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2005-11-03Buch DOI: 10.18452/2608
General linear methods for linear DAEs
dc.contributor.authorSchulz, Steffen
dc.date.accessioned2017-06-15T17:42:40Z
dc.date.available2017-06-15T17:42:40Z
dc.date.created2005-11-03
dc.date.issued2005-11-03
dc.identifier.issn0863-0976
dc.identifier.urihttp://edoc.hu-berlin.de/18452/3260
dc.description.abstractFor linear differential-algebraic equations (DAEs) with properly stated leading terms the property of being numerically qualified guarantees that qualitative properties of DAE solutions are reflected by the numerical approximations. In this case BDF and Runge-Kutta methods integrate the inherent regular ODE. Here, we extend these results to general linear methods. We show how general linear methods having stiff accuracy can be applied to linear DAEs of index 1 and 2. In addition to the order conditions for ODEs, general linear methods for DAEs have to satisfy additional conditions. As general linear methods require a starting procedure to start the integration we put special emphasis on finding suitable starting methods for index-2 DAEs.eng
dc.language.isoeng
dc.publisherHumboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, Institut für Mathematik
dc.subjectdifferential-algebraic equationseng
dc.subjectMethods for differential-algebraic equationseng
dc.subjectImplicit equationseng
dc.subjectMultistepeng
dc.subjectRunge-Kutta and extrapolation methodseng
dc.subject.ddc510 Mathematik
dc.titleGeneral linear methods for linear DAEs
dc.typebook
dc.identifier.urnurn:nbn:de:kobv:11-10052422
dc.identifier.doihttp://dx.doi.org/10.18452/2608
local.edoc.container-titlePreprints aus dem Institut für Mathematik
local.edoc.pages15
local.edoc.type-nameBuch
local.edoc.container-typeseries
local.edoc.container-type-nameSchriftenreihe
local.edoc.container-volume2003
local.edoc.container-issue10
local.edoc.container-year2003
local.edoc.container-erstkatid2075199-0

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