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USSR Computational Mathematics and Mathematical Physics最新文献

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The direct Lyapunov method in investigating the attraction of trajectories of finite-difference inclusions 研究有限差分内含物轨迹吸引的直接李雅普诺夫方法
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90003-B
S.K. Zavriyev, A.G. Perevozchikov
{"title":"The direct Lyapunov method in investigating the attraction of trajectories of finite-difference inclusions","authors":"S.K. Zavriyev,&nbsp;A.G. Perevozchikov","doi":"10.1016/0041-5553(90)90003-B","DOIUrl":"10.1016/0041-5553(90)90003-B","url":null,"abstract":"<div><p>Finite-difference analogues of differential inclusions encountered in the theory of optimization and some other areas are considered. The region of attraction of the trajectories of finite-difference inclusions with respect to an arbitrary Lipschitz Lyapunov function, differentiable with respect to any direction, is investigated.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 1","pages":"Pages 15-22"},"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)90003-B","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73098440","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: 4
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. Maikov, A. D. Poyezd, S. Yakunin
{"title":"An economical method for computing unsteady temporally non-local radiation conditions for waveguide systems","authors":"A. Maikov, A. D. Poyezd, S. Yakunin","doi":"10.1016/0041-5553(90)90066-2","DOIUrl":"https://doi.org/10.1016/0041-5553(90)90066-2","url":null,"abstract":"","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"38 1","pages":"213-216"},"PeriodicalIF":0.0,"publicationDate":"1990-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74077369","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 asymptotic forms of the solution of a non-linear problem for a singularly perturbed system of diffusion-sorption equations 一类奇异摄动扩散-吸收方程组非线性问题解的渐近形式
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90049-X
A.V. Nesterov
{"title":"The asymptotic forms of the solution of a non-linear problem for a singularly perturbed system of diffusion-sorption equations","authors":"A.V. Nesterov","doi":"10.1016/0041-5553(90)90049-X","DOIUrl":"10.1016/0041-5553(90)90049-X","url":null,"abstract":"<div><p>An asymptotic expansion is constructed to solve a boundary-value problem for a singularly perturbed system of non-linear differential equations of the diffusion-sorption type.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 4","pages":"Pages 99-102"},"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)90049-X","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"102881852","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
Application of the pade approximation to the solution of dynamic problems of the theory of elasticity for a space weakened by a plane crack 页近似在平面裂纹削弱空间弹性理论动力学问题解中的应用
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90118-C
A.V. Kaptsov, E.I. Shifrin
{"title":"Application of the pade approximation to the solution of dynamic problems of the theory of elasticity for a space weakened by a plane crack","authors":"A.V. Kaptsov,&nbsp;E.I. Shifrin","doi":"10.1016/0041-5553(90)90118-C","DOIUrl":"10.1016/0041-5553(90)90118-C","url":null,"abstract":"","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 6","pages":"Page 118"},"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)90118-C","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"97384993","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
Direct numerical integration of the boltzmann equation for neutral gas mixtures 中性气体混合物玻尔兹曼方程的直接数值积分
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90099-E
A.A. Raines
{"title":"Direct numerical integration of the boltzmann equation for neutral gas mixtures","authors":"A.A. Raines","doi":"10.1016/0041-5553(90)90099-E","DOIUrl":"10.1016/0041-5553(90)90099-E","url":null,"abstract":"","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 2","pages":"Page 198"},"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)90099-E","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75579178","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
Some properties of discrete fuzzy sets 离散模糊集的若干性质
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90050-3
M.F. Kaspshitskaya, I.V. Sergienko, A.I. Stiranka
{"title":"Some properties of discrete fuzzy sets","authors":"M.F. Kaspshitskaya,&nbsp;I.V. Sergienko,&nbsp;A.I. Stiranka","doi":"10.1016/0041-5553(90)90050-3","DOIUrl":"10.1016/0041-5553(90)90050-3","url":null,"abstract":"<div><p>Discrete fuzzy sets and a possible method of defining metrics on them are considered. The proposed method is based on the concept of quasisupport functions given below, and is more general than those described previously. A range of assertions concerning the properties of quasisupport functions of combinational fuzzy sets is also given.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 4","pages":"Pages 103-107"},"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)90050-3","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75412162","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
