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Sibirskii Zhurnal Vychislitel'noi Matematiki
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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2015, Volume 18, Number 3, Pages 237–253
DOI: https://doi.org/10.15372/SJNM20150301 (Mi sjvm579) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Tomography of force-free fields

A. L. Balandin

Institute of Systems Dynamics and Control Theory, 134 Lermontov str., Irkutsk, 664033, Russia
Full-text PDF (3585 kB) Citations (1)
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DOI: https://doi.org/10.15372/SJNM20150301
Abstract: In order to investigate the force-free fields it is proposed to use the computerized tomography methods. For the inversion of the ray transformation, the method of multipole fields expansion has been developed. This method is based on the expansion of a vector field and the ray transformation over the special basis of vector-functions. Analytical expressions for the ray transform of the basis vector-functions and the results of computer simulation are given.
Key words: computerized tomography, spherical harmonics, inverse problems.
Received: 30.05.2014
Revised: 22.09.2014
English version:
Numerical Analysis and Applications, 2015, Volume 8, Issue 3, Pages 195–207
DOI: https://doi.org/10.1134/S1995423915030015
Bibliographic databases:
Document Type: Article
UDC: 514.7+517.98+519.61
Language: Russian
Citation: A. L. Balandin, “Tomography of force-free fields”, Sib. Zh. Vychisl. Mat., 18:3 (2015), 237–253; Num. Anal. Appl., 8:3 (2015), 195–207
Citation in format AMSBIB
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\paper Tomography of force-free fields
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\jour Num. Anal. Appl.
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  • https://www.mathnet.ru/eng/sjvm/v18/i3/p237
    • This publication is cited in the following 1 articles:
    1. A. Balandin, “The localized basis functions for scalar and vector 3D tomography and their ray transforms”, Inverse Probl. Imaging, 10:4 (2016), 899–914  crossref  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Sibirskii Zhurnal Vychislitel'noi Matematiki
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    References:64
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