Multirate explicit Adams methods for time integration of conservation laws

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dc.contributor.authorSandu, Adrianen
dc.contributor.authorConstantinescu, Emil M.en
dc.contributor.departmentComputer Scienceen
dc.date.accessioned2013-06-19T14:37:13Zen
dc.date.available2013-06-19T14:37:13Zen
dc.date.issued2007-08-01en
dc.description.abstractThis paper constructs multirate linear multistep time discretizations based on Adams-Bashforth methods. These methods are aimed at solving conservation laws and 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 computations. 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/00000989/en
dc.identifier.sourceurlhttp://eprints.cs.vt.edu/archive/00000989/01/mradams.pdfen
dc.identifier.trnumberTR-07-30en
dc.identifier.urihttp://hdl.handle.net/10919/19822en
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.titleMultirate explicit Adams methods for time integration of conservation lawsen
dc.typeTechnical reporten
dc.type.dcmitypeTexten

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