Edit Profile (opens in new tab) Godunov, Sergeĭ Konstantinovich (b. 1929 d. 2023) Co-Author Distance Author ID: godunov.sergei-konstantinovich Published as: Godunov, S. K.; Godunov, Sergei K.; Godounov, S. K.; Godunov, Sergei Konstantinovich; Gudonov, S. K.; Godounov, S.; Godunov, S. more...less Further Spellings: Годунов Сергей Константинович External Links: MGP · Wikidata · Google Scholar · Math-Net.Ru · GND · IdRef Documents Indexed: 176 Publications since 1948, including 26 Books 21 Contributions as Editor Biographic References: 10 Publications Co-Authors: 107 Co-Authors with 101 Joint Publications 2,639 Co-Co-Authors all top 5 Co-Authors 86 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 Sadkane, Miloud 5 Beresnev, Vladimir Leonidovich 5 Reshetnyak, Yuriĭ Grigor’evich 4 Ershov, Yuriĭ Leonidovich 4 Kirilyuk, O. P. 4 Sultangazin, Umirzak Makhmutovich 4 Zabrodin, Aleksei Valerievich 4 Zhukov, Viktor Timofeevich 3 Adamskaya, I. A. 3 Antonov, A. G. 3 Feodoritova, O. B. 3 Kireeva, I. L. 3 Kutateladze, Semën Samsonovich 3 Kuznetsov, Sergey V. 3 Nechepurenko, Yuri M. 3 Peshkov, Ilya M. 2 Belinskii, P. P. 2 Carpraux, J.-F. 2 Chumakov, Gennadiĭ Aleksandrovich 2 Fortova, S. V. 2 Ivanov, Yu. B. 2 Klyuchinskii, D. V. 2 Kulikov, Igor M. 2 Malyshev, Alexander N. 2 Mazurov, Viktor Danilovich 2 Mikhailova, T. Yu. 2 Mitchenko, A. D. 2 Ogneva, V. V. 2 Romanov, Vladimir Gavrilovich 2 Romenskij, E. I. 2 Shepelev, V. V. 2 Yanenko, I. K. 1 Afendikov, Andrei Leonidovich 1 Alalykin, G. B. 1 Anuchina, N. N. 1 Aptekarev, Alexander Ivanovich 1 Babenko, Konstantin Ivanovich 1 Babii, D. P. 1 Bagrinovskii, K. A. 1 Bashmakova, Izabella Grigor’evna 1 Belyi, Gennadii Vladimirovich 1 Borisov, Igor Semenovich 1 Bukhshtaber, Viktor Matveevich 1 Bulavsky, Vladimir A. 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, Anatoliĭ 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 Manuzina, Yu. D. 1 Maslov, A. I. 1 Mikhajlenko, B. G. 1 Miller, John James Henry 1 Morozov, Andreĭ Sergeevich 1 Nazar’eva, M. A. 1 Nikitin, Anatoly 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 Romenskii, Evgenii I. 1 Selivanova, Svetlana V. 1 Semendyaev, Konstantin Adol’fovich 1 Silver, Ben 1 Skorokhod, Anatoliĭ Volodymyrovych 1 Sobolev, Sergeĭ L’vovich 1 Sofronov, Ivan Denisovich ...and 9 more Co-Authors all top 5 Serials 22 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 16 Sibirskiĭ Matematicheskiĭ Zhurnal 15 U.S.S.R. Computational Mathematics and Mathematical Physics 12 Siberian Mathematical Journal 7 Russian Mathematical Surveys 5 Uspekhi Matematicheskikh Nauk [N. S.] 5 Soviet Mathematics. Doklady 5 Computational Mathematics and Mathematical Physics 4 Journal of Computational Physics 4 Siberian Advances in Mathematics 4 Linear Algebra and its Applications 4 Prikladnaya Mekhanika i Tekhnicheskaya Fizika 3 Sibirskiĭ Zhurnal Vychislitel’noĭ Matematiki 3 Translations. Series 2. American Mathematical Society 2 Matematicheskiĭ Sbornik. Novaya Seriya 2 Translations of Mathematical Monographs 1 AIAA Journal 1 Doklady Akademii Nauk SSSR 1 Commentationes Mathematicae Universitatis Carolinae 1 Applied Numerical Mathematics 1 SIAM Journal on Matrix Analysis and Applications 1 Soviet Physics. Doklady 1 Vychislitel’nye Protsessy i Sistemy 1 Russian Journal of Numerical Analysis and Mathematical Modelling 1 Siberian Journal of Computer Mathematics 1 Journal of Hyperbolic Differential Equations 1 Doklady Akademii Nauk SSSR. Novaya Seriya 1 Conference Series. Boole Press 1 Mathematics and its Applications (Dordrecht) 1 Proceedings of the Steklov Institute of Mathematics 1 Studies in Mathematics and its Applications 1 Trudy Seminara