{"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}
{"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, A.G. Mikheyev, E.Yu. Rabotnova, 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}
{"title":"Ablation of large meteors during radiative heating","authors":"P.I. Chushkin, A.K. Sharipov","doi":"10.1016/0041-5553(90)90124-B","DOIUrl":"10.1016/0041-5553(90)90124-B","url":null,"abstract":"<div><p>A problem in radiative gas dynamics concerning the removal of mass and the change in shape of a large cosmic body caused by heating due to the emission of the shock layer on entering the earth's atmosphere is solved. The equations of motion of an ablating body are calculated simultaneously with the determination of the aerodynamic forces and the radiative thermal fluxes. The spectral emission is treated in the diffusion approximation and under the assumption of a locally one-dimensional optically planar layer. The results of calculations for three natural cosmic objects belonging to different classes (stony and iron meteorites and a snow-ice comet body) are presented.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 6","pages":"Pages 154-162"},"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)90124-B","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81923681","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":"Averaging of a problem in the elastic theory of a non-symmetric layered membrane","authors":"M.V. Reztsov","doi":"10.1016/0041-5553(90)90068-4","DOIUrl":"https://doi.org/10.1016/0041-5553(90)90068-4","url":null,"abstract":"","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 4","pages":"Pages 217-218"},"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)90068-4","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91684364","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":"An investigation of the stability of certain two-layer difference schemes","authors":"N.Yu. Bakayev","doi":"10.1016/0041-5553(90)90015-K","DOIUrl":"10.1016/0041-5553(90)90015-K","url":null,"abstract":"<div><p>Estimates of the stability of weighted difference schemes in the norms of Banach spaces are constructed. On the basis of these, corresponding estimates are obtained for the stability, in the norms of the spaces <em>C</em><sub><em>h</em></sub> and <em>L</em><sub><em>ph</em></sub>, 1 ⩽ <em>p</em> ∞, of difference schemes which approximate an initial-boundary value problem for the heat-conduction equation with boundary conditions of the first, second and third kinds.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 1","pages":"Pages 114-117"},"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)90015-K","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86067907","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":"Two methods for solving the problem of heat transfer in a rarefied gas","authors":"V.V. Aristov, M.S. Ivanov, 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}
{"title":"Asymptotic behaviour of rapidly oscillating contrasting spatial structures","authors":"S.A. Kashchenko","doi":"10.1016/0041-5553(90)90028-Q","DOIUrl":"10.1016/0041-5553(90)90028-Q","url":null,"abstract":"<div><p>The asymptotic behaviour of equilibria that rapidly oscillate in the spatial coordinate in a system of two nonlinear parabolic equations with a sufficiently small diffusion coefficient in one of them is investigated. The normalization method is applied to show that the local dynamics of the original system with a small parameter multiplying one of the high-order derivatives is determined by the non-local behaviour of the solutions of a family of special boundary-value problems that are independent of the small parameter.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 1","pages":"Pages 186-197"},"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)90028-Q","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81774566","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":"An iterative method of quasi-solution in problems of diffraction by dielectric bodies","authors":"Yu.A. Eremin, A.G. Sveshnikov","doi":"10.1016/0041-5553(90)90009-H","DOIUrl":"10.1016/0041-5553(90)90009-H","url":null,"abstract":"<div><p>The solution of the problem of diffraction by a uniform dielectric body is reduced to the solution of a system of integral equations of the first kind over the boundary. The method of minimum discrepancies is used to construct an approximate solution, and the necessary condition for it to converge is obtained.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 1","pages":"Pages 74-79"},"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)90009-H","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83597962","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}