×

zbMATH — the first resource for mathematics

Godunov, Sergeĭ Konstantinovich

Compute Distance To:
Author ID: godunov.sergei-konstantinovich Recent zbMATH articles by "Godunov, Sergeĭ Konstantinovich"
Published as: Godounov, S.; Godounov, S. K.; Godunov, S.; Godunov, S. K.; Godunov, Sergei K.; Godunov, Sergei Konstantinovich; Gudonov, S. K.
External Links: MGP · Math-Net.Ru · Wikidata · GND
Documents Indexed: 192 Publications since 1948, including 47 Books
Biographic References: 9 Publications
all top 5

Co-Authors

83 single-authored
16 Prokopov, G. P.
8 Borovkov, Aleksandr Alekseevich
7 Bulgakov, Aider Ya.
7 Kostin, Victor I.
7 Lavrent’ev, Mikhail Mikhaĭlovich
7 Ryaben’kiĭ, Viktor Solomonovich
6 Goncharov, Sergeĭ Savost’yanovich
6 Gordienko, Valeriĭ M.
6 Sadkane, Miloud
5 Beresnev, V. L.
5 Reshetnyak, Yuriĭ Grigor’evich
4 Ershov, Yuriĭ Leonidovich
4 Gordienko, Valeri M.
4 Kirilyuk, O. P.
4 Sultangazin, Umirzak M.
3 Adamskaya, I. A.
3 Antonov, A. G.
3 Kireeva, I. L.
3 Kutateladze, Semën Samsonovich
3 Kuznetsov, Sergey V.
3 Nechepurenko, Yuri M.
3 Peshkov, Ilya M.
3 Romenskii, Evgenii I.
3 Romenskij, E. I.
3 Zabrodin, Anton V.
3 Zhukov, V. T.
2 Belinskii, P. P.
2 Carpraux, J.-F.
2 Chumakov, Gennadii A.
2 Feodoritova, O. B.
2 Fortova, S. V.
2 Ivanov, Yu. B.
2 Klyuchinskii, D. V.
2 Kulikov, Igor M.
2 Mazurov, Viktor Danilovich
2 Mitchenko, A. D.
2 Ogneva, V. V.
2 Romanov, Vladimir Gavrilovich
2 Shepelev, V. V.
2 Yanenko, I. K.
1 Afendikov, Andrei L.
1 Alalykin, G. B.
1 Anuchina, N. N.
1 Aptekarev, Alexander Ivanovich
1 Babenko, Konstantin Ivanovich
1 Babij, D. P.
1 Bagrinovskii, K. A.
1 Bashmakova, Isabella G.
1 Belyi, Gennadii Vladimirovich
1 Borisov, Igor S.
1 Bukhshtaber, Viktor Matveevich
1 Chetverushkin, Boris Nikolaevich
1 Denisenko, Valeriĭ Vasil’evich
1 Dmitriev, Nicolai A.
1 Dmitrieva, L. A.
1 D’yachenko, Vladimir Fedotovich
1 Epshteyn, Ye. Yu.
1 Faddeev, Lyudvig Dmitrievich
1 Fedorenko, R. P.
1 Fryazinova, I. L.
1 Gluskin, Efim D.
1 Gonchar, Andreĭ Aleksandrovich
1 Ivanov, M. Ya.
1 Kholodov, Aleksandr Sergeevich
1 Kiselev, Sergey P.
1 Konovalov, Anatoly Nikolaevich
1 Kozin, N. S.
1 Kozlov, Valeriĭ Vasil’evich
1 Krajko, Aleksandr Nikolaevich
1 Lavrov, Igor Andreevich
1 Lazarev, M. I.
1 Lokutsievskij, O. V.
1 Maksimova, Larisa L’vovna
1 Mali, V. I.
1 Malinovskij, E. V.
1 Mal’tsev, Arkadiĭ Anatol’evich
1 Malyshev, Alexander N.
1 Manuzina, Yu. D.
1 Maslov, A. I.
1 Mikhailova, T. Yu.
1 Mikhajlenko, B. G.
1 Mikhajlova, T. Yu.
1 Miller, John James Henry
1 Morozov, Andreĭ Sergeevich
1 Nazar’eva, M. A.
1 Nikitin, Alexandr A.
1 Novikov, V. A.
1 Olevskii, Alexander Moiseevich
1 Palyutin, Evgeniĭ Andreevich
1 Peretyat’kin, Mikhail G.
1 Platonov, Vladimir Petrovich
1 Pliner, L. A.
1 Podlivaev, I. F.
1 Pritvich, N. A.
1 Razborov, Aleksandr Aleksandrovich
1 Robbé, Mickaël
1 Selivanova, Svetlana V.
1 Semendyaev, Konstantin Adol’fovich
1 Skorokhod, Anatoliĭ Volodymyrovych
1 Sobolev, Sergeĭ L’vovich
...and 11 more Co-Authors