Metody Vychislitel’noĭ i Prikladnoĭ Matematiki 1 Translations. Series 2. American Mathematical Society all top 5 Fields 76 Numerical analysis (65-XX) 52 Partial differential equations (35-XX) 25 Linear and multilinear algebra; matrix theory (15-XX) 24 Fluid mechanics (76-XX) 23 General and overarching topics; collections (00-XX) 18 Ordinary differential equations (34-XX) 18 Mechanics of deformable solids (74-XX) 14 History and biography (01-XX) 5 Operator theory (47-XX) 4 Topological groups, Lie groups (22-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Systems theory; control (93-XX) 3 Functions of a complex variable (30-XX) 3 Potential theory (31-XX) 3 Difference and functional equations (39-XX) 3 Functional analysis (46-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Group theory and generalizations (20-XX) 2 Special functions (33-XX) 2 Differential geometry (53-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Number theory (11-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Abstract harmonic analysis (43-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 122 Publications have been cited 2,605 times in 2,121 Documents Cited by ▼ Year ▼ A difference method for numerical calculation of discontinuous solutions of the equations of hydrodynamics. (Eine Differenzenmethode für die Näherungsberechnung unstetiger Lösungen der hydrodynamischen Gleichungen.) Zbl 0171.46204 Godunov, S. K. 1,031 1959 An interesting class of quasilinear systems. Zbl 0125.06002 Godunov, S. K. 193 1961 Elements of continuum mechanics and conservation laws. Translation from the 1998 Russian original. Zbl 1031.74004 Godunov, Sergei K.; Romenskii, Evgenii I. 144 2003 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. 61 1979 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. 54 1987 Modern aspects of linear algebra. Transl. from the Russian by Tamara Rozhkovskaya. Zbl 0899.15004 Godunov, S. K. 49 1998 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. 48 1979 Thermodynamics, conservation laws, and symmetric forms of differential equations in mechanics of continuous media. Zbl 0875.73025 Godunov, S. K.; Romensky, E. I. 46 1995 Theory of difference schemes. An introduction. Translated by E.Godfredsen. Zbl 0116.33102 Godunov, S. K.; Ryabenki, V. S. 46 1964 Über die numerische Lösung von Randwertaufgaben für Systeme von linearen gewöhnlichen Differentialgleichungen. Zbl 0107.11001 Godunov, S. K. 38 1961 Difference schemes for multidimensional problems. Zbl 0087.12201 Bagrinovskij, K. A.; Godunov, S. K. 35 1957 Modern aspects of linear algebra. (Современные аспекты линейной алгебры.) Zbl 0960.15001 Godunov, S. K. 34 1997 Reminiscences about difference schemes. Zbl 0936.65106 Godunov, Sergei Konstantinovich 33 1999 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. 30 1961 On discrete models of the kinetic Boltzmann equation. Zbl 0228.35074 Godunov, S. K.; Sultangazin, U. M. 28 1972 The use of moving meshes in gas-dynamical computations. Zbl 0271.76057 Godunov, S. K.; Prokopov, G. P. 26 1973 Ordinary differential equations with constant coefficients. Vol. 1. Boundary value problems. (Обыкновенные дифференциальные уравнения с постоянными коехффициентами. Том 1. Краевые задачи.) Zbl 0912.34018 Godunov, S. K. 24 1994 Über diskrete Modelle der kinetischen Boltzmann-Gleichung. Zbl 0219.35071 Godunov, S. K.; Sultangazin, U. M. 23 1971 Ordinary differential equations with constant coefficient. Transl. from the Russian by Tamara Rozhkovskaya. Zbl 0884.34001 Godunov, S. K. 23 1997 Systems of thermodynamically coordinated laws of conservation invariant under rotations. Zbl 0891.73003 