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Sibirskii Zhurnal Industrial'noi Matematiki, 2024, Volume 27, Number 1, Pages 5–15
DOI: https://doi.org/10.33048/SIBJIM.2024.27.101 (Mi sjim1269) 		 
On the spectral problem of modeling neutron distribution in weakly coupled systems

E. A. Biberdorfa, E. F. Mitenkovab, T. V. Semenovac

a Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090 Russia $^2$Nuclear Safety Institute, Russian Academy of Sciences, Moscow, 115191 Russia $^3$Russian Federal Nuclear Center --- All-Russian Research Institute of Experimental Physics, Sarov, Nizhny Novgorod oblast, 607188 Russia
b Nuclear Safety Institute, Russian Academy of Sciences, Moscow
c Federal State Unitary Enterprise "Russian Federal Nuclear Center — All-Russian Research Institute of Experimental Physics", Sarov, Nizhny Novgorod region
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DOI: https://doi.org/10.33048/SIBJIM.2024.27.101
Abstract: The paper considers the spectral problem to study of local characteristics of weakly coupled systems in reactor physics. The method of associated invariant subspaces based on the matrix spectrum dichotomy method is described. When using this method, the neutron distributions are found that reflect the multiplicating properties of system local areas.
Keywords: spectrum, invariant subspace, weakly coupled system, fission matrix.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FFGZ-2019-0005
FWNF-2022-0008
Received: 25.08.2023
Revised: 25.08.2023
Accepted: 20.02.2024
English version:
Journal of Applied and Industrial Mathematics, 2024, Volume 18, Issue 1, Pages 10–17
DOI: https://doi.org/10.1134/S1990478924010022
Document Type: Article
UDC: 519.677
Language: Russian
Citation: E. A. Biberdorf, E. F. Mitenkova, T. V. Semenova, “On the spectral problem of modeling neutron distribution in weakly coupled systems”, Sib. Zh. Ind. Mat., 27:1 (2024), 5–15; J. Appl. Industr. Math., 18:1 (2024), 10–17
Citation in format AMSBIB
\Bibitem{BibMitSem24}
\by E.~A.~Biberdorf, E.~F.~Mitenkova, T.~V.~Semenova
\paper On the spectral problem of modeling neutron distribution in weakly coupled systems
\jour Sib. Zh. Ind. Mat.
\yr 2024
\vol 27
\issue 1
\pages 5--15
\mathnet{http://mi.mathnet.ru/sjim1269}
\crossref{https://doi.org/10.33048/SIBJIM.2024.27.101}
\transl
\jour J. Appl. Industr. Math.
\yr 2024
\vol 18
\issue 1
\pages 10--17
\crossref{https://doi.org/10.1134/S1990478924010022}
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