{"title":"Analysis of transient electromagnetic processes in wire antenna systems","authors":"V.A. Strizhkov","doi":"10.1016/0041-5553(90)90017-M","DOIUrl":"10.1016/0041-5553(90)90017-M","url":null,"abstract":"<div><p>The problems of the correctness and accuracy of the Fredholm integral equations of the first kind which arise when analysing non-stationary processes in thin-wire structures are investigated. Some transients that occur in antenna arrays consisting of unbalanced dipoles are considered.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 1","pages":"Pages 123-125"},"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)90017-M","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78393661","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 asymptotic solution of singularly perturbed linear terminal control problems","authors":"A.I. Kalinin","doi":"10.1016/0041-5553(90)90072-Z","DOIUrl":"10.1016/0041-5553(90)90072-Z","url":null,"abstract":"<div><p>Terminal control of a singularly perturbed linear system, with constraints on the right endpoint of the trajectory is considered. The asymptotic behaviour of the solution is analysed and on that basis an algorithm is proposed for the asymptotic allocation of optimal control switching points. A computational procedure is outlined which utilizes the asymptotic approximations to obtain an exact solution for any given value of the small parameter.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 2","pages":"Pages 19-28"},"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)90072-Z","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78132247","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":"Construction of a single-step optimal stochastic algorithm for approximating a Lipschitz function","authors":"M.A. Kokorev","doi":"10.1016/0041-5553(90)90184-T","DOIUrl":"10.1016/0041-5553(90)90184-T","url":null,"abstract":"<div><p>The problem of approximating a function satisfying a Lipschitz condition in the interval [<em>a</em>, <em>b</em>] is considered. A single-step optimal stochastic algorithm for selecting the data points is constructed.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 3","pages":"Pages 8-15"},"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)90184-T","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75506825","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":"Exact auxiliary functions in optimization problems","authors":"Yu.G. Yevtushenko, V.G. Zhadan","doi":"10.1016/0041-5553(90)90005-D","DOIUrl":"10.1016/0041-5553(90)90005-D","url":null,"abstract":"<div><p>The concept of an exact auxiliary function such that the problem of minimizing it has the same set of solutions as the original optimization problem. Sufficient conditions are given for the auxiliary functions to be exact and examples of such functions are described. The introduction of exact auxiliary functions makes it possible to reduce the solution of the original problem to single minimization of an auxiliary function. The constrained optimization problem often reduces to unconstrained optimization.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 1","pages":"Pages 31-42"},"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)90005-D","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75780671","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":"Combined recovery of the quadrupole splitting distribution function and the dependence of the isomer shift using Mössbauer spectral data","authors":"O.G. Odintsov, E.A. Pushkarev","doi":"10.1016/0041-5553(90)90168-R","DOIUrl":"10.1016/0041-5553(90)90168-R","url":null,"abstract":"","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 5","pages":"Pages 112-115"},"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)90168-R","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74635483","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":"On the existence of solutions of the contrast structure type","authors":"A.B. Vasil'yeva, A.V. Pavel'yev","doi":"10.1016/0041-5553(90)90007-F","DOIUrl":"10.1016/0041-5553(90)90007-F","url":null,"abstract":"<div><p>A proof of the existence of stationary solutions of a system of two diffusion equations, where the solutions are of the contrast-structure type is given.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 1","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)90007-F","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"101926062","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":"On the use of hybrid grid-characteristic schemes for the numerical solution of three-dimensional problems in the dynamics of a deformable solid","authors":"I.B. Petrov, A.G. Tormasov, A.S. Kholodov","doi":"10.1016/0041-5553(90)90062-W","DOIUrl":"10.1016/0041-5553(90)90062-W","url":null,"abstract":"<div><p>The three-dimensional dynamical problem of the oblique impact of a rigid pellet on a deformable elastoplastic barrier is solved using a hybrid grid-characteristic scheme for the numerical solution of non-stationary systems of hyperbolic equations. Thegrid-characteristic hybrid scheme is adapted for the numerical solution of multidimensional non-stationary problems in the mechanics of deformable bodies.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 4","pages":"Pages 191-196"},"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)90062-W","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74491333","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":"Weighted estimate of the Monte-Carlo method for calculating the higher moments of the additive transport characteristics of multiplying particles","authors":"A.V. Lappa","doi":"10.1016/0041-5553(90)90011-G","DOIUrl":"10.1016/0041-5553(90)90011-G","url":null,"abstract":"<div><p>A closed Integral representation is given for a moment of an arbitrary order of an arbitrary additive stochastic characteristic of a cascade process involving the transport of particles in a substance. An unbiased non-simulation estimate of the Monte-Carlo method is proposed for calculating such moments on the trajectories of a branching Markov process with discrete time. An example of the efficient use of the estimate is given.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 1","pages":"Pages 91-100"},"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)90011-G","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73433610","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}