Godunov, S. K.; Mikhailova, T. Yu.; Romenskij, E. I. 22 1996 Thermodynamically consistent nonlinear model of elastoplastic Maxwell medium. Zbl 1224.74017 Godunov, S. K.; Peshkov, I. M. 22 2010 The problem of a generalized solution in the theory of quasi-linear equations and in gas dynamics. Zbl 0107.20003 Godunov, S. K. 22 1962 Schemas aux différences. Introduction à la théorie. Traduit du russe par Irina Petrova. Zbl 0374.65002 Godunov, S. K.; Ryaben’kij, V. S. 21 1977 Elements of continuum mechanics and conservation laws. (Элементы механики сплошных сред и законы сохранения.) Zbl 1053.74001 Godunov, S. K.; Romenskij, E. I. 21 1998 Use of the energy integral to estimate the accuracy of approximate eigenvalues. Zbl 0232.65079 Godunov, S. K. 19 1971 Hyperbolic equations of the nonlinear theory of elasticity. Zbl 0498.35054 Godunov, S. K. 19 1978 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. 17 1993 Computation of discontinuous solutions of fluid dynamics equations with entropy nondecrease guarantee. Zbl 1313.35238 Godunov, S. K.; Kulikov, I. M. 15 2014 On nonunique ’Blurring’ of discontinuities in solutions of quasilinear systems. Zbl 0117.06401 Godunov, S. K. 15 1961 Über die Verwendung beweglicher Netze in gasdynamischen Berechnungen. Zbl 0265.76071 Godunov, S. K.; Prokopov, G. P. 14 1972 Guaranteed precision in the solution of systems of linear equations in Euclidean spaces. Ed. by V. A. Bulavskij. (Гарантированная точност’ решения систем линейных уравнений в евклидовых пространствах.) Zbl 0665.65022 Godunov, S. K.; Antonov, A. G.; Kirilyuk, O. P.; Kostin, V. I. 14 1988 Problem of the dichotomy of the spectrum of a matrix. Zbl 0655.34020 Godunov, S. K. 13 1986 A problem on the dichotomy of matrix spectrum. Zbl 0637.34018 Godunov, S. K. 13 1986 Guaranteed precision in the solution of systems of linear equations in Euclidean spaces. 2nd ed., rev. and compl. (Гарантированная точност’ решения систем линейных уравнений в евклидовых пространствах.) Zbl 0825.65001 Godunov, S. K.; Antonov, A. G.; Kirilyuk, O. P.; Kostin, V. I. 12 1992 Equations de la physique mathématique. Traduit du russe par Edouard Gloukhian. Zbl 0279.35001 Godounov, S. 12 1973 Circular dichotomy of the matrix spectrum. (Dedicated to Sergej L’vovich Sobolev). Zbl 0662.65031 Bulgakov, A. Ya.; Godunov, S. K. 12 1988 Circular dichotomy of the matrix spectrum. Zbl 0674.65016 Bulgakov, A. Ya.; Godunov, S. K. 12 1988 Error estimates for the approximate solutions of the simplest equations in gas dynamics. Zbl 0129.19701 Godunov, S. K. 12 1961 Lois de conservation et intégrales d’énergie des équations hyperboliques. (Conservation laws and energy integrals of hyperbolic equations). Zbl 0636.35051 Godounov, S. K. 12 1987 On the computation of conformal transformations and the construction of difference meshes. Zbl 0202.16202 Godunov, S. K.; Prokopov, G. P. 11 1967 Some new algorithms for the spectral dichotomy methods. Zbl 1035.65032 Godunov, S. K.; Sadkane, M. 10 2003 Spectral analysis of symplectic matrices with application to the theory of parametric resonance. Zbl 1124.65040 Godunov, S. K.; Sadkane, M. 10 2006 Thermodynamic formalization of the fluid dynamics equations for a charged dielectric in an electromagnetic field. Zbl 1274.35285 Godunov, S. K. 10 2012 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. 9 1976 Spectral stability criteria for boundary value problems for nonself- adjoint difference equations. Zbl 0135.29301 Godunov, S. K.; Ryaben’kij, V. S. 9 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. 9 2011 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. 8 1977 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. 