Exponential-Krylov methods for ordinary differential equations

dc.contributor.authorTranquilli, Paulen
dc.contributor.authorSandu, Adrianen
dc.contributor.departmentComputer Scienceen
dc.date.accessioned2017-03-06T18:39:54Zen
dc.date.available2017-03-06T18:39:54Zen
dc.date.issued2014-12-01en
dc.description.abstractThis paper develops a new family of exponential time discretization methods called exponential-Krylov (<sub>EXP</sub>K). The new schemes treat the time discretization and the Krylov based approximation of exponential matrix-vector products as a single computational process. The classical order conditions theory developed herein accounts for both the temporal and the Krylov approximation errors. Unlike traditional exponential schemes, <sub>EXP</sub>K methods require the construction of only a single Krylov space at each timestep. The number of basis vectors that guarantee the temporal order of accuracy does not depend on the application at hand. Numerical results show favorable properties of <sub>EXP</sub>K methods when compared to current exponential schemes.en
dc.description.versionPublished versionen
dc.format.extent31 - 46 (16) page(s)en
dc.identifier.doihttps://doi.org/10.1016/j.jcp.2014.08.013en
dc.identifier.issn0021-9991en
dc.identifier.urihttp://hdl.handle.net/10919/75279en
dc.identifier.volume278en
dc.language.isoenen
dc.publisherAcademic Press – Elsevieren
dc.relation.urihttp://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000342749300002&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=930d57c9ac61a043676db62af60056c1en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectTechnologyen
dc.subjectComputer Science, Interdisciplinary Applicationsen
dc.subjectPhysics, Mathematicalen
dc.subjectComputer Scienceen
dc.subjectPhysicsen
dc.subjectTime integratoren
dc.subjectExponential integratoren
dc.subjectKryloven
dc.subjectB-seriesen
dc.subjectButcher treesen
dc.subjectPROPAGATION ITERATIVE METHODSen
dc.subjectROSENBROCK W-METHODSen
dc.subjectB-SERIESen
dc.subjectINTEGRATORSen
dc.subjectSYSTEMSen
dc.subjectODESen
dc.subjectORDERen
dc.titleExponential-Krylov methods for ordinary differential equationsen
dc.title.serialJournal of Computational Physicsen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten
pubs.organisational-group/Virginia Techen
pubs.organisational-group/Virginia Tech/All T&R Facultyen
pubs.organisational-group/Virginia Tech/Engineeringen
pubs.organisational-group/Virginia Tech/Engineering/COE T&R Facultyen
pubs.organisational-group/Virginia Tech/Engineering/Computer Scienceen

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