Analytic enclosure of the fundamental matrix solution

DC FieldValueLanguage
dc.contributor.authorCastelli, Roberto-
dc.contributor.authorLessard, Jean-Philippe-
dc.contributor.authorMireles James, Jason D.-
dc.date.accessioned2016-05-19T14:29:42Z-
dc.date.available2016-05-19T14:29:42Z-
dc.date.issued2015-12-22-
dc.identifier.issn0862-7940fr_CA
dc.identifier.urihttp://hdl.handle.net/20.500.11794/1488-
dc.description.abstractThis work describes a method to rigorously compute the real Floquet normal form decomposition of the fundamental matrix solution of a system of linear ODEs having periodic coefficients. The Floquet normal form is validated in the space of analytic functions. The technique combines analytical estimates and rigorous numerical computations and no rigorous integration is needed. An application to the theory of dynamical system is presented, together with a comparison with the results obtained by computing the enclosure in the C s category.fr_CA
dc.languageengfr_CA
dc.publisherSpringerfr_CA
dc.subjectRigorous numericsfr_CA
dc.subjectFundamental matrix solutionfr_CA
dc.subjectFloquet theoryfr_CA
dc.subjectAnalytical categoryfr_CA
dc.titleAnalytic enclosure of the fundamental matrix solutionfr_CA
dc.typeCOAR1_1::Texte::Périodique::Revue::Contribution à un journal::Article::Article de recherche-
dcterms.bibliographicCitationApplications of Mathematics, Vol. 60 (6), 617-636 (2015)fr_CA
dc.audienceProfesseurs (Enseignement supérieur)fr_CA
dc.audienceÉtudiantsfr_CA
dc.audienceDoctorantsfr_CA
dc.audienceMathématiciensfr_CA
dc.identifier.doi10.1007%2Fs10492-015-0114-6fr_CA
dc.subject.rvmAnalyse numériquefr_CA
dc.subject.rvmThéorie de Floquetfr_CA
dc.subject.rvmMatricesfr_CA
rioxxterms.versionVersion of Recordfr_CA
rioxxterms.version_of_recordhttps://doi.org/10.1007%2Fs10492-015-0114-6fr_CA
rioxxterms.project.funder_nameNatural Sciences and Engineering Research Council of Canadafr_CA
bul.rights.periodeEmbargo0 moisfr_CA
Collection:Articles publiés dans des revues avec comité de lecture

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