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USSR Computational Mathematics and Mathematical Physics最新文献

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A new approach to the numerical solution of non-linear equations 非线性方程数值解的新方法
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90105-2
N.S. Vasil'yev
{"title":"A new approach to the numerical solution of non-linear equations","authors":"N.S. Vasil'yev","doi":"10.1016/0041-5553(90)90105-2","DOIUrl":"10.1016/0041-5553(90)90105-2","url":null,"abstract":"<div><p>The approach is based on the projection of surfaces on to coordinate axes. The proposed algorithm takes account of the special properties of the functions occurring in the non-linear equations. These properties are convexity, separability, and monotonicity with respect to groups of variables or individual variables.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 6","pages":"Pages 26-32"},"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)90105-2","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"97984486","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 investigation of the stability of certain two-layer difference schemes 若干双层差分格式的稳定性研究
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90015-K
N.Yu. Bakayev
{"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}
引用次数: 0
Gyroscopic waves in media with time-dependent flow and rotation 随时间流动和旋转介质中的陀螺波
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90029-R
A.A. Tikilyainen
{"title":"Gyroscopic waves in media with time-dependent flow and rotation","authors":"A.A. Tikilyainen","doi":"10.1016/0041-5553(90)90029-R","DOIUrl":"10.1016/0041-5553(90)90029-R","url":null,"abstract":"<div><p>This paper continues the author's previous study of the propagation of gyroscopic waves in a fluid with drift along the axis of rotation. The case of a time-dependent drift velocity and rotation frequency is considered.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 1","pages":"Pages 197-202"},"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)90029-R","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88138164","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
Integer minimization of fractional-separable functions 分数可分函数的整数极小化
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90170-W
G.B. Rubal'skii
{"title":"Integer minimization of fractional-separable functions","authors":"G.B. Rubal'skii","doi":"10.1016/0041-5553(90)90170-W","DOIUrl":"10.1016/0041-5553(90)90170-W","url":null,"abstract":"","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 5","pages":"Pages 124-132"},"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)90170-W","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82722241","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
Averaging of a problem in the elastic theory of a non-symmetric layered membrane 非对称层状膜弹性理论中一个问题的平均
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90068-4
M.V. Reztsov
{"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}
引用次数: 0
Asymptotic behaviour of rapidly oscillating contrasting spatial structures 快速振荡对比空间结构的渐近行为
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90028-Q
S.A. Kashchenko
{"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}
引用次数: 2
Ablation of large meteors during radiative heating 大流星在辐射加热过程中的消融
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90124-B
P.I. Chushkin, A.K. Sharipov
{"title":"Ablation of large meteors during radiative heating","authors":"P.I. Chushkin,&nbsp;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}
引用次数: 1
An iterative method of quasi-solution in problems of diffraction by dielectric bodies 介电体衍射问题准解的迭代方法
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90009-H
Yu.A. Eremin, A.G. Sveshnikov
{"title":"An iterative method of quasi-solution in problems of diffraction by dielectric bodies","authors":"Yu.A. Eremin,&nbsp;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}
引用次数: 0
Computer experiments to find the minimum lower unity of a monotone Boolean function 求单调布尔函数最小下单位的计算机实验
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90063-X
V.G. Ustyuzhaninov
{"title":"Computer experiments to find the minimum lower unity of a monotone Boolean function","authors":"V.G. Ustyuzhaninov","doi":"10.1016/0041-5553(90)90063-X","DOIUrl":"10.1016/0041-5553(90)90063-X","url":null,"abstract":"<div><p>The problem of finding a minimum-norm point from the truth set of a monotone Boolean function is considered. A multiple descent algorithm is proposed for solving the problem. Some results of its application to the problem of finding the minimum covering of a binary table, which is reducible to the original problem, are presented. A formula is derived linking the average number of irredundant coverings of a binary table with its size and spectrum.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 4","pages":"Pages 196-203"},"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)90063-X","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83947740","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 difference scheme for a non-linear singularly perturbed second-order equation 一类非线性奇摄动二阶方程的差分格式
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90167-Q
A.I. Zadorin, V.N. Ignat'yev
{"title":"A difference scheme for a non-linear singularly perturbed second-order equation","authors":"A.I. Zadorin,&nbsp;V.N. Ignat'yev","doi":"10.1016/0041-5553(90)90167-Q","DOIUrl":"10.1016/0041-5553(90)90167-Q","url":null,"abstract":"","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 5","pages":"Pages 107-111"},"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)90167-Q","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88256246","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
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