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USSR Computational Mathematics and Mathematical Physics最新文献

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An alternative method for the numerical solution of the integrodifferential heat-conduction equation 积分微分热传导方程数值解的另一种方法
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90016-L
E.N. Baidakov, G.N. Kuvyrkin
{"title":"An alternative method for the numerical solution of the integrodifferential heat-conduction equation","authors":"E.N. Baidakov,&nbsp;G.N. Kuvyrkin","doi":"10.1016/0041-5553(90)90016-L","DOIUrl":"10.1016/0041-5553(90)90016-L","url":null,"abstract":"<div><p>An algorithm is developed using the finite-element method for calculating the temperature field in a bounded domain allowing for the finite rate of propagation of heat during pulsed surface heating. An accumulating finite element mesh is used in order to remove the oscillations in the solution behind the temperature wave front. An investigation of the error in the calculations enables a rational approach to be taken to the choice of parameters in the integration scheme. Calculations of the propagation and reflection of the temperature waves due to pulsed surface charging are presented.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 1","pages":"Pages 118-122"},"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)90016-L","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84142758","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
The use of block symmetries to solve algebraic eigenvalue problems 利用块对称求解代数特征值问题
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90103-Y
Kh.D. Ikramov
{"title":"The use of block symmetries to solve algebraic eigenvalue problems","authors":"Kh.D. Ikramov","doi":"10.1016/0041-5553(90)90103-Y","DOIUrl":"10.1016/0041-5553(90)90103-Y","url":null,"abstract":"<div><p>Some techniques for utilizing the block structure of a number of classes of special matrices are discussed. These structural features consist of intrablock symmetry and antisymmetry. The purpose of this study is to reduce the computing time and memory requirements for solving spectral problems for such matrices.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 6","pages":"Pages 9-16"},"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)90103-Y","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81711569","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: 1
The discrete Ψ -transformation method in integer programming 整数规划中的离散Ψ -变换方法
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90026-O
D.V. Ofitserov
{"title":"The discrete Ψ -transformation method in integer programming","authors":"D.V. Ofitserov","doi":"10.1016/0041-5553(90)90026-O","DOIUrl":"10.1016/0041-5553(90)90026-O","url":null,"abstract":"<div><p>A new method is proposed for solving integer and mixed integer programming problems — the discrete Ψ-transformation method. One of the features of the proposed method is its ability to predict the global extremum value of the objective function and correspondingly the error of the solution.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 1","pages":"Pages 170-178"},"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)90026-O","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83219981","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
Asymptotic error bounds in Galerkin approximation for a certain class of quasipotential equations 一类拟势方程伽辽金近似的渐近误差界
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90201-3
E.P. Zhidov, E.G. Nikonov, B.N. Khoromskii
{"title":"Asymptotic error bounds in Galerkin approximation for a certain class of quasipotential equations","authors":"E.P. Zhidov,&nbsp;E.G. Nikonov,&nbsp;B.N. Khoromskii","doi":"10.1016/0041-5553(90)90201-3","DOIUrl":"10.1016/0041-5553(90)90201-3","url":null,"abstract":"<div><p>Error bounds for the Galerkin approximation of solutions to the eigenvalue problem are derived for a class of quasipotential integral equations. In the case of completely continuous operators conditions are derived under which the error in the approximate solutions of a spectral problem can be expanded in powers of a parameter <em>r</em><sup>−1</sup>,where <em>r</em> is the length of the discretization interval of the integral operator, which is defined on a half-line.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 3","pages":"Pages 133-140"},"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)90201-3","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78745917","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 class of non-linear integral equations 一类非线性积分方程
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90008-G
N.G. Ushakov
{"title":"A class of non-linear integral equations","authors":"N.G. Ushakov","doi":"10.1016/0041-5553(90)90008-G","DOIUrl":"10.1016/0041-5553(90)90008-G","url":null,"abstract":"<div><p>The solution of implicit non-linear integral equations, of a type which occurs in scanning electron microscopy, is considered. The conditions for the solution to be unique are derived. Problems arising in the construction of iterative sequences converging to the solution are considered.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 1","pages":"Pages 65-73"},"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)90008-G","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89356586","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
The general problem of stability analysis in linear programming 线性规划中稳定性分析的一般问题
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90018-N
S.M. Shvartin
{"title":"The general problem of stability analysis in linear programming","authors":"S.M. Shvartin","doi":"10.1016/0041-5553(90)90018-N","DOIUrl":"10.1016/0041-5553(90)90018-N","url":null,"abstract":"<div><p>The set of all canonical linear programming problems is considered for which a specified vector is a nondegenerate supporting optimal solution, and also the set of all such problems for which perturbations of the linear form coefficients not exceeding a given number leave the optimal solution invariant.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 1","pages":"Pages 125-128"},"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)90018-N","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85797980","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
Fundamental solutions and Green's formulae for families of equations arising in the theory of the oscillations of a stratified viscous liquid 层状粘性液体振荡理论中方程组族的基本解和格林公式
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90174-Q
A.G. Sveshnikov, S.T. Simakov
{"title":"Fundamental solutions and Green's formulae for families of equations arising in the theory of the oscillations of a stratified viscous liquid","authors":"A.G. Sveshnikov,&nbsp;S.T. Simakov","doi":"10.1016/0041-5553(90)90174-Q","DOIUrl":"10.1016/0041-5553(90)90174-Q","url":null,"abstract":"","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 5","pages":"Pages 159-167"},"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)90174-Q","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83641631","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
An unsaturated method for the discretization of systems of linear differential equations unsolved with respect to derivatives 关于导数的未解线性微分方程系统离散化的不饱和方法
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90166-P
P.N. Denisenko
{"title":"An unsaturated method for the discretization of systems of linear differential equations unsolved with respect to derivatives","authors":"P.N. Denisenko","doi":"10.1016/0041-5553(90)90166-P","DOIUrl":"10.1016/0041-5553(90)90166-P","url":null,"abstract":"","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 5","pages":"Pages 100-106"},"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)90166-P","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79015067","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
Diffraction by a strip parallel to the surface of a compressible stratified liquid 平行于可压缩的分层液体表面的条衍射
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90159-P
R.R. Gabdullin
{"title":"Diffraction by a strip parallel to the surface of a compressible stratified liquid","authors":"R.R. Gabdullin","doi":"10.1016/0041-5553(90)90159-P","DOIUrl":"10.1016/0041-5553(90)90159-P","url":null,"abstract":"","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 5","pages":"Pages 35-41"},"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)90159-P","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84844951","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 numerical-asymptotic multicomponent averaging method for equations with contrasting coefficients 系数对比方程的数值渐近多分量平均方法
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90027-P
G.P. Panasenko
{"title":"A numerical-asymptotic multicomponent averaging method for equations with contrasting coefficients","authors":"G.P. Panasenko","doi":"10.1016/0041-5553(90)90027-P","DOIUrl":"10.1016/0041-5553(90)90027-P","url":null,"abstract":"<div><p>A new numerical-asymptotic method is proposed for constructing asymptotic solutions of equations that describe processes in strongly nonhomogeneous periodic media.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 1","pages":"Pages 178-186"},"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)90027-P","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88792924","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
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