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2005-11-16Buch DOI: 10.18452/2705
On asymptotics in case of linear index-2 differential-algebraic equations
dc.contributor.authorHanke, Michael
dc.contributor.authorMacana, Ebroul Izquierdo
dc.contributor.authorMärz, Roswitha
dc.date.accessioned2017-06-15T18:02:08Z
dc.date.available2017-06-15T18:02:08Z
dc.date.created2005-11-16
dc.date.issued2005-11-16
dc.identifier.issn0863-0976
dc.identifier.urihttp://edoc.hu-berlin.de/18452/3357
dc.description.abstractAsymptotic properties of solutions of general linear differential-algebraic equations (DAE's) and those of their numerical counterparts are discussed. New results on the asymptotic stability in the sense of Lyapunov as well as on contractive index-2 DAE's are given. The behaviour of BDF, IRK, and PIRK applied to such systems is investigated. In particular, we clarify the significance of certain subspaces closely related to the geometry of the DAE. Asymptotic properties like A-stability and L-stability are shown to be preserved if these subspaces are constant. Moreover, algebraically stable IRK(DAE) are B-stable under this condition. The general results are specialized to the case of index-2 Hessenberg systems.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.subjectstabilityeng
dc.subjectdifferential-algebraic equationeng
dc.subjectbackward differentiation formulaseng
dc.subjectasymptotic propertieseng
dc.subjectRunge-Kutta methodeng
dc.subject.ddc510 Mathematik
dc.titleOn asymptotics in case of linear index-2 differential-algebraic equations
dc.typebook
dc.identifier.urnurn:nbn:de:kobv:11-10053790
dc.identifier.doihttp://dx.doi.org/10.18452/2705
local.edoc.pages21
local.edoc.type-nameBuch
local.edoc.container-typeseries
local.edoc.container-type-nameSchriftenreihe
local.edoc.container-year1997
dc.identifier.zdb2075199-0
bua.series.namePreprints aus dem Institut für Mathematik
bua.series.issuenumber1997,3

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