Zur Kurzanzeige

2005-11-09Buch DOI: 10.18452/2663
Analyzing the stability behaviour of DAE solutions and their approximations
dc.contributor.authorMärz, Roswitha
dc.contributor.authorSantiesteban, Antonio R. Rodríguez
dc.date.accessioned2017-06-15T17:54:09Z
dc.date.available2017-06-15T17:54:09Z
dc.date.created2005-11-09
dc.date.issued2005-11-09none
dc.identifier.urihttp://edoc.hu-berlin.de/18452/3315
dc.description.abstractNew stability results are proved for linear index-2 differential algebraic equations (DAE). They are obtained by means of an improved projector decoupling. On the background of logarithmic norms related to invariant subspaces, contractivity is considered. The asymptotical behaviour of approximations generated by the BDF as well as by IRK and PIRK methods is analyzed in some detail. In particular, under weaker invariance conditions than used by Hanke, Macana and Maerz (1998), it is shown that standard properties known from the case of regular ODEs like A-stability, B-stability etc. apply also to index-2 DAEs. Moreover, the same invariance condition permits index reduction by differentiating constraints and discretization to commute.eng
dc.language.isoeng
dc.publisherHumboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, Institut für Mathematik
dc.relation.ispartofseriesPreprints aus dem Institut für Mathematik - 2, Mathematik-Preprints, ISSN:0863-0976
dc.subjectDifferential algebraic equationseng
dc.subjectnumerical stabilityeng
dc.subjectlogarithmic normseng
dc.subjectcontractivityeng
dc.subject.ddc510 Mathematik
dc.titleAnalyzing the stability behaviour of DAE solutions and their approximations
dc.typebook
dc.identifier.urnurn:nbn:de:kobv:11-10053207
dc.identifier.doihttp://dx.doi.org/10.18452/2663
dc.subject.dnb27 Mathematik
local.edoc.container-titlePreprints aus dem Institut für Mathematik
local.edoc.container-titleMathematik-Preprints
local.edoc.container-issn0863-0976
local.edoc.pages19
local.z-edoc.journal-periodikumAusgabe2,
local.edoc.type-nameBuch
local.edoc.container-typeseries
local.edoc.container-type-nameSchriftenreihe
local.edoc.container-volume1999
local.edoc.container-issue2
local.edoc.container-year1999

Zur Kurzanzeige