Quasi-analytical root-finding for non-polynomial functions

Registro completo de metadados
Autor(es): dc.contributorUniversidade Estadual Paulista (UNESP)-
Autor(es): dc.creatorBracciali, Cleonice F.-
Autor(es): dc.creatorCarley, Michael-
Data de aceite: dc.date.accessioned2021-03-11T00:31:59Z-
Data de disponibilização: dc.date.available2021-03-11T00:31:59Z-
Data de envio: dc.date.issued2018-12-11-
Data de envio: dc.date.issued2018-12-11-
Data de envio: dc.date.issued2017-11-01-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.1007/s11075-017-0274-4-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/11449/169469-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/169469-
Descrição: dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)-
Descrição: dc.descriptionProcesso FAPESP: 2014/17357-1-
Descrição: dc.descriptionProcesso FAPESP: 2014/22571-2-
Descrição: dc.descriptionA method is presented for the calculation of roots of non-polynomial functions, motivated by the requirement to generate quadrature rules based on non-polynomial orthogonal functions. The approach uses a combination of local Taylor expansions and Sturm’s theorem for roots of a polynomial which together give a means of efficiently generating estimates of zeros which can be polished using Newton’s method. The technique is tested on a number of realistic problems including some chosen to be highly oscillatory and to have large variations in amplitude, both of which features pose particular challenges to root–finding methods.-
Formato: dc.format639-653-
Idioma: dc.languageen-
Relação: dc.relationNumerical Algorithms-
Relação: dc.relation0,981-
Direitos: dc.rightsopenAccess-
Palavras-chave: dc.subjectOrthogonal functions-
Palavras-chave: dc.subjectQuadrature rules-
Palavras-chave: dc.subjectRoot-finding-
Título: dc.titleQuasi-analytical root-finding for non-polynomial functions-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional - Unesp

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