Publications by Year

Citations contained in zbMATH Open

108 Publications have been cited 1,654 times in 1,395 Documents Cited by Year
A difference method for numerical calculation of discontinuous solutions of the equations of hydrodynamics. Zbl 0171.46204
Godunov, S. K.
726
1959
An interesting class of quasilinear systems. Zbl 0125.06002
Godunov, S. K.
107
1961
Elements of continuum mechanics and conservation laws. Translation from the 1998 Russian original. Zbl 1031.74004
Godunov, Sergei K.; Romenskii, Evgenii I.
58
2003
Clebsch-Gordan coefficients and special functions for the solution of invariant equations. Textbook. (Koehffitsienty Klebsha-Gordana i spetsial’nye funktsii dlya resheniya invariantnykh uravnenij. Uchebnoe posobie.). Zbl 0447.22011
Godunov, S. K.
53
1979
Résolution numérique des problèmes multidimensionnels de la dynamique des gaz. Sous la redaction de S. Godounov. Traduit du russe par Valeri Platonov. Zbl 0421.65056
Godounov, S. K.; Zabrodine, A.; Ivanov, M. Ya.; Krajko, A.; Prokopov, G. P.
31
1979
Modern aspects of linear algebra. Transl. from the Russian by Tamara Rozhkovskaya. Zbl 0899.15004
Godunov, S. K.
29
1998
Theory of difference schemes. An introduction. Translated by E.Godfredsen. Zbl 0116.33102
Godunov, S. K.; Ryabenki, V. S.
29
1964
A computational scheme for two-dimensional nonstationary problems of gas dynamics and calculation of the flow from a shock wave approaching a stationary state. Zbl 0146.23004
Godunov, S. K.; Zabrodin, A. V.; Prokopov, G. P.
27
1961
Thermodynamics, conservation laws, and symmetric forms of differential equations in mechanics of continuous media. Zbl 0875.73025
Godunov, S. K.; Romensky, E. I.
26
1995
Reminiscences about difference schemes. Zbl 0936.65106
Godunov, Sergei Konstantinovich
23
1999
Difference schemes for multidimensional problems. Zbl 0087.12201
Bagrinovskij, K. A.; Godunov, S. K.
23
1957
Use of the energy integral to estimate the accuracy of approximate eigenvalues. Zbl 0232.65079
Godunov, S. K.
21
1971
Hyperbolic equations of the nonlinear theory of elasticity. Zbl 0498.35054
Godunov, S. K.
20
1978
The use of moving meshes in gas-dynamical computations. Zbl 0271.76057
Godunov, S. K.; Prokopov, G. P.
19
1973
The problem of a generalized solution in the theory of quasi-linear equations and in gas dynamics. Zbl 0107.20003
Godunov, S. K.
19
1962
On discrete models of the kinetic Boltzmann equation. Zbl 0228.35074
Godunov, S. K.; Sultangazin, U. M.
17
1972
Ordinary differential equations with constant coefficients. Vol. 1. Boundary value problems. Zbl 0912.34018
Godunov, S. K.
16
1994
Über diskrete Modelle der kinetischen Boltzmann-Gleichung. Zbl 0219.35071
Godunov, S. K.; Sultangazin, U. M.
16
1971
Modern aspects of linear algebra. Zbl 0960.15001
Godunov, S. K.
15
1997
Difference schemes. An introduction to the underlying theory. Transl. from the Russian by E. M. Gelbard. Zbl 0614.65096
Godunov, S. K.; Ryaben’kij, V. S.
15
1987
Thermodynamically consistent nonlinear model of elastoplastic Maxwell medium. Zbl 1224.74017
Godunov, S. K.; Peshkov, I. M.
14
2010
Ordinary differential equations with constant coefficient. Transl. from the Russian by Tamara Rozhkovskaya. Zbl 0884.34001
Godunov, S. K.
14
1997
Guaranteed accuracy in numerical linear algebra. Updated and rev. transl. of the original work ’The guaranteed precision of linear equations solutions in Euclidean spaces’, publ. by Nauka 1992. Zbl 0793.65014
Godunov, S. K.; Antonov, A. G.; Kirilyuk, O. P.; Kostin, V. I.
14
1993
Error estimates for the approximate solutions of the simplest equations in gas dynamics. Zbl 0129.19701
Godunov, S. K.
13
1961
On nonunique ’Blurring’ of discontinuities in solutions of quasilinear systems. Zbl 0117.06401
Godunov, S. K.
12
1961
Problem of the dichotomy of the spectrum of a matrix. Zbl 0655.34020
Godunov, S. K.
11
1986
On the computation of conformal transformations and the construction of difference meshes. Zbl 0202.16202
Godunov, S. K.; Prokopov, G. P.
11
1967
Systems of thermodynamically coordinated laws of conservation invariant under rotations. Zbl 0891.73003
Godunov, S. K.; Mikhailova, T. Yu.; Romenskij, E. I.
10
1996
A problem on the dichotomy of matrix spectrum. Zbl 0637.34018
Godunov, S. K.
10
1986
Über die Verwendung beweglicher Netze in gasdynamischen Berechnungen. Zbl 0265.76071
Godunov, S. K.; Prokopov, G. P.
10
1972
Some new algorithms for the spectral dichotomy methods. Zbl 1035.65032
Godunov, S. K.; Sadkane, M.
9
2003
Guaranteed precision in the solution of systems of linear equations in Euclidean spaces. 2nd ed., rev. and compl. Zbl 0825.65001
Godunov, S. K.; Antonov, A. G.; Kirilyuk, O. P.; Kostin, V. I.
9
1992
Computation of discontinuous solutions of fluid dynamics equations with entropy nondecrease guarantee. Zbl 1313.35238
Godunov, S. K.; Kulikov, I. M.
8
2014
Circular dichotomy of the matrix spectrum. Zbl 0674.65016
Bulgakov, A. Ya.; Godunov, S. K.
8
1988
On the convergence of the modified method of steepest descent in the calculation of eigenvalues. Zbl 0364.65078
Godunov, S. K.; Ogneva, V. V.; Prokopov, G. P.
8
1976
Symmetric hyperbolic equations in nonlinear elasticity theory. Zbl 1164.74360
Godunov, S. K.; Peshkov, I. M.
7
2008
On the difference approximations of overdetermined hyperbolic equations of classical mathematical physics. Zbl 1210.35168
Babij, D. P.; Godunov, S. K.; Zhukov, V. T.; Feodoritova, O. B.
7
2007
A mixed problem for the wave equation. Zbl 0425.35068
Godunov, S. K.; Gordienko, V. M.
7
1977
Über die numerische Lösung von Randwertaufgaben für Systeme von linearen gewöhnlichen Differentialgleichungen. Zbl 0107.11001
Godunov, S. K.
7
1961
Spectral analysis of symplectic matrices with application to the theory of parametric resonance. Zbl 1124.65040
Godunov, S. K.; Sadkane, M.
6
2006
Bounds for the convergence rate of Newton’s method for calculating invariant subspaces. Zbl 1060.65043
