A class of implicit-explicit two-step Runge-Kutta methods

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dc.contributor.authorZharovski, Evgeniyen
dc.contributor.authorSandu, Adrianen
dc.contributor.departmentComputer Scienceen
dc.date.accessioned2013-06-19T14:36:03Zen
dc.date.available2013-06-19T14:36:03Zen
dc.date.issued2012-02-01en
dc.description.abstractThis work develops implicit-explicit time integrators based on two-step Runge-Kutta methods. The class of schemes of interest is characterized by linear invariant preservation and high stage orders. Theoretical consistency and stability analyses are performed to reveal the properties of these methods. The new framework offers extreme flexibility in the construction of partitioned integrators, since no coupling conditions are necessary. Moreover, the methods are not plagued by severe order reduction, due to their high stage orders. Two practical schemes of orders four and six are constructed, and are used to solve several test problems. Numerical results confirm the theoretical findings.en
dc.format.mimetypeapplication/pdfen
dc.identifierhttp://eprints.cs.vt.edu/archive/00001183/en
dc.identifier.sourceurlhttp://eprints.cs.vt.edu/archive/00001183/01/IMEX_TSRK.pdfen
dc.identifier.trnumberTR-12-08en
dc.identifier.urihttp://hdl.handle.net/10919/19400en
dc.language.isoenen
dc.publisherDepartment of Computer Science, Virginia Polytechnic Institute & State Universityen
dc.relation.ispartofComputer Science Technical Reportsen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectNumerical analysisen
dc.titleA class of implicit-explicit two-step Runge-Kutta methodsen
dc.typeTechnical reporten
dc.type.dcmitypeTexten

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