{"title":"Oskolkov Models and Sobolev-Type Equations","authors":"T. G. Sukacheva","doi":"10.14529/mmp220101","DOIUrl":"https://doi.org/10.14529/mmp220101","url":null,"abstract":"This article is a review of the works carried out by the author together with her students and devoted to the study of various Oskolkov models. Their distinctive feature is the use of the semigroup approach, which is the basis of the phase space method used widely in the theory of Sobolev-type equations. Various models of an incompressible viscoelastic fluid described by the Oskolkov equations are presented. The degenerate problem of magnetohydrodynamics, the problem of thermal convection, and the Taylor problem are considered as examples. The solvability of the corresponding initial-boundary value problems is investigated within the framework of the theory of Sobolev-type equations based on the theory for p -sectorial operators and degenerate semigroups of operators. An existence theorem is proved for a unique solution, which is a quasi-stationary semitrajectory, and a description of the extended phase space is obtained. The foundations of the theory of solvability of Sobolev-type equations were laid by Professor G.A. Sviridyuk. Then this theory, together with various applications, was successfully developed by his followers.","PeriodicalId":44106,"journal":{"name":"Bulletin of the South Ural State University Series-Mathematical Modelling Programming & Computer Software","volume":"18 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75025467","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Analysis of the Influence of the Lagrange Multiplier on the Operation of the Algorithm for Estimating the Signal Parameters under a Priori Uncertainty","authors":"N. E. Poborchaya, E. M. Lobov","doi":"10.14529/mmp220210","DOIUrl":"https://doi.org/10.14529/mmp220210","url":null,"abstract":"","PeriodicalId":44106,"journal":{"name":"Bulletin of the South Ural State University Series-Mathematical Modelling Programming & Computer Software","volume":"54 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89131752","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Algorithm for Verifying the Measurements","authors":"A. Shestakov, D. Klygach, M. Vakhitov","doi":"10.14529/mmp220310","DOIUrl":"https://doi.org/10.14529/mmp220310","url":null,"abstract":"","PeriodicalId":44106,"journal":{"name":"Bulletin of the South Ural State University Series-Mathematical Modelling Programming & Computer Software","volume":"1 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87987115","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A Method for Machine-Readable Zones Location Based on a Combination of the Hough Transform and the Search for Feature Points","authors":"B. Savelyev, N. Skoryukina, V. Arlazarov","doi":"10.14529/mmp220208","DOIUrl":"https://doi.org/10.14529/mmp220208","url":null,"abstract":"This article describes a method for machine-readable zones location in document images based on a combination of the Hough transform and the search for feature points. The search for feature points, filtering, and clustering using the Hough transform are described step-by-step. In addition to the machine-readable zone location, we develop a solution for determining the orientation of the zone. This method is designed to meet the requirements for real-time operation on mobile devices. The paper presents the results of measuring the quality of the method on an open synthetic dataset and the operating time on mobile devices. An experimental study on an artificial dataset show that the proposed algorithm allows to achieve a quality of 0,82 in terms of the mean value of the Jaccard indices. The operating time of the proposed algorithm for machine-readable zone location on a mobile device is 6 ms on the iPhone SE 2.","PeriodicalId":44106,"journal":{"name":"Bulletin of the South Ural State University Series-Mathematical Modelling Programming & Computer Software","volume":"214 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75713778","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Leontief-Type Systems and Applied Problems","authors":"Amber V Keller","doi":"10.14529/mmp220102","DOIUrl":"https://doi.org/10.14529/mmp220102","url":null,"abstract":"","PeriodicalId":44106,"journal":{"name":"Bulletin of the South Ural State University Series-Mathematical Modelling Programming & Computer Software","volume":"438 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77507144","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A Modification of Dai-Yuan's Conjugate Gradient Algorithm for Solving Unconstrained Optimization","authors":"Y. Najm Huda, I. Ahmed Huda","doi":"10.14529/mmp220309","DOIUrl":"https://doi.org/10.14529/mmp220309","url":null,"abstract":"","PeriodicalId":44106,"journal":{"name":"Bulletin of the South Ural State University Series-Mathematical Modelling Programming & Computer Software","volume":"5 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82671173","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Studying the Model of Air and Water Filtration in a Melting or Freezing Snowpack","authors":"S.V. Alekseeva, S. Sazhenkov","doi":"10.14529/mmp220201","DOIUrl":"https://doi.org/10.14529/mmp220201","url":null,"abstract":"","PeriodicalId":44106,"journal":{"name":"Bulletin of the South Ural State University Series-Mathematical Modelling Programming & Computer Software","volume":"67 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80640091","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The Non-Classical Models of Mathematical Physics the Multipoint Initial-Final Value Condition","authors":"S. Zagrebina, A. S. Konkina","doi":"10.14529/mmp220104","DOIUrl":"https://doi.org/10.14529/mmp220104","url":null,"abstract":"","PeriodicalId":44106,"journal":{"name":"Bulletin of the South Ural State University Series-Mathematical Modelling Programming & Computer Software","volume":"32 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73360695","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
E. Bychkov, S. Zagrebina, A. Zamyshlyaeva, N. Manakova, M. Sagadeeva, G. Sviridyuk, A. Keller
{"title":"Development of the Theory of Optimal Dynamic Measurements","authors":"E. Bychkov, S. Zagrebina, A. Zamyshlyaeva, N. Manakova, M. Sagadeeva, G. Sviridyuk, A. Keller","doi":"10.14529/mmp220302","DOIUrl":"https://doi.org/10.14529/mmp220302","url":null,"abstract":"","PeriodicalId":44106,"journal":{"name":"Bulletin of the South Ural State University Series-Mathematical Modelling Programming & Computer Software","volume":"75 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72679918","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Мельцайкин Евгений Андреевич, Meltsaykin Evgeniy, Andreevich, Ushakov Andrey, Leonidovich
{"title":"Analysis of Biharmonic and Harmonic Models by the Methods of Iterative Extensions","authors":"Мельцайкин Евгений Андреевич, Meltsaykin Evgeniy, Andreevich, Ushakov Andrey, Leonidovich","doi":"10.14529/mmp220304","DOIUrl":"https://doi.org/10.14529/mmp220304","url":null,"abstract":". The article describes the analysis of biharmonic models by iterative extension methods. Various stationary physical systems in mechanics are modeled using boundary value problems for inhomogeneous Sophie Germain. Using the biharmonic model, i.e. boundary value problem for the inhomogeneous Sophie Germain equation, describe the deflection of plates, flows during fluid flows. With the help of the developed methods of iterative extensions, efficient algorithms for solving the problems under consideration are obtained.","PeriodicalId":44106,"journal":{"name":"Bulletin of the South Ural State University Series-Mathematical Modelling Programming & Computer Software","volume":"93 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80468901","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}