{"title":"Methods of splitting by subdomains for the neutron transport equation","authors":"B.D. Abramov, S.B. Shikhov","doi":"10.1016/0041-5553(90)90110-E","DOIUrl":"10.1016/0041-5553(90)90110-E","url":null,"abstract":"<div><p>A family of methods of iterations in subdomains, intended for solving boundary-value problems in neutron transport theory is analysed. These methods are generated by certain schemes for splitting positive operators in Banach spaces with a cone. The comparative characteristics of such methods are studied and the most efficient ones are indicated.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 6","pages":"Pages 74-86"},"PeriodicalIF":0.0,"publicationDate":"1990-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0041-5553(90)90110-E","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73420293","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 numerical calculation of beams of charged particles by iterations over subregions","authors":"V.M. Sveshnikov, V.A. Syrovoi","doi":"10.1016/0041-5553(90)90108-5","DOIUrl":"10.1016/0041-5553(90)90108-5","url":null,"abstract":"<div><p>An algorithm for iterations over subregions is constructed for calculating non-relativistic two-dimensional electrostatic beams of space-charge limited charged particles. The emission current density is determined from the distribution of the electric-field strength at the “collector” using antiparaxial expansions, which describe the region near the emitter.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 6","pages":"Pages 54-64"},"PeriodicalIF":0.0,"publicationDate":"1990-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0041-5553(90)90108-5","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89396522","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":"Computer experiments to find the minimum lower unity of a monotone Boolean function","authors":"V.G. Ustyuzhaninov","doi":"10.1016/0041-5553(90)90063-X","DOIUrl":"10.1016/0041-5553(90)90063-X","url":null,"abstract":"<div><p>The problem of finding a minimum-norm point from the truth set of a monotone Boolean function is considered. A multiple descent algorithm is proposed for solving the problem. Some results of its application to the problem of finding the minimum covering of a binary table, which is reducible to the original problem, are presented. A formula is derived linking the average number of irredundant coverings of a binary table with its size and spectrum.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 4","pages":"Pages 196-203"},"PeriodicalIF":0.0,"publicationDate":"1990-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0041-5553(90)90063-X","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83947740","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":"Methods for the simultaneous solution of the equations of gas dynamics and the kinetics of multiply-charged plasma","authors":"A.V. Borovskii, A.L. Galkin, V.G. Priimak, E.V. Chizhonkov","doi":"10.1016/0041-5553(90)90163-M","DOIUrl":"10.1016/0041-5553(90)90163-M","url":null,"abstract":"","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 5","pages":"Pages 72-81"},"PeriodicalIF":0.0,"publicationDate":"1990-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0041-5553(90)90163-M","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76587799","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 collocation-grid method on moving grids for the numerical modelling of boundary layers","authors":"B.P. Kolobov, Zh.L. Korobitsyna, A.V. Plyasunova, A.G. Sleptsov","doi":"10.1016/0041-5553(90)90087-9","DOIUrl":"10.1016/0041-5553(90)90087-9","url":null,"abstract":"<div><p>A collocation-grid method of arbitrary order of accuracy is proposed for the numerical solution of systems of equations, including the boundary-layer equations, using grids that adapt to the solution. Results of calculations for laminar and turbulent plane boundary layers without a pressure gradient, as well as turbulent boundary layers with small polymer impurities and laminar boundary layers with a pressure gradient are presented.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 2","pages":"Pages 120-129"},"PeriodicalIF":0.0,"publicationDate":"1990-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0041-5553(90)90087-9","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79766418","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 priori” estimates in problems of the synthesis of interference coatings","authors":"E.L. Gusev","doi":"10.1016/0041-5553(90)90032-N","DOIUrl":"10.1016/0041-5553(90)90032-N","url":null,"abstract":"<div><p>Problems of the synthesis of interference coatings under the action of electromagnetic waves are treated in a variational formulation. <em>A priori</em> estimates for the bounds of the change in the thickness and the number of layers of the optimal system are obtained on the basis of a constructive analysis of the necessary conditions of optimality. A knowledge of such estimates enables one to reduce substantially the number of permissible versions of the multilayer structures which are analysed for optimality.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 1","pages":"Pages 218-225"},"PeriodicalIF":0.0,"publicationDate":"1990-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0041-5553(90)90032-N","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72599757","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":"Gyroscopic waves in media with time-dependent flow and rotation","authors":"A.A. Tikilyainen","doi":"10.1016/0041-5553(90)90029-R","DOIUrl":"10.1016/0041-5553(90)90029-R","url":null,"abstract":"<div><p>This paper continues the author's previous study of the propagation of gyroscopic waves in a fluid with drift along the axis of rotation. The case of a time-dependent drift velocity and rotation frequency is considered.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 1","pages":"Pages 197-202"},"PeriodicalIF":0.0,"publicationDate":"1990-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0041-5553(90)90029-R","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88138164","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":"An economical method for computing unsteady temporally non-local radiation conditions for waveguide systems","authors":"A. Maikov, A. D. Poyezd, S. Yakunin","doi":"10.1016/0041-5553(90)90066-2","DOIUrl":"https://doi.org/10.1016/0041-5553(90)90066-2","url":null,"abstract":"","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"38 1","pages":"213-216"},"PeriodicalIF":0.0,"publicationDate":"1990-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74077369","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":"Investigation of an equation of electrophysics","authors":"V.V. Dyakin, V.Ya. Rayevskii","doi":"10.1016/0041-5553(90)90031-M","DOIUrl":"10.1016/0041-5553(90)90031-M","url":null,"abstract":"<div><p>The vector integral equation <span><span><span><math><mtext>αM+▿ </mtext><mtext>∫</mtext><mtext>ω</mtext><mtext>M▿|ξ−y|</mtext><msup><mi></mi><mn>−1</mn></msup><mtext> dy=H, α⩾0, ω⊂</mtext><mtext>R</mtext><msup><mi></mi><mn>3</mn></msup></math></span></span></span>, encountered in classical problems of electrostatics and magnetostatics, is investigated. The structure and properties of its solutions are investigated by studying the corresponding integral operator, and a numerical method is proposed.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 1","pages":"Pages 213-217"},"PeriodicalIF":0.0,"publicationDate":"1990-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0041-5553(90)90031-M","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81013896","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 direct Lyapunov method in investigating the attraction of trajectories of finite-difference inclusions","authors":"S.K. Zavriyev, A.G. Perevozchikov","doi":"10.1016/0041-5553(90)90003-B","DOIUrl":"10.1016/0041-5553(90)90003-B","url":null,"abstract":"<div><p>Finite-difference analogues of differential inclusions encountered in the theory of optimization and some other areas are considered. The region of attraction of the trajectories of finite-difference inclusions with respect to an arbitrary Lipschitz Lyapunov function, differentiable with respect to any direction, is investigated.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 1","pages":"Pages 15-22"},"PeriodicalIF":0.0,"publicationDate":"1990-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0041-5553(90)90003-B","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73098440","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}