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Separate Node Ascending Derivatives Expansion (SNADE) for Univariate Functions: Polynomial Recursions, Remainder Bounds and the Convergence

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dc.contributor.authorsBaykara, N. A.; Demiralp, Metin
dc.contributor.editorSimos, TE
dc.contributor.editorTsitouras, C
dc.date.accessioned2022-03-12T16:15:25Z
dc.date.accessioned2026-01-11T19:27:56Z
dc.date.available2022-03-12T16:15:25Z
dc.date.issued2015
dc.description.abstractA novel method which has been developed in Demiralp's group and has been named Separate Node Ascending Derivatives Expansion (SNADE) for Univariate Functions is the content of the first one of four companion papers to appear in this proceedings. This work focuses on the construction of basic recursions amongst the SNADE polynomials and also construction of a bound to SNADE remainder term. These goals are achieved. The convergence of SNADE could have also been proven by using the derived remainder bound. The recursions are constructed in both implicit and explicit form.
dc.identifier.doi10.1063/1.4912455
dc.identifier.isbn978-0-7354-1287-3
dc.identifier.issn0094-243X
dc.identifier.urihttps://hdl.handle.net/11424/225595
dc.identifier.wosWOS:000355339701022
dc.language.isoeng
dc.publisherAMER INST PHYSICS
dc.relation.ispartofPROCEEDINGS OF THE INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014)
dc.relation.ispartofseriesAIP Conference Proceedings
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectSNADE
dc.subjectUnivariate functions
dc.subjectpolynomial recursions
dc.subjectRemainder bounds
dc.subjectConvergence
dc.subjectExpansion
dc.titleSeparate Node Ascending Derivatives Expansion (SNADE) for Univariate Functions: Polynomial Recursions, Remainder Bounds and the Convergence
dc.typeconferenceObject
dspace.entity.typePublication
oaire.citation.titlePROCEEDINGS OF THE INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014)
oaire.citation.volume1648

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