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2005-11-04Buch DOI: 10.18452/2630
Numerically well formulated index-1 DAEs
dc.contributor.authorHigueras, Inmaculada
dc.contributor.authorMärz, Roswitha
dc.contributor.authorTischendorf, Caren
dc.date.accessioned2017-06-15T17:47:44Z
dc.date.available2017-06-15T17:47:44Z
dc.date.created2005-11-04
dc.date.issued2005-11-04
dc.identifier.issn0863-0976
dc.identifier.urihttp://edoc.hu-berlin.de/18452/3282
dc.description.abstractFor index-1 DAEs with properly stated leading term, we characterize dissipative and contractive flows and study how the qualitative properties of the DAE solutions are reflected by numerical approximations. The best situation occurs when the discretization and the decoupling procedure commute. It turns out out that this is the case if the relevant part of the inherent regular ODE has a constant state space. Different kinds of reformulations are studied to obtain numerically well formulated systems. Those reformulations might be expensive, hence, in order to avoid them, criteria ensuring the given DAE to be numerically equivalent to a numerically well formulated representation are proved.eng
dc.language.isoeng
dc.publisherHumboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, Institut für Mathematik
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/
dc.subjectdifferential algebraic equationseng
dc.subjectnumerical integration methodseng
dc.subjectglobal stabilityeng
dc.subject.ddc510 Mathematik
dc.titleNumerically well formulated index-1 DAEs
dc.typebook
dc.identifier.urnurn:nbn:de:kobv:11-10052647
dc.identifier.doihttp://dx.doi.org/10.18452/2630
dc.subject.dnb27 Mathematik
local.edoc.pages31
local.edoc.type-nameBuch
local.edoc.container-typeseries
local.edoc.container-type-nameSchriftenreihe
local.edoc.container-year2001
dc.identifier.zdb2075199-0
bua.series.namePreprints aus dem Institut für Mathematik
bua.series.issuenumber2001,5

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