8 2004 On the concept of generalized solution. Zbl 0104.31901 Godunov, S. K. 8 1960 Representations of the rotation group and spherical functions. (Представления группы вращений и сферические функции.) Zbl 0936.20041 Godunov, S. K.; Mikhaĭlova, T. Yu. 7 1998 A mixed problem for the wave equation. Zbl 0425.35068 Godunov, S. K.; Gordienko, V. M. 7 1977 Computation of pseudospectra via spectral projectors. Zbl 0935.65035 Godunov, S. K.; Sadkane, M. 7 1998 Solution of systems of linear equations. (Reshenie sistem linejnykh uravnenij). Zbl 0442.15001 Godunov, S. K. 7 1980 Study of entropy properties of a linearized version of Godunov’s method. Zbl 1453.35126 Godunov, S. K.; Denisenko, V. V.; Klyuchinskii, D. V.; Fortova, S. V.; Shepelev, V. V. 7 2020 Symmetric hyperbolic equations in nonlinear elasticity theory. Zbl 1164.74360 Godunov, S. K.; Peshkov, I. M. 7 2008 Bounds for the convergence rate of Newton’s method for calculating invariant subspaces. Zbl 1060.65043 Godunov, S. K.; Nechepurenko, Yu. M. 6 2002 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. 6 2007 Numerical determination of a canonical form of a symplectic matrix. Zbl 1071.65049 Godunov, S. K.; Sadkane, Miloud 6 2001 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. 6 1994 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. 6 2013 Die Differenzenmethode zur Bestimmung von Stoßwellen. Zbl 0080.40104 Godunov, S. K. 6 1957 Condition number of the Krylov bases and subspaces. Zbl 0861.65042 Carpraux, J.-F.; Godunov, S. K.; Kuznetsov, S. V. 6 1996 Elliptic dichotomy of a matrix spectrum. Zbl 0865.65018 Godunov, S. K.; Sadkane, M. 6 1996 Equations of mathematical physics. (Ecuaciones de la fisica matematica.) Translated from the Russian by Juan Jose Tolosa. Zbl 0384.35001 Godunov, S. K. 5 1978 Spectral portraits of matrices and criteria of spectrum dichotomy. Zbl 0838.65035 Godunov, S. K. 5 1992 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. 5 1979 Computation of an eigenvector of a symmetric tridiagonal matrix. Zbl 0595.65036 Godunov, S. K.; Kostin, V. I.; Mitchenko, A. D. 4 1985 Gleichungen der mathematischen Physik. (Uravnenija matematiceskoi fiziki.). Zbl 0238.35001 Godunov, S. K. 4 1971 Some self-modelling motions of an ideal gas. Zbl 0197.24402 Godunov, S. K.; Kireeva, I. L. 4 1968 Reminiscences of difference schemes. A report from the International symposium “The Godunov type method in gas dynamics”, Michigan University (US), May 1997. (Vospominaniya o raznostnykh skhemakh. Doklad na Mezhdunarodnom simpoziume “Metod Godunova v gazovoj dinamike”. Michiganskij universitet (SShA). Maj, 1997.) Zbl 0878.76049 Godunov, S. K. 4 1997 A method of orthogonal successive substitution for the solution of systems of difference equations. Zbl 0142.11704 Godunov, S. K. 4 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. 4 2018 Anwendung einer Klasse von quasikonformen Abbildungen zur Konstruktion von Differenzennetzen in Gebieten mit krummlinigen Berandungen. Zbl 0354.65017 Belinskij, P. P.; Godunov, S. K.; Ivanov, Yu. B.; Yanenko, I. K. 3 1975 Differenzenschemata. Einführung in die Theorie. (Raznostnye shemy. Vvedenie v teoriju). Lehrbuch. Zbl 0285.65003 Godunov, S. K.; Ryaben’kij, V. S. 3 1973 Spectrum dichotomy and a stability criterion for sectorial operators. Zbl 0857.65042 Godunov, S. K. 3 1995 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 Thermodynamical foundations for special evolution differential equations of continuous media. Zbl 0863.73008 Godunov, S. K.; Romensky, E. I. 3 1995 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. 