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dc.contributor.authorHundsdorfer, Willem
dc.contributor.authorMozartova, Anna
dc.contributor.authorSavcenco, Valeriu
dc.date.accessioned2016-02-25T13:43:03Z
dc.date.available2016-02-25T13:43:03Z
dc.date.issued2013
dc.identifier.citationHundsdorfer W, Mozartova A, Savcenco V (2013) Monotonicity Conditions for Multirate and Partitioned Explicit Runge-Kutta Schemes. Recent Developments in the Numerics of Nonlinear Hyperbolic Conservation Laws: 177–195. Available: http://dx.doi.org/10.1007/978-3-642-33221-0_11.
dc.identifier.issn1612-2909
dc.identifier.issn1860-0824
dc.identifier.doi10.1007/978-3-642-33221-0_11
dc.identifier.urihttp://hdl.handle.net/10754/598884
dc.description.abstractMultirate schemes for conservation laws or convection-dominated problems seem to come in two flavors: schemes that are locally inconsistent, and schemes that lack mass-conservation. In this paper these two defects are discussed for one-dimensional conservation laws. Particular attention will be given to monotonicity properties of the multirate schemes, such as maximum principles and the total variation diminishing (TVD) property. The study of these properties will be done within the framework of partitioned Runge-Kutta methods. It will also be seen that the incompatibility of consistency and mass-conservation holds for ‘genuine’ multirate schemes, but not for general partitioned methods.
dc.description.sponsorshipThe work of W. Hundsdorfer is supported by Award No. FIC/2010/05from King Abdullah University of Science and Technology (KAUST). The work ofA. Mozartova has been supported by a grant from the Netherlands Organisation for ScientificResearch NWO.
dc.publisherSpringer Nature
dc.titleMonotonicity Conditions for Multirate and Partitioned Explicit Runge-Kutta Schemes
dc.typeBook Chapter
dc.identifier.journalRecent Developments in the Numerics of Nonlinear Hyperbolic Conservation Laws
dc.contributor.institutionCWI, P.O. Box 94079, 1090-GB, Amsterdam, The Netherlands
dc.contributor.institutionDept. Mathematics, TU Eindhoven, P.O. Box 513, 5600 MB, Eindhoven, The Netherlands
kaust.grant.numberFIC/2010/05


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