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

Journal Article · Wed Sep 09 00:00:00 EDT 2009 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3241489· OSTI ID:21322913

Guervit, Ercan; Baykara, N A ^[1]; Demiralp, Metin ^[2]

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1. Marmara University, Department of Mathematics, Goeztepe, 34722, Istanbul (Turkey)
2. Istanbul Technical University, Informatics Institute, Maslak, 34469, Istanbul (Turkey)

A 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.

• OSTI ID: 21322913
• Journal Information: AIP Conference Proceedings, Vol. 1168, Issue 1; Conference: International conference on numerical analysis and applied mathematics 2009, Rethymno, Crete (Greece), 18-22 Sep 2009; Other Information: DOI: 10.1063/1.3241489; (c) 2009 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
APPROXIMATIONS
FLUCTUATIONS
OSCILLATORS
POLYNOMIALS
SERIES EXPANSION