Bulletin of the South Ural State University Series-Mathematical Modelling Programming & Computer Software最新文献

{"title":"Construction of Schedules for the Performance of Task Packages in Multi-Stage Systems when Forming Sets of Results and Limitations","authors":"K. Krotov, A. Skatkov","doi":"10.14529/mmp220206","DOIUrl":"https://doi.org/10.14529/mmp220206","url":null,"abstract":"","PeriodicalId":44106,"journal":{"name":"Bulletin of the South Ural State University Series-Mathematical Modelling Programming & Computer Software","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80073516","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":"On One Routing Problem Oriented on the Problem of Dismantling Radiation-Hazardous Objects","authors":"A. Chentsov, A. Chentsov","doi":"10.14529/mmp220306","DOIUrl":"https://doi.org/10.14529/mmp220306","url":null,"abstract":"","PeriodicalId":44106,"journal":{"name":"Bulletin of the South Ural State University Series-Mathematical Modelling Programming & Computer Software","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77454859","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":"Simulation of the Vibrations of a Piezoelectric Transducer with a Wrapped Electrode Using the Spectral Element Method","authors":"A. Shpak, S. A. Siuhina, M. Golub","doi":"10.14529/mmp220307","DOIUrl":"https://doi.org/10.14529/mmp220307","url":null,"abstract":"The paper presents an approach to the modelling of the dynamic behavior of a piezoelectric transducer of a complex shape in a three-dimensional case based on the spectral element method. The proposed mathematical model will be a part of the hybrid approach to the modelling of the guided waves excitation and sensing in an elongated structure in a three-dimensional case. Different types of electrodes of piezoelectric transducers as well as various boundary value conditions for the modelling of the actuation and sensing operations are considered. Unknown displacements are approximated with Lagrange polynomials at the Gauss-Legendre-Lobatto nodal points and the system of linear algebraic equations is obtained in terms of the displacement vector and electric potential at the nodal points. The results are compared with the standard finite element calculations provided with the finite-element COMSOL Multiphysics software. The electro-mechanical characteristics of the dynamic behaviour of piezoelectric transducers are analysed depending on the operational conditions and the kind of electrodes. The eigenfrequencies of the piezoelectric transducers are calculated and the corresponding eigenforms are constructed and analysed.","PeriodicalId":44106,"journal":{"name":"Bulletin of the South Ural State University Series-Mathematical Modelling Programming & Computer Software","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73872232","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":"Mathematical Modelling and Analysis of Activities of PJSC \"Fortum\"","authors":"V. Mokhov, G. Chebotareva","doi":"10.14529/mmp220209","DOIUrl":"https://doi.org/10.14529/mmp220209","url":null,"abstract":"The article discusses a mathematical model of the production activity of PJSC “Fortum”, which is the main supplier of electrical and thermal energy in the Southern Urals. The model is constructed on the basis of the modified production function of Cobb Douglas for 2010-2020. The author’s algorithm for constructing the model is given, according to which a computer program for modelling the operating activities of an enterprise was written and registered in the State Register of computer programs in the Java language. The adequacy of the constructed model was checked by the coefficient of determination, the value of which showed its high reliability. The analysis of the constructed mathematical model made it possible to draw the following conclusions: the strategic goal of reducing tariffs declared in the course of the restructuring of OJSC “RAO UES of Russia” was not fulfilled, on the contrary, their steady growth is observed; the efficiency of operating activities does not meet modern requirements – during the entire analyzed period, there is a diminishing economies of scale; the sustainable development strategy implemented by PJSC “Fortum” does not have a proper economic power supply unit due to a decrease in the return on resources involved in production; relatively high financial results of PJSC “Fortum” are associated with an unreasonable increase in tariffs; consumers of electric and thermal energy of the Urals and Western Siberia, in the conditions of the monopoly on the energy market, finance the richest country in