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2005-11-04Buch DOI: 10.18452/2635
Numerically well formulated index-2 DAEs
dc.contributor.authorHigueras, Inmaculada
dc.contributor.authorMärz, Roswitha
dc.contributor.authorTischendorf, Caren
dc.date.accessioned2017-06-15T17:48:44Z
dc.date.available2017-06-15T17:48:44Z
dc.date.created2005-11-04
dc.date.issued2005-11-04
dc.identifier.issn0863-0976
dc.identifier.urihttp://edoc.hu-berlin.de/18452/3287
dc.description.abstractFor linear index-2 DAEs with properly stated leading term we characterize contractive and dissipative flows. We study under which conditions the qualitative properties of the DAE solutions are reflected by the numerical approximations. This is the case if the discretisation and the decoupling processes commute. Commutativity is achieved if two subspaces associated with the index-2 DAE are constant; in this case we say that the index-2 DAE is numerically well formulated. If both subspaces are time dependent, the problem should be reformulated; in order to avoid numerically equivalent reformulations, a criterion is given. If only one of these subspaces is constant, the problem is in some sense close to a numerically well formulated one and thus depending on the problem context, no reformulations are needed. Contractive and dissipative flows induced by the DAE are characterized and results on qualitative properties of the numerical solution are given.eng
dc.language.isoeng
dc.publisherHumboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, Institut für Mathematik
dc.subjectDAEeng
dc.subjectBDFeng
dc.subjectdifferential algebraic equationseng
dc.subjectnumerical integration methodseng
dc.subjectglobal stabilityeng
dc.subjectRunge-Kuttaeng
dc.subject.ddc510 Mathematik
dc.titleNumerically well formulated index-2 DAEs
dc.typebook
dc.identifier.urnurn:nbn:de:kobv:11-10052697
dc.identifier.doihttp://dx.doi.org/10.18452/2635
dc.subject.dnb27 Mathematik
local.edoc.container-titlePreprints aus dem Institut für Mathematik
local.edoc.pages9
local.edoc.type-nameBuch
local.edoc.container-typeseries
local.edoc.container-type-nameSchriftenreihe
local.edoc.container-volume2001
local.edoc.container-issue10
local.edoc.container-year2001
local.edoc.container-erstkatid2075199-0

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