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[2] S. K. Godunov, Raznostnye metody resheniya uravnenii gazovoi dinamiki, Lektsii dlya studentov NGU, Izd-vo Novosib. un-ta, Novosibirsk, 1962, 96 pp.

[3] S. K. Godunov, “Raznostnyi metod chislennogo rascheta razryvnykh reshenii uravnenii gidrodinamiki”, Matem. sb., 47(89):3 (1959), 271–306 | MR | Zbl

[4] S. K. Godunov, Mezhdunar. simpozium “Metod Godunova v gazovoi dinamike” (Michigan. un-t, mai 1997), Nauch. kn., Novosibirsk, 1997, 40 pp.

[5] S. K. Godunov, “Reminiscences about difference schemes”, J. Comput. Phys., 153:1 (1999), 6–25 | DOI | MR | Zbl

[6] S. K. Godunov, Reminiscences about difference schemes, Preprint No 6666, INRIA, France, 2008, 24 pp. http://hal.inria.fr/docs/00/32/63/77/PDF/RR-6666.pdf

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[8] S. K. Godunov, “Termodinamika gazov i differentsialnye uravneniya”, UMN, 14:5(89) (1959), 97–116 | MR | Zbl

[9] S. K. Godunov, “On the concept of generalized solution”, Soviet Math. Dokl., 1 (1960), 1194–1196 | MR | Zbl

[10] S. K. Godunov, Yu. D. Manuzina, M. A. Nazar'eva, “Experimental analysis of convergence of the numerical solution to a generalized solution in fluid dynamics”, Comput. Math. Math. Phys., 51:1 (2011), 88–95 | DOI | MR | Zbl

[11] S. K. Godunov, “An interesting class of quasilinear systems”, Soviet Math. Dokl., 2 (1961), 947–949 | MR | Zbl

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[13] N. I. Tillyaeva, “Obobschenie modifitsirovannoi skhemy S. K. Godunova na proizvolnye neregulyarnye setki”, Uchenye zapiski TsAGI, 17:2 (1986), 18–26

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[24] S. K. Godunov, A. V. Zabrodin, G. P. Prokopov, “A computational scheme for two-dimensional nonstationary problems of gas dynamics and calculation of the flow from a shock wave approaching a stationary state”, U.S.S.R. Comput. Math. Math. Phys., 1:4 (1962), 1187–1219 | DOI | MR | Zbl

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[29] S. Godunov, A. Zabrodine, M. Ivanov, A. Kraiko, G. Prokopov, Résolution numérique des problèmes multidimensionnels de la dynamique des gaz, Mir, Moscou, 1979, 414 pp. | MR | Zbl

[30] S. K. Godunov, “On nonunique ‘blurring’ of discontinuities in solutions of quasilinear systems”, Soviet Math. Dokl., 2 (1961), 43–44 | MR | Zbl

[31] S. K. Godunov, “The problem of a generalized solution in the theory of quasilinear equations and in gas dynamics”, Russian Math. Surveys, 17:3 (1962), 145–156 | DOI | MR | Zbl

[32] S. R. de Groot, P. Mazur, Non-equilibrium thermodynamics, Series in Physics, North-Holland Publishing Co., Amsterdam; Interscience Publishers Inc., New York, 1962, x+510 pp. | MR

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[36] N. Favrie, S. L. Gavrilyuk, “Diffuse interface model for compressible fluid-compressible elastic-plastic solid interaction”, J. Comput. Phys., 231:7 (2012), 2695–2723 | DOI | MR | Zbl

[37] S. K. Godunov, “Simmetricheskaya forma uravnenii magnitnoi gidrodinamiki”, Chisl. metody mekhaniki sploshnoi sredy, 3:1 (1972), 26–34

[38] S. K. Godunov, E. I. Romensky, “Thermodynamical foundations for special evolution differential equations of continuous media”, Trends in applications of mathematics to mechanics (Lisbon, 1994), Pitman Monogr. Surveys Pure Appl. Math., 77, Longman, Harlow, 1995, 25–35 | MR | Zbl

[39] S. K. Godunov, E. I. Romensky, “Thermodynamics and wellposedness of differential equations of continuous media”, Advanced mathematics, computations and applications (AMCA-95), NCC Publisher, Novosibirsk, 1995, 126–127

[40] S. K. Godunov, E. I. Romenskii, Elementy mekhaniki sploshnykh sred i zakony sokhraneniya, Nauch. kn., Novosibirsk, 1998, 267 pp. | Zbl

[41] S. K. Godunov, E. I. Romensky, Elements of continuum mechanics and conservation laws, Kluwer Academic/Plenum Publishers, New York, 2003, viii+258 pp. | DOI | MR | Zbl

[42] S. K. Godunov, Elementy mekhaniki sploshnoi sredy, Nauka, M., 1978, 303 pp. | MR

