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On the Spectral Problem of Modeling Neutron Distribution in Weakly Coupled Systems

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Abstract

The paper considers the spectral problem associated with the 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. With its help, distributions are found that reflect multiplicating properties of local areas in the system.

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Funding

The work was carried out within the framework of state assignments of Sobolev Institute of Mathematics of the Siberian Branch of the Russian Academy of Sciences, project no. FWNF-2022-0008, and Nuclear Safety Institute of the Russian Academy of Sciences, project no. FFGZ-2019-0005. No additional grants to carry out or direct this particular research were obtained.

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Correspondence to E. A. Biberdorf, E. F. Mitenkova or T. V. Semenova.

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Translated by V. Potapchouck

CONFLICT OF INTEREST. The authors of this work declare that they have no conflicts of interest.

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Biberdorf, E.A., Mitenkova, E.F. & Semenova, T.V. On the Spectral Problem of Modeling Neutron Distribution in Weakly Coupled Systems. J. Appl. Ind. Math. 18, 10–17 (2024). https://doi.org/10.1134/S1990478924010022

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  • DOI: https://doi.org/10.1134/S1990478924010022

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