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Rational approximations of the Arrhenius integral using Jacobi fractions and gaussian quadrature

dc.contributor.authorCapela, Jorge Manual Vieira [UNESP]
dc.contributor.authorCapela, Marisa Veiga [UNESP]
dc.contributor.authorRibeiro, Clovis Augusto [UNESP]
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-05-20T14:19:22Z
dc.date.available2014-05-20T14:19:22Z
dc.date.issued2009-03-01
dc.description.abstractThe aim of this work is to find approaches for the Arrhenius integral by using the n-th convergent of the Jacobi fractions. The n-th convergent is a rational function whose numerator and denominator are polynomials which can be easily computed from three-term recurrence relations. It is noticed that such approaches are equivalent to the one established by the Gauss quadrature formula and it can be seen that the coefficients in the quadrature formula can be given as a function of the coefficients in the recurrence relations. An analysis of the relative error percentages in the approximations is also presented.en
dc.description.affiliationUniv Estadual Paulista, Inst Quim, BR-14801970 Araraquara, SP, Brazil
dc.description.affiliationUnespUniv Estadual Paulista, Inst Quim, BR-14801970 Araraquara, SP, Brazil
dc.description.sponsorshipFundação para o Desenvolvimento da UNESP (FUNDUNESP)
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.format.extent769-775
dc.identifierhttp://dx.doi.org/10.1007/s10910-008-9381-8
dc.identifier.citationJournal of Mathematical Chemistry. New York: Springer, v. 45, n. 3, p. 769-775, 2009.
dc.identifier.doi10.1007/s10910-008-9381-8
dc.identifier.issn0259-9791
dc.identifier.lattes2105396012022450
dc.identifier.lattes8498310891810082
dc.identifier.orcid0000-0002-7984-5908
dc.identifier.urihttp://hdl.handle.net/11449/25843
dc.identifier.wosWOS:000264485200009
dc.language.isoeng
dc.publisherSpringer
dc.relation.ispartofJournal of Mathematical Chemistry
dc.relation.ispartofjcr1.882
dc.relation.ispartofsjr0,332
dc.rights.accessRightsAcesso restritopt
dc.sourceWeb of Science
dc.subjectNonisothermal kineticen
dc.subjectArrhenius integralen
dc.subjectJacobi fractionsen
dc.subjectThree-term recurrence relationsen
dc.subjectQuadrature formulaen
dc.titleRational approximations of the Arrhenius integral using Jacobi fractions and gaussian quadratureen
dc.typeArtigopt
dcterms.licensehttp://www.springer.com/open+access/authors+rights?SGWID=0-176704-12-683201-0
dcterms.rightsHolderSpringer
dspace.entity.typePublication
relation.isOrgUnitOfPublicationbc74a1ce-4c4c-4dad-8378-83962d76c4fd
relation.isOrgUnitOfPublication.latestForDiscoverybc74a1ce-4c4c-4dad-8378-83962d76c4fd
unesp.author.lattes2105396012022450
unesp.author.lattes8498310891810082[3]
unesp.author.orcid0000-0002-7984-5908[3]
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Química, Araraquarapt
unesp.departmentQuímica Analítica - IQARpt

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