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dc.contributor.authorRivertz, Hans Jakob
dc.date.accessioned2019-10-25T11:42:16Z
dc.date.available2019-10-25T11:42:16Z
dc.date.created2013-06-03T13:22:09Z
dc.date.issued2013
dc.identifier.citationArchivum mathematicum. 2013, 49 (1), 29-34.nb_NO
dc.identifier.issn0044-8753
dc.identifier.urihttp://hdl.handle.net/11250/2624454
dc.description.abstractAs a numerical method for solving ordinary differential equations y'=f(x,y), the improved Euler method is not assumed to give exact solutions. In this paper we classify all cases where this method gives the exact solution for all initial conditions. We reduce an infinite system of partial differential equations for f(x,y) to a finite system that is sufficient and necessary for the improved Euler method to give the exact solution. The improved Euler method is the simplest explicit second order Runge-Kutta method.nb_NO
dc.language.isoengnb_NO
dc.publisherMasarykova Univerzitanb_NO
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internasjonal*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/deed.no*
dc.titleOn those ordinary differential equations that are solved exactly by the improved Euler methodnb_NO
dc.typeJournal articlenb_NO
dc.typePeer reviewednb_NO
dc.description.versionpublishedVersionnb_NO
dc.source.pagenumber29-34nb_NO
dc.source.volume49nb_NO
dc.source.journalArchivum mathematicumnb_NO
dc.source.issue1nb_NO
dc.identifier.cristin1032157
dc.description.localcodeUnder a CC BY-NC-ND licence .nb_NO
cristin.unitcode194,63,10,0
cristin.unitnameInstitutt for datateknologi og informatikk
cristin.ispublishedtrue
cristin.fulltextoriginal
cristin.qualitycode1


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Attribution-NonCommercial-NoDerivatives 4.0 Internasjonal
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