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6 results on '"S. K. Godunov"'

1. Modern Aspects of Linear Algebra

Author

S. K. Godunov and S. K. Godunov

Subjects
Algebras, Linear, Nonselfadjoint operators, Spectral theory (Mathematics)
Abstract

This book discusses fundamental ideas of linear algebra. The author presents the spectral theory of nonselfadjoint matrix operators and matrix pencils in a finite dimensional Euclidean space. Statements of computational problems and brief descriptions of numerical algorithms, some of them nontraditional, are given. Proved in detail are classical problems that are not usually found in standard university courses. In particular, the material shows the role of delicate estimates for the resolvent of an operator and underscores the need for the study and use of such estimates in numerical analysis.

Published
2018

2. Ordinary Differential Equations with Constant Coefficient

Author

S. K. Godunov and S. K. Godunov

Abstract

This book presents the theory of ordinary differential equations with constant coefficients. The exposition is based on ideas developing the Gelfand-Shilov theorem on the polynomial representation of a matrix exponential. Boundary value problems for ordinary equations, Green matrices, Green functions, the Lopatinskii condition, and Lyapunov stability are considered. This volume can be used for practical study of ordinary differential equations using computers. In particular, algorithms and computational procedures, including the orthogonal sweep method, are described. The book also deals with stationary optimal control systems described by systems of ordinary differential equations with constant coefficients. The notions of controllability, observability, and stabilizability are analyzed, and some questions on the matrix Luré-Riccati equations are studied.

Published
2018

3. Some Problems of Mathematics and Mechanics

Author

L. V. Ahlfors, S. N. Antoncev, P. P. Belinskiĭ, S. Bergman, A. V. Bicadze, A. A. Deribas, R. M. Garipov, F. W. Gehring, S. K. Godunov, N. H. Ibragimov, N. N. Janenko, V. M. Kuznecov, B. A. Lygovcos, G. I. Marčuk, D. E. Men′šov, G. S. Migirenko, V. N. Monahov, R. Nevalinna, L. V. Ovsjannikov, A. Pfluger, P. Ja. Polubarinova-Kočina, B. V. Šabat, E. N. Šer, J. Serrin, Ju. I. Šokin, I. N. Vekua, L. I. Volkovyskiĭ, H. Weinberger, L. V. Ahlfors, S. N. Antoncev, P. P. Belinskiĭ, S. Bergman, A. V. Bicadze, A. A. Deribas, R. M. Garipov, F. W. Gehring, S. K. Godunov, N. H. Ibragimov, N. N. Janenko, V. M. Kuznecov, B. A. Lygovcos, G. I. Marčuk, D. E. Men′šov, G. S. Migirenko, V. N. Monahov, R. Nevalinna, L. V. Ovsjannikov, A. Pfluger, P. Ja. Polubarinova-Kočina, B. V. Šabat, E. N. Šer, J. Serrin, Ju. I. Šokin, I. N. Vekua, L. I. Volkovyskiĭ, and H. Weinberger

Subjects
Mathematics, Mechanics--Addresses, essays, lectures
Published
2016

4. Partial Differential Equations

Author

R. A. Aleksandrjan, V. M. Babič, Ju. M. Berezanskiĭ, O. V. Besov, A. V. Bicadze, A. A. Dezin, S. K. Godunov, V. A. Il′in, V. P. Il′in, V. K. Ivanov, N. N. Janenko, I. A. Kiprijanov, M. I. Ključančev, V. I. Kondrašov, A. G. Kostjučenko, M. A. Krasnosel′skiĭ, L. D. Kudrjavcev, B. M. Levitan, M. M. Lavrent′ev, P. I. Lizorkin, V. N. Maslennikova, P. O. Mihaĭlov, S. G. Mihlin, A. D. Myškis, S. M. Nikol′skiĭ, V. V. Ogneva, O. A. Oleĭnik, G. P. Prokopov, A. A. Samarskiĭ, A. N. Tihonov, M. I. Višik, T. I. Zelenja, R. A. Aleksandrjan, V. M. Babič, Ju. M. Berezanskiĭ, O. V. Besov, A. V. Bicadze, A. A. Dezin, S. K. Godunov, V. A. Il′in, V. P. Il′in, V. K. Ivanov, N. N. Janenko, I. A. Kiprijanov, M. I. Ključančev, V. I. Kondrašov, A. G. Kostjučenko, M. A. Krasnosel′skiĭ, L. D. Kudrjavcev, B. M. Levitan, M. M. Lavrent′ev, P. I. Lizorkin, V. N. Maslennikova, P. O. Mihaĭlov, S. G. Mihlin, A. D. Myškis, S. M. Nikol′skiĭ, V. V. Ogneva, O. A. Oleĭnik, G. P. Prokopov, A. A. Samarskiĭ, A. N. Tihonov, M. I. Višik, and T. I. Zelenja

Subjects
Differential equations, Partial--Congresses
Published
2016

5. Nine Papers from the International Congress of Mathematicians 1986

Author

I. G. Bashmakova, G. V. Belyĭ, E. D. Gluskin, S. K. Godunov, A. A. Gonchar, A. M. Olevskiĭ, M. G. Peretyat′kin, A. A. Razborov, A. V. Skorokhod, I. G. Bashmakova, G. V. Belyĭ, E. D. Gluskin, S. K. Godunov, A. A. Gonchar, A. M. Olevskiĭ, M. G. Peretyat′kin, A. A. Razborov, and A. V. Skorokhod

Subjects
Mathematics--Congresses
Abstract

This volume contains nine papers presented as 45-minute or one-hour addresses at the International Congress of Mathematicians in Berkeley in 1986. In the original proceedings volume of ICM-86, published by the AMS in 1988, these papers appeared in the Russian. They have since been translated and collected in the present volume, to insure their broad dissemination. Among the topics represented here are stochastic processes, logic, number theory, functions of a complex variable, functional analysis, Fourier analysis, numerical analysis, and theoretical computer science.

Published
2016

6. Twelve Papers on Analysis, Applied Mathematics and Algebraic Topology

Author

E. A. Barbašin, V. A. Borovikov, S. K. Godunov, V. A. Jakubovič, A. S. Kovan′ko, O. A. Ladyženskaja, V. A. Marčenko, V. K. Mel′nikov, A. L. Oniščik, V. A. Pliss, E. A. Barbašin, V. A. Borovikov, S. K. Godunov, V. A. Jakubovič, A. S. Kovan′ko, O. A. Ladyženskaja, V. A. Marčenko, V. K. Mel′nikov, A. L. Oniščik, and V. A. Pliss

Published
2016

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