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USSR Computational Mathematics and Mathematical Physics最新文献

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Chebyshev acceleration of the schwarz alternation process 施瓦兹交替过程的切比雪夫加速
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90077-6
S.A. Sander
{"title":"Chebyshev acceleration of the schwarz alternation process","authors":"S.A. Sander","doi":"10.1016/0041-5553(90)90077-6","DOIUrl":"10.1016/0041-5553(90)90077-6","url":null,"abstract":"<div><p>Chebyshev acceleration of a difference analogue of the Schwarz alternation process is considered. Estimates for the rate of convergence, in the <em>W</em><sub>2<em>h</em></sub><sup>1</sup> norm, are presented.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 2","pages":"Pages 62-67"},"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)90077-6","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77243136","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 maximum principle residual functional in optimal control theory 最优控制理论中的最大原理残差泛函
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90053-U
M.I. Sumin
{"title":"The maximum principle residual functional in optimal control theory","authors":"M.I. Sumin","doi":"10.1016/0041-5553(90)90053-U","DOIUrl":"10.1016/0041-5553(90)90053-U","url":null,"abstract":"<div><p>The possibilities of applying results related to the so-called maximum principle residual functional to justify and design algorithms for solving optimal control problems and discussed. The differential properties of the value function of the optimal control problem are established. A dual method for solving the optimal control problem, based on maximizing the value function of a modified Lagrange functional, is described.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 4","pages":"Pages 117-129"},"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)90053-U","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77631730","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
Numerical solution of a quasilinear parabolic equation with a boundary layer 一类带边界层的拟线性抛物方程的数值解
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90190-4
I.P. Boglayev
{"title":"Numerical solution of a quasilinear parabolic equation with a boundary layer","authors":"I.P. Boglayev","doi":"10.1016/0041-5553(90)90190-4","DOIUrl":"10.1016/0041-5553(90)90190-4","url":null,"abstract":"<div><p>To solve a quasilinear parabolic equation with small parameter multiplying the derivatives with respect to the spatial variables, a numerical method is constructed with an estimate of the error, which is uniform with respect to the parameter. The construction of a nonlinear difference scheme is based on the method of straight lines and on the application of exact systems to one-dimensional problems. The computational mesh is chosen so that its density increases in a suitable way in the neighbourhood of the boundary. We propose that the nonlinear scheme be solved by an iterative algorithm, which converges uniformly with respect to the small parameter.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 3","pages":"Pages 55-63"},"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)90190-4","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91487894","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: 14
The Korteweg-de Vries, Kadomtsev-Petviashvili and Boussinesq equations. Modulation theory Korteweg-de Vries, Kadomtsev-Petviashvili和Boussinesq方程。调制理论
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90173-P
V.N. Bogayevskii
{"title":"The Korteweg-de Vries, Kadomtsev-Petviashvili and Boussinesq equations. Modulation theory","authors":"V.N. Bogayevskii","doi":"10.1016/0041-5553(90)90173-P","DOIUrl":"10.1016/0041-5553(90)90173-P","url":null,"abstract":"","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 5","pages":"Pages 148-159"},"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)90173-P","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91292180","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
Localized compression regimes in a heat-conducting gas 热传导气体的局部压缩状态
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90088-A
V.V. Gudkov, A.P. Mikhailov, V.V. Stepanova
{"title":"Localized compression regimes in a heat-conducting gas","authors":"V.V. Gudkov,&nbsp;A.P. Mikhailov,&nbsp;V.V. Stepanova","doi":"10.1016/0041-5553(90)90088-A","DOIUrl":"10.1016/0041-5553(90)90088-A","url":null,"abstract":"<div><p>The effect of limiting regimes with peaking on a compressible sphere with thermal conductivity <em>χ</em> = <em>χ</em><sub>0</sub><em>ρ</em><sup><em>α</em></sup><em>T</em><sup><em>β</em></sup>, <em>β</em> &gt; 0, is examined. The investigation is carried out for selfsimilar solutions of the power type. Conditions are established for shockless supercompression of the material and joint localization of the thermal and gas-dynamic processes, which depend on the thermophysical properties of the medium and the limiting law. The phenomena are also investigated numerically.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 2","pages":"Pages 130-138"},"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)90088-A","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90575549","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
