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Chebyshevskii Sbornik, 2019, Volume 20, Issue 1, Pages 307–312
DOI: https://doi.org/10.22405/2226-8383-2018-20-1-307-312 (Mi cheb736) 		 
This article is cited in 8 scientific papers (total in 8 papers)

BRIEF MESSAGE

Quality function for the approximation of quadratic algebraic nets

A. V. Mikhlyaeva

Orenburg State University, Orenburg
Full-text PDF (623 kB) Citations (8)
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DOI: https://doi.org/10.22405/2226-8383-2018-20-1-307-312
Abstract: This work is devoted to the construction of fast algorithms for calculating the quality function of rational grids approximating quadratic algebraic nets.
It is shown that the generalized parallelepipedal net approximating the quadratic algebraic net is parallelepiped.As a consequence, an algorithm for calculating the quality function for $O\left(\ln{N}\right)$ arithmetic operations is constructed.
Keywords: quadratic fields, approximation of algebraic grids, quality function, generalized parallelepipedal grid.
Funding agency Grant number
Russian Foundation for Basic Research 19-41-710004_р_а
The reported study was funded by RFBR, project number 19-41-710004_r_a.
Received: 15.11.2018
Accepted: 10.04.2019
Document Type: Article
UDC: 511.9
Language: Russian
Citation: A. V. Mikhlyaeva, “Quality function for the approximation of quadratic algebraic nets”, Chebyshevskii Sb., 20:1 (2019), 307–312
Citation in format AMSBIB
\Bibitem{Mik19}
\by A.~V.~Mikhlyaeva
\paper Quality function for the approximation of quadratic algebraic nets
\jour Chebyshevskii Sb.
\yr 2019
\vol 20
\issue 1
\pages 307--312
\mathnet{http://mi.mathnet.ru/cheb736}
\crossref{https://doi.org/10.22405/2226-8383-2018-20-1-307-312}
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    Cycle of papers
    This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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