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USSR Computational Mathematics and Mathematical Physics最新文献

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A numerical method for solving Hill's equation in problems of quantum mechanics 量子力学问题中求解希尔方程的数值方法
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90019-O
V.A. Lukin, V.M. Pshenichnikov
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引用次数: 0
Optimal regularization of solutions of approximate stochastic systems of linear algebraic equations 线性代数方程近似随机系统解的最优正则化
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90180-Z
A.I. Zhdanov
{"title":"Optimal regularization of solutions of approximate stochastic systems of linear algebraic equations","authors":"A.I. Zhdanov","doi":"10.1016/0041-5553(90)90180-Z","DOIUrl":"10.1016/0041-5553(90)90180-Z","url":null,"abstract":"","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 5","pages":"Pages 224-229"},"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)90180-Z","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82663796","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: 2
Convergence properties of the gradient method under conditions of variable-level interference 变电平干扰条件下梯度法的收敛性
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90040-Y
S.K. Zavriev
{"title":"Convergence properties of the gradient method under conditions of variable-level interference","authors":"S.K. Zavriev","doi":"10.1016/0041-5553(90)90040-Y","DOIUrl":"10.1016/0041-5553(90)90040-Y","url":null,"abstract":"<div><p>The method of steepest gradient descent is considered on the assumption that the values of the objective function and its gradients are computed inaccurately. The limit set of the trajectories of the method is determined. For some types of noise this set cannot be made smaller for any problem of the class under consideration.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 4","pages":"Pages 24-32"},"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)90040-Y","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90245739","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: 4
The Pareto-optimality of nash equilibrium in dynamic controlled systems with conflict 具有冲突的动态控制系统纳什均衡的pareto最优性
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90039-U
M.B. Mamedov
{"title":"The Pareto-optimality of nash equilibrium in dynamic controlled systems with conflict","authors":"M.B. Mamedov","doi":"10.1016/0041-5553(90)90039-U","DOIUrl":"10.1016/0041-5553(90)90039-U","url":null,"abstract":"<div><p>Sufficient conditions are derived for the Pareto-optimality of an equilibrium. A class of positional differential games satisfying these conditions are considered. In other words, equilibria that are unimprovable in the equilibrium set are Pareto-optimal, i.e., unimprovable among all the situations of the game.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 4","pages":"Pages 16-24"},"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)90039-U","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88894879","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
Computation of the maximum guaranteed payoff in dynamic models of conflict situations 动态冲突模型中最大保证收益的计算
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90023-L
S.A. Yevseyeva
{"title":"Computation of the maximum guaranteed payoff in dynamic models of conflict situations","authors":"S.A. Yevseyeva","doi":"10.1016/0041-5553(90)90023-L","DOIUrl":"10.1016/0041-5553(90)90023-L","url":null,"abstract":"<div><p>The conflict situations in question are described by repeated two-person bimatrix games. The problem is to determine the maximum guaranteed payoff to the first player. A numerical algorithm computing the solution is constructed and implemented as a program.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 1","pages":"Pages 142-147"},"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)90023-L","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88920606","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
On an initial-boundary value problem which arises in the dynamics of a compressible stratified fluid 可压缩分层流体动力学中的初边值问题
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90080-C
S.A. Gabov, A.T. Sundukova
{"title":"On an initial-boundary value problem which arises in the dynamics of a compressible stratified fluid","authors":"S.A. Gabov,&nbsp;A.T. Sundukova","doi":"10.1016/0041-5553(90)90080-C","DOIUrl":"10.1016/0041-5553(90)90080-C","url":null,"abstract":"<div><p>An initial-boundary value problem is considered which describes the linear vibrations of a compressible stratified fluid with a free surface in a bounded vessel. A generalized system of equations is considered for which a theorem concerned with the existence and uniqueness of the solution is proved.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 2","pages":"Pages 79-85"},"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)90080-C","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79611262","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
Reduced-direction methods with feasible points in nonlinear programming 非线性规划中可行点的约简方向方法
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90025-N
V.S. Izhutkin, M.Yu. Kokurin
{"title":"Reduced-direction methods with feasible points in nonlinear programming","authors":"V.S. Izhutkin,&nbsp;M.Yu. Kokurin","doi":"10.1016/0041-5553(90)90025-N","DOIUrl":"10.1016/0041-5553(90)90025-N","url":null,"abstract":"<div><p>An approach to the construction of feasible direction type methods of nonlinear programming is proposed. The approach relies on linearization of the active constraints, which reduces the problem of choosing a direction of descent of the objective function inside the feasible region to an unconstrained direction-choosing problem for an auxiliary function in a lower-dimensional space. The approach is developed for problems with inequality constraints and extended to problems with both inequality and equality constraints.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 1","pages":"Pages 159-169"},"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)90025-N","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89977655","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
The flow of electric current from rectilinear electrodes in a magnetized semiconductor film 在磁化的半导体薄膜中从直线电极流出的电流
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90109-6
P.A. Krutitskii
{"title":"The flow of electric current from rectilinear electrodes in a magnetized semiconductor film","authors":"P.A. Krutitskii","doi":"10.1016/0041-5553(90)90109-6","DOIUrl":"10.1016/0041-5553(90)90109-6","url":null,"abstract":"<div><p>An explicit solution of the boundary value problem with a skew derivative in the boundary condition describing the flow of electric current from a system of rectilinear electrodes, sealed into a semiconductor film, placed in a constant magnetic field, is given. The cases of closed and open systems (when there are current sources at infinity) are considered. The features of the electric field in the region of the ends of the electrodes are investigated. It is shown that the formulation of the problem does not change when the system of coordinates is rotated.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 6","pages":"Pages 64-73"},"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)90109-6","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90913520","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
Averaging of the stationary problem of heat conduction in a thin inhomogeneous plate 非均匀薄板热传导平稳问题的平均
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90101-W
V.Yu. Dubinskaya
{"title":"Averaging of the stationary problem of heat conduction in a thin inhomogeneous plate","authors":"V.Yu. Dubinskaya","doi":"10.1016/0041-5553(90)90101-W","DOIUrl":"10.1016/0041-5553(90)90101-W","url":null,"abstract":"","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 2","pages":"Pages 201-202"},"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)90101-W","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91199107","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 generating an interpolating curve with piecewise sign-constant curvature 一种生成分段常数曲率插值曲线的方法
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90211-A
V.L. Murashko, I.L. Osipov
{"title":"A method of generating an interpolating curve with piecewise sign-constant curvature","authors":"V.L. Murashko,&nbsp;I.L. Osipov","doi":"10.1016/0041-5553(90)90211-A","DOIUrl":"10.1016/0041-5553(90)90211-A","url":null,"abstract":"<div><p>A method of interpolating a function of one variable whose values and first derivatives are fixed at the end-points of an interval is described. The solution of the problem is a one-parameter family of second-order curves. An example of the application of the method to the global construction of an interpolating curve is given.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 3","pages":"Pages 212-214"},"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)90211-A","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73775260","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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