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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2007, Volume 47, Number 9, Pages 1494–1505 (Mi zvmmf244)  
This article is cited in 16 scientific papers (total in 17 papers)

Computing the sums of Rayleigh–Schrödinger series of perturbed self-adjoint operators

S. I. Kadchenko

Magnitogorsk State University, pr. Lenina 114, Magnitogorsk, Chelyabinsk oblast, 455043, Russia
Full-text PDF (1141 kB) Citations (17)
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Abstract: A new method is proposed and validated for computing the sums of number series of discrete operators in perturbation theory with the required accuracy. Its efficiency is demonstrated through numerical computations.
Key words: discrete operator, self-adjoint operator, eigenvalues and eigenfunctions of an operator, perturbative corrections.
Received: 02.11.2006
Revised: 26.03.2007
English version:
Computational Mathematics and Mathematical Physics, 2007, Volume 47, Issue 9, Pages 1435–1445
DOI: https://doi.org/10.1134/S0965542507090059
Bibliographic databases:
Document Type: Article
UDC: 519.642.8
Language: Russian
Citation: S. I. Kadchenko, “Computing the sums of Rayleigh–Schrödinger series of perturbed self-adjoint operators”, Zh. Vychisl. Mat. Mat. Fiz., 47:9 (2007), 1494–1505; Comput. Math. Math. Phys., 47:9 (2007), 1435–1445
Citation in format AMSBIB
\Bibitem{Kad07}
\by S.~I.~Kadchenko
\paper Computing the sums of Rayleigh--Schr\"odinger series of perturbed self-adjoint operators
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2007
\vol 47
\issue 9
\pages 1494--1505
\mathnet{http://mi.mathnet.ru/zvmmf244}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2387658}
\transl
\jour Comput. Math. Math. Phys.
\yr 2007
\vol 47
\issue 9
\pages 1435--1445
\crossref{https://doi.org/10.1134/S0965542507090059}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34848820274}
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    • This publication is cited in the following 17 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    References:71
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