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dc.contributor.authorKunkel, Peter
dc.contributor.authorMehrmann, Volker
dc.date.accessioned2022-06-08T10:10:25Z
dc.date.available2022-06-08T10:10:25Z
dc.date.issued2022-06-08
dc.identifier.urihttp://publications.mfo.de/handle/mfo/3953
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.en_US
dc.language.isoen_USen_US
dc.publisherMathematisches Forschungsinstitut Oberwolfachen_US
dc.relation.ispartofseriesOberwolfach Preprints;2022-10
dc.subjectDifferential-algebraic equationen_US
dc.subjectInherent ordinary differential equationen_US
dc.subjectGeometric integrationen_US
dc.subjectSymplectic flowen_US
dc.subjectOrthogonal flowen_US
dc.titleDiscretization of Inherent ODEs and the Geometric Integration of DAEs with Symmetriesen_US
dc.typePreprinten_US
dc.identifier.doi10.14760/OWP-2022-10
local.scientificprogramOWRF 2021en_US
local.series.idOWP-2022-10en_US
local.subject.msc37en_US
local.subject.msc65en_US
dc.identifier.urnurn:nbn:de:101:1-2022112208370032578777
dc.identifier.ppn1823173438


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