{"title":"On the Spectral Problem of Modeling Neutron Distribution in\nWeakly Coupled Systems","authors":"E. A. Biberdorf, E. F. Mitenkova, T. V. Semenova","doi":"10.1134/S1990478924010022","DOIUrl":null,"url":null,"abstract":"<p> The paper considers the spectral problem associated with the study of local characteristics\nof weakly coupled systems in reactor physics. The method of associated invariant subspaces based\non the matrix spectrum dichotomy method is described. With its help, distributions are found\nthat reflect multiplicating properties of local areas in the system.\n</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"18 1","pages":"10 - 17"},"PeriodicalIF":0.5800,"publicationDate":"2024-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Applied and Industrial Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1134/S1990478924010022","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Engineering","Score":null,"Total":0}
引用次数: 0
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.
期刊介绍：
Journal of Applied and Industrial Mathematics is a journal that publishes original and review articles containing theoretical results and those of interest for applications in various branches of industry. The journal topics include the qualitative theory of differential equations in application to mechanics, physics, chemistry, biology, technical and natural processes; mathematical modeling in mechanics, physics, engineering, chemistry, biology, ecology, medicine, etc.; control theory; discrete optimization; discrete structures and extremum problems; combinatorics; control and reliability of discrete circuits; mathematical programming; mathematical models and methods for making optimal decisions; models of theory of scheduling, location and replacement of equipment; modeling the control processes; development and analysis of algorithms; synthesis and complexity of control systems; automata theory; graph theory; game theory and its applications; coding theory; scheduling theory; and theory of circuits.
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