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dc.contributor.authorParsani, Matteo
dc.contributor.authorKetcheson, David I.
dc.contributor.authorDeconinck, Willem
dc.date.accessioned2014-11-04T08:52:02Z
dc.date.available2014-11-04T08:52:02Z
dc.date.issued2012
dc.identifier.urihttp://hdl.handle.net/10754/333613
dc.description.abstractOptimal explicit Runge-Kutta (ERK) schemes with large stable step sizes are developed for method-of-lines discretizations based on the spectral difference (SD) spatial discretization on quadrilateral grids. These methods involve many stages and provide the optimal linearly stable time step for a prescribed SD spectrum and the minimum leading truncation error coefficient, while admitting a low-storage implementation. Using a large number of stages, the new ERK schemes lead to efficiency improvements larger than 60% over standard ERK schemes for 4th- and 5th-order spatial discretization.
dc.language.isoen
dc.publisherUniversity of Oulu
dc.relation.urlhttp://www.oulu.fi/mekapaivat2012/meka2012_proceedings.pdf
dc.subjectOptimized explicit Runge-Kutta
dc.subjectHigh-order spectral difference method
dc.subjectWave propagation
dc.titleOptimized low-order explicit Runge-Kutta schemes for high- order spectral difference method
dc.typeConference Paper
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.contributor.departmentNumerical Mathematics Group
dc.identifier.journalProceedings of the 11th Finnish Mechanics Days
dc.eprint.versionPublisher's Version/PDF
dc.contributor.institutionVrije Universiteit Brussel, Department of Mechanical Engineering, , Pleinlaan 2, 1050 Brussels. Belgium
refterms.dateFOA2018-06-14T07:15:22Z


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