Decomposition in extremal problems of special structure 特殊结构极值问题的分解
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90041-P
I.S. Litvinchev
{"title":"Decomposition in extremal problems of special structure","authors":"I.S. Litvinchev","doi":"10.1016/0041-5553(90)90041-P","DOIUrl":"10.1016/0041-5553(90)90041-P","url":null,"abstract":"<div><p>A decomposition method based on aggregated macrovariables is proposed for optimization problems in which some of the constraints have a special structure — block, block-separable, or blocks with coupling variables. A number of standard decomposition methods are derived in the proposed framework. Problems with known bounds on the coupling variables are considered.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 4","pages":"Pages 32-38"},"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)90041-P","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85670820","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
On an inertial flow 关于惯性流
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90126-D
Yu.D. Shmyglevskii
{"title":"On an inertial flow","authors":"Yu.D. Shmyglevskii","doi":"10.1016/0041-5553(90)90126-D","DOIUrl":"10.1016/0041-5553(90)90126-D","url":null,"abstract":"<div><p>An example of a steady axisymmetric flow of an incompressible fluid, with a non-zero peripheral velocity component and straight streamlines, is constructed.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 6","pages":"Pages 167-168"},"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)90126-D","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"99282866","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
Digital simulation of evolutionary stochastic differential equations 进化随机微分方程的数字模拟
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90056-X
Yu.G. Bulychev, S.A. Pogonyshev
{"title":"Digital simulation of evolutionary stochastic differential equations","authors":"Yu.G. Bulychev,&nbsp;S.A. Pogonyshev","doi":"10.1016/0041-5553(90)90056-X","DOIUrl":"10.1016/0041-5553(90)90056-X","url":null,"abstract":"<div><p>Euler, Euler-Cauchy, and Runge-Kutta difference schemes and Fast Fourier-Transform procedures are used to develop efficient methods for the digital simulation of evolutionary stochastic partial differential equations that ensure the desired computational accuracy at minimum cost. Bounds of the computation errors are given.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 4","pages":"Pages 143-149"},"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)90056-X","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73568887","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 solvability of the three-dimensional inverse problem for the non-linear Navier-Stokes equations 非线性Navier-Stokes方程三维反问题的可解性
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90177-T
I.A. Vasin, A.I. Prilepko
{"title":"The solvability of the three-dimensional inverse problem for the non-linear Navier-Stokes equations","authors":"I.A. Vasin,&nbsp;A.I. Prilepko","doi":"10.1016/0041-5553(90)90177-T","DOIUrl":"10.1016/0041-5553(90)90177-T","url":null,"abstract":"","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 5","pages":"Pages 189-199"},"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)90177-T","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86089803","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: 8
Programming a generalized cholesky algorithm for mixed discrete analogues of elliptic boundary-value problems 椭圆型混合离散类似物边值问题的广义cholesky算法编程
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90076-5
A.A. Kobozeva, L.V. Maslovskaya
{"title":"Programming a generalized cholesky algorithm for mixed discrete analogues of elliptic boundary-value problems","authors":"A.A. Kobozeva,&nbsp;L.V. Maslovskaya","doi":"10.1016/0041-5553(90)90076-5","DOIUrl":"10.1016/0041-5553(90)90076-5","url":null,"abstract":"<div><p>An approach to the programming of a new algorithm involving a certain numbering of the unknowns is proposed, the use of which does not require permutation of rows and columns of the system to ensure stability of the solution algorithm. A method is proposed for solving the corresponding system of linear algebraic equations, whose matrix is not positive-definite but is of a special form.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 2","pages":"Pages 56-62"},"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)90076-5","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89515448","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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