Efficient integration of matrix-valued non-stiff DAEs by half-explicit methods

dc.contributor.authorLinh, Vu Hoang
dc.contributor.authorMehrmann, Volker
dc.date.accessioned2021-12-17T10:09:35Z
dc.date.available2021-12-17T10:09:35Z
dc.date.issued2011-08-29
dc.description.abstractNumerical integration methods for nonlinear differential-algebraic equations (DAEs) in strangeness-free form are studied. In particular, half-explicit methods based on popular explicit methods like one-leg methods, linear multi-step methods, and Runge-Kutta methods are proposed and analyzed. Compared with well-known implicit methods for DAEs, these half-explicit methods demonstrate their efficiency particularly for a special class of semi-linear matrix DAEs which arise in the numerical computation of spectral intervals for DAEs. Numerical experiments illustrate the theoretical results.en
dc.identifier.issn2197-8085
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/15714
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-14487
dc.language.isoenen
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.ddc510 Mathematiken
dc.subject.otherdifferential-algebraic equationen
dc.subject.otherstrangeness indexen
dc.subject.otherhalf-explicit methodsen
dc.subject.otherone-leg methodsen
dc.subject.otherlinear multi-step methodsen
dc.subject.otherRunge-Kutta methodsen
dc.subject.otherspectral intervalsen
dc.titleEfficient integration of matrix-valued non-stiff DAEs by half-explicit methodsen
dc.typeResearch Paperen
dc.type.versionsubmittedVersionen
tub.accessrights.dnbfreeen
tub.affiliationFak. 2 Mathematik und Naturwissenschaften>Inst. Mathematikde
tub.affiliation.facultyFak. 2 Mathematik und Naturwissenschaftende
tub.affiliation.instituteInst. Mathematikde
tub.publisher.universityorinstitutionTechnische Universität Berlinen
tub.series.issuenumber2011, 16en
tub.series.namePreprint-Reihe des Instituts für Mathematik, Technische Universität Berlinen
tub.subject.msc200065L07 Numerical investigation of stability of solutionsen
tub.subject.msc200065L80 Methods for differential-algebraic equationsen
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