{"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}
{"title":"The properties of effective modulus of composition plates","authors":"M.V. Reztsov","doi":"10.1016/0041-5553(90)90113-7","DOIUrl":"10.1016/0041-5553(90)90113-7","url":null,"abstract":"<div><p>Some data are obtained which enable the results of previous papers on the averaging of composite plates to be generalized to the case of a composition layer whose structure is restricted by requirement of physical symmetry with respect to the middle plane.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 6","pages":"Pages 103-105"},"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)90113-7","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75646626","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":"Determination of the absorption coefficient in the spherically symmetric case","authors":"V.I. Gryn","doi":"10.1016/0041-5553(90)90160-T","DOIUrl":"10.1016/0041-5553(90)90160-T","url":null,"abstract":"","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 5","pages":"Pages 42-54"},"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)90160-T","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81635692","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 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}
{"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}
{"title":"The projection method for singularly perturbed boundary-value problems","authors":"I.A. Blatov","doi":"10.1016/0041-5553(90)90043-R","DOIUrl":"10.1016/0041-5553(90)90043-R","url":null,"abstract":"<div><p>A finite element method for linear and non-linear singularly perturbed boundary-value problems is considered. It is proved that the approximate solutions converge to the exact solution in the norm of the space of continuous functions, uniformly in the small parameter. The proposed scheme is suitable for solving a wider class of problems than can be handled by the popular “hinged element method”, and also produces a higher order of approximation.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 4","pages":"Pages 47-56"},"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)90043-R","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80360164","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":"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}
{"title":"A method for the numerical solution of integral equations in boundary value problems with finite-order Abelian symmetry groups","authors":"E.V. Zakharov, S.I. Safronov, R.P. Tarasov","doi":"10.1016/0041-5553(90)90107-4","DOIUrl":"10.1016/0041-5553(90)90107-4","url":null,"abstract":"<div><p>It is shown that for boundary value problems with commutative finite-order symmetry groups it is possible to use the concepts of convolution and the Fourier transform for finite groups to reduce considerably the order of the matrix equations used to approximate the original integral equations, and thus to extend the range of problems amenable to numerical analysis. An implementation of this method is considered for boundary value problems with Abelian symmetry group of eighth order, describing a quadrupole-type system. Results of a numerical experiment are presented for this case, enabling the efficiency of the method to be estimated.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 6","pages":"Pages 44-53"},"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)90107-4","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74209948","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 maximum principle residual functional in optimal control theory","authors":"M.I. Sumin","doi":"10.1016/0041-5553(90)90053-U","DOIUrl":"10.1016/0041-5553(90)90053-U","url":null,"abstract":"<div><p>The possibilities of applying results related to the so-called maximum principle residual functional to justify and design algorithms for solving optimal control problems and discussed. The differential properties of the value function of the optimal control problem are established. A dual method for solving the optimal control problem, based on maximizing the value function of a modified Lagrange functional, is described.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 4","pages":"Pages 117-129"},"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)90053-U","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77631730","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}