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USSR Computational Mathematics and Mathematical Physics最新文献

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On the appproximation properties of an implicit difference scheme for the equations of gas dynamics 气体动力学方程隐式差分格式的近似性质
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90048-W
I.I. Vorozhtsov, V.L. Yumashev
{"title":"On the appproximation properties of an implicit difference scheme for the equations of gas dynamics","authors":"I.I. Vorozhtsov,&nbsp;V.L. Yumashev","doi":"10.1016/0041-5553(90)90048-W","DOIUrl":"10.1016/0041-5553(90)90048-W","url":null,"abstract":"<div><p>The two- and three-layer versions of a symmetric implicit difference scheme on distributed nets in the case of the one-dimensional equation of gas dynamics in the Euler form are considered. The approximate viscosity of the scheme is investigated by the method of differential approximation. The change in the approximation properties of the scheme when a mobile net is employed is analyzed. The results of a numerical experiment are presented.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 4","pages":"Pages 92-98"},"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)90048-W","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85261269","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 iterative decomposition method in single-stage stochastic integer-programming problems 单阶段随机整数规划问题的迭代分解方法
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90171-N
I.L. Averbakh
{"title":"An iterative decomposition method in single-stage stochastic integer-programming problems","authors":"I.L. Averbakh","doi":"10.1016/0041-5553(90)90171-N","DOIUrl":"10.1016/0041-5553(90)90171-N","url":null,"abstract":"","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 5","pages":"Pages 133-139"},"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)90171-N","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85396337","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 method of solving Fokker-Planck kinetic equations for a plasma 求解等离子体Fokker-Planck动力学方程的方法
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90209-B
V.N. Novikov
{"title":"A method of solving Fokker-Planck kinetic equations for a plasma","authors":"V.N. Novikov","doi":"10.1016/0041-5553(90)90209-B","DOIUrl":"10.1016/0041-5553(90)90209-B","url":null,"abstract":"<div><p>A method of solving Fokker-Planck plasma equations based on transformations to special non-stationary curvilinear coordinate systems where the resulting equations have no mixed derivatives is described.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 3","pages":"Pages 198-206"},"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)90209-B","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91199809","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
Asymptotic behaviour of the solution of the singularly perturbed parabolic problem in the critical case 奇异摄动抛物型问题在临界情况下解的渐近性质
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90204-6
V.Yu. Buchnev
{"title":"Asymptotic behaviour of the solution of the singularly perturbed parabolic problem in the critical case","authors":"V.Yu. Buchnev","doi":"10.1016/0041-5553(90)90204-6","DOIUrl":"10.1016/0041-5553(90)90204-6","url":null,"abstract":"<div><p>A zeroth-order boundary-layer asymptotic expansion is constructed and proved for solving a mixed boundary-value problem for a parabolic equation in the critical case. A smoothing procedure is applied to the nonsmooth terms of the asymptotic expansion when constructing the solution.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 3","pages":"Pages 154-161"},"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)90204-6","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90123648","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 formation of ordered vortex structures from unstable oscillations in the boundary layer 边界层不稳定振荡形成有序涡结构
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90123-A
O.S. Ryzhov
{"title":"The formation of ordered vortex structures from unstable oscillations in the boundary layer","authors":"O.S. Ryzhov","doi":"10.1016/0041-5553(90)90123-A","DOIUrl":"10.1016/0041-5553(90)90123-A","url":null,"abstract":"<div><p>The results of an asymptotic approach to the propagation of comparatively large amplitude perturbations in a boundary layer are described. The properties of the non-linear process being considered are established using the Benjamin-Ono equation. The behaviour of the periodic solution of this equation as a function of the magnitude of the arbitrary constants is analysed. A comparison with available experimental data shows that a description of the basic regularities following from them can be achieved within the framework of the asymptotic theory. It is concluded from this that the development of Tollmin-Schlichting waves with an increasing amplitude in the boundary layer leads to the formation of ordered vortex structures of the soliton type.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 6","pages":"Pages 146-154"},"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)90123-A","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88923284","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: 10
