Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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


Vestnik Moskov. Univ. Ser. 1. Mat. Mekh.:
Year:
Volume:
Issue:
Page:
Find




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

Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2018, Number 3, Pages 29–33 (Mi vmumm30)  
This article is cited in 2 scientific papers (total in 2 papers)

Mathematics

Justification of some approach to implementation of orthogonal expansions for approximate integration of canonical systems of second order ordinary differential equations

O. B. Arushanyan, S. F. Zaletkin

Lomonosov Moscow State University, Research Computing Center
Full-text PDF (309 kB) Citations (2)
References:
PDF
HTML
Abstract: A solvability theorem for a nonlinear system of equations with respect to approximate values of Fourier–Chebyshev coefficients is proved. This theorem is a theoretical substantiation for the numerical solution of second order ordinary differential equations using Chebyshev series and Markov quadrature formulas.
Key words: ordinary differential equations, approximate analytical methods, numerical methods, orthogonal expansions, shifted Chebyshev series, Markov quadrature formulas.
Received: 19.12.2017
English version:
Moscow University Mathematics Bulletin, 2018, Volume 73, Issue 3, Pages 111–115
DOI: https://doi.org/10.3103/S0027132218030051
Bibliographic databases:
Document Type: Article
UDC: 519.622
Language: Russian
Citation: O. B. Arushanyan, S. F. Zaletkin, “Justification of some approach to implementation of orthogonal expansions for approximate integration of canonical systems of second order ordinary differential equations”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2018, no. 3, 29–33; Moscow University Mathematics Bulletin, 73:3 (2018), 111–115
Citation in format AMSBIB
\Bibitem{AruZal18}
\by O.~B.~Arushanyan, S.~F.~Zaletkin
\paper Justification of some approach to implementation of orthogonal expansions for approximate integration of canonical systems of second order
ordinary differential equations
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2018
\issue 3
\pages 29--33
\mathnet{http://mi.mathnet.ru/vmumm30}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3831454}
\zmath{https://zbmath.org/?q=an:1409.65041}
\transl
\jour Moscow University Mathematics Bulletin
\yr 2018
\vol 73
\issue 3
\pages 111--115
\crossref{https://doi.org/10.3103/S0027132218030051}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000437465600005}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85049603183}
Linking options:
  • https://www.mathnet.ru/eng/vmumm30
  • https://www.mathnet.ru/eng/vmumm/y2018/i3/p29
    • This publication is cited in the following 2 articles:
    1. O. B. Arushanyan, S. F. Zaletkin, “Approximate integration of the canonical systems of second order ordinary differential equations with the use of Chebyshev series with error estimation for solution and its derivative”, Moscow University Mathematics Bulletin, 77:4 (2022), 191–198  mathnet  crossref  mathscinet  zmath
    2. O. B. Arushanyan, S. F. Zaletkin, “On some analytic method for approximate solution of systems of second order ordinary differential equations”, Moscow University Mathematics Bulletin, 74:3 (2019), 127–130  mathnet  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Statistics & downloads:
    Abstract page:218
    Full-text PDF :26
    References:45
    First page:6
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025