Linearly implicit methods for nonlinear parabolic equations

dc.contributor.authorAkrivis, G.en
dc.contributor.authorCrouzeix, M.en
dc.date.accessioned2015-11-24T16:41:03Z
dc.date.available2015-11-24T16:41:03Z
dc.identifier.issn0025-5718-
dc.identifier.urihttps://olympias.lib.uoi.gr/jspui/handle/123456789/8358
dc.rightsDefault Licence-
dc.subjectnonlinear parabolic equationsen
dc.subjectlinearly implicit methodsen
dc.subjectstrong a(0)stabilityen
dc.subjectimplicit-explicit multistep schemesen
dc.subjectpolynomial orderen
dc.subjectstiff differential-equationsen
dc.subjectmultistep methodsen
dc.titleLinearly implicit methods for nonlinear parabolic equationsen
heal.abstractWe construct and analyze combinations of rational implicit and explicit multistep methods for nonlinear parabolic equations. The resulting schemes are linearly implicit and include as particular cases implicit-explicit multistep schemes as well as the combination of implicit Runge-Kutta schemes and extrapolation. An optimal condition for the stability constant is derived under which the schemes are locally stable. We establish optimal order error estimates.en
heal.accesscampus-
heal.fullTextAvailabilityTRUE-
heal.identifier.secondary<Go to ISI>://000189362000006-
heal.journalNameMathematics of Computationen
heal.journalTypepeer reviewed-
heal.languageen-
heal.publicationDate2004-
heal.recordProviderΠανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Χημείαςel
heal.typejournalArticle-
heal.type.elΆρθρο Περιοδικούel
heal.type.enJournal articleen

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