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dc.creatorRosales, RR
dc.creatorSeibold, B
dc.creatorShirokoff, D
dc.creatorZhou, D
dc.date.accessioned2021-01-25T15:26:52Z
dc.date.available2021-01-25T15:26:52Z
dc.date.issued2017-01-01
dc.identifier.issn0036-1429
dc.identifier.issn1095-7170
dc.identifier.doihttp://dx.doi.org/10.34944/dspace/4947
dc.identifier.otherFO3WO (isidoc)
dc.identifier.urihttp://hdl.handle.net/20.500.12613/4965
dc.description.abstract© 2017 Society for Industrial and Applied Mathematics. This paper presents a new class of high order linear ImEx (implicit-explicit) multistep schemes with large regions of unconditional stability. Unconditional stability is a desirable property of a time stepping scheme, as it allows the choice of time step solely based on accuracy considerations. Of particular interest are problems for which both the implicit and explicit parts of the ImEx splitting are stiff. Such splittings can arise, for example, in variable coefficient problems, or the incompressible Navier-Stokes equations. To characterize the new ImEx schemes, an unconditional stability region is introduced, which plays a role analogous to that of the stability region in conventional multistep methods. Moreover, computable quantities (such as a numerical range) are provided that guarantee an unconditionally stable scheme for a proposed ImEx matrix splitting. The new approach is illustrated with several examples. Coefficients of the new schemes up to fifth order are provided.
dc.format.extent2336-2360
dc.language.isoen
dc.relation.haspartSIAM Journal on Numerical Analysis
dc.relation.isreferencedbySociety for Industrial & Applied Mathematics (SIAM)
dc.rightsAll Rights Reserved
dc.subjectlinear multistep ImEx
dc.subjectunconditional stability
dc.subjectImEx stability
dc.subjecthigh order time stepping
dc.titleUnconditional stability for multistep imex schemes: Theory
dc.typeArticle
dc.type.genrePre-print
dc.relation.doi10.1137/16M1094324
dc.ada.noteFor Americans with Disabilities Act (ADA) accommodation, including help with reading this content, please contact scholarshare@temple.edu
dc.date.updated2021-01-25T15:26:49Z
refterms.dateFOA2021-01-25T15:26:53Z


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