Godunov, S. K. (Sergeĭ Konstantinovich)
Overview
Works:  98 works in 364 publications in 7 languages and 2,621 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Adapter, Honoree, Other 
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( Book )
Most widely held works by
S. K Godunov
Theory of difference schemes, an introduction by
S. K Godunov(
Book
)
23 editions published in 1964 in 3 languages and held by 340 WorldCat member libraries worldwide
23 editions published in 1964 in 3 languages and held by 340 WorldCat member libraries worldwide
Modern aspects of linear algebra by
S. K Godunov(
Book
)
11 editions published in 1998 in English and Italian and held by 267 WorldCat member libraries worldwide
11 editions published in 1998 in English and Italian and held by 267 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 238 WorldCat member libraries worldwide
9 editions published in 1997 in English and held by 238 WorldCat member libraries worldwide
Difference schemes : an introduction to the underlying theory by
S. K Godunov(
Book
)
21 editions published in 1987 in English and Undetermined and held by 235 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
21 editions published in 1987 in English and Undetermined and held by 235 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
Guaranteed accuracy in numerical linear algebra by
S. K Godunov(
Book
)
15 editions published between 1988 and 2012 in English and Russian and held by 143 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
15 editions published between 1988 and 2012 in English and Russian and held by 143 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
)
11 editions published between 1998 and 2011 in English and Russian and held by 120 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
11 editions published between 1998 and 2011 in English and Russian and held by 120 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
)
14 editions published in 1973 in French and English and held by 113 WorldCat member libraries worldwide
14 editions published in 1973 in French and English and held by 113 WorldCat member libraries worldwide
Schémas aux différences introduction à la théorie by
S. K Godunov(
Book
)
9 editions published between 1973 and 1977 in French and Undetermined and held by 87 WorldCat member libraries worldwide
9 editions published between 1973 and 1977 in French and Undetermined and held by 87 WorldCat member libraries worldwide
Resolution numerique des problemes multidimensionnels de la dynamique des gaz by
S. K Godunov(
Book
)
13 editions published between 1976 and 1979 in 4 languages and held by 71 WorldCat member libraries worldwide
13 editions published between 1976 and 1979 in 4 languages and held by 71 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
)
7 editions published between 1986 and 1987 in English and held by 61 WorldCat member libraries worldwide
7 editions published between 1986 and 1987 in English and held by 61 WorldCat member libraries worldwide
Ecuaciones de la físicamatemática by
S. K Godunov(
Book
)
17 editions published between 1971 and 1994 in 3 languages and held by 59 WorldCat member libraries worldwide
17 editions published between 1971 and 1994 in 3 languages and held by 59 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
)
8 editions published between 1971 and 1979 in Russian and Polish and held by 33 WorldCat member libraries worldwide
8 editions published between 1971 and 1979 in Russian and Polish and held by 33 WorldCat member libraries worldwide
Vychislitelʹnye metody lineĭnoĭ algebry(
Book
)
5 editions published between 1985 and 1990 in Russian and held by 24 WorldCat member libraries worldwide
5 editions published between 1985 and 1990 in Russian and held by 24 WorldCat member libraries worldwide
Different︠s︡ialʹnye uravnenii︠a︡ s chastnymi proizvodnymi : sbornik nauchnykh trudov(
Book
)
12 editions published between 1987 and 1992 in Russian and held by 23 WorldCat member libraries worldwide
12 editions published between 1987 and 1992 in Russian and held by 23 WorldCat member libraries worldwide
Vvedenie v teorii︠u︡ raznostnykh skhem by
S. K Godunov(
Book
)
8 editions published between 1962 and 1980 in Russian and held by 22 WorldCat member libraries worldwide
8 editions published between 1962 and 1980 in Russian and held by 22 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 19 WorldCat member libraries worldwide
2 editions published in 1986 in Russian and held by 19 WorldCat member libraries worldwide
12 papers on analysis, applied mathematics, and algebraic topology by
E. A Barbashin(
Book
)
3 editions published in 1963 in English and held by 10 WorldCat member libraries worldwide
3 editions published in 1963 in English and held by 10 WorldCat member libraries worldwide
Sbornik zadach po uravnenii︠a︡m matematicheskoĭ fiziki by
S. K Godunov(
Book
)
4 editions published in 1974 in Russian and held by 10 WorldCat member libraries worldwide
4 editions published in 1974 in Russian and held by 10 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
 Miller, J. J. H. (John James Henry) 1937 Editor
 Novikov, V. A. (Vi︠a︡cheslav Aleksandrovich) Editor
 Antonov, A. G.
 Kostin, V. I.
 Kiriljuk, O. P.
 Sobolev, S. L. (Sergeĭ Lʹvovich) 19081989
Useful Links
Associated Subjects
Algebraic topology 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 Finite differences Gas dynamics Godunov, S. K.(Sergeĭ Konstantinovich) Materials Mathematical analysis 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
Sergei Godunov
Sergei Godunov Russian mathematician
Sergei K. Godunov matemático ruso
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
Sergej Konstantinovič Godunov
Годунов, Сергей Константинович
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