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USSR Computational Mathematics and Mathematical Physics最新文献

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A numerical method for solving the radiation transport equation in planar and spherical geometry 求解平面和球面几何辐射输运方程的数值方法
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90060-6
V.I. Gryn, A.I. Marchenko, V.V. Urban
{"title":"A numerical method for solving the radiation transport equation in planar and spherical geometry","authors":"V.I. Gryn,&nbsp;A.I. Marchenko,&nbsp;V.V. Urban","doi":"10.1016/0041-5553(90)90060-6","DOIUrl":"10.1016/0041-5553(90)90060-6","url":null,"abstract":"<div><p>A computational scheme is proposed for the numerical solution of the stationary radiation transport equation ignoring scattering. It is proved that, at large optical thicknesses, the cosines and absorption coefficients averaged over the one-sided radiation intensities cannot be used in the zeroth approximation and it is necessary to use their first approximation.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 4","pages":"Pages 172-181"},"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)90060-6","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89671765","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 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 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
On the solvability of the problem of the development of a domain of turbulent homogeneous fluid 紊流均质流体区域发展问题的可解性
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90095-A
V.N. Grebenev
{"title":"On the solvability of the problem of the development of a domain of turbulent homogeneous fluid","authors":"V.N. Grebenev","doi":"10.1016/0041-5553(90)90095-A","DOIUrl":"10.1016/0041-5553(90)90095-A","url":null,"abstract":"<div><p>A one-dimensional model problem concerning the diffusion of a domain of turbulent perturbations in a homogeneous fluid is considered. It is assumed that the process takes place in a half-strip and is characterized by the equation of balance for the turbulent energy. A theorem on the existence of a solution is proved.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 2","pages":"Pages 187-190"},"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)90095-A","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82623622","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
Identification of a two-dimensional model of the flow of a homogeneous liquid in a porous medium 多孔介质中均匀液体流动的二维模型的识别
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90191-T
G.A. Virnovskii, E.I. Levitan
{"title":"Identification of a two-dimensional model of the flow of a homogeneous liquid in a porous medium","authors":"G.A. Virnovskii,&nbsp;E.I. Levitan","doi":"10.1016/0041-5553(90)90191-T","DOIUrl":"10.1016/0041-5553(90)90191-T","url":null,"abstract":"<div><p>The problem of determining the field of permeability of an oil-bearing layer from the variations of the pressure and the yield of liquid at the boring wells can be stated as a problem for the minimum value of a functional and can be approximately solved by means of the methods of optimal control theory. The construction of numerical schemes is discussed. The results of a numerical solution of the problem enable one to draw conclusions regarding the uniqueness of the solution.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 3","pages":"Pages 64-70"},"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)90191-T","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82563314","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
External estimates and construction of attainability sets for controlled systems 受控系统可达性集的外部估计和构造
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90083-5
D.L. Kondrat'yev, A.V. Lotov
{"title":"External estimates and construction of attainability sets for controlled systems","authors":"D.L. Kondrat'yev,&nbsp;A.V. Lotov","doi":"10.1016/0041-5553(90)90083-5","DOIUrl":"10.1016/0041-5553(90)90083-5","url":null,"abstract":"<div><p>A numerical method for constructing external estimates of attainability sets for non-linear controlled systems of ordinary differential equations is proposed. In some cases the method enables the attainability set itself to be approximated.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 2","pages":"Pages 93-97"},"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)90083-5","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91539396","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: 9
Approximating the measurement optimization problems for a parabolic system 抛物线系统测量优化问题的近似
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90156-M
E.K. Kostousova
{"title":"Approximating the measurement optimization problems for a parabolic system","authors":"E.K. Kostousova","doi":"10.1016/0041-5553(90)90156-M","DOIUrl":"10.1016/0041-5553(90)90156-M","url":null,"abstract":"","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 5","pages":"Pages 8-17"},"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)90156-M","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90062420","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
The generalized residual principle and generalized residual method for l-pseudo-solutions l-伪解的广义残差原理与广义残差法
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90183-S
B. Aliyev
{"title":"The generalized residual principle and generalized residual method for l-pseudo-solutions","authors":"B. Aliyev","doi":"10.1016/0041-5553(90)90183-S","DOIUrl":"10.1016/0041-5553(90)90183-S","url":null,"abstract":"<div><p>Regularizing algorithms to determine approximations to <em>L</em>-pseudo-solutions are proposed on the basis of a generalized residual principle and a generalized residual method, when the initial data are specified only approximately. It is shown that the algorithms are equivalent.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 3","pages":"Pages 1-7"},"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)90183-S","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91348529","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 finding the integral characteristics of attenuation factors for transfer equations 求传递方程衰减因子积分特性的方法
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90065-Z
D.S. Anikonov, I.Sh. Irkegulov
{"title":"A method of finding the integral characteristics of attenuation factors for transfer equations","authors":"D.S. Anikonov,&nbsp;I.Sh. Irkegulov","doi":"10.1016/0041-5553(90)90065-Z","DOIUrl":"https://doi.org/10.1016/0041-5553(90)90065-Z","url":null,"abstract":"<div><p>An algorithm for finding the integral characteristics (optical thicknesses) of attenuation factors for illuminated regions containing inner zones of various forms is constructed and numerically implemented.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 4","pages":"Pages 208-212"},"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)90065-Z","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91684365","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
Special features of difference schemes for solving the two-dimensional Navier-Stokes equations, connected with the formulation of the boundary conditions on the solid surface 与固体表面边界条件有关的二维Navier-Stokes方程的差分格式的特点
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90061-V
M.N. Zakharenkov
{"title":"Special features of difference schemes for solving the two-dimensional Navier-Stokes equations, connected with the formulation of the boundary conditions on the solid surface","authors":"M.N. Zakharenkov","doi":"10.1016/0041-5553(90)90061-V","DOIUrl":"10.1016/0041-5553(90)90061-V","url":null,"abstract":"<div><p>In the context of the numerical treatment of the two-dimensional Navier-Stokes equations, the boundary conditionsatasolid surface may be realized in different ways, some of which are examined. The approach considered here assumes that the equations of the system are solved separately. It is shown that then, irrespective of the specific formulation of the Navier-Stokes equations for an incompressible viscous liquid — in terms of velocity-pressure, velocity-vorticity or vorticity-stream function — the boundary conditions can be realized in an algorithmically universal way, based on a two-parameter formula previously proposed to approximate vorticity on a wall.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 4","pages":"Pages 182-190"},"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)90061-V","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80386970","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
Numerical canonical factorization algorithms and their application 数值正则分解算法及其应用
USSR Computational Mathematics and Mathematical Physics Pub Date : 1990-01-01 DOI: 10.1016/0041-5553(90)90070-9
R.P. Tarasov
{"title":"Numerical canonical factorization algorithms and their application","authors":"R.P. Tarasov","doi":"10.1016/0041-5553(90)90070-9","DOIUrl":"10.1016/0041-5553(90)90070-9","url":null,"abstract":"<div><p>A study is made of numerical algorithms for canonical factorization, of two types: a) polar decomposition of an arbitrary bounded operator in <em>H</em>-space, and b) factorization of an operator-valued function of the unilateral shift operator in the space <em>l</em><sub>2</sub>.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 2","pages":"Pages 1-12"},"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)90070-9","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79396440","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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