Update on Multirate Timestepping Methods for Hyperbolic Conservation Laws

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dc.contributor.authorConstantinescu, Emil M.en
dc.contributor.authorSandu, Adrianen
dc.contributor.departmentComputer Scienceen
dc.date.accessioned2013-06-19T14:36:21Zen
dc.date.available2013-06-19T14:36:21Zen
dc.date.issued2007-03-01en
dc.description.abstractThis paper constructs multirate time discretizations for hyperbolic conservation laws that allow different timesteps to be used in different parts of the spatial domain. The proposed family of discretizations is second order accurate in time and has conservation and linear and nonlinear stability properties under local CFL conditions. Multirate timestepping avoids the necessity to take small global timesteps (restricted by the largest value of the Courant number on the grid) and therefore results in more efficient algorithms. Numerical results obtained for the advection and Burgers equations confirm the theoretical findings.en
dc.format.mimetypeapplication/pdfen
dc.identifierhttp://eprints.cs.vt.edu/archive/00000955/en
dc.identifier.sourceurlhttp://eprints.cs.vt.edu/archive/00000955/01/TR_07_12_MRK.pdfen
dc.identifier.trnumberTR-07-12en
dc.identifier.urihttp://hdl.handle.net/10919/19685en
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.titleUpdate on Multirate Timestepping Methods for Hyperbolic Conservation Lawsen
dc.typeTechnical reporten
dc.type.dcmitypeTexten

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