Subspace adaptivity in Rosenbrock-Krylov methods for the time integration of initial value problems

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dc.contributor.authorTranquilli, Paulen
dc.contributor.authorGlandon, Rossen
dc.contributor.authorSandu, Adrianen
dc.date.accessioned2022-02-27T04:12:22Zen
dc.date.available2022-02-27T04:12:22Zen
dc.date.issued2021-03-15en
dc.date.updated2022-02-27T04:12:20Zen
dc.description.abstractThe Rosenbrock–Krylov family of time integration schemes is an extension of Rosenbrock-W methods that employs a specific Krylov based approximation of the linear system solutions arising within each stage of the integrator. This work proposes an extension of Rosenbrock–Krylov methods to address stability questions which arise for methods making use of inexact linear system solution strategies. Two approaches for improving the stability and efficiency of Rosenbrock–Krylov methods are proposed, one through direct control of linear system residuals and the second through a novel extension of the underlying Krylov space to include stage right hand side vectors. Rosenbrock–Krylov methods employing the new approaches show a substantial improvement in computational efficiency relative to prior implementations.en
dc.description.versionSubmitted versionen
dc.format.extent16 page(s)en
dc.format.mimetypeapplication/pdfen
dc.identifierARTN 113188 (Article number)en
dc.identifier.doihttps://doi.org/10.1016/j.cam.2020.113188en
dc.identifier.eissn1879-1778en
dc.identifier.issn0377-0427en
dc.identifier.orcidSandu, Adrian [0000-0002-5380-0103]en
dc.identifier.urihttp://hdl.handle.net/10919/108897en
dc.identifier.volume385en
dc.language.isoenen
dc.publisherElsevieren
dc.relation.urihttp://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000582802800003&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=930d57c9ac61a043676db62af60056c1en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectMathematics, Applieden
dc.subjectMathematicsen
dc.subjectODEsen
dc.subjectRosenbrocken
dc.subjectAdaptiveen
dc.subjectKryloven
dc.subjectTime integrationen
dc.subjectGROUND-STATEen
dc.subjectIMPLICITen
dc.subjectALLOYSen
dc.subjectNumerical & Computational Mathematicsen
dc.subject0102 Applied Mathematicsen
dc.subject0103 Numerical and Computational Mathematicsen
dc.subject0906 Electrical and Electronic Engineeringen
dc.titleSubspace adaptivity in Rosenbrock-Krylov methods for the time integration of initial value problemsen
dc.title.serialJournal of Computational and Applied Mathematicsen
dc.typeArticleen
dc.type.dcmitypeTexten
dc.type.otherArticleen
dc.type.otherJournalen
pubs.organisational-group/Virginia Techen
pubs.organisational-group/Virginia Tech/Engineeringen
pubs.organisational-group/Virginia Tech/Engineering/Computer Scienceen
pubs.organisational-group/Virginia Tech/All T&R Facultyen
pubs.organisational-group/Virginia Tech/Engineering/COE T&R Facultyen

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