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JOURNALS // University proceedings. Volga region. Physical and mathematical sciences // Archive

University proceedings. Volga region. Physical and mathematical sciences, 2010 Issue 4, Pages 101–110 (Mi ivpnz659)

This article is cited in 1 paper

Mathematics

Approximate methods of global harmonic spherical analysis of potential fields

I. V. Boykov, M. V. Kravchenko

Penza State University, Penza

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.

UDC: 550.831



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