Godunov, S. K. (Sergeĭ Konstantinovich)
Overview
Works:  75 works in 352 publications in 6 languages and 2,479 library holdings 

Genres:  Textbooks Conference papers and proceedings Bibliography 
Roles:  Author, Editor, Other, Adapter, Honoree 
Classifications:  QA251, 512.897 
Publication Timeline
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Most widely held works about
S. K Godunov
 Sergei Konstantinovich Godunov : bibliograficheskii ukazatelʹ literatury by M. P Kisarova( Book )
Most widely held works by
S. K Godunov
Theory of difference schemes, an introduction by
S. K Godunov(
Book
)
55 editions published between 1962 and 1987 in 5 languages and held by 595 WorldCat member libraries worldwide
Much applied and theoretical research in natural sciences leads to boundaryvalue problems stated in terms of differential equations. When solving these problems with computers, the differential problems are replaced approximately by difference schemes. This book is an introduction to the theory of difference schemes, and was written as a textbook for university mathematics and physics departments and for technical universities. Some sections of the book will be of interest to computations specialists. While stressing a mathematically rigorous treatment of model problems, the book also demonstrates the relation between theory and computer experiments, using difference schemes created for practical computations
55 editions published between 1962 and 1987 in 5 languages and held by 595 WorldCat member libraries worldwide
Much applied and theoretical research in natural sciences leads to boundaryvalue problems stated in terms of differential equations. When solving these problems with computers, the differential problems are replaced approximately by difference schemes. This book is an introduction to the theory of difference schemes, and was written as a textbook for university mathematics and physics departments and for technical universities. Some sections of the book will be of interest to computations specialists. While stressing a mathematically rigorous treatment of model problems, the book also demonstrates the relation between theory and computer experiments, using difference schemes created for practical computations
Modern aspects of linear algebra by
S. K Godunov(
Book
)
16 editions published between 1996 and 1998 in 4 languages and held by 278 WorldCat member libraries worldwide
16 editions published between 1996 and 1998 in 4 languages and held by 278 WorldCat member libraries worldwide
Ordinary differential equations with constant coefficient by
S. K Godunov(
Book
)
9 editions published in 1997 in English and held by 241 WorldCat member libraries worldwide
9 editions published in 1997 in English and held by 241 WorldCat member libraries worldwide
Guaranteed accuracy in numerical linear algebra by
S. K Godunov(
Book
)
19 editions published between 1988 and 1993 in 3 languages and held by 146 WorldCat member libraries worldwide
This volume deals with the theory of algorithms for solving systems of linear algebraic equations having a nonfullrank matrix of coefficients. This involves a range of interesting problems, such as the bidiagonalization of matrices, the computation of singular values and eigenvalues, procedures for the deflation of singular values, etc. The algorithms which are discussed in this book lead to computer programs, which guarantee the accuracy of the computations, leading to unambiguous solutions. Some of the algorithms and techniques described are new; for example, the bounds which include underflow effects. Also discussed is a new approach for computing reliable eigenvectors from Sturm sequences of a symmetric tridiagonal matrix, and a procedure for characterizing unitary transformations which maintain Hessenberg form. For researchers whose work involves numerical methods of linear algebra
19 editions published between 1988 and 1993 in 3 languages and held by 146 WorldCat member libraries worldwide
This volume deals with the theory of algorithms for solving systems of linear algebraic equations having a nonfullrank matrix of coefficients. This involves a range of interesting problems, such as the bidiagonalization of matrices, the computation of singular values and eigenvalues, procedures for the deflation of singular values, etc. The algorithms which are discussed in this book lead to computer programs, which guarantee the accuracy of the computations, leading to unambiguous solutions. Some of the algorithms and techniques described are new; for example, the bounds which include underflow effects. Also discussed is a new approach for computing reliable eigenvectors from Sturm sequences of a symmetric tridiagonal matrix, and a procedure for characterizing unitary transformations which maintain Hessenberg form. For researchers whose work involves numerical methods of linear algebra
