Achieving Very High Order for Implicit Explicit Time Stepping: Extrapolation Methods

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dc.contributor.authorConstantinescu, Emil M.en
dc.contributor.authorSandu, Adrianen
dc.contributor.departmentComputer Scienceen
dc.date.accessioned2013-06-19T14:36:49Zen
dc.date.available2013-06-19T14:36:49Zen
dc.date.issued2008-07-01en
dc.description.abstractIn this paper we construct extrapolated implicit-explicit time stepping methods that allow to efficiently solve problems with both stiff and non-stiff components. The proposed methods can provide very high order discretizations of ODEs, index-1 DAEs, and PDEs in the method of lines framework. These methods are simple to construct, easy to implement and parallelize. We establish the existence of perturbed asymptotic expansions of global errors, explain the convergence orders of these methods, and explore their linear stability properties. Numerical results with stiff ODEs, DAEs, and PDEs illustrate the theoretical findings and the potential of these methods to solve multiphysics multiscale problems.en
dc.format.mimetypeapplication/pdfen
dc.identifierhttp://eprints.cs.vt.edu/archive/00001037/en
dc.identifier.sourceurlhttp://eprints.cs.vt.edu/archive/00001037/01/ExImex.pdfen
dc.identifier.trnumberTR-08-13en
dc.identifier.urihttp://hdl.handle.net/10919/19707en
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.titleAchieving Very High Order for Implicit Explicit Time Stepping: Extrapolation Methodsen
dc.typeTechnical reporten
dc.type.dcmitypeTexten

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