Godunov, S. K.; Nechepurenko, Yu. M.
6
2002
Numerical determination of a canonical form of a symplectic matrix. Zbl 1071.65049
Godunov, S. K.; Sadkane, Miloud
6
2001
A method of minimal iterations for evaluating the eigenvalues of an elliptic operator. Zbl 0258.65107
Godunov, S. K.; Prokopov, G. P.
6
1972
Numerical and experimental simulation of wave formation during explosion welding. Zbl 1293.82021
Godunov, S. K.; Kiselev, S. P.; Kulikov, I. M.; Mali, V. I.
5
2013
The Clebsch-Gordan coefficients with respect to various bases for unitary and orthogonal representations of \(\text{SU}(2)\) and \(\text{SO}(3)\). Zbl 1048.22003
Godunov, S. K.; Gordienko, V. M.
5
2004
Computation of pseudospectra via spectral projectors. Zbl 0935.65035
Godunov, S. K.; Sadkane, M.
5
1998
Elements of continuum mechanics and conservation laws. Zbl 1053.74001
Godunov, S. K.; Romenskij, E. I.
5
1998
Condition number of the Krylov bases and subspaces. Zbl 0861.65042
Carpraux, J.-F.; Godunov, S. K.; Kuznetsov, S. V.
5
1996
Spectral portraits of matrices and criteria of spectrum dichotomy. Zbl 0838.65035
Godunov, S. K.
5
1992
Circular dichotomy of the matrix spectrum. (Dedicated to Sergej L’vovich Sobolev). Zbl 0662.65031
Bulgakov, A. Ya.; Godunov, S. K.
5
1988
Guaranteed precision in the solution of systems of linear equations in Euclidean spaces. Ed. by V. A. Bulavskij. Zbl 0665.65022
Godunov, S. K.; Antonov, A. G.; Kirilyuk, O. P.; Kostin, V. I.
5
1988
Solution of systems of linear equations. (Reshenie sistem linejnykh uravnenij). Zbl 0442.15001
Godunov, S. K.
5
1980
On the concept of generalized solution. Zbl 0104.31901
Godunov, S. K.
5
1960
Quasi-isometric parametrization of a curvilinear quadrangle and a metric of constant curvature. Zbl 0861.53011
Godunov, S. K.; Gordienko, V. M.; Chumakov, G. A.
4
1994
Computation of an eigenvector of a symmetric tridiagonal matrix. Zbl 0595.65036
Godunov, S. K.; Kostin, V. I.; Mitchenko, A. D.
4
1985
The use of a class of quasiconformal mappings to construct difference nets in domains with curvilinear boundaries. Zbl 0366.65039
Belinskij, P. P.; Godunov, S. K.; Ivanov, Yu. B.; Yanenko, I. K.
4
1977
Some self-modelling motions of an ideal gas. Zbl 0197.24402
Godunov, S. K.; Kireeva, I. L.
4
1968
Spectral stability criteria for boundary value problems for nonself- adjoint difference equations. Zbl 0135.29301
Godunov, S. K.; Ryaben’kij, V. S.
4
1963
Experimental analysis of convergence of the numerical solution to a generalized solution in fluid dynamics. Zbl 1224.35343
Godunov, S. K.; Manuzina, Yu. D.; Nazar’eva, M. A.
3
2011
Elliptic dichotomy of a matrix spectrum. Zbl 0865.65018
Godunov, S. K.; Sadkane, M.
3
1996
Norms of solutions to the Lur’e-Riccati matrix equations as criteria of the quality of stabilizability and detectability. Zbl 0855.93067
Godunov, S. K.
3
1992
Lois de conservation et intégrales d’énergie des équations hyperboliques. (Conservation laws and energy integrals of hyperbolic equations). Zbl 0636.35051
Godounov, S. K.
3
1987
Reduction of a hyperbolic equation to a symmetric hyperbolic system in case of two spatial variables. Zbl 0455.35081
Godunov, S. K.; Kostin, V. I.
3
1980
Theoretical principles and construction of numerical algorithms of mathematical physics. (Teoreticheskie osnovy i konstruirovanie chislennykh algoritmov zadach matematicheskoj fiziki). Zbl 0464.65082
Anuchina, N. N.; Babenko, K. I.; Godunov, S. K.; Dmitriev, N. A.; Dmitrieva, L. A.; D’yachenko, V. F.; Zabrodin, A. V.; Lokutsievskij, O. V.; Malinovskij, E. V.; Podlivaev, I. F.; Prokopov, G. P.; Sofronov, I. D.; Fedorenko, R. P.
3
1979
Equations de la physique mathématique. Traduit du russe par Edouard Gloukhian. Zbl 0279.35001
Godounov, S.
3
1973
A method of orthogonal successive substitution for the solution of systems of difference equations. Zbl 0142.11704
Godunov, S. K.
3
1962
Thermodynamic formalization of the fluid dynamics equations for a charged dielectric in an electromagnetic field. Zbl 1274.35285
Godunov, S. K.
2
2012
The simplest Galilean-invariant and thermodynamically consistent conservation laws. Zbl 0989.35016
Godunov, S. K.; Gordienko, V. M.
2
2002
Reminiscences of difference schemes. A report from the International symposium “The Godunov type method in gas dynamics”, Michigan University (US), May 1997. Zbl 0878.76049
Godunov, S. K.
2
1997
Thermodynamical foundations for special evolution differential equations of continuous media. Zbl 0863.73008
Godunov, S. K.; Romensky, E. I.
2
1995
Verification of boundedness for the powers of symplectic matrices with the help of averaging. Zbl 0834.65032
Godunov, S. K.
2
1992
Computation of the eigenvector of a symmetric tridiagonal matrix. Zbl 0581.65026
Godunov, S. K.; Kostin, V. I.; Mitchenko, A. D.
2
1985
The Green matrix of a boundary value problem for ordinary differential equations. Zbl 0548.34032
Godunov, S. K.; Gordienko, V. M.
2
1984
Reduction of a hyperbolic equation to a symmetric hyperbolic system in the case of two space variables. Zbl 0461.35057
Godunov, S. K.; Kostin, V. I.
2
1981
Equations of mathematical physics. (Ecuaciones de la fisica matematica.) Translated from the Russian by Juan Jose Tolosa. Zbl 0384.35001
Godunov, S. K.
2
1978
Differenzenschemata. Einführung in die Theorie. (Raznostnye shemy. Vvedenie v teoriju). Lehrbuch. Zbl 0285.65003
Godunov, S. K.; Ryaben’kij, V. S.
2
1973
Lösung eindimensionaler Aufgaben der Gasdynamik in beweglichen Netzen (Reshenie odnomernykh zadach gazovoj dinamiki v podvizhnykh setkakh). Zbl 0208.54203
Alalykin, G. B.; Godunov, S. K.; Kireeva, I. L.; Pliner, L. A.
2
1970
The method of spherical harmonics in a problem of critical parameters. Zbl 0148.39601
Adamskaya, I. A.; Godunov, S. K.
2
1966
Canonical forms of systems of ordinary linear difference equations with constant coefficients. Zbl 0199.15601
