Stability and error of the variable two-step BDF for parabolic problems

dc.contributor.authorEmmrich, Etienne
dc.date.accessioned2021-12-17T10:17:15Z
dc.date.available2021-12-17T10:17:15Z
dc.date.issued2000-11-01
dc.description.abstractThe temporal discretisation of a moderate semilinear parabolic problem in an abstract setting by means of the two-step backward differentiation formula with variable step sizes is analysed. Stability as well as optimal error estimates are derived for step size ratios bounded by 1.91.en
dc.identifier.issn2197-8085
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/15948
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-14721
dc.language.isoenen
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.ddc510 Mathematiken
dc.subject.othersemilinear parabolic problemen
dc.subject.othertime discretisationen
dc.subject.otherbackward differentiation formulaen
dc.subject.othernon-uniform griden
dc.subject.otherstabilityen
dc.subject.othererror estimateen
dc.titleStability and error of the variable two-step BDF for parabolic problemsen
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.issuenumber2000, 703en
tub.series.namePreprint-Reihe des Instituts für Mathematik, Technische Universität Berlinen
tub.subject.msc200065M12 Stability and convergence of numerical methodsen
tub.subject.msc200065J15 Equations with nonlinear operatorsen
tub.subject.msc200035K90 Abstract parabolic evolution equationsen
tub.subject.msc200047J35 Nonlinear evolution equationsen

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