APPROXIMATED METHOD OF GLOBAL FOURIER SPHERICAL ANALYSIS OF POTENTIAL FIELDS

Boykov Ilya Vladimirovich, Doctor of physico-mathematical sciences, professor, head of sub-department of higher and applied mathematics, Penza State University, math@pnzgu.ru
Kravchenko Marina Vitalyevna, Postgraduate student, Penza State University, almar@sura.ru

550.831

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.

Fourier coefficients, spherical functions, potential fields, Bernshtein polynomials, cubature formulas