Godunov, S. K.; Ryaben’kij, V. S.
2
1963
On difference schemes of the second order of accuracy for multidimensional problems. Zbl 0127.34202
Godunov, S.; Zabrodin, A.
2
1962
Difference methods for the numerical solution of problems in gas dynamics. Zbl 0112.18702
Godunov, S. K.; Semendjaev, K. A.
2
1962
Experimental studies of difference gas dynamics models with shock waves. Zbl 1412.76082
Godunov, S. K.; Klyuchinskii, D. V.; Fortova, S. V.; Shepelev, V. V.
1
2018
Viktor Solomonovich Ryaben’kii and his school (on his 90th birthday). Zbl 1342.01035
Godunov, S. K.; Zhukov, V. T.; Lazarev, M. I.; Sofronov, I. L.; Turchaninov, V. I.; Kholodov, A. S.; Tsynkov, S. V.; Chetverushkin, B. N.; Epshteyn, Ye. Yu.
1
2015
About inclusion of Maxwell’s equations into systems of relativity invariant equations. Zbl 1299.83002
Godunov, S. K.
1
2013
On approximations for overdetermined hyperbolic equations. Zbl 1141.35427
Godunov, S. K.
1
2008
Experiments on using the resonance effect for spectral analysis of finite-dimensional skew-symmetric operators. Zbl 1164.65364
Godunov, S. K.; Selivanova, S. V.
1
2006
New version of the thermodynamically consistent model of Maxwell viscosity. Zbl 1108.35113
Godunov, S. K.
1
2004
On the ideas, underlying the construction of difference grids. Zbl 1079.76051
Godunov, S. K.
1
2003
Complicated structures of Galilean-invariant conservation laws. Zbl 0989.35086
Godunov, S. K.; Gordienko, V. M.
1
2002
Spectrum dichotomy and a stability criterion for sectorial operators. Zbl 0857.65042
Godunov, S. K.
1
1995
An estimate for Green’s matrix of a Hamiltonian system in the optimal control problem. Zbl 0811.49002
Godunov, S. K.
1
1993
Check of boundedness of powers of symplectic matrices with the help of averagings. Zbl 0776.65030
Godunov, S. K.
1
1992
Criteria of convergence for orthogonal-power methods of spectral analysis of matrices. Zbl 0705.65029
Godunov, S. K.
1
1989
Singular numbers of a boundary-value problem on the halfline for a linear system of ordinary differential equations. Zbl 0697.34029
Godunov, S. K.; Gordienko, V. M.
1
1989
Stability of iterations of symplectic transformations. Zbl 0686.65022
Godunov, S. K.
1
1989
Stability of iterations of symplectic transformations. Zbl 0671.65032
Godunov, S. K.
1
1989
A problem of guaranteed accuracy in numerical methods of linear algebra. Zbl 0664.65024
Godunov, S. K.
1
1987
BAIL IV: Proceedings of the Fourth International Conference on Boundary and Interior Layers - Computational and Asymptotic Methods, 7-11 July 1986, Novosibirsk, USSR. Zbl 0671.00016
Godunov, S. K. (ed.); Miller, J. J. H. (ed.); Novikov, V. A. (ed.)
1
1986
Calculation of positive definite solutions of the Lyapunov equation. Zbl 0614.65046
Bulgakov, A. Ya.; Godunov, S. K.
1
1985
Theory of spinors and representations of the rotation group. (Teoriya spinorov i predstavlenij gruppy vrashchenij). Zbl 0552.22002
Godunov, S. K.
1
1978
Experimental studies of difference gas dynamics models with shock waves. Zbl 1412.76082
Godunov, S. K.; Klyuchinskii, D. V.; Fortova, S. V.; Shepelev, V. V.
1
2018
Viktor Solomonovich Ryaben’kii and his school (on his 90th birthday). Zbl 1342.01035
Godunov, S. K.; Zhukov, V. T.; Lazarev, M. I.; Sofronov, I. L.; Turchaninov, V. I.; Kholodov, A. S.; Tsynkov, S. V.; Chetverushkin, B. N.; Epshteyn, Ye. Yu.
1
2015
Computation of discontinuous solutions of fluid dynamics equations with entropy nondecrease guarantee. Zbl 1313.35238
Godunov, S. K.; Kulikov, I. M.
8
2014
Numerical and experimental simulation of wave formation during explosion welding. Zbl 1293.82021
Godunov, S. K.; Kiselev, S. P.; Kulikov, I. M.; Mali, V. I.
5
2013
About inclusion of Maxwell’s equations into systems of relativity invariant equations. Zbl 1299.83002
Godunov, S. K.
1
2013
Thermodynamic formalization of the fluid dynamics equations for a charged dielectric in an electromagnetic field. Zbl 1274.35285
Godunov, S. K.
2
2012
Experimental analysis of convergence of the numerical solution to a generalized solution in fluid dynamics. Zbl 1224.35343
Godunov, S. K.; Manuzina, Yu. D.; Nazar’eva, M. A.
3
2011
Thermodynamically consistent nonlinear model of elastoplastic Maxwell medium. Zbl 1224.74017
Godunov, S. K.; Peshkov, I. M.
14
2010
Symmetric hyperbolic equations in nonlinear elasticity theory. Zbl 1164.74360
Godunov, S. K.; Peshkov, I. M.
7
2008
On approximations for overdetermined hyperbolic equations. Zbl 1141.35427
Godunov, S. K.
1
2008
On the difference approximations of overdetermined hyperbolic equations of classical mathematical physics. Zbl 1210.35168
Babij, D. P.; Godunov, S. K.; Zhukov, V. T.; Feodoritova, O. B.
7
2007
Spectral analysis of symplectic matrices with application to the theory of parametric resonance. Zbl 1124.65040
Godunov, S. K.; Sadkane, M.
6
2006
Experiments on using the resonance effect for spectral analysis of finite-dimensional skew-symmetric operators. Zbl 1164.65364
Godunov, S. K.; Selivanova, S. V.
1
2006
The Clebsch-Gordan coefficients with respect to various bases for unitary and orthogonal representations of \(\text{SU}(2)\) and \(\text{SO}(3)\). Zbl 1048.22003
Godunov, S. K.; Gordienko, V. M.
5
2004
New version of the thermodynamically consistent model of Maxwell viscosity. Zbl 1108.35113
Godunov, S. K.
1
2004
Elements of continuum mechanics and conservation laws. Translation from the 1998 Russian original. Zbl 1031.74004
Godunov, Sergei K.; Romenskii, Evgenii I.
58
2003
Some new algorithms for the spectral dichotomy methods. Zbl 1035.65032
Godunov, S. K.; Sadkane, M.
9
2003
On the ideas, underlying the construction of difference grids. Zbl 1079.76051
Godunov, S. K.
1
2003
Bounds for the convergence rate of Newton’s method for calculating invariant subspaces. Zbl 1060.65043
Godunov, S. K.; Nechepurenko, Yu. M.
6
2002
