Sibirskii Zhurnal Industrial'noi Matematiki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Sib. Zh. Ind. Mat.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Sibirskii Zhurnal Industrial'noi Matematiki, 2015, Volume 18, Number 3, Pages 63–75
DOI: https://doi.org/10.17377/sibjim.2015.18.307 (Mi sjim895) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Numerical solution of reconstruction problem of a potential vector field in a ball from its normal Radon transform

A. P. Polyakovaab, I. E. Svetovab

a Novosibirsk State University, 2 Pirogova st., 630090 Novosibirsk
b Sobolev Institute of Mathematics SB RAS, 4 Koptyug av., 630090 Novosibirsk
Full-text PDF (1053 kB) Citations (11)
References:
PDF
HTML
DOI: https://doi.org/10.17377/sibjim.2015.18.307
Abstract: We propose a numerical solution of reconstruction problem of a potential vector field in a ball from the known values of the normal Radon transform. The algorithm is based on the method of truncated singular value decomposition. Numerical simulations confirm that the proposed method yields good results of reconstruction of potential vector fields.
Keywords: vector tomography, potential vector field, approximation, normal Radon transform, truncated singular value decomposition, orthogonal polynomials.
Received: 11.03.2015
English version:
Journal of Applied and Industrial Mathematics, 2015, Volume 9, Issue 4, Pages 547–558
DOI: https://doi.org/10.1134/S1990478915040110
Bibliographic databases:
Document Type: Article
UDC: 514.8+517.983+519.6
Language: Russian
Citation: A. P. Polyakova, I. E. Svetov, “Numerical solution of reconstruction problem of a potential vector field in a ball from its normal Radon transform”, Sib. Zh. Ind. Mat., 18:3 (2015), 63–75; J. Appl. Industr. Math., 9:4 (2015), 547–558
Citation in format AMSBIB
\Bibitem{PolSve15}
\by A.~P.~Polyakova, I.~E.~Svetov
\paper Numerical solution of reconstruction problem of a~potential vector field in a~ball from its normal Radon transform
\jour Sib. Zh. Ind. Mat.
\yr 2015
\vol 18
\issue 3
\pages 63--75
\mathnet{http://mi.mathnet.ru/sjim895}
\crossref{https://doi.org/10.17377/sibjim.2015.18.307}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3549841}
\elib{https://elibrary.ru/item.asp?id=23877192}
\transl
\jour J. Appl. Industr. Math.
\yr 2015
\vol 9
\issue 4
\pages 547--558
\crossref{https://doi.org/10.1134/S1990478915040110}
Linking options:
  • https://www.mathnet.ru/eng/sjim895
  • https://www.mathnet.ru/eng/sjim/v18/i3/p63
    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский журнал индустриальной математики
    Statistics & downloads:
    Abstract page:233
    Full-text PDF :134
    References:49
    First page:11
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024