3 1970 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 Thermodynamik der Gase und Differentialgleichungen. Zbl 0097.41001 Godunov, S. K. 3 1959 Difference methods for the numerical solution of problems in gas dynamics. Zbl 0112.18702 Godunov, S. K.; Semendjaev, K. A. 3 1962 Computation of the eigenvector of a symmetric tridiagonal matrix. Zbl 0581.65026 Godunov, S. K.; Kostin, V. I.; Mitchenko, A. D. 3 1985 Sur la construction des réseaux dans les domaines compliques d’une facon automatique pour les équations aux différences finies. Zbl 0304.76030 Godounov, S. K. 2 1971 The simplest Galilean-invariant and thermodynamically consistent conservation laws. Zbl 0989.35016 Godunov, S. K.; Gordienko, V. M. 2 2002 Verification of boundedness for the powers of symplectic matrices with the help of averaging. Zbl 0834.65032 Godunov, S. K. 2 1992 Partial differential equations. (Proceedings of the international conference on partial differential equations). (Differentsial’nye uravneniya s chastnymi proiuvodnymi. (Trudy mezhdunarodnoj konferentsii po differentsial’nym uravneniyam s chastnymi proizvodnymi)). Zbl 0597.00017 2 1986 On a special basis of approximate eigenvectors with local supports for an isolated narrow cluster of eigenvalues of a symmetric tridiagonal matrix. Zbl 1549.65086 Godunov, S. K.; Malyshev, A. N. 2 2008 Numerical problems in questions of mathematical physics. (Vychislitel’nye problemy v zadachakh matematicheskoj fiziki.) Zbl 0788.00037 2 1992 Application of the method of minimal iterations for calculation of eigenvalues of elliptic operators. Zbl 0215.27703 Godunov, S. K.; Prokopov, G. P. 2 1970 Complicated structures of Galilean-invariant conservation laws. Zbl 0989.35086 Godunov, S. K.; Gordienko, V. M. 2 2002 About inclusion of Maxwell’s equations into systems of relativity invariant equations. Zbl 1299.83002 Godunov, S. K. 2 2013 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 On difference schemes of the second order of accuracy for multidimensional problems. Zbl 0127.34202 Godunov, S.; Zabrodin, A. 2 1962 The method of spherical harmonics in a problem of critical parameters. Zbl 0148.39601 Adamskaya, I. A.; Godunov, S. K. 2 1966 Experiments on using the resonance effect for spectral analysis of finite-dimensional skew-symmetric operators. Zbl 1164.65364 Godunov, S. K.; Selivanova, S. V. 2 2006 Smoothing techniques and computation of invariant subspaces of elliptic operators. Zbl 0964.65122 Godunov, S. K.; Sadkane, M.; Robbé, M. 1 2000 On the ideas, underlying the construction of difference grids. Zbl 1079.76051 Godunov, S. K. 1 2003 Calculation of positive definite solutions of the Lyapunov equation. Zbl 0614.65046 Bulgakov, A. Ya.; Godunov, S. K. 1 1985 Über ein Problem von Minkowski. Zbl 0031.15502 Godunov, S. K. 1 1948 Study of entropy properties of a linearized version of Godunov’s method. Zbl 1453.35126 Godunov, S. K.; Denisenko, V. V.; Klyuchinskii, D. V.; Fortova, S. V.; Shepelev, V. V. 7 2020 Numerical method of quasi-isometric parametrization for two-dimensional curvilinear domains. Zbl 1451.65017 Godunov, S. K.; Zhukov, V. T.; Feodoritova, O. B. 1 2020 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. 4 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. 15 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. 6 2013 About inclusion of Maxwell’s equations into systems of relativity invariant equations. Zbl 1299.83002 Godunov, S. K. 2 2013 Thermodynamic formalization of the fluid dynamics equations for a charged dielectric in an electromagnetic field. Zbl 1274.35285 Godunov, S. K. 10 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. 