The simplest Galilean-invariant and thermodynamically consistent conservation laws. Zbl 0989.35016
Godunov, S. K.; Gordienko, V. M.
2
2002
Complicated structures of Galilean-invariant conservation laws. Zbl 0989.35086
Godunov, S. K.; Gordienko, V. M.
1
2002
Numerical determination of a canonical form of a symplectic matrix. Zbl 1071.65049
Godunov, S. K.; Sadkane, Miloud
6
2001
Reminiscences about difference schemes. Zbl 0936.65106
Godunov, Sergei Konstantinovich
23
1999
Modern aspects of linear algebra. Transl. from the Russian by Tamara Rozhkovskaya. Zbl 0899.15004
Godunov, S. K.
29
1998
Computation of pseudospectra via spectral projectors. Zbl 0935.65035
Godunov, S. K.; Sadkane, M.
5
1998
Elements of continuum mechanics and conservation laws. Zbl 1053.74001
Godunov, S. K.; Romenskij, E. I.
5
1998
Modern aspects of linear algebra. Zbl 0960.15001
Godunov, S. K.
15
1997
Ordinary differential equations with constant coefficient. Transl. from the Russian by Tamara Rozhkovskaya. Zbl 0884.34001
Godunov, S. K.
14
1997
Reminiscences of difference schemes. A report from the International symposium “The Godunov type method in gas dynamics”, Michigan University (US), May 1997. Zbl 0878.76049
Godunov, S. K.
2
1997
Systems of thermodynamically coordinated laws of conservation invariant under rotations. Zbl 0891.73003
Godunov, S. K.; Mikhailova, T. Yu.; Romenskij, E. I.
10
1996
Condition number of the Krylov bases and subspaces. Zbl 0861.65042
Carpraux, J.-F.; Godunov, S. K.; Kuznetsov, S. V.
5
1996
Elliptic dichotomy of a matrix spectrum. Zbl 0865.65018
Godunov, S. K.; Sadkane, M.
3
1996
Thermodynamics, conservation laws, and symmetric forms of differential equations in mechanics of continuous media. Zbl 0875.73025
Godunov, S. K.; Romensky, E. I.
26
1995
Thermodynamical foundations for special evolution differential equations of continuous media. Zbl 0863.73008
Godunov, S. K.; Romensky, E. I.
2
1995
Spectrum dichotomy and a stability criterion for sectorial operators. Zbl 0857.65042
Godunov, S. K.
1
1995
Ordinary differential equations with constant coefficients. Vol. 1. Boundary value problems. Zbl 0912.34018
Godunov, S. K.
16
1994
Quasi-isometric parametrization of a curvilinear quadrangle and a metric of constant curvature. Zbl 0861.53011
Godunov, S. K.; Gordienko, V. M.; Chumakov, G. A.
4
1994
Guaranteed accuracy in numerical linear algebra. Updated and rev. transl. of the original work ’The guaranteed precision of linear equations solutions in Euclidean spaces’, publ. by Nauka 1992. Zbl 0793.65014
Godunov, S. K.; Antonov, A. G.; Kirilyuk, O. P.; Kostin, V. I.
14
1993
An estimate for Green’s matrix of a Hamiltonian system in the optimal control problem. Zbl 0811.49002
Godunov, S. K.
1
1993
Guaranteed precision in the solution of systems of linear equations in Euclidean spaces. 2nd ed., rev. and compl. Zbl 0825.65001
Godunov, S. K.; Antonov, A. G.; Kirilyuk, O. P.; Kostin, V. I.
9
1992
Spectral portraits of matrices and criteria of spectrum dichotomy. Zbl 0838.65035
Godunov, S. K.
5
1992
Norms of solutions to the Lur’e-Riccati matrix equations as criteria of the quality of stabilizability and detectability. Zbl 0855.93067
Godunov, S. K.
3
1992
Verification of boundedness for the powers of symplectic matrices with the help of averaging. Zbl 0834.65032
Godunov, S. K.
2
1992
Check of boundedness of powers of symplectic matrices with the help of averagings. Zbl 0776.65030
Godunov, S. K.
1
1992
Criteria of convergence for orthogonal-power methods of spectral analysis of matrices. Zbl 0705.65029
Godunov, S. K.
1
1989
Singular numbers of a boundary-value problem on the halfline for a linear system of ordinary differential equations. Zbl 0697.34029
Godunov, S. K.; Gordienko, V. M.
1
1989
Stability of iterations of symplectic transformations. Zbl 0686.65022
Godunov, S. K.
1
1989
Stability of iterations of symplectic transformations. Zbl 0671.65032
Godunov, S. K.
1
1989
Circular dichotomy of the matrix spectrum. Zbl 0674.65016
Bulgakov, A. Ya.; Godunov, S. K.
8
1988
Circular dichotomy of the matrix spectrum. (Dedicated to Sergej L’vovich Sobolev). Zbl 0662.65031
Bulgakov, A. Ya.; Godunov, S. K.
5
1988
Guaranteed precision in the solution of systems of linear equations in Euclidean spaces. Ed. by V. A. Bulavskij. Zbl 0665.65022
Godunov, S. K.; Antonov, A. G.; Kirilyuk, O. P.; Kostin, V. I.
5
1988
Difference schemes. An introduction to the underlying theory. Transl. from the Russian by E. M. Gelbard. Zbl 0614.65096
Godunov, S. K.; Ryaben’kij, V. S.
15
1987
Lois de conservation et intégrales d’énergie des équations hyperboliques. (Conservation laws and energy integrals of hyperbolic equations). Zbl 0636.35051
Godounov, S. K.
3
1987
A problem of guaranteed accuracy in numerical methods of linear algebra. Zbl 0664.65024
Godunov, S. K.
1
1987
Problem of the dichotomy of the spectrum of a matrix. Zbl 0655.34020
Godunov, S. K.
11
1986
A problem on the dichotomy of matrix spectrum. Zbl 0637.34018
Godunov, S. K.
10
1986
BAIL IV: Proceedings of the Fourth International Conference on Boundary and Interior Layers - Computational and Asymptotic Methods, 7-11 July 1986, Novosibirsk, USSR. Zbl 0671.00016
Godunov, S. K. (ed.); Miller, J. J. H. (ed.); Novikov, V. A. (ed.)
1
1986
Computation of an eigenvector of a symmetric tridiagonal matrix. Zbl 0595.65036
Godunov, S. K.; Kostin, V. I.; Mitchenko, A. D.
4
1985
Computation of the eigenvector of a symmetric tridiagonal matrix. Zbl 0581.65026
Godunov, S. K.; Kostin, V. I.; Mitchenko, A. D.
2
1985
Calculation of positive definite solutions of the Lyapunov equation. Zbl 0614.65046
Bulgakov, A. Ya.; Godunov, S. K.
1
1985
The Green matrix of a boundary value problem for ordinary differential equations. Zbl 0548.34032
Godunov, S. K.; Gordienko, V. M.
2
1984
Reduction of a hyperbolic equation to a symmetric hyperbolic system in the case of two space variables. Zbl 0461.35057