Elements of continuum mechanics and conservation laws by
S. K Godunov(
Book
)
6 editions published between 2003 and 2011 in English and held by 112 WorldCat member libraries worldwide
Elements of Continuum Mechanics and Conservation Laws presents a systematization of different models in mathematical physics, a study of the structure of conservation laws, thermodynamical identities, and connection with criteria for wellposedness of the corresponding mathematical problems. The theory presented in this book stems from research carried out by the authors concerning the formulations of differential equations describing explosive deformations of metals. In such processes, elasticity equations are used in some zones, whereas hydrodynamics equations are stated in other zones. Plastic deformations appear in transition zones, which leads to residual stresses. The suggested model contains some relaxation terms which simulate these plastic deformations. Certain laws of thermodynamics are used in order to describe and study differential equations simulating the physical processes. This leads to the special formulation of differential equations using generalized thermodynamical potentials
6 editions published between 2003 and 2011 in English and held by 112 WorldCat member libraries worldwide
Elements of Continuum Mechanics and Conservation Laws presents a systematization of different models in mathematical physics, a study of the structure of conservation laws, thermodynamical identities, and connection with criteria for wellposedness of the corresponding mathematical problems. The theory presented in this book stems from research carried out by the authors concerning the formulations of differential equations describing explosive deformations of metals. In such processes, elasticity equations are used in some zones, whereas hydrodynamics equations are stated in other zones. Plastic deformations appear in transition zones, which leads to residual stresses. The suggested model contains some relaxation terms which simulate these plastic deformations. Certain laws of thermodynamics are used in order to describe and study differential equations simulating the physical processes. This leads to the special formulation of differential equations using generalized thermodynamical potentials
Equations de la physique mathematique by
S. K Godunov(
Book
)
9 editions published in 1973 in French and English and held by 106 WorldCat member libraries worldwide
9 editions published in 1973 in French and English and held by 106 WorldCat member libraries worldwide
Schémas aux différences introduction à la théorie by
S. K Godunov(
Book
)
6 editions published in 1977 in French and Undetermined and held by 80 WorldCat member libraries worldwide
6 editions published in 1977 in French and Undetermined and held by 80 WorldCat member libraries worldwide
Resolution numerique des problemes multidimensionnels de la dynamique des gaz by
S Godounov(
Book
)
12 editions published between 1976 and 1979 in 4 languages and held by 77 WorldCat member libraries worldwide
12 editions published between 1976 and 1979 in 4 languages and held by 77 WorldCat member libraries worldwide
BAIL IV : proceedings of the Fourth International Conference on Boundary and Interior Layers, Computational and Asymptotic
Methods, 711 July, 1986, Novosibirsk, USSR by
S. K Godunov(
Book
)
6 editions published between 1986 and 1987 in English and held by 58 WorldCat member libraries worldwide
6 editions published between 1986 and 1987 in English and held by 58 WorldCat member libraries worldwide
Vychislitelʹnye problemy v zadachakh matematicheskoĭ fiziki(
Book
)
5 editions published between 1988 and 1992 in Russian and held by 36 WorldCat member libraries worldwide
5 editions published between 1988 and 1992 in Russian and held by 36 WorldCat member libraries worldwide
Raznostnye skhemy : vvedenie v teorii︠u︡ by
S. K Godunov(
Book
)
10 editions published between 1973 and 1977 in Russian and held by 35 WorldCat member libraries worldwide
