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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2022, Volume 25, Number 1, Pages 33–51
DOI: https://doi.org/10.15372/SJNM20220103 (Mi sjvm795) 		 
This article is cited in 1 scientific paper (total in 1 paper)

A method of the magnetotelluric field numerical modelling in a horizontally homogeneous medium: difference schemes, estimates of convergence

O. B. Zabinyakovaa, S. N. Sklyarb

a Research Station of the Russian Academy of Sciences in Bishkek, Kyrgyzstan
b American University of Central Asia, Kyrgyzstan
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DOI: https://doi.org/10.15372/SJNM20220103
Abstract: This paper proposes a method for the numerical solution of the direct one-dimensional problem of magnetotelluric sounding. The construction of difference schemes is realized by the local integral equations method. A natural variant of the interpolation of an approximate solution is considered. The estimate of convergence of the approximate solution to the exact one and the estimate of the interpolation error are proved.
Key words: Tikhonov-Cagniard model, direct one-dimensional problem of magnetotelluric sounding, numerical solution, interpolation of an approximate solution, matrix exponent, local integral equation, convergence estimates.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation АААА-А19-119020190063-2
Received: 24.07.2019
Revised: 30.11.2020
Accepted: 05.10.2021
Bibliographic databases:
Document Type: Article
UDC: 519.62
Language: Russian
Citation: O. B. Zabinyakova, S. N. Sklyar, “A method of the magnetotelluric field numerical modelling in a horizontally homogeneous medium: difference schemes, estimates of convergence”, Sib. Zh. Vychisl. Mat., 25:1 (2022), 33–51
Citation in format AMSBIB
\Bibitem{ZabSkl22}
\by O.~B.~Zabinyakova, S.~N.~Sklyar
\paper A method of the magnetotelluric field numerical modelling in a horizontally homogeneous medium: difference schemes, estimates of convergence
\jour Sib. Zh. Vychisl. Mat.
\yr 2022
\vol 25
\issue 1
\pages 33--51
\mathnet{http://mi.mathnet.ru/sjvm795}
\crossref{https://doi.org/10.15372/SJNM20220103}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4461413}
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    • This publication is cited in the following 1 articles:
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