Godunov, S. K.; Kostin, V. I.
2
1981
Solution of systems of linear equations. (Reshenie sistem linejnykh uravnenij). Zbl 0442.15001
Godunov, S. K.
5
1980
Reduction of a hyperbolic equation to a symmetric hyperbolic system in case of two spatial variables. Zbl 0455.35081
Godunov, S. K.; Kostin, V. I.
3
1980
Clebsch-Gordan coefficients and special functions for the solution of invariant equations. Textbook. (Koehffitsienty Klebsha-Gordana i spetsial’nye funktsii dlya resheniya invariantnykh uravnenij. Uchebnoe posobie.). Zbl 0447.22011
Godunov, S. K.
53
1979
Résolution numérique des problèmes multidimensionnels de la dynamique des gaz. Sous la redaction de S. Godounov. Traduit du russe par Valeri Platonov. Zbl 0421.65056
Godounov, S. K.; Zabrodine, A.; Ivanov, M. Ya.; Krajko, A.; Prokopov, G. P.
31
1979
Theoretical principles and construction of numerical algorithms of mathematical physics. (Teoreticheskie osnovy i konstruirovanie chislennykh algoritmov zadach matematicheskoj fiziki). Zbl 0464.65082
Anuchina, N. N.; Babenko, K. I.; Godunov, S. K.; Dmitriev, N. A.; Dmitrieva, L. A.; D’yachenko, V. F.; Zabrodin, A. V.; Lokutsievskij, O. V.; Malinovskij, E. V.; Podlivaev, I. F.; Prokopov, G. P.; Sofronov, I. D.; Fedorenko, R. P.
3
1979
Hyperbolic equations of the nonlinear theory of elasticity. Zbl 0498.35054
Godunov, S. K.
20
1978
Equations of mathematical physics. (Ecuaciones de la fisica matematica.) Translated from the Russian by Juan Jose Tolosa. Zbl 0384.35001
Godunov, S. K.
2
1978
Theory of spinors and representations of the rotation group. (Teoriya spinorov i predstavlenij gruppy vrashchenij). Zbl 0552.22002
Godunov, S. K.
1
1978
A mixed problem for the wave equation. Zbl 0425.35068
Godunov, S. K.; Gordienko, V. M.
7
1977
The use of a class of quasiconformal mappings to construct difference nets in domains with curvilinear boundaries. Zbl 0366.65039
Belinskij, P. P.; Godunov, S. K.; Ivanov, Yu. B.; Yanenko, I. K.
4
1977
Schemas aux différences. Introduction à la théorie. Traduit du russe par Irina Petrova. Zbl 0374.65002
Godunov, S. K.; Ryaben’kij, V. S.
1
1977
On the convergence of the modified method of steepest descent in the calculation of eigenvalues. Zbl 0364.65078
Godunov, S. K.; Ogneva, V. V.; Prokopov, G. P.
8
1976
The use of moving meshes in gas-dynamical computations. Zbl 0271.76057
Godunov, S. K.; Prokopov, G. P.
19
1973
Equations de la physique mathématique. Traduit du russe par Edouard Gloukhian. Zbl 0279.35001
Godounov, S.
3
1973
Differenzenschemata. Einführung in die Theorie. (Raznostnye shemy. Vvedenie v teoriju). Lehrbuch. Zbl 0285.65003
Godunov, S. K.; Ryaben’kij, V. S.
2
1973
Use of the energy integral to estimate the accuracy of approximate eigenvalues. Zbl 0261.65075
Godunov, S. K.
1
1973
The dissipativity of Vladimirov’s boundary conditions for a symmetric system of the method of spherical harmonics. Zbl 0251.35004
Godunov, S. K.; Sultangazin, U. M.
1
1973
On discrete models of the kinetic Boltzmann equation. Zbl 0228.35074
Godunov, S. K.; Sultangazin, U. M.
17
1972
Über die Verwendung beweglicher Netze in gasdynamischen Berechnungen. Zbl 0265.76071
Godunov, S. K.; Prokopov, G. P.
10
1972
A method of minimal iterations for evaluating the eigenvalues of an elliptic operator. Zbl 0258.65107
Godunov, S. K.; Prokopov, G. P.
6
1972
Use of the energy integral to estimate the accuracy of approximate eigenvalues. Zbl 0232.65079
Godunov, S. K.
21
1971
Über diskrete Modelle der kinetischen Boltzmann-Gleichung. Zbl 0219.35071
Godunov, S. K.; Sultangazin, U. M.
16
1971
Gleichungen der mathematischen Physik. (Uravnenija matematiceskoi fiziki.). Zbl 0238.35001
Godunov, S. K.
1
1971
Lösung eindimensionaler Aufgaben der Gasdynamik in beweglichen Netzen (Reshenie odnomernykh zadach gazovoj dinamiki v podvizhnykh setkakh). Zbl 0208.54203
Alalykin, G. B.; Godunov, S. K.; Kireeva, I. L.; Pliner, L. A.
2
1970
Application of the method of minimal iterations for calculation of eigenvalues of elliptic operators. Zbl 0215.27703
Godunov, S. K.; Prokopov, G. P.
1
1970
Some self-modelling motions of an ideal gas. Zbl 0197.24402
Godunov, S. K.; Kireeva, I. L.
4
1968
On the computation of conformal transformations and the construction of difference meshes. Zbl 0202.16202
Godunov, S. K.; Prokopov, G. P.
11
1967
The method of spherical harmonics in a problem of critical parameters. Zbl 0148.39601
Adamskaya, I. A.; Godunov, S. K.
2
1966
Theory of difference schemes. An introduction. Translated by E.Godfredsen. Zbl 0116.33102
Godunov, S. K.; Ryabenki, V. S.
29
1964
Spectral stability criteria for boundary value problems for nonself- adjoint difference equations. Zbl 0135.29301
Godunov, S. K.; Ryaben’kij, V. S.
4
1963
Canonical forms of systems of ordinary linear difference equations with constant coefficients. Zbl 0199.15601
Godunov, S. K.; Ryaben’kij, V. S.
2
1963
Thermodynamics of gases and differential equations. Zbl 0127.16301
Godunov, S. K.
1
1963
The problem of a generalized solution in the theory of quasi-linear equations and in gas dynamics. Zbl 0107.20003
Godunov, S. K.
19
1962
A method of orthogonal successive substitution for the solution of systems of difference equations. Zbl 0142.11704
Godunov, S. K.
3
1962
On difference schemes of the second order of accuracy for multidimensional problems. Zbl 0127.34202
Godunov, S.; Zabrodin, A.
2
1962
Difference methods for the numerical solution of problems in gas dynamics. Zbl 0112.18702
Godunov, S. K.; Semendjaev, K. A.
2
1962
An interesting class of quasilinear systems. Zbl 0125.06002
Godunov, S. K.
107
1961
A computational scheme for two-dimensional nonstationary problems of gas dynamics and calculation of the flow from a shock wave approaching a stationary state. Zbl 0146.23004
Godunov, S. K.; Zabrodin, A. V.; Prokopov, G. P.
27
1961
...and 8 more Documents
all top 5

