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University proceedings. Volga region. Physical and mathematical sciences, 2010, Issue 4, Pages 101–110 (Mi ivpnz659)  
This article is cited in 1 scientific paper (total in 1 paper)

Mathematics

Approximate methods of global harmonic spherical analysis of potential fields

I. V. Boykov, M. V. Kravchenko

Penza State University, Penza
Full-text PDF (355 kB) Citations (1)
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Abstract: In the paper the algorithm of definition of Fourier coefficients in decomposition of potential fields on spherical functions. The potential fields are known by its values on a non-uniform grid of units, given in some part of the Earth surface. The method is based on the Bernshtein multinomials using for continuation of potential fields on all surface of the Earth and subsequent application of the cubature formulas.
Keywords: Fourier coefficients, spherical functions, potential fields, Bernshtein polynomials, cubature formulas.
Document Type: Article
UDC: 550.831
Language: Russian
Citation: I. V. Boykov, M. V. Kravchenko, “Approximate methods of global harmonic spherical analysis of potential fields”, University proceedings. Volga region. Physical and mathematical sciences, 2010, no. 4, 101–110
Citation in format AMSBIB
\Bibitem{BoyKra10}
\by I.~V.~Boykov, M.~V.~Kravchenko
\paper Approximate methods of global harmonic spherical analysis of potential fields
\jour University proceedings. Volga region. Physical and mathematical sciences
\yr 2010
\issue 4
\pages 101--110
\mathnet{http://mi.mathnet.ru/ivpnz659}
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