Chaplygin's method for the numerical solution of differential equations with a delayed argument 具有延迟参数的微分方程数值解的Chaplygin方法
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90212-B
L.M. Berezanskii, L.V. Idel's
{"title":"Chaplygin's method for the numerical solution of differential equations with a delayed argument","authors":"L.M. Berezanskii,&nbsp;L.V. Idel's","doi":"10.1016/0041-5553(90)90212-B","DOIUrl":"10.1016/0041-5553(90)90212-B","url":null,"abstract":"<div><p>The numerical solution of differential equations with a delayed argument, based on the two-sided Chaplygin method is considered. Theorems on the convergence of monotonie operators are proved, and an algorithm and the results of numerical solutions are presented.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 3","pages":"Pages 215-219"},"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)90212-B","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73101895","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
Non-linear spectra of matrices and extremal problems 矩阵的非线性谱与极值问题
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90199-3
A.N. Buslayev
{"title":"Non-linear spectra of matrices and extremal problems","authors":"A.N. Buslayev","doi":"10.1016/0041-5553(90)90199-3","DOIUrl":"10.1016/0041-5553(90)90199-3","url":null,"abstract":"<div><p>Theoretical questions and the computational aspects of the search for the spectral values λ and vectors <em>xϵR</em><sup><em>m</em></sup>{<em>ϵ</em>0} of a system <em>A</em><sup><em>τ</em></sup>(<em>Ax</em>)<sub>(<em>q</em>)</sub> = <em>λ</em><sup><em>q</em></sup>(<em>x</em>)<sub>(<em>p</em>)</sub>, where <em>A</em> is a <em>k</em> × <em>m</em> matrix, 1 ⩽ <em>p</em>, <em>q</em> &lt; ∞ are presented. When <em>p</em> = <em>q</em> = 2 this is simply the problem of determining the singular values of <em>A</em>. Nonlinear systems ((<em>p</em> − 2)<sup>2</sup> + (<em>q</em> − 2)<sup>2</sup> ≠ 0) arise in many fields of analysis, mechanics and approximation theory.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 3","pages":"Pages 117-126"},"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)90199-3","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74440432","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 influence of the “wrapping” effect on finding upper and lower estimates of solutions of systems of ordinary differential equations “包裹”效应对常微分方程组解的上估计和下估计的影响
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90181-Q
V.A. Novikov, A.N. Rogalyev
{"title":"The influence of the “wrapping” effect on finding upper and lower estimates of solutions of systems of ordinary differential equations","authors":"V.A. Novikov,&nbsp;A.N. Rogalyev","doi":"10.1016/0041-5553(90)90181-Q","DOIUrl":"10.1016/0041-5553(90)90181-Q","url":null,"abstract":"","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 5","pages":"Pages 229-231"},"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)90181-Q","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73756772","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
Difference methods in problems of the optimal control of the steady selfaction of light beams 光束自稳态最优控制问题的差分方法
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90055-W
M.M. Potapov, A.V. Razgulin
{"title":"Difference methods in problems of the optimal control of the steady selfaction of light beams","authors":"M.M. Potapov,&nbsp;A.V. Razgulin","doi":"10.1016/0041-5553(90)90055-W","DOIUrl":"10.1016/0041-5553(90)90055-W","url":null,"abstract":"<div><p>A discussion is presented of optimization problems arising in the simulation of the propagation of optical radiation in a material medium with different regimes of absorption and field selfaction. Estimates are established for the rate of convergence of difference and projection-difference schemes for the appropriate non-linear differential equations, no prior assumptions being made as to the smoothness of the generalized solutions or compatability conditions for the grid step-sizes. Estimates are also obtained for the rate of convergence of the finite-dimensional approximations to the optimal control problems based on these schemes.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 4","pages":"Pages 134-142"},"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)90055-W","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74614954","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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