Discretization of Inherent ODEs and the Geometric Integration of DAEs with Symmetries

Simple item page
dc.bibliographicCitation.seriesTitleOberwolfach Preprints (OWP)
dc.bibliographicCitation.volume10
dc.contributor.authorKunkel, Peter
dc.contributor.authorMehrmann, Volker
dc.date.accessioned2024-10-17T05:34:16Z
dc.date.available2024-10-17T05:34:16Z
dc.date.issued2022
dc.description.abstractDiscretization methods for differential-algebraic equations (DAEs) are considered that are based on the integration of an associated inherent ordinary differential equation (ODE). This allows to make use of any discretization scheme suitable for the numerical integration of ODEs. For DAEs with symmetries it is shown that the inherent ODE can be constructed in such a way that it inherits the symmetry properties of the given DAE and geometric properties of its flow. This in particular allows the use of geometric integration schemes with a numerical flow that has analogous geometric properties.
dc.description.versionpublishedVersion
dc.identifier.urihttps://oa.tib.eu/renate/handle/123456789/16977
dc.identifier.urihttps://doi.org/10.34657/15999
dc.language.isoeng
dc.publisherOberwolfach : Mathematisches Forschungsinstitut Oberwolfach
dc.relation.doihttps://doi.org/10.14760/OWP-2022-10
dc.relation.issn1864-7596
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.
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.
dc.subjectDifferential-algebraic equation
dc.subjectInherent ordinary differential equation
dc.subjectGeometric integration
dc.subjectSymplectic flow
dc.subjectOrthogonal flow
dc.subject.ddc510
dc.titleDiscretization of Inherent ODEs and the Geometric Integration of DAEs with Symmetries
dc.typeReport
dc.typeText
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
OWP2022_10.pdf
Size:
396.04 KB
Format:
Adobe Portable Document Format
Description:
Download
Collections
Oberwolfach Preprints (OWP)