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dc.contributor.authorHundsdorfer, W.
dc.contributor.authorMozartova, A.
dc.contributor.authorSpijker, M. N.
dc.date.accessioned2016-02-28T06:08:34Z
dc.date.available2016-02-28T06:08:34Z
dc.date.issued2011-04-29
dc.identifier.citationHundsdorfer W, Mozartova A, Spijker MN (2011) Stepsize Restrictions for Boundedness and Monotonicity of Multistep Methods. Journal of Scientific Computing 50: 265–286. Available: http://dx.doi.org/10.1007/s10915-011-9487-1.
dc.identifier.issn0885-7474
dc.identifier.issn1573-7691
dc.identifier.doi10.1007/s10915-011-9487-1
dc.identifier.urihttp://hdl.handle.net/10754/599733
dc.description.abstractIn this paper nonlinear monotonicity and boundedness properties are analyzed for linear multistep methods. We focus on methods which satisfy a weaker boundedness condition than strict monotonicity for arbitrary starting values. In this way, many linear multistep methods of practical interest are included in the theory. Moreover, it will be shown that for such methods monotonicity can still be valid with suitable Runge-Kutta starting procedures. Restrictions on the stepsizes are derived that are not only sufficient but also necessary for these boundedness and monotonicity properties. © 2011 Springer Science+Business Media, LLC.
dc.description.sponsorshipThe work of A. Mozartova is supported by a grant from the Netherlands Organisation for Scientific Research NWO. The work of W. Hundsdorfer for this publication was partially supported by Award No. FIC/2010/05 from King Abdullah University of Science and Technology (KAUST).
dc.publisherSpringer Nature
dc.subjectBoundedness
dc.subjectInitial value problem
dc.subjectMethod of lines (MOL)
dc.subjectMonotonicity
dc.subjectMultistep methods
dc.subjectStrong-stability-preserving (SSP)
dc.subjectTotal-variation-bounded (TVB)
dc.subjectTotal-variation-diminishing (TVD)
dc.titleStepsize Restrictions for Boundedness and Monotonicity of Multistep Methods
dc.typeArticle
dc.identifier.journalJournal of Scientific Computing
dc.contributor.institutionCentrum voor Wiskunde en Informatica, Amsterdam, Netherlands
dc.contributor.institutionLeiden University, Leiden, Netherlands
kaust.grant.numberFIC/2010/05
dc.date.published-online2011-04-29
dc.date.published-print2012-02


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