems of differential equations which consist of subsystems with widely different dynamical behaviour can be integrated by multirate time integration schemes to increase the efficiency. These schemes allow the usage of inherent step sizes according to the dynamical properties of the subsystem. In this paper, we extend the multirate implicit Euler method to semi-explicit differential–algebraic equations of index-1 where the algebraic constraints only occur in the slow changing subsystem. We discuss different coupling approaches and show that consistency and convergence order 1 can be reached. Numerical experiments validate the analytical results.en
dc.description.versionAccepted versionen
dc.format.extent12 page(s)en
dc.format.mimetypeapplication/pdfen
dc.identifierARTN 112499 (Article number)en
dc.identifier.doihttps://doi.org/10.1016/j.cam.2019.112499en
dc.identifier.eissn1879-1778en
dc.identifier.issn0377-0427en
dc.identifier.orcidSandu, Adrian [0000-0002-5380-0103]en
dc.identifier.urihttp://hdl.handle.net/10919/108895en
dc.identifier.volume387en
dc.language.isoenen
dc.publisherElsevieren
dc.relation.urihttp://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000614702800028&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=930d57c9ac61a043676db62af60056c1en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectMathematics, Applieden
dc.subjectMathematicsen
dc.subjectNumerical analysisen
dc.subjectDifferential-algebraic equationsen
dc.subjectMultirate time integrationen
dc.subjectNumerical & Computational Mathematicsen
dc.subject0102 Applied Mathematicsen
dc.subject0103 Numerical and Computational Mathematicsen
dc.subject0906 Electrical and Electronic Engineeringen
dc.titleMultirate implicit Euler schemes for a class of differential-algebraic equations of index-1en
dc.title.serialJournal of Computational and Applied Mathematicsen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten
dc.type.otherArticleen
dc.type.otherProceedings Paperen
dc.type.otherMeetingen
dc.type.otherJournalen
pubs.organisational-group/Virginia Techen
pubs.organisational-group/Virginia Tech/Engineeringen
pubs.organisational-group/Virginia Tech/Engineering/Computer Scienceen
pubs.organisational-group/Virginia Tech/All T&R Facultyen
pubs.organisational-group/Virginia Tech/Engineering/COE T&R Facultyen

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