Godunov, S. K. (Sergeĭ Konstantinovich)
Overview
Works:  95 works in 240 publications in 5 languages and 2,110 library holdings 

Genres:  Conference proceedings 
Roles:  Author, Editor, Adapter 
Classifications:  QA431, 512.5 
Publication Timeline
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Most widely held works about
S. K Godunov
 Sergei Konstantinovich Godunov : bibliograficheskii ukazatelʹ literatury by M. P Kisarova M. P Kisarova( Book )
Most widely held works by
S. K Godunov
Difference schemes : an introduction to the underlying theory
by
S. K Godunov(
Book
)
16 editions published in 1987 in English and held by 380 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
16 editions published in 1987 in English and held by 380 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
Theory of difference schemes, an introduction
by
S. K Godunov(
Book
)
9 editions published in 1964 in English and Undetermined and held by 286 WorldCat member libraries worldwide
9 editions published in 1964 in English and Undetermined and held by 286 WorldCat member libraries worldwide
Modern aspects of linear algebra
by
S. K Godunov(
Book
)
7 editions published between 1997 and 1998 in English and Russian and held by 260 WorldCat member libraries worldwide
7 editions published between 1997 and 1998 in English and Russian and held by 260 WorldCat member libraries worldwide
Ordinary differential equations with constant coefficient
by
S. K Godunov(
Book
)
3 editions published in 1997 in English and held by 222 WorldCat member libraries worldwide
3 editions published in 1997 in English and held by 222 WorldCat member libraries worldwide
Guaranteed accuracy in numerical linear algebra
by
S. K Godunov(
Book
)
8 editions published between 1988 and 1993 in Russian and English and held by 135 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
8 editions published between 1988 and 1993 in Russian and English and held by 135 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
)
3 editions published between 2003 and 2011 in English and held by 109 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
3 editions published between 2003 and 2011 in English and held by 109 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
)
20 editions published between 1971 and 1994 in 4 languages and held by 73 WorldCat member libraries worldwide
20 editions published between 1971 and 1994 in 4 languages and held by 73 WorldCat member libraries worldwide
Schémas aux différences introduction à la théorie
by
S. K Godunov(
Book
)
3 editions published in 1977 in French and Undetermined and held by 70 WorldCat member libraries worldwide
3 editions published in 1977 in French and Undetermined and held by 70 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 International Conference on Boundary and Interior Layers Computational and Asymptotic Methods(
Book
)
3 editions published between 1986 and 1987 in English and held by 55 WorldCat member libraries worldwide
3 editions published between 1986 and 1987 in English and held by 55 WorldCat member libraries worldwide
Resolution numerique des problemes multidimensionnels de la dynamique des gaz
by Sergueï Godounov(
Book
)
5 editions published between 1976 and 1979 in 3 languages and held by 35 WorldCat member libraries worldwide
5 editions published between 1976 and 1979 in 3 languages and held by 35 WorldCat member libraries worldwide
Vychislitelʹnye metody lineĭnoĭ algebry
(
Book
)
5 editions published between 1985 and 1990 in Russian and held by 27 WorldCat member libraries worldwide
5 editions published between 1985 and 1990 in Russian and held by 27 WorldCat member libraries worldwide
Uravnenii︠a︡ matematicheskoĭ fiziki
by
S. K Godunov(
Book
)
4 editions published between 1971 and 1979 in Russian and held by 26 WorldCat member libraries worldwide
4 editions published between 1971 and 1979 in Russian and held by 26 WorldCat member libraries worldwide
Different︠s︡ialʹnye uravnenii︠a︡ s chastnymi proizvodnymi : sbornik nauchnykh trudov
(
Book
)
11 editions published between 1987 and 1992 in Russian and held by 25 WorldCat member libraries worldwide
11 editions published between 1987 and 1992 in Russian and held by 25 WorldCat member libraries worldwide
Raznostnye skhemy : vvedenie v teorii︠u︡
by
S. K Godunov(
Book
)
4 editions published between 1973 and 1977 in Russian and held by 24 WorldCat member libraries worldwide
4 editions published between 1973 and 1977 in Russian and held by 24 WorldCat member libraries worldwide
Vychislitelʹnye problemy v zadachakh matematicheskoĭ fiziki
(
Book
)
4 editions published between 1988 and 1990 in Russian and held by 24 WorldCat member libraries worldwide
4 editions published between 1988 and 1990 in Russian and held by 24 WorldCat member libraries worldwide
Different︠s︡ialʹnye uravnenii︠a︡ s chastnymi proizvodnymi : trudy mezhdunarodnoĭ konferent︠s︡ii po different︠s︡ialʹnym uravnenii︠a︡m s chastnymi proizvodnymi
by Mezhdunarodnai︠a︡ konferent︠s︡ii︠a︡ po different︠s︡ialʹnym uravnenii︠a︡m s chastnymi proizvodnymi(
Book
)
2 editions published in 1986 in Russian and held by 21 WorldCat member libraries worldwide
2 editions published in 1986 in Russian and held by 21 WorldCat member libraries worldwide
Different︠s︡ialʹnye uravnenii︠a︡ s chastnymi proizvodnymi : trudy Konferent︠s︡ii po different︠s︡ialʹnym uravenii︠a︡m i vychislitelʹnoĭ matematike
by Konferent︠s︡ii︠a︡ po different︠s︡ialʹnym uravnenii︠a︡m i vychislitelʹnoĭ matematike(
Book
)
2 editions published in 1980 in Russian and held by 20 WorldCat member libraries worldwide
2 editions published in 1980 in Russian and held by 20 WorldCat member libraries worldwide
Vvedenie v teorii︠u︡ raznostnykh skhem
by
S. K Godunov(
Book
)
4 editions published between 1962 and 1980 in Russian and held by 18 WorldCat member libraries worldwide
4 editions published between 1962 and 1980 in Russian and held by 18 WorldCat member libraries worldwide
Integraly ėnergii i ikh prilozhenii︠a︡ k zadacham gazovoĭ dinamiki
by
A. M Blokhin(
Book
)
2 editions published in 1986 in Russian and held by 17 WorldCat member libraries worldwide
2 editions published in 1986 in Russian and held by 17 WorldCat member libraries worldwide
Funkt︠s︡ionalʹnyĭ analiz i matematicheskai︠a︡ fizika : sbornik nauchnykh trudov
(
Book
)
4 editions published between 1985 and 1987 in Russian and held by 15 WorldCat member libraries worldwide
4 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.
 Novikov, V. A. (Vi︠a︡cheslav Aleksandrovich)
 Miller, J. J. H. (John James Henry) 1937
 Pétrova, Irina
 Sobolev, S. L. (Sergeĭ Lʹvovich) 19081989
 Rjaben'kij, Viktor Solomonovič
 Blokhin, A. M. (Aleksandr Mikhaĭlovich) Author
 Reshetni︠a︡k, I︠U︡riĭ Grigorʹevich Editor
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Associated Subjects
Algebras, Linear 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 Differential equations Differential equations, Linear Differential equations, LinearNumerical solutions Differential equations, Partial Differential equationsNumerical solutions Electronic data processing Engineering mathematics Functional analysis Gas dynamics Materials Mathematical physics Mathematicians Mathematics Mechanics Multivariate analysis Nonselfadjoint operators 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
Годунов, Сергей Константинович
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