DC FieldValueLanguage
dc.contributor.authorBünger, Florian-
dc.date.accessioned2019-07-02T15:26:51Z-
dc.date.available2019-07-02T15:26:51Z-
dc.date.issued2018-08-01-
dc.identifier.citationNumerical Algorithms 4 (78): 1001-1017 (2018-08-01)de_DE
dc.identifier.issn10171398de_DE
dc.identifier.urihttp://hdl.handle.net/11420/2878-
dc.description.abstractTaylor models have been used successfully to calculate verified inclusions of the solutions of initial value problems for ordinary differential equations. In this context, Makino and Berz introduced an accompanying method called shrink wrapping. This method aims to reduce the wrapping effect which occurs during repeated forward integration of Taylor models. We review shrink wrapping as proposed by Makino and Berz, state examples that point to a flaw in their theorem and concept of proof, and present a new, corrected version of shrink wrapping.en
dc.language.isoende_DE
dc.relation.ispartofNumerical Algorithmsde_DE
dc.titleShrink wrapping for Taylor models revisitedde_DE
dc.typeArticlede_DE
dc.type.diniarticle-
dcterms.DCMITypeText-
tuhh.abstract.englishTaylor models have been used successfully to calculate verified inclusions of the solutions of initial value problems for ordinary differential equations. In this context, Makino and Berz introduced an accompanying method called shrink wrapping. This method aims to reduce the wrapping effect which occurs during repeated forward integration of Taylor models. We review shrink wrapping as proposed by Makino and Berz, state examples that point to a flaw in their theorem and concept of proof, and present a new, corrected version of shrink wrapping.de_DE
tuhh.publisher.doi10.1007/s11075-017-0410-1-
tuhh.publication.instituteZuverlässiges Rechnen E-19de_DE
tuhh.type.opus(wissenschaftlicher) Artikel-
tuhh.institute.germanZuverlässiges Rechnen E-19de
tuhh.institute.englishZuverlässiges Rechnen E-19de_DE
tuhh.gvk.hasppnfalse-
dc.type.driverarticle-
dc.type.casraiJournal Article-
tuhh.container.issue4de_DE
tuhh.container.volume78de_DE
tuhh.container.startpage1001de_DE
tuhh.container.endpage1017de_DE
item.languageiso639-1en-
item.grantfulltextnone-
item.openairetypeArticle-
item.cerifentitytypePublications-
item.creatorOrcidBünger, Florian-
item.fulltextNo Fulltext-
item.creatorGNDBünger, Florian-
item.openairecristypehttp://purl.org/coar/resource_type/c_6501-
crisitem.author.deptZuverlässiges Rechnen E-19-
crisitem.author.parentorgStudiendekanat Elektrotechnik, Informatik und Mathematik-
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