Cited by 2,014 Authors

38 Dumbser, Michael
20 Blokhin, Aleksandr Mikhaĭlovich
19 Godunov, Sergeĭ Konstantinovich
18 Toro, Eleuterio F.
17 Sadkane, Miloud
16 Romenskii, Evgenii I.
15 Balsara, Dinshaw S.
15 Saurel, Richard
14 Hérard, Jean-Marc
14 Radkevich, Evgeniĭ Vladimirovich
13 Glaister, Paul
12 Gavrilyuk, Sergey L.
11 Chugaĭnova, Anna Pavlova
10 Boscheri, Walter
10 Favrie, Nicolas
9 Kulikovskiĭ, Andreĭ Gennad’evich
9 Li, Jiequan
9 Malyshev, Alexander N.
9 Nechepurenko, Yuri M.
8 Abgrall, Rémi
8 Kuzmin, Dmitri
8 Nkonga, Boniface
8 Ostapenko, Vladimir Viktorovich
8 Peshkov, Ilya M.
8 Rogov, Boris V.
7 Després, Bruno
7 Drikakis, Dimitris
7 Gallouët, Thierry
7 Maire, Pierre-Henri
7 Men’shov, Igor S.
7 Morgan, Nathaniel R.
7 Murillo, Javier
7 Ruggeri, Tommaso
7 Thompson, Joe F.
7 Titarev, Vladimir A.
6 Burton, Donald E.
6 Gordienko, Valeriĭ M.
6 Kawashima, Shuichi
6 Loubère, Raphaël
6 Munz, Claus-Dieter
6 Sadkane, Mouhamadou
6 Sadovskii, Vladimir M.
6 Seguin, Nicolas
6 Sever, Michael
6 Shu, Chi-Wang
6 Tadmor, Eitan
6 Tkachev, Dmitry L.
6 Woodward, Paul R.
5 Barton, Philip T.
5 Belykh, Vladimir N.
5 Bragin, Michael D.
5 Carpenter, Mark H.
5 Demidenko, Gennadiĭ Vladimirovich
5 Diehl, Stefan
5 Egorov, I. V.
5 Giovangigli, Vincent
5 Groth, Clinton P. T.
5 Kulikov, Igor M.
5 Kurganov, Alexander
5 Maklakov, Vladimir Nikolaevich
5 Mastin, C. Wayne
5 Mishra, Siddhartha
5 Pukhnachov, Vladislav Vasil’evich
5 Rasulov, Mahir A.
5 Risebro, Nils Henrik
5 Roe, Philip L.
5 Seibold, Benjamin
5 Shu, Chang
5 Tang, Huazhong
5 Xu, Kun
5 Yanenko, Nikolaĭ Nikolaevich
5 Yong, Wen-An
4 Abakumov, M. V.
4 Azarenok, Boris N.
4 Banks, Jeffrey W.
4 Boillat, Guy
4 Castro, Manuel J.
4 Chen, Gui-Qiang G.
4 Colominas, Ignasi
4 Cunha, Maria Cristina C.
4 Delle Monache, Maria Laura
4 Demyanko, Kirill V.
4 Dorini, Fábio Antonio
4 Faragó, István
4 Ferapontov, Evgeny Vladimirovich
4 Fortova, S. V.
4 Gaburro, Elena
4 Garcia-Navarro, Pilar
4 Goatin, Paola
4 Goloviznin, V. M.
4 Helluy, Philippe
4 Henshaw, William D.
4 Herty, Michael Matthias
4 Hidalgo, Arturo
4 Hurisse, Olivier
4 Jameson, Antony
4 Kovyrkina, Olyana A.
4 Malyarenko, Anatoliy A.
4 McDonald, James G.
4 Moiseev, N. Ya.
...and 1,914 more Authors
all top 5