9 2011 Thermodynamically consistent nonlinear model of elastoplastic Maxwell medium. Zbl 1224.74017 Godunov, S. K.; Peshkov, I. M. 22 2010 Symmetric hyperbolic equations in nonlinear elasticity theory. Zbl 1164.74360 Godunov, S. K.; Peshkov, I. M. 7 2008 On a special basis of approximate eigenvectors with local supports for an isolated narrow cluster of eigenvalues of a symmetric tridiagonal matrix. Zbl 1549.65086 Godunov, S. K.; Malyshev, A. N. 2 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. 6 2007 Spectral analysis of symplectic matrices with application to the theory of parametric resonance. Zbl 1124.65040 Godunov, S. K.; Sadkane, M. 10 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. 2 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. 8 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. 144 2003 Some new algorithms for the spectral dichotomy methods. Zbl 1035.65032 Godunov, S. K.; Sadkane, M. 10 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. 2 2002 Numerical determination of a canonical form of a symplectic matrix. Zbl 1071.65049 Godunov, S. K.; Sadkane, Miloud 6 2001 Smoothing techniques and computation of invariant subspaces of elliptic operators. Zbl 0964.65122 Godunov, S. K.; Sadkane, M.; Robbé, M. 1 2000 Reminiscences about difference schemes. Zbl 0936.65106 Godunov, Sergei Konstantinovich 33 1999 Modern aspects of linear algebra. Transl. from the Russian by Tamara Rozhkovskaya. Zbl 0899.15004 Godunov, S. K. 49 1998 Elements of continuum mechanics and conservation laws. (Элементы механики сплошных сред и законы сохранения.) Zbl 1053.74001 Godunov, S. K.; Romenskij, E. I. 21 1998 Representations of the rotation group and spherical functions. (Представления группы вращений и сферические функции.) Zbl 0936.20041 Godunov, S. K.; Mikhaĭlova, T. Yu. 7 1998 Computation of pseudospectra via spectral projectors. Zbl 0935.65035 Godunov, S. K.; Sadkane, M. 7 1998 Modern aspects of linear algebra. (Современные аспекты линейной алгебры.) Zbl 0960.15001 Godunov, S. K. 34 1997 Ordinary differential equations with constant coefficient. Transl. from the Russian by Tamara Rozhkovskaya. Zbl 0884.34001 Godunov, S. K. 23 1997 Reminiscences of difference schemes. A report from the International symposium “The Godunov type method in gas dynamics”, Michigan University (US), May 1997. (Vospominaniya o raznostnykh skhemakh. Doklad na Mezhdunarodnom simpoziume “Metod Godunova v gazovoj dinamike”. Michiganskij universitet (SShA). Maj, 1997.) Zbl 0878.76049 Godunov, S. K. 4 1997 Systems of thermodynamically coordinated laws of conservation invariant under rotations. Zbl 0891.73003 Godunov, S. K.; Mikhailova, T. Yu.; Romenskij, E. I. 22 1996 Condition number of the Krylov bases and subspaces. Zbl 0861.65042 Carpraux, J.-F.; Godunov, S. K.; Kuznetsov, S. V. 6 1996 Elliptic dichotomy of a matrix spectrum. Zbl 0865.65018 Godunov, S. K.; Sadkane, M. 6 1996 Thermodynamics, conservation laws, and symmetric forms of differential equations in mechanics of continuous media. Zbl 0875.73025 Godunov, S. K.; Romensky, E. I. 46 1995 Spectrum dichotomy and a stability criterion for sectorial operators. Zbl 0857.65042 Godunov, S. K. 3 1995 Thermodynamical foundations for special evolution differential equations of continuous media. Zbl 0863.73008 Godunov, S. K.; Romensky, E. I. 3 1995 Ordinary differential equations with constant coefficients. Vol. 1. Boundary value problems. (Обыкновенные дифференциальные уравнения с постоянными коехффициентами. Том 1. Краевые задачи.) Zbl 0912.34018 Godunov, S. K. 24 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. 6 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. 