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Vestnik SamGU. Estestvenno-Nauchnaya Ser., 2012, Issue 6(97), Pages 13–21
(Mi vsgu25)
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This article is cited in 4 scientific papers (total in 4 papers)
Mathematics
The calculating of meanings of eigen functions of discrete semibounded from below operators via method of regularized traces
S. I. Kadchenko, S. N. Kakushkin The Dept. of Applied Mathematics and Calculating Technics,
Magnitogorsk State University, Magnitogorsk, 455000, Russian Federation
(published under the terms of the Creative Commons Attribution 4.0 International License)
Abstract:
The numerical method of finding of meanings of eigenfunctions of discrete semibounded from below operator is developed. Estimates of residuals of sums of series of Reley–Schrodinger of the “weighed” corrections of the perturbation theory are gained. Approbation of the method on the example of Laplace operator with perturbed function of complex variable is produced.
Keywords:
eigen values, eigen functions, “weighted”, corrections of perturbation theory, discrete operators.
Received: 19.01.2012 Accepted: 19.01.2012
Citation:
S. I. Kadchenko, S. N. Kakushkin, “The calculating of meanings of eigen functions of discrete semibounded from below operators via method of regularized traces”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2012, no. 6(97), 13–21
Linking options:
https://www.mathnet.ru/eng/vsgu25 https://www.mathnet.ru/eng/vsgu/y2012/i6/p13
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