caa a22 4500 606151575 CHVBK 20210128100544.0 cr unu---uuuuu 210128e20150301xx s 000 0 eng 10.1007/s10512-015-9925-5 doi (NATIONALLICENCE)springer-10.1007/s10512-015-9925-5 Calculation of the Covariation Matrix of the Neutron Flux Density in the Multigroup Diffusion Model of a Subcritical Reactor [Elektronische Daten] [A. Cherezov, N. Shchukin, A. Semenov, A. Mekhryushev] The reconstruction of fields and adjustment of the parameters of reactor models are increasingly prioritized for reactor physics because the efficiency and safety of the control of a nuclear plant depend on solving them. The results of reconstruction and parameter adjustments are largely determined by the probability distributions of the computed and measured data. The probability distribution of the computed data in turn depends on the properties of the neutron-physical model and probabilistic characteristics of the parameters of this model. The present work is devoted to the search for and investigations of efficient algorithms for calculating the covariation functions of the neutron flux density. A model of a stationary subcritical reactor with an internal neutron source is studied. Linear perturbation theory, the theorem on the spectral decomposition of operators, and the theory of stochastic processes are the tools used for performing the analysis. Springer Science+Business Media New York, 2015 Cherezov A. National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), Moscow, Russia aut Shchukin N. National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), Moscow, Russia aut Semenov A. National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), Moscow, Russia aut Mekhryushev A. National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), Moscow, Russia aut Atomic Energy Springer US; http://www.springer-ny.com 117/5(2015-03-01), 299-306 1063-4258 117:5<299 2015 117 10512 https://doi.org/10.1007/s10512-015-9925-5 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10512-015-9925-5 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Cherezov A. National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), Moscow, Russia aut NATIONALLICENCE 700 1- Shchukin N. National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), Moscow, Russia aut NATIONALLICENCE 700 1- Semenov A. National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), Moscow, Russia aut NATIONALLICENCE 700 1- Mekhryushev A. National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), Moscow, Russia aut NATIONALLICENCE 773 0- Atomic Energy Springer US; http://www.springer-ny.com 117/5(2015-03-01), 299-306 1063-4258 117:5<299 2015 117 10512