17 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. (Гарантированная точност’ решения систем линейных уравнений в евклидовых пространствах.) Zbl 0825.65001 Godunov, S. K.; Antonov, A. G.; Kirilyuk, O. P.; Kostin, V. I. 12 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 Numerical problems in questions of mathematical physics. (Vychislitel’nye problemy v zadachakh matematicheskoj fiziki.) Zbl 0788.00037 2 1992 Check of boundedness of powers of symplectic matrices with the help of averagings. Zbl 0776.65030 Godunov, S. K. 1 1992 Construction of difference networks in complex domains using quasiconformal mappings. Zbl 0731.65097 Godunov, S. K.; Romenskij, E. I.; Chumakov, G. A. 1 1990 Stability of iterations of symplectic transformations. Zbl 0686.65022 Godunov, S. K. 1 1989 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 0671.65032 Godunov, S. K. 1 1989 Guaranteed precision in the solution of systems of linear equations in Euclidean spaces. Ed. by V. A. Bulavskij. (Гарантированная точност’ решения систем линейных уравнений в евклидовых пространствах.) Zbl 0665.65022 Godunov, S. K.; Antonov, A. G.; Kirilyuk, O. P.; Kostin, V. I. 14 1988 Circular dichotomy of the matrix spectrum. (Dedicated to Sergej L’vovich Sobolev). Zbl 0662.65031 Bulgakov, A. Ya.; Godunov, S. K. 12 1988 Circular dichotomy of the matrix spectrum. Zbl 0674.65016 Bulgakov, A. Ya.; Godunov, S. K. 12 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. 54 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. 12 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. 13 1986 A problem on the dichotomy of matrix spectrum. Zbl 0637.34018 Godunov, S. K. 13 1986 Partial differential equations. (Proceedings of the international conference on partial differential equations). (Differentsial’nye uravneniya s chastnymi proiuvodnymi. (Trudy mezhdunarodnoj konferentsii po differentsial’nym uravneniyam s chastnymi proizvodnymi)). Zbl 0597.00017 2 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. 3 1985 Calculation of positive definite solutions of the Lyapunov equation. Zbl 0614.65046 Bulgakov, A. Ya.; Godunov, S. K. 1 1985 Energy integrals of hyperbolic equations in the sense of Petrovskij. Zbl 0581.35045 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 Calculating difficulties in Hurwitz problem and ways to overcome them. Zbl 0557.93020 Godunov, S. K.; Bulgakov, A. Ya. 1 1982 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. 7 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 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. 61 1979 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. 48 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. 5 1979 Hyperbolic equations of the nonlinear theory of elasticity. Zbl 0498.35054 Godunov, S. K. 19 1978 Equations of mathematical physics. (Ecuaciones de la fisica matematica.) Translated from the Russian by Juan Jose Tolosa. Zbl 0384.35001 Godunov, S. K. 5 1978 Theory of spinors and representations of the rotation group. (Teoriya spinorov i predstavlenij gruppy vrashchenij). Zbl 0552.22002 Godunov, S. K. 1 1978 Schemas aux différences. Introduction à la théorie. Traduit du russe par Irina Petrova. Zbl 0374.65002 Godunov, S. K.; Ryaben’kij, V. S. 21 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. 8 1977 A mixed problem for the wave equation. Zbl 0425.35068 Godunov, S. K.; Gordienko, V. M. 7 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. 