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Matematicheskoe modelirovanie, 2010, Volume 22, Number 12, Pages 115–136 (Mi mm3056)  
This article is cited in 6 scientific papers (total in 6 papers)

The basic element method

N. D. Dikusar

Joint Institute for Nuclear Research, Laboratory of Information Technologies
Full-text PDF (532 kB) Citations (6)
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Abstract: The basic element method (BEM) for decomposition of the algebraic polynomial via one cubic and three quadratic parabolas (basic elements) is developed within the 4-point transformation technique. Representation of the polynomial via basic elements gives a lever at solving various tasks of applied mathematics. So, in the polynomial approximation and smoothing problems the BEM presentation allows one to reduce the computational complexity of algorithms and increase their stability for error by choosing the internal relationship structure between variable and control parameters.
Keywords: data smoothing, least squares method, approximation by polynomials, linear regression, 4-point transformation, efficiency of algorithms.
Received: 22.12.2009
English version:
Mathematical Models and Computer Simulations, 2011, Volume 3, Issue 4, Pages 492–507
DOI: https://doi.org/10.1134/S2070048211040053
Bibliographic databases:
Document Type: Article
UDC: 519.65+519.245
Language: Russian
Citation: N. D. Dikusar, “The basic element method”, Matem. Mod., 22:12 (2010), 115–136; Math. Models Comput. Simul., 3:4 (2011), 492–507
Citation in format AMSBIB
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\by N.~D.~Dikusar
\paper The basic element method
\jour Matem. Mod.
\yr 2010
\vol 22
\issue 12
\pages 115--136
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2810219}
\transl
\jour Math. Models Comput. Simul.
\yr 2011
\vol 3
\issue 4
\pages 492--507
\crossref{https://doi.org/10.1134/S2070048211040053}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84887250817}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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