A unified formulation of splitting-based implicit time integration schemes

Simple item page
dc.contributor.authorGonzalez-Pinto, Severianoen
dc.contributor.authorHernandez-Abreu, Domingoen
dc.contributor.authorPerez-Rodriguez, Maria S.en
dc.contributor.authorSarshar, Arashen
dc.contributor.authorRoberts, Stevenen
dc.contributor.authorSandu, Adrianen
dc.date.accessioned2022-02-27T04:00:05Zen
dc.date.available2022-02-27T04:00:05Zen
dc.date.issued2022-01-01en
dc.date.updated2022-02-27T04:00:02Zen
dc.description.abstractSplitting-based time integration approaches such as fractional step, alternating direction implicit, operator splitting, and locally one dimensional methods partition the system of interest into components, and solve individual components implicitly in a cost-effective way. This work proposes a unified formulation of splitting time integration schemes in the framework of general-structure additive Runge–Kutta (GARK) methods. Specifically, we develop implicit-implicit (IMIM) GARK schemes, provide the order conditions for this class, and explain their application to partitioned systems of ordinary differential equations. We show that classical splitting methods belong to the IMIM GARK family, and therefore can be studied in this unified framework. New IMIM-GARK splitting methods are developed and tested using parabolic systems.en
dc.description.versionPublished versionen
dc.format.extent22 page(s)en
dc.identifierARTN 110766 (Article number)en
dc.identifier.doihttps://doi.org/10.1016/j.jcp.2021.110766en
dc.identifier.eissn1090-2716en
dc.identifier.issn0021-9991en
dc.identifier.orcidSandu, Adrian [0000-0002-5380-0103]en
dc.identifier.urihttp://hdl.handle.net/10919/108888en
dc.identifier.volume448en
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:000725035600016&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=930d57c9ac61a043676db62af60056c1en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectScience & Technologyen
dc.subjectTechnologyen
dc.subjectPhysical Sciencesen
dc.subjectComputer Science, Interdisciplinary Applicationsen
dc.subjectPhysics, Mathematicalen
dc.subjectComputer Scienceen
dc.subjectPhysicsen
dc.subjectGeneral-structure additive Runge&ndashen
dc.subjectKutta&nbspen
dc.subjectmethodsen
dc.subjectAlternating direction impliciten
dc.subjectImplicit-expliciten
dc.subjectImplicit-implicit methodsen
dc.subjectRUNGE-KUTTA METHODSen
dc.subjectAPPROXIMATE MATRIX FACTORIZATIONen
dc.subjectFRACTIONAL STEP DISCRETIZATIONSen
dc.subjectGENERAL LINEAR METHODSen
dc.subjectW-METHODSen
dc.subjectPARABOLIC PROBLEMSen
dc.subjectORDER CONDITIONSen
dc.subjectPEER METHODSen
dc.subjectSTABILITYen
dc.subjectEQUATIONSen
dc.subject01 Mathematical Sciencesen
dc.subject02 Physical Sciencesen
dc.subject09 Engineeringen
dc.subjectApplied Mathematicsen
dc.titleA unified formulation of splitting-based implicit time integration schemesen
dc.title.serialJournal of Computational Physicsen
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

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
2011.03688.pdf
Size:
696.32 KB
Format:
Adobe Portable Document Format
Download

Collections

All Faculty Deposits
Scholarly Works, Computational Science Laboratory