Chebyshevskii Sbornik
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Chebyshevskii Sb.:
Year:
Volume:
Issue:
Page:
Find






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


Chebyshevskii Sb., 2018, Volume 19, Issue 4, Pages 11–25 (Mi cheb702)  

Gravitation smoothing of time series (spectral properties)

S. M. Agayana, D. A. Kamaevab, Sh. R. Bogoutdinovca, A. S. Pavelevd

a Geophysical Center RAS
b NPO Taifun, Russian Federal Survey for Hydrometeorology and Environmental Monitoring
c Schmidt Institute of Physics of the Earth RAS
d SHTORM Technology Ltd

Abstract: This article continues the cycle of works by authors on the development of mathematical aspects methods of artificial intelligence for the processing of observations conducted under the guidance of academician A.D. Gvishiani, which was began in 2000. It is devoted to a new universal method of smoothing, originally intended for the analysis of geophysical time series. Gravitational smoothing formed the basis for studying the acceleration of the secular course of the Earth's main magnetic field with using of the observational data of the INTERMAGNET network. But the properties of the smoothing operator have not been studied so far. This aticle is first step to this goal.

Keywords: gravitation smoothing, discrepancy of gravitational smoothing, proximity measures, smoothing operator, eigenvalues, spectral properties.

Funding Agency Grant Number
Russian Science Foundation 16-17-00121
The study was funded by a grant from the Russian science Foundation (project 16-17-00121).


DOI: https://doi.org/10.22405/2226-8383-2018-19-4-11-25

Full text: PDF file (608 kB)
References: PDF file   HTML file

UDC: 517
Received: 27.07.2018
Accepted:22.10.2018

Citation: S. M. Agayan, D. A. Kamaev, Sh. R. Bogoutdinov, A. S. Pavelev, “Gravitation smoothing of time series (spectral properties)”, Chebyshevskii Sb., 19:4 (2018), 11–25

Citation in format AMSBIB
\Bibitem{AgaKamBog18}
\by S.~M.~Agayan, D.~A.~Kamaev, Sh.~R.~Bogoutdinov, A.~S.~Pavelev
\paper Gravitation smoothing of time series (spectral properties)
\jour Chebyshevskii Sb.
\yr 2018
\vol 19
\issue 4
\pages 11--25
\mathnet{http://mi.mathnet.ru/cheb702}
\crossref{https://doi.org/10.22405/2226-8383-2018-19-4-11-25}
\elib{https://elibrary.ru/item.asp?id=36921193}


Linking options:
  • http://mi.mathnet.ru/eng/cheb702
  • http://mi.mathnet.ru/eng/cheb/v19/i4/p11

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles
  • Number of views:
    This page:75
    Full text:13
    References:4

     
    Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2021