10 editions published between 1973 and 1977 in Russian and held by 35 WorldCat member libraries worldwide
Uravnenii︠a︡ matematicheskoĭ fiziki by
S. K Godunov(
Book
)
7 editions published between 1971 and 1979 in Russian and Polish and held by 32 WorldCat member libraries worldwide
7 editions published between 1971 and 1979 in Russian and Polish and held by 32 WorldCat member libraries worldwide
Computational methods of linear algebra by
D. K Faddeev(
Book
)
5 editions published between 1985 and 1990 in Russian and held by 23 WorldCat member libraries worldwide
This exciting new text covers methods for the solution of linear systems (direct and iterative), linear least squares problems, eigenvalue problems, linear programming problems, and Fourier Transforms, and it includes a new chapter on linear algebra with supercomputers
5 editions published between 1985 and 1990 in Russian and held by 23 WorldCat member libraries worldwide
This exciting new text covers methods for the solution of linear systems (direct and iterative), linear least squares problems, eigenvalue problems, linear programming problems, and Fourier Transforms, and it includes a new chapter on linear algebra with supercomputers
Integraly ėnergii i ikh prilozhenii︠a︡ k zadacham gazovoĭ dinamiki by
A. M Blokhin(
Book
)
4 editions published in 1986 in Russian and held by 17 WorldCat member libraries worldwide
4 editions published in 1986 in Russian and held by 17 WorldCat member libraries worldwide
Ėlementry mekhaniki sploshnoĭ sredy by
S. K Godunov(
Book
)
4 editions published in 1978 in Russian and held by 16 WorldCat member libraries worldwide
4 editions published in 1978 in Russian and held by 16 WorldCat member libraries worldwide
Nekotorye prilozhenii︠a︡ funkt︠s︡ionalʹnogo analiza k zadacham matematicheskoĭ fiziki : sbornik nauchnykh trudov(
Book
)
7 editions published between 1988 and 1990 in Russian and held by 15 WorldCat member libraries worldwide
7 editions published between 1988 and 1990 in Russian and held by 15 WorldCat member libraries worldwide
Funkt︠s︡ionalʹnyĭ analiz i matematicheskai︠a︡ fizika : sbornik nauchnykh trudov by
S. K Godunov(
Book
)
5 editions published between 1985 and 1987 in Russian and held by 15 WorldCat member libraries worldwide
5 editions published between 1985 and 1987 in Russian and held by 15 WorldCat member libraries worldwide
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Related Identities
 Ri︠a︡benʹkiĭ, V. S. (Viktor Solomonovich)
 Institut matematiki (Akademii︠a︡ nauk SSSR. Sibirskoe otdelenie)
 Romenskii, Evgenii I.
 Pétrova, Irina
 Novikov, V. A. (Vi︠a︡cheslav Aleksandrovich) Editor
 Sobolev, S. L. (Sergeĭ Lʹvovich) 19081989
 Miller, J. J. H. (John James Henry) 1937 Editor
 Kostin, V. I.
 Antonov, A. G.
 Kiriljuk, O. P.
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Associated Subjects
Algebra, Universal Algebras, Linear Algebras, LinearData processing Algorithms Boundary layer Boundary layerMathematical models Boundary layerSimulation methods Boundary value problems Boundary value problemsAsymptotic theory Computer science Conservation laws (Mathematics) Conservation laws (Physics) Continuum mechanics Difference equations Difference equationsNumerical solutions Differential equations Differential equations, Linear Differential equations, LinearNumerical solutions Differential equations, Partial Differential equations, PartialNumerical solutions Differential equationsNumerical solutions Electronic data processing Engineering mathematics EquationsNumerical solutionsData processing Finite differences Functional analysis Gas dynamics Godunov, S. K.(Sergeĭ Konstantinovich) Iterative methods (Mathematics) Materials Mathematical physics Mathematicians Mathematics Matrices Mechanics Multivariate analysis Nonselfadjoint operators Numerical calculations Soviet Union Spectral theory (Mathematics) Vector analysis
Alternative Names
Godounov, S.
Godounov, Sergeǐ Konstantinovitch
Godunov, S. K.
Godunov, S. K. 1929
Godunov, Sergeĭ Konstantinovich
Godunov, Sergej Konstantinovič 1929
Godunow, S. K.
Godunow, Sergeǐ Konstantinovitch
Sergei Godunov
Sergei Godunov Russian mathematician
Sergei K. Godunov mathématicien russe
Sergei K. Godunov Russian mathematician
Sergei K. Godunov Russisch wiskundige
Sergei Konstantinowitsch Godunow russischer Mathematiker
Sergej Godunov russisk matematikar
Sergej Godunov russisk matematiker
Годунов, Сергей Константинович
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