{"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":"Numerical canonical factorization algorithms and their application","authors":"R.P. Tarasov","doi":"10.1016/0041-5553(90)90070-9","DOIUrl":"10.1016/0041-5553(90)90070-9","url":null,"abstract":"<div><p>A study is made of numerical algorithms for canonical factorization, of two types: a) polar decomposition of an arbitrary bounded operator in <em>H</em>-space, and b) factorization of an operator-valued function of the unilateral shift operator in the space <em>l</em><sub>2</sub>.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 2","pages":"Pages 1-12"},"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)90070-9","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79396440","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":"A method of finding the integral characteristics of attenuation factors for transfer equations","authors":"D.S. Anikonov, I.Sh. Irkegulov","doi":"10.1016/0041-5553(90)90065-Z","DOIUrl":"https://doi.org/10.1016/0041-5553(90)90065-Z","url":null,"abstract":"<div><p>An algorithm for finding the integral characteristics (optical thicknesses) of attenuation factors for illuminated regions containing inner zones of various forms is constructed and numerically implemented.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 4","pages":"Pages 208-212"},"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)90065-Z","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91684365","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 generalized residual principle and generalized residual method for l-pseudo-solutions","authors":"B. Aliyev","doi":"10.1016/0041-5553(90)90183-S","DOIUrl":"10.1016/0041-5553(90)90183-S","url":null,"abstract":"<div><p>Regularizing algorithms to determine approximations to <em>L</em>-pseudo-solutions are proposed on the basis of a generalized residual principle and a generalized residual method, when the initial data are specified only approximately. It is shown that the algorithms are equivalent.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 3","pages":"Pages 1-7"},"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)90183-S","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91348529","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":"External estimates and construction of attainability sets for controlled systems","authors":"D.L. Kondrat'yev, A.V. Lotov","doi":"10.1016/0041-5553(90)90083-5","DOIUrl":"10.1016/0041-5553(90)90083-5","url":null,"abstract":"<div><p>A numerical method for constructing external estimates of attainability sets for non-linear controlled systems of ordinary differential equations is proposed. In some cases the method enables the attainability set itself to be approximated.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 2","pages":"Pages 93-97"},"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)90083-5","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91539396","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 method for solving the radiation transport equation in planar and spherical geometry","authors":"V.I. Gryn, A.I. Marchenko, V.V. Urban","doi":"10.1016/0041-5553(90)90060-6","DOIUrl":"10.1016/0041-5553(90)90060-6","url":null,"abstract":"<div><p>A computational scheme is proposed for the numerical solution of the stationary radiation transport equation ignoring scattering. It is proved that, at large optical thicknesses, the cosines and absorption coefficients averaged over the one-sided radiation intensities cannot be used in the zeroth approximation and it is necessary to use their first approximation.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 4","pages":"Pages 172-181"},"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)90060-6","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89671765","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":"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}