Publication:
Taylor Series Expansion with the Fluctuation Freely Approximated Remainder Over Highly Oscillatory Basis Functions

dc.contributor.authorsGurvit, Ercan; Baykara, N. A.; Demiralp, Metin
dc.contributor.editorSimos, TE
dc.contributor.editorPsihoyios, G
dc.contributor.editorTsitouras, C
dc.date.accessioned2022-03-12T16:00:54Z
dc.date.accessioned2026-01-11T13:19:13Z
dc.date.available2022-03-12T16:00:54Z
dc.date.issued2009
dc.description.abstractA new formulation is developed here to approximate highly oscillatory functions by applying the Fluctuationlessness Theorem to the remainder term of the Taylor polynomial. To this end a trigonometric basis set is utilized. Because of the limitation of space in this extended abstract the implementation of results are left to the presentation.
dc.identifier.doidoiWOS:000273023600105
dc.identifier.isbn978-0-7354-0709-1
dc.identifier.issn0094-243X
dc.identifier.urihttps://hdl.handle.net/11424/224775
dc.identifier.wosWOS:000273023600105
dc.language.isoeng
dc.publisherAMER INST PHYSICS
dc.relation.ispartofNUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS 1 AND 2
dc.relation.ispartofseriesAIP Conference Proceedings
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectApproximation Methods
dc.subjectTaylor Polynomials
dc.subjectFluctuation Expansion
dc.subjectOscillatory Functions
dc.subjectTrigonometric Basis Set
dc.titleTaylor Series Expansion with the Fluctuation Freely Approximated Remainder Over Highly Oscillatory Basis Functions
dc.typeconferenceObject
dspace.entity.typePublication
oaire.citation.endPage+
oaire.citation.startPage432
oaire.citation.titleNUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS 1 AND 2
oaire.citation.volume1168

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