Vestnik Yuzhno-Ural'skogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Vestnik YuUrGU. Ser. Mat. Model. Progr.:
Year:
Volume:
Issue:
Page:
Find






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


Vestnik Yuzhno-Ural'skogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie, 2012, Issue 13, Pages 45–57 (Mi vyuru67)  

This article is cited in 6 scientific papers (total in 6 papers)

Mathematical Modelling

The Numerical Methods of Eigenvalues and Eigenfunctions of Perturbed Self-Adjoin Operator Finding

S. I. Kadchenko, S. N. Kakushkin

Magnitogorsk State University (Magnitogorsk, Russian Federation)
Full-text PDF (237 kB) Citations (6)
References:
Abstract: In work are received simple formulas of the calculation eigenvalues and analytical formulas of finding «weighed» corrections of the perturbation theory of the discrete semi bounded from below operators. Estimations remainder of the sum of the Reley-Shredinger's functional series are received also. On the base of received formulas was created non-iteration numerical method, which allowed to find the eigenvalues and meanings of eigenfunctions perturbed spectral problem. The numerical experiment for finding of the eigenfeatures by the Laplas's operator, which was perturbed by operator of the multiplying on twice continuously differentiated function, was organized. From the experiment seen, that results numerical accounts of eigenvalues and meanings of eigenfunctions well-agree with result, which received by well-known methods: finding eigenvalues were compared with method Leverrie, and meanings of eigenfunctions — with methods by Danilevskiy A. M. and Krylov A. N.
Keywords: eigenvalues, eigenfunctions, «weighted» corrections of the perturbation theory, perturbed operators.
Received: 06.04.2012
Document Type: Article
UDC: 519.642.8
MSC: 47A75
Language: Russian
Citation: S. I. Kadchenko, S. N. Kakushkin, “The Numerical Methods of Eigenvalues and Eigenfunctions of Perturbed Self-Adjoin Operator Finding”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 2012, no. 13, 45–57
Citation in format AMSBIB
\Bibitem{KadKak12}
\by S.~I.~Kadchenko, S.~N.~Kakushkin
\paper The Numerical Methods of Eigenvalues and Eigenfunctions of Perturbed Self-Adjoin Operator Finding
\jour Vestnik YuUrGU. Ser. Mat. Model. Progr.
\yr 2012
\issue 13
\pages 45--57
\mathnet{http://mi.mathnet.ru/vyuru67}
Linking options:
  • https://www.mathnet.ru/eng/vyuru67
  • https://www.mathnet.ru/eng/vyuru/y2012/i13/p45
  • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Statistics & downloads:
    Abstract page:501
    Full-text PDF :262
    References:76
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024