Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2017, Volume 141, Pages 61–78 (Mi into243)  
This article is cited in 1 scientific paper (total in 1 paper)

Calculation of spectral characteristics of perturbed self-adjoint operators by methods of regularized traces

S. I. Kadchenkoab, S. N. Kakushkina

a Magnitogorsk State Technical University
b South Ural State University, Chelyabinsk
Full-text PDF (280 kB) Citations (1)
Abstract: We discuss basic theoretical principles underlying new numerical methods of calculation of eigenvalues and eigenfunctions of discrete, semi-bounded from below operators. We present algorithms of finding spectral characteristics by methods of regularized traces and examples related to certain spectral Sturm–Liouville problems.
Keywords: self-adjoint operator, method of regularized traces, numerical methods, spectrum.
English version:
Journal of Mathematical Sciences, 2019, Volume 241, Issue 5, Pages 570–588
DOI: https://doi.org/10.1007/s10958-019-04446-z
Bibliographic databases:
Document Type: Article
UDC: 517.984.22, 519.614
MSC: 34L05, 47J10, 65L15
Language: Russian
Citation: S. I. Kadchenko, S. N. Kakushkin, “Calculation of spectral characteristics of perturbed self-adjoint operators by methods of regularized traces”, Differential equations. Spectral theory, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 141, VINITI, M., 2017, 61–78; Journal of Mathematical Sciences, 241:5 (2019), 570–588
Citation in format AMSBIB
\Bibitem{KadKak17}
\by S.~I.~Kadchenko, S.~N.~Kakushkin
\paper Calculation of spectral characteristics of perturbed self-adjoint operators by methods of regularized traces
\inbook Differential equations. Spectral theory
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2017
\vol 141
\pages 61--78
\publ VINITI
\publaddr M.
\mathnet{http://mi.mathnet.ru/into243}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3801338}
\zmath{https://zbmath.org/?q=an:07123833}
\transl
\jour Journal of Mathematical Sciences
\yr 2019
\vol 241
\issue 5
\pages 570--588
\crossref{https://doi.org/10.1007/s10958-019-04446-z}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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