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Vestnik SamGU. Estestvenno-Nauchnaya Ser., 2013, Issue 6(107), Pages 23–30 (Mi vsgu373)  
This article is cited in 6 scientific papers (total in 7 papers)

Mathematics

Numerical method for the solution of inverse problems generated by perturbations of self-adjoint operators by method of regularized traces

S. I. Kadchenko

Magnitogorsk State University, Magnitogorsk, 455000, Russian Federation
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(published under the terms of the Creative Commons Attribution 4.0 International License)
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Abstract: In the article a new method for the solution of inverse problems generated by perturbations of self-adjoint operators on their spectral characteristics is developed. The method was tested on inverse problems for Sturm–Liouville problems. The results of numerous calculations showed the computational efficiency of the method.
Keywords: inverse spectral problem, perturbation theory, self-adjoint operators, eigen values, eigen functions, incorrectly formulated problems.
Received: 03.06.2013
Revised: 03.06.2013
Document Type: Article
UDC: 519.642.8
Language: Russian
Citation: S. I. Kadchenko, “Numerical method for the solution of inverse problems generated by perturbations of self-adjoint operators by method of regularized traces”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2013, no. 6(107), 23–30
Citation in format AMSBIB
\Bibitem{Kad13}
\by S.~I.~Kadchenko
\paper Numerical method for the solution of inverse problems generated by perturbations of self-adjoint operators by method of regularized traces
\jour Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya
\yr 2013
\issue 6(107)
\pages 23--30
\mathnet{http://mi.mathnet.ru/vsgu373}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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