{"title":"Modelling the Human Papilloma Virus Transmission in a Bisexually Active Host Community","authors":"O. Ogunmiloro","doi":"10.14529/mmp200207","DOIUrl":"https://doi.org/10.14529/mmp200207","url":null,"abstract":"","PeriodicalId":44106,"journal":{"name":"Bulletin of the South Ural State University Series-Mathematical Modelling Programming & Computer Software","volume":"123 1","pages":"80-92"},"PeriodicalIF":0.2,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77866988","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}
The article presents a review of the work of the Chelyabinsk mathematical school on Sobolev type equations in studying the optimal control problems for linear Sobolev type models with initial Cauchy (Showalter–Sidorov) conditions or initial-final conditions. To identify the nonemptiness of the set of feasible solutions to the control problem we use the phase space method, which has already proved itself in solving Sobolev type equations. The method reduces the singular equation to a regular one defined on some subspace of the original space and applies the theory of degenerate (semi)groups of operators to the case of relatively bounded, sectorial and radial operators. Here mathematical models are reduced to initial (initial-final) problems for an abstract Sobolev type equation. Abstract results are applied to the study of control problems for the Barenblatt–Zheltov–Kochina mathematical model, which describes fluid filtration in a fractured-porous medium, the Hoff model on a graph simulating the dynamics of I-beam bulging in a construction, and the Boussinesq– Löve model describing longitudinal vibrations in a thin elastic rod, taking into account inertia and under external load, or the propagation of waves in shallow water.
{"title":"Optimal Control in Linear Sobolev Type Mathematical Models","authors":"A. Zamyshlyaeva, N. Manakova, O. N. Tsyplenkova","doi":"10.14529/mmp200101","DOIUrl":"https://doi.org/10.14529/mmp200101","url":null,"abstract":"The article presents a review of the work of the Chelyabinsk mathematical school on Sobolev type equations in studying the optimal control problems for linear Sobolev type models with initial Cauchy (Showalter–Sidorov) conditions or initial-final conditions. To identify the nonemptiness of the set of feasible solutions to the control problem we use the phase space method, which has already proved itself in solving Sobolev type equations. The method reduces the singular equation to a regular one defined on some subspace of the original space and applies the theory of degenerate (semi)groups of operators to the case of relatively bounded, sectorial and radial operators. Here mathematical models are reduced to initial (initial-final) problems for an abstract Sobolev type equation. Abstract results are applied to the study of control problems for the Barenblatt–Zheltov–Kochina mathematical model, which describes fluid filtration in a fractured-porous medium, the Hoff model on a graph simulating the dynamics of I-beam bulging in a construction, and the Boussinesq– Löve model describing longitudinal vibrations in a thin elastic rod, taking into account inertia and under external load, or the propagation of waves in shallow water.","PeriodicalId":44106,"journal":{"name":"Bulletin of the South Ural State University Series-Mathematical Modelling Programming & Computer Software","volume":"288 1","pages":"5-27"},"PeriodicalIF":0.2,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73092643","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":"Dynamics of Separation Points During Vertical Impact of a Floating Rectangular Cylinder","authors":"M. Norkin","doi":"10.14529/mmp200209","DOIUrl":"https://doi.org/10.14529/mmp200209","url":null,"abstract":"","PeriodicalId":44106,"journal":{"name":"Bulletin of the South Ural State University Series-Mathematical Modelling Programming & Computer Software","volume":"33 1","pages":"108-120"},"PeriodicalIF":0.2,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73775116","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}
S. Usilin, V. Arlazarov, N. S. Rokhlin, S. Rudyka, S. Matveev, A. Zatsarinnyy
In this paper, the problem of training the Viola–Jones detector for 3D objects is considered on the example of an inflatable life raft PSN-10. The detector is trained on a fully synthetic training dataset. The paper discusses in detail the methods of modelling an inflatable life raft, water surface, various weather conditions. As a feature space, we use edge Haar-like features, which allow training the detector that is resistant to various lighting conditions. To increase the computational efficiency, the L1 norm is used to calculate the magnitude of the image gradient. The performance of the trained detector is estimated on real data obtained during the rescue operation of the trawler “Dalniy Vostok”. The proposed method for training the Viola–Jones detectors can be successfully used as a component of hardware and software “assistants” of the UAV.
