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USSR Computational Mathematics and Mathematical Physics最新文献

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A numerical calculation of beams of charged particles by iterations over subregions 带电粒子束在子区域上迭代的数值计算
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90108-5
V.M. Sveshnikov, V.A. Syrovoi
{"title":"A numerical calculation of beams of charged particles by iterations over subregions","authors":"V.M. Sveshnikov,&nbsp;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}
引用次数: 0
Methods for the simultaneous solution of the equations of gas dynamics and the kinetics of multiply-charged plasma 气体动力学方程和多电荷等离子体动力学方程的同时求解方法
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90163-M
A.V. Borovskii, A.L. Galkin, V.G. Priimak, E.V. Chizhonkov
{"title":"Methods for the simultaneous solution of the equations of gas dynamics and the kinetics of multiply-charged plasma","authors":"A.V. Borovskii,&nbsp;A.L. Galkin,&nbsp;V.G. Priimak,&nbsp;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}
引用次数: 0
“A priori” estimates in problems of the synthesis of interference coatings 干涉涂层合成问题的“先验”估计
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90032-N
E.L. Gusev
{"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}
引用次数: 0
Methods of splitting by subdomains for the neutron transport equation 中子输运方程的子域分裂方法
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90110-E
B.D. Abramov, S.B. Shikhov
{"title":"Methods of splitting by subdomains for the neutron transport equation","authors":"B.D. Abramov,&nbsp;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}
引用次数: 3
A collocation-grid method on moving grids for the numerical modelling of boundary layers 边界层数值模拟的移动网格配网格法
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90087-9
B.P. Kolobov, Zh.L. Korobitsyna, A.V. Plyasunova, A.G. Sleptsov
{"title":"A collocation-grid method on moving grids for the numerical modelling of boundary layers","authors":"B.P. Kolobov,&nbsp;Zh.L. Korobitsyna,&nbsp;A.V. Plyasunova,&nbsp;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}
引用次数: 0
Comparison of two-numerical methods for solving the problem of the diffraction of an E-polarized plane wave by an ideally conducting periodic surface 求解e偏振平面波经理想导电周期表面衍射问题的两种数值方法的比较
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90188-X
V.A. Korneyev, A.G. Mikheyev, E.Yu. Rabotnova, A.S. Shamayev
{"title":"Comparison of two-numerical methods for solving the problem of the diffraction of an E-polarized plane wave by an ideally conducting periodic surface","authors":"V.A. Korneyev,&nbsp;A.G. Mikheyev,&nbsp;E.Yu. Rabotnova,&nbsp;A.S. Shamayev","doi":"10.1016/0041-5553(90)90188-X","DOIUrl":"10.1016/0041-5553(90)90188-X","url":null,"abstract":"<div><p>The method of collocation and the “integral equation” method, which is based on the use of the fast Fourier transform, are compared. The two algorithms are described and the results of numerical calculations of the surface currents and amplitudes of the non-decaying reflected plane waves obtained by the two methods are presented. Tables of the energy defects, the normalized difference of the solutions in <em>L</em><sub>2</sub>[0,2<em>π</em>] and the times required to carry out calculations on a ES-1055 digital computer are given. The operation of the two algorithms is analysed.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 3","pages":"Pages 41-46"},"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)90188-X","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73876166","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}
引用次数: 0
Two methods for solving the problem of heat transfer in a rarefied gas 解决稀薄气体传热问题的两种方法
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90097-C
V.V. Aristov, M.S. Ivanov, F.G. Cheremisin
{"title":"Two methods for solving the problem of heat transfer in a rarefied gas","authors":"V.V. Aristov,&nbsp;M.S. Ivanov,&nbsp;F.G. Cheremisin","doi":"10.1016/0041-5553(90)90097-C","DOIUrl":"10.1016/0041-5553(90)90097-C","url":null,"abstract":"<div><p>The problem of stationary one-dimensional heat flow between parallel flat surfaces in a rarefied gas is solved using two independent numerical methods: the finite difference method of direct solution of the Boltzmann equation and the method of direct statistical simulation. By comparing the results, the accuracy of the methods is established and the algorithms for solving the problem are verified. The features of the flow are investigated for a wide range of Knudsen numbers.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 2","pages":"Pages 193-195"},"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)90097-C","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80898337","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}
引用次数: 5
Monotonization of a family of implicit schemes 一类隐式格式的单调化
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90186-V
V.I. Pinchukov
{"title":"Monotonization of a family of implicit schemes","authors":"V.I. Pinchukov","doi":"10.1016/0041-5553(90)90186-V","DOIUrl":"10.1016/0041-5553(90)90186-V","url":null,"abstract":"<div><p>An algorithm is proposed for monotonizing the correction of implicit schemes with high order of approximation of the space derivatives. The transport equation with one space variable is used as an example to prove that the corrected schemes are indeed monotone, provided that the time-step is restricted.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 3","pages":"Pages 23-28"},"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)90186-V","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87583886","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}
引用次数: 0
A mathematical programming problem with a convex irregular feasible set 具有凸不规则可行集的数学规划问题
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90203-5
V.N. Nefedov
{"title":"A mathematical programming problem with a convex irregular feasible set","authors":"V.N. Nefedov","doi":"10.1016/0041-5553(90)90203-5","DOIUrl":"10.1016/0041-5553(90)90203-5","url":null,"abstract":"<div><p>An exact and an approximate method for reducing a mathematical programming problem with a convex irregular feasible set to a mathematical programming problem with a regular feasible set is proposed.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 3","pages":"Pages 145-154"},"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)90203-5","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84345740","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}
引用次数: 0
A method of increasing the stability of an implicit upwind scheme with three-point scalar pivotal condensations for Euler's equation 欧拉方程带三点标量枢纽凝聚的隐式迎风格式稳定性的一种提高方法
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90182-R
V.E. Kozlov
{"title":"A method of increasing the stability of an implicit upwind scheme with three-point scalar pivotal condensations for Euler's equation","authors":"V.E. Kozlov","doi":"10.1016/0041-5553(90)90182-R","DOIUrl":"10.1016/0041-5553(90)90182-R","url":null,"abstract":"","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 5","pages":"Pages 232-234"},"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)90182-R","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85989143","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}
引用次数: 0
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