the world – the Netherlands – through payments from Fortum Holding B.V., which directly and indirectly owns 98% of the shares of PJSC “Fortum”; with the existing management mechanism and state control by the antimonopoly service, PJSC “Fortum” has no incentives to replace the outdated cogeneration option based on hydrocarbon fuels with modern, progressive green technologies. The results of the study are recommended to the Federal Antimonopoly Service to strengthen control over the activities of PJSC “Fortum”, reduce tariff pressure on consumers of electric and thermal energy and unjustified enrichment of foreign subjects of the electric power industry at the expense of Russian consumers.","PeriodicalId":44106,"journal":{"name":"Bulletin of the South Ural State University Series-Mathematical Modelling Programming & Computer Software","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90450855","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":"Invariant Manifolds of Semilinear Sobolev Type Equations","authors":"O. G. Kitaeva","doi":"10.14529/mmp220106","DOIUrl":"https://doi.org/10.14529/mmp220106","url":null,"abstract":"","PeriodicalId":44106,"journal":{"name":"Bulletin of the South Ural State University Series-Mathematical Modelling Programming & Computer Software","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80526153","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":"Calculation of the Three-Dimensional Magnetic Field of a System of Permanent Magnets and Ferromagnets Based on the Integral Magnetization Equation and the Jills-Atterton Model","authors":"R.V. Harutyunyann","doi":"10.14529/mmp220204","DOIUrl":"https://doi.org/10.14529/mmp220204","url":null,"abstract":"","PeriodicalId":44106,"journal":{"name":"Bulletin of the South Ural State University Series-Mathematical Modelling Programming & Computer Software","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78701382","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":"Application of an Implicit Scheme of the Discontinuous Galerkin Method to Solving Gas Dynamics Problems on NVIDIA Graphic Accelerators","authors":"V. F. Masyagin, R. V. Zhalnin, V. Tishkin","doi":"10.14529/mmp220207","DOIUrl":"https://doi.org/10.14529/mmp220207","url":null,"abstract":"","PeriodicalId":44106,"journal":{"name":"Bulletin of the South Ural State University Series-Mathematical Modelling Programming & Computer Software","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76978136","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":"Semilinear Sobolev Type Mathematical Models","authors":"A. Zamyshlyaeva, E. Bychkov","doi":"10.14529/mmp220103","DOIUrl":"https://doi.org/10.14529/mmp220103","url":null,"abstract":"","PeriodicalId":44106,"journal":{"name":"Bulletin of the South Ural State University Series-Mathematical Modelling Programming & Computer Software","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77248459","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":"Exact Solutions of the (2+1)-Dimensional Kundu-Mukherjee-Naskar Model via IBSEFM","authors":"K. Mamedov, U. Demirbilek, V. Ala","doi":"10.14529/mmp220202","DOIUrl":"https://doi.org/10.14529/mmp220202","url":null,"abstract":"The aim of this study is to construct the exact solutions of the (2+1)-dimensional Kundu–Mukherjee–Naskar (KMN) equation via Improved Bernoulli Sub-Equation Function Method (IBSEFM). The physics of this model describes optical dromions in (2+1)-dimensional case. It is also studied in fluid dynamics. Applying the proposed method, we obtain new exact solutions of (2+1)-dimensional KMN equation. Moreover, we plot the 2D-3D figures and contour surfaces according to the suitable parameters by the aid of computer software. The results confirm that IBSEFM is powerful, effective and straightforward for solving nonlinear partial differential equations arising in mathematical physics.","PeriodicalId":44106,"journal":{"name":"Bulletin of the South Ural State University Series-Mathematical Modelling Programming & Computer Software","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91213046","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":"Sobolev Type Equations in Spaces of Differential Forms on Riemannian Manifolds Without Boundary","authors":"D. E. Shafranov","doi":"10.14529/mmp220107","DOIUrl":"https://doi.org/10.14529/mmp220107","url":null,"abstract":"","PeriodicalId":44106,"journal":{"name":"Bulletin of the South Ural State University Series-Mathematical Modelling Programming & Computer Software","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85704347","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}