9 1976 Anwendung einer Klasse von quasikonformen Abbildungen zur Konstruktion von Differenzennetzen in Gebieten mit krummlinigen Berandungen. Zbl 0354.65017 Belinskij, P. P.; Godunov, S. K.; Ivanov, Yu. B.; Yanenko, I. K. 3 1975 The use of moving meshes in gas-dynamical computations. Zbl 0271.76057 Godunov, S. K.; Prokopov, G. P. 26 1973 Equations de la physique mathématique. Traduit du russe par Edouard Gloukhian. Zbl 0279.35001 Godounov, S. 12 1973 Differenzenschemata. Einführung in die Theorie. (Raznostnye shemy. Vvedenie v teoriju). Lehrbuch. Zbl 0285.65003 Godunov, S. K.; Ryaben’kij, V. S. 3 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. 28 1972 Über die Verwendung beweglicher Netze in gasdynamischen Berechnungen. Zbl 0265.76071 Godunov, S. K.; Prokopov, G. P. 14 1972 A method of minimal iterations for evaluating the eigenvalues of an elliptic operator. Zbl 0258.65107 Godunov, S. K.; Prokopov, G. P. 1 1972 Über diskrete Modelle der kinetischen Boltzmann-Gleichung. Zbl 0219.35071 Godunov, S. K.; Sultangazin, U. M. 23 1971 Use of the energy integral to estimate the accuracy of approximate eigenvalues. Zbl 0232.65079 Godunov, S. K. 19 1971 Gleichungen der mathematischen Physik. (Uravnenija matematiceskoi fiziki.). Zbl 0238.35001 Godunov, S. K. 4 1971 Sur la construction des réseaux dans les domaines compliques d’une facon automatique pour les équations aux différences finies. Zbl 0304.76030 Godounov, S. K. 2 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. 3 1970 Application of the method of minimal iterations for calculation of eigenvalues of elliptic operators. Zbl 0215.27703 Godunov, S. K.; Prokopov, G. P. 2 1970 Über die Lösung der Laplaceschen Differenzgleichung. Zbl 0177.20501 Godunov, S. K.; Prokopov, G. P. 1 1969 Some self-modelling motions of an ideal gas. Zbl 0197.24402 Godunov, S. K.; Kireeva, I. L. 4 1968 ...and 22 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,873 Authors 68 Dumbser, Michael 26 Boscheri, Walter 25 Blokhin, Aleksandr Mikhaĭlovich 25 Ostapenko, Vladimir Viktorovich 24 Godunov, Sergeĭ Konstantinovich 24 Romenskii, Evgenii I. 22 Sadkane, Miloud 21 Peshkov, Ilya M. 21 Toro, Eleuterio Francisco 19 Saurel, Richard 18 Balsara, Dinshaw S. 18 Gavrilyuk, Sergey L. 16 Hérard, Jean-Marc 15 Nechepurenko, Yuri M. 14 Chugaĭnova, Anna Pavlova 14 Favrie, Nicolas 14 Maire, Pierre-Henri 14 Malyshev, Alexander N. 14 Radkevich, Evgeniĭ Vladimirovich 14 Wang, Zhijian 13 Abgrall, Rémi 13 Glaister, Paul 13 Kovyrkina, Olyana A. 13 Loubère, Raphaël 13 Men’shov, Igor S. 13 Zlotnik, Alexander A. 12 Kulikov, Igor M. 12 Li, Jiequan 11 Kulikovskiĭ, Andreĭ Gennad’evich 11 Kurganov, Alexander 11 Munz, Claus-Dieter 11 Nkonga, Boniface 11 Ruggeri, Tommaso 11 Shu, Chi-Wang 10 Busto, Saray 10 Demidenko, Gennadiĭ Vladimirovich 10 Lukáčová-Medviďová, Mária 9 Després, Bruno 9 Dukhnovskiĭ, Sergeĭ Anatol’evich 9 Gaburro, Elena 9 Kawashima, Shuichi 9 Rogov, Boris V. 9 Tishkin, Vladimir Fëdorovich 9 Vedenyapin, Victor V. 9 Xiao, Feng 8 Abakumov, M. V. 8 Chiocchetti, Simone 8 Gallouët, Thierry 8 Herty, Michael Matthias 8 Kuzmin, Dmitri 8 Murillo, Javier 8 Seguin, Nicolas 8 Tadmor, Eitan 8 Tavelli, Maurizio 8 Thompson, Joe F. 8 Titarev, Vladimir A. 8 Tkachev, Dmitriĭ Leonidovich 7 Belykh, Vladimir Nikitich 7 Bragin, Michael D. 7 Burton, Donald E. 7 Drikakis, Dimitris 7 Fortova, S. V. 7 Goatin, Paola 7 Grygorenko, Yaroslav Mykhaĭlovych 7 Heuzé, Thomas 7 Ladonkina, Marina Evgen’evna 7 Morgan, Nathaniel R. 7 Qiu, Jianxian 7 Seibold, Benjamin 7 Shu, Chang 7 Tian, Baolin 7 Zeidan, Dia 6 Adzhiev, S. Z. 6 Barsukow, Wasilij 6 Chen, Gui-Qiang G. 6 Demyanko, Kirill V. 6 Freistühler, Heinrich 6 Garcia-Navarro, Pilar 6 Gassner, Gregor J. 6 Hidalgo, Arturo 6 Jia, Zupeng 6 Jódar Sanchez, Lucas Antonio 6 Kabanikhin, Sergeĭ Igorevich 6 Klingenberg, Christian 6 Malyarenko, Anatoliy A. 6 Mastin, C. 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