Cited in 212 Serials

321 Journal of Computational Physics
97 Computers and Fluids
57 Computational Mathematics and Mathematical Physics
52 Siberian Mathematical Journal
51 Computer Methods in Applied Mechanics and Engineering
36 Journal of Computational and Applied Mathematics
32 Journal of Scientific Computing
29 Applied Numerical Mathematics
28 Applied Mathematics and Computation
27 Computers & Mathematics with Applications
26 Linear Algebra and its Applications
24 Journal of Mathematical Sciences (New York)
20 Journal of Applied Mathematics and Mechanics
19 Numerische Mathematik
16 Journal of Applied Mechanics and Technical Physics
14 Archive for Rational Mechanics and Analysis
13 Fluid Dynamics
13 Mathematics of Computation
13 Journal of Differential Equations
12 International Journal for Numerical Methods in Fluids
12 Continuum Mechanics and Thermodynamics
11 Journal of Mathematical Analysis and Applications
11 Mathematical and Computer Modelling
11 Differential Equations
10 Proceedings of the Steklov Institute of Mathematics
10 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
9 Mathematical Notes
9 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
9 Applied Mathematical Modelling
8 Computer Physics Communications
8 BIT
8 SIAM Journal on Scientific Computing
8 Matematicheskoe Modelirovanie
7 Communications in Mathematical Physics
7 Physica D
7 Applied Mathematics Letters
7 Computational Mathematics and Modeling
7 Doklady Mathematics
7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
7 Journal of Siberian Federal University. Mathematics & Physics
6 Journal of Engineering Mathematics
6 Journal of Statistical Physics
6 Prikladnaya Matematika i Mekhanika
6 International Journal for Numerical Methods in Engineering
6 European Journal of Mechanics. B. Fluids
5 ZAMP. Zeitschrift für angewandte Mathematik und Physik
5 Russian Mathematics
5 Archives of Computational Methods in Engineering
4 International Journal of Engineering Science
4 Wave Motion
4 Computing
4 Mathematics and Computers in Simulation
4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4 RAIRO. Modélisation Mathématique et Analyse Numérique
4 Numerical Methods for Partial Differential Equations
4 SIAM Journal on Applied Mathematics
4 Communications in Numerical Methods in Engineering
4 Networks and Heterogeneous Media
4 Discrete and Continuous Dynamical Systems. Series S
3 Journal of Mathematical Physics
3 Ukrainian Mathematical Journal
3 Journal of Soviet Mathematics
3 Computational Mechanics
3 Journal of Elasticity
3 Russian Journal of Numerical Analysis and Mathematical Modelling
3 Advances in Computational Mathematics
3 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki
3 Living Reviews in Relativity
3 Nonlinear Analysis. Theory, Methods & Applications
2 Acta Mechanica
2 Mathematical Methods in the Applied Sciences
2 Theoretical and Mathematical Physics
2 Transport Theory and Statistical Physics
2 Theoretical and Computational Fluid Dynamics
2 Chaos, Solitons and Fractals
2 Shock Waves
2 Bulletin of the Polish Academy of Sciences. Technical Sciences
2 Soviet Applied Mechanics
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Applied Mathematics and Optimization
2 Journal of Optimization Theory and Applications
2 Numerical Functional Analysis and Optimization
2 Quarterly of Applied Mathematics
2 Ricerche di Matematica
2 SIAM Journal on Numerical Analysis
2 Tohoku Mathematical Journal. Second Series
2 Systems & Control Letters
2 Acta Mathematicae Applicatae Sinica. English Series
2 SIAM Journal on Matrix Analysis and Applications
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 European Journal of Operational Research
2 SIAM Journal on Mathematical Analysis
2 Archive of Applied Mechanics
2 Cybernetics and Systems Analysis
2 Numerical Linear Algebra with Applications
2 International Journal of Numerical Methods for Heat & Fluid Flow
2 Journal of Inverse and Ill-Posed Problems
2 Mathematical Problems in Engineering
2 International Journal of Computational Fluid Dynamics
2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
...and 112 more Serials
all top 5

Cited in 44 Fields

744 Fluid mechanics (76-XX)
636 Numerical analysis (65-XX)
481 Partial differential equations (35-XX)
129 Mechanics of deformable solids (74-XX)
59 Statistical mechanics, structure of matter (82-XX)
54 Linear and multilinear algebra; matrix theory (15-XX)
46 Classical thermodynamics, heat transfer (80-XX)
43 Ordinary differential equations (34-XX)
35 Operations research, mathematical programming (90-XX)
30 Optics, electromagnetic theory (78-XX)
26 Geophysics (86-XX)
19 Probability theory and stochastic processes (60-XX)
19 Biology and other natural sciences (92-XX)
18 Operator theory (47-XX)
18 Systems theory; control (93-XX)
16 Astronomy and astrophysics (85-XX)
14 Dynamical systems and ergodic theory (37-XX)
12 Calculus of variations and optimal control; optimization (49-XX)
10 Relativity and gravitational theory (83-XX)
9 Mechanics of particles and systems (70-XX)
8 History and biography (01-XX)
7 Difference and functional equations (39-XX)
7 Integral equations (45-XX)
7 Computer science (68-XX)
7 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
6 Global analysis, analysis on manifolds (58-XX)
5 Approximations and expansions (41-XX)
4 General and overarching topics; collections (00-XX)
4 Functions of a complex variable (30-XX)
4 Differential geometry (53-XX)
4 Statistics (62-XX)
3 Nonassociative rings and algebras (17-XX)
3 Potential theory (31-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Quantum theory (81-XX)
2 Mathematical logic and foundations (03-XX)
2 Special functions (33-XX)
2 Integral transforms, operational calculus (44-XX)
2 Functional analysis (46-XX)
2 Information and communication theory, circuits (94-XX)
1 Field theory and polynomials (12-XX)
1 Topological groups, Lie groups (22-XX)
1 Real functions (26-XX)
1 General topology (54-XX)

Citations by Year

Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.