{"title":"Training Viola-Jones Detectors for 3D Objects Based on Fully Synthetic Data for Use in Rescue Missions with UAV","authors":"S. Usilin, V. Arlazarov, N. S. Rokhlin, S. Rudyka, S. Matveev, A. Zatsarinnyy","doi":"10.14529/MMP200408","DOIUrl":"https://doi.org/10.14529/MMP200408","url":null,"abstract":"In this paper, the problem of training the Viola–Jones detector for 3D objects is considered on the example of an inflatable life raft PSN-10. The detector is trained on a fully synthetic training dataset. The paper discusses in detail the methods of modelling an inflatable life raft, water surface, various weather conditions. As a feature space, we use edge Haar-like features, which allow training the detector that is resistant to various lighting conditions. To increase the computational efficiency, the L1 norm is used to calculate the magnitude of the image gradient. The performance of the trained detector is estimated on real data obtained during the rescue operation of the trawler “Dalniy Vostok”. The proposed method for training the Viola–Jones detectors can be successfully used as a component of hardware and software “assistants” of the UAV.","PeriodicalId":44106,"journal":{"name":"Bulletin of the South Ural State University Series-Mathematical Modelling Programming & Computer Software","volume":"07 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85999710","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":"Implementation of Surface-Related Multiple Prediction Problem on Reconfigurable Computer Systems","authors":"K. Alekseev, I. Levin, D. Sorokin, Supercomputers","doi":"10.14529/mmp200106","DOIUrl":"https://doi.org/10.14529/mmp200106","url":null,"abstract":"","PeriodicalId":44106,"journal":{"name":"Bulletin of the South Ural State University Series-Mathematical Modelling Programming & Computer Software","volume":"161 1","pages":"81-94"},"PeriodicalIF":0.2,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86213766","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":"PNACO: Parallel Algorithm for Neighbour Joining Hybridized with Ant Colony Optimization on Multi-Core System","authors":"W. Yahia, Ghassan. E. Arif, M. Al-Neama","doi":"10.14529/MMP200409","DOIUrl":"https://doi.org/10.14529/MMP200409","url":null,"abstract":"","PeriodicalId":44106,"journal":{"name":"Bulletin of the South Ural State University Series-Mathematical Modelling Programming & Computer Software","volume":"1 1","pages":"107-118"},"PeriodicalIF":0.2,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78440235","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 Long-Term Forecasting Model of Electricity Consumption Volume on the Example of Ups of the Ural with the Help of Harmonic Analysis of a Time Series","authors":"V. Mokhov, T. Demyanenko","doi":"10.14529/mmp200308","DOIUrl":"https://doi.org/10.14529/mmp200308","url":null,"abstract":"","PeriodicalId":44106,"journal":{"name":"Bulletin of the South Ural State University Series-Mathematical Modelling Programming & Computer Software","volume":"17 1","pages":"80-85"},"PeriodicalIF":0.2,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80485697","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":"Commutative Encryption Method Based on Hidden Logarithm Problem","authors":"D. Moldovyan, N. Moldovyan, A. Moldovyan","doi":"10.14529/mmp200205","DOIUrl":"https://doi.org/10.14529/mmp200205","url":null,"abstract":"","PeriodicalId":44106,"journal":{"name":"Bulletin of the South Ural State University Series-Mathematical Modelling Programming & Computer Software","volume":"92 1","pages":"54-68"},"PeriodicalIF":0.2,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90672748","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":"Modelling of the Electromagnetic Field in Horizontally Layered Radially Inhomogeneous Anisotropic Media","authors":"P. N. Aleksandrov, V. N. Krizsky","doi":"10.14529/mmp200208","DOIUrl":"https://doi.org/10.14529/mmp200208","url":null,"abstract":"","PeriodicalId":44106,"journal":{"name":"Bulletin of the South Ural State University Series-Mathematical Modelling Programming & Computer Software","volume":"7 1","pages":"93-107"},"PeriodicalIF":0.2,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75998432","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":"Model of Optimization of Average Flow Speed in a Pipe","authors":"N. S. Goncharov","doi":"10.14529/mmp200212","DOIUrl":"https://doi.org/10.14529/mmp200212","url":null,"abstract":"","PeriodicalId":44106,"journal":{"name":"Bulletin of the South Ural State University Series-Mathematical Modelling Programming & Computer Software","volume":"10 1","pages":"136-143"},"PeriodicalIF":0.2,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74446476","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}
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