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USSR Computational Mathematics and Mathematical Physics最新文献

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On the use of hybrid grid-characteristic schemes for the numerical solution of three-dimensional problems in the dynamics of a deformable solid 可变形固体动力学三维问题的混合网格-特征格式数值解的应用
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 Epub Date: 2004-04-01 DOI: 10.1016/0041-5553(90)90062-W
I.B. Petrov, A.G. Tormasov, A.S. Kholodov
{"title":"On the use of hybrid grid-characteristic schemes for the numerical solution of three-dimensional problems in the dynamics of a deformable solid","authors":"I.B. Petrov,&nbsp;A.G. Tormasov,&nbsp;A.S. Kholodov","doi":"10.1016/0041-5553(90)90062-W","DOIUrl":"10.1016/0041-5553(90)90062-W","url":null,"abstract":"<div><p>The three-dimensional dynamical problem of the oblique impact of a rigid pellet on a deformable elastoplastic barrier is solved using a hybrid grid-characteristic scheme for the numerical solution of non-stationary systems of hyperbolic equations. Thegrid-characteristic hybrid scheme is adapted for the numerical solution of multidimensional non-stationary problems in the mechanics of deformable bodies.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 4","pages":"Pages 191-196"},"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)90062-W","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74491333","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: 20
On the existence of solutions of the contrast structure type 论对比结构类型解的存在性
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 Epub Date: 2004-04-01 DOI: 10.1016/0041-5553(90)90007-F
A.B. Vasil'yeva, A.V. Pavel'yev
{"title":"On the existence of solutions of the contrast structure type","authors":"A.B. Vasil'yeva,&nbsp;A.V. Pavel'yev","doi":"10.1016/0041-5553(90)90007-F","DOIUrl":"10.1016/0041-5553(90)90007-F","url":null,"abstract":"<div><p>A proof of the existence of stationary solutions of a system of two diffusion equations, where the solutions are of the contrast-structure type is given.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 1","pages":"Pages 54-64"},"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)90007-F","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"101926062","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
Analysis of transient electromagnetic processes in wire antenna systems 有线天线系统瞬变电磁过程分析
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 Epub Date: 2004-04-01 DOI: 10.1016/0041-5553(90)90017-M
V.A. Strizhkov
{"title":"Analysis of transient electromagnetic processes in wire antenna systems","authors":"V.A. Strizhkov","doi":"10.1016/0041-5553(90)90017-M","DOIUrl":"10.1016/0041-5553(90)90017-M","url":null,"abstract":"<div><p>The problems of the correctness and accuracy of the Fredholm integral equations of the first kind which arise when analysing non-stationary processes in thin-wire structures are investigated. Some transients that occur in antenna arrays consisting of unbalanced dipoles are considered.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 1","pages":"Pages 123-125"},"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)90017-M","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78393661","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
Exact auxiliary functions in optimization problems 优化问题中的精确辅助函数
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 Epub Date: 2004-04-01 DOI: 10.1016/0041-5553(90)90005-D
Yu.G. Yevtushenko, V.G. Zhadan
{"title":"Exact auxiliary functions in optimization problems","authors":"Yu.G. Yevtushenko,&nbsp;V.G. Zhadan","doi":"10.1016/0041-5553(90)90005-D","DOIUrl":"10.1016/0041-5553(90)90005-D","url":null,"abstract":"<div><p>The concept of an exact auxiliary function such that the problem of minimizing it has the same set of solutions as the original optimization problem. Sufficient conditions are given for the auxiliary functions to be exact and examples of such functions are described. The introduction of exact auxiliary functions makes it possible to reduce the solution of the original problem to single minimization of an auxiliary function. The constrained optimization problem often reduces to unconstrained optimization.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 1","pages":"Pages 31-42"},"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)90005-D","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75780671","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: 33
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 Epub Date: 2004-04-01 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
A method for the asymptotic solution of singularly perturbed linear terminal control problems 奇异摄动线性末端控制问题渐近解的一种方法
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 Epub Date: 2004-04-01 DOI: 10.1016/0041-5553(90)90072-Z
A.I. Kalinin
{"title":"A method for the asymptotic solution of singularly perturbed linear terminal control problems","authors":"A.I. Kalinin","doi":"10.1016/0041-5553(90)90072-Z","DOIUrl":"10.1016/0041-5553(90)90072-Z","url":null,"abstract":"<div><p>Terminal control of a singularly perturbed linear system, with constraints on the right endpoint of the trajectory is considered. The asymptotic behaviour of the solution is analysed and on that basis an algorithm is proposed for the asymptotic allocation of optimal control switching points. A computational procedure is outlined which utilizes the asymptotic approximations to obtain an exact solution for any given value of the small parameter.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 2","pages":"Pages 19-28"},"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)90072-Z","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78132247","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 Epub Date: 2004-04-01 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
The multidimensional stationary phase method. The second term of the asymptotic expansions 多维定相法。渐近展开式的第二项
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 Epub Date: 2004-04-01 DOI: 10.1016/0041-5553(90)90196-Y
M.V. Fedoryuk
{"title":"The multidimensional stationary phase method. The second term of the asymptotic expansions","authors":"M.V. Fedoryuk","doi":"10.1016/0041-5553(90)90196-Y","DOIUrl":"10.1016/0041-5553(90)90196-Y","url":null,"abstract":"<div><p>The second term in the asymptotic expansion of the contribution from a nondegenerate stationary point is determined for the multidimensional case.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 3","pages":"Pages 104-107"},"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)90196-Y","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83164517","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
Discrete unsteady radiation conditions for cylindrical systems, a convergence theorem 圆柱系统的离散非定常辐射条件，一个收敛定理
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 Epub Date: 2004-04-01 DOI: 10.1016/0041-5553(90)90158-O
A.D. Poezd, S.A. Yakunin
{"title":"Discrete unsteady radiation conditions for cylindrical systems, a convergence theorem","authors":"A.D. Poezd,&nbsp;S.A. Yakunin","doi":"10.1016/0041-5553(90)90158-O","DOIUrl":"10.1016/0041-5553(90)90158-O","url":null,"abstract":"","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 5","pages":"Pages 29-35"},"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)90158-O","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79823336","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 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 Epub Date: 2004-04-01 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
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