An economical method for computing unsteady temporally non-local radiation conditions for waveguide systems 计算波导系统非定常时非局部辐射条件的经济方法
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90066-2
A.R. Maikov, A.D. Poyezd, S.A. Yakunin
{"title":"An economical method for computing unsteady temporally non-local radiation conditions for waveguide systems","authors":"A.R. Maikov,&nbsp;A.D. Poyezd,&nbsp;S.A. Yakunin","doi":"10.1016/0041-5553(90)90066-2","DOIUrl":"https://doi.org/10.1016/0041-5553(90)90066-2","url":null,"abstract":"<div><p>An account is given of exact temporally non-local unsteady partial radiation conditions for half-open waveguide systems and an analysis is carried out. These conditions may be implemented in the discrete case by a method of temporal macrosteps, which enables one to store in the computer memory at most a fixed number of harmonics of one of the electric field components from the previous time levels. The efficiency of the method is demonstrated through a number of model problems.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 4","pages":"Pages 213-216"},"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)90066-2","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91684366","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
Investigation of an equation of electrophysics 一个电物理方程的研究
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90031-M
V.V. Dyakin, V.Ya. Rayevskii
{"title":"Investigation of an equation of electrophysics","authors":"V.V. Dyakin,&nbsp;V.Ya. Rayevskii","doi":"10.1016/0041-5553(90)90031-M","DOIUrl":"10.1016/0041-5553(90)90031-M","url":null,"abstract":"<div><p>The vector integral equation <span><span><span><math><mtext>αM+▿ </mtext><mtext>∫</mtext><mtext>ω</mtext><mtext>M▿|ξ−y|</mtext><msup><mi></mi><mn>−1</mn></msup><mtext> dy=H, α⩾0, ω⊂</mtext><mtext>R</mtext><msup><mi></mi><mn>3</mn></msup></math></span></span></span>, encountered in classical problems of electrostatics and magnetostatics, is investigated. The structure and properties of its solutions are investigated by studying the corresponding integral operator, and a numerical method is proposed.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 1","pages":"Pages 213-217"},"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)90031-M","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81013896","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
Finite splitting algorithm for the j-symmetric generalized eigenvalue problem j对称广义特征值问题的有限分裂算法
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90119-D
M.S. Sagitov
{"title":"Finite splitting algorithm for the j-symmetric generalized eigenvalue problem","authors":"M.S. Sagitov","doi":"10.1016/0041-5553(90)90119-D","DOIUrl":"10.1016/0041-5553(90)90119-D","url":null,"abstract":"<div><p>The properties of matrix pencils associated with the numerical solution of matrix Riccati equations are considered. In particular, a new notion is defined — <em>J</em>-symmetric matrix pencils — and a finite orthogonal and symplectic algorithm is proposed for such pencils, halving the order of the generalized eigenvalue problem.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 6","pages":"Pages 119-126"},"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)90119-D","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82700593","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
On an implicit scheme with correction of flows for the numerical solution of Euler's equation 欧拉方程数值解的带流动修正的隐式格式
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90098-D
V.I. Pinchukov
{"title":"On an implicit scheme with correction of flows for the numerical solution of Euler's equation","authors":"V.I. Pinchukov","doi":"10.1016/0041-5553(90)90098-D","DOIUrl":"10.1016/0041-5553(90)90098-D","url":null,"abstract":"","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 2","pages":"Pages 196-197"},"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)90098-D","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82862495","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
Localization of the spectrum of the eigenvalue problem nonlinear in the spectral parameter 谱的局部化问题是非线性谱参数中的特征值问题
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90195-X
V.T. Zakharchuk, N.P. Savenkova
{"title":"Localization of the spectrum of the eigenvalue problem nonlinear in the spectral parameter","authors":"V.T. Zakharchuk,&nbsp;N.P. Savenkova","doi":"10.1016/0041-5553(90)90195-X","DOIUrl":"10.1016/0041-5553(90)90195-X","url":null,"abstract":"<div><p>An approach which enables one to localize the spectrum of some classes of eigenvalue problems nonlinear in the spectral parameters is proposed and proved. The application of the proposed approach to some test examples is described.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 3","pages":"Pages 102-104"},"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)90195-X","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82922999","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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