[43] S. K. Godunov, T. Yu. Mikhailova, E. I. Romenskiĭ, “Systems of thermodynamically coordinated laws of conservation invariant under rotations”, Sib. Math. J., 37:4 (1996), 690–705 | DOI | MR | Zbl

[44] S. K. Godunov, V. M. Gordienko, “The simplest Galilean-invariant and thermodynamically consistent conservation laws”, J. Appl. Mech. Tech. Phys., 43:1 (2002), 1–12 | DOI | MR | Zbl

[45] S. K. Godunov, V. M. Gordienko, “Complicated structures of Galilean-invariant conservation laws”, J. Appl. Mech. Tech. Phys., 43:2 (2002), 175–189 | DOI | MR | Zbl

[46] S. K. Godunov, I. M. Peshkov, “Symmetrization of the nonlinear system of gas dynamics equations”, Sib. Math. J., 49:5 (2008), 829–834 | DOI | MR | Zbl

[47] S. K. Godunov, I. M. Peshkov, “Symmetric hyperbolic equations in the nonlinear elasticity theory”, Comput. Math. Math. Phys., 48:6 (2008), 975–995 | DOI | MR | Zbl

[48] S. K. Godunov, “Galilean-invariant and thermodynamically consistent model of a composite isotropic medium”, J. Appl. Mech. Tech. Phys., 45:5 (2004), 613–621 | DOI | MR | Zbl

[49] S. K. Godunov, “A new version of the thermodynamically consistent model of Maxwell viscosity”, J. Appl. Mech. Tech. Phys., 45:6 (2004), 775–783 | DOI | MR | Zbl

[50] S. K. Godunov, U. M. Sultangazin, “On discrete models of the kinetic Boltzmann equation”, Russian Math. Surveys, 26:3 (1971), 1–56 | DOI | MR | Zbl

[51] S. K. Godunov, U. M. Sultangazin, “The dissipativity of V. S. Vladimirov's boundary conditions for a symmetric system of the method of spherical harmonics”, U.S.S.R. Comput. Math. Math. Phys., 11:3 (1971), 183–202 | DOI | MR | Zbl

[52] S. K. Godunov, Les équations symétriques hyperboliques et la thermodynamique, Séminaire de mécanique des fluides numérique, Institut Henri Poincaré, 2008, 27 pp. http://www-mecaflu.cea.fr/streaming/domain20/2008/03/m348/index.html

[53] S. K. Godunov, I. M. Peshkov, “Thermodynamically consistent nonlinear model of an elastoplastic Maxwell medium”, Comput. Math. Math. Phys., 50:8 (2010), 1409–1426 | DOI | MR | Zbl

[54] S. K. Godunov, “Thermodynamic formalization of the fluid dynamics equations for a charged dielectric in an electromagnetic field”, Comput. Math. Math. Phys., 52:5 (2012), 787–799 | DOI | MR | Zbl

[55] S. K. Godunov, “About inclusion of Maxwell's equations in systems relativistic of the invariant equations”, Comput. Math. Math. Phys., 53:8 (2013), 1179–1182 | DOI | DOI | MR | Zbl

[56] S. K. Godunov, S. P. Kiselev, I. M. Kulikov, V. I. Mali, “Numerical and experimental simulation of wave formation during explosion welding”, Proc. Steklov Inst. Math., 281 (2013), 12–26 | DOI | Zbl

[57] S. K. Godunov, I. M. Kulikov, “Computation of discontinuous solutions of fluid dynamics equations with entropy nondecrease guarantee”, Comput. Math. Math. Phys., 54:6 (2014), 1012–1024 | DOI | DOI | MR | Zbl

[58] J. Frenkel, Kinetic theory of liquids, Clarendon Press, Oxford, 1946, 488 pp. | MR | Zbl

[59] S. K. Godunov, V. V. Denisenko, N. S. Kozin, N. K. Kuz'mina, “Use of relaxation viscoelastic model in calculating uniaxial homogeneous strains and refining the interpolation equations for Maxwellian viscosity”, J. Appl. Mech. Tech. Phys., 16:5 (1975), 811–814 | DOI

[60] S. K. Godunov, A. A. Deribas, N. S. Kozin, “Wave formation in explosive welding”, J. Appl. Mech. Tech. Phys., 12:3 (1971), 398–406 | DOI

[61] S. K. Godunov, A. A. Deribas, V. I. Mali, “Influence of material viscosity on the jet formation process during collisions of metal plates”, Combustion, Explosion and Shock Waves, 11:1 (1975), 1–13 | DOI

[62] S. K. Godunov, A. A. Deribas, A. V. Zabrodin, N. S. Kozin, “Hydrodynamics effects in colliding solids”, J. Comput. Phys., 5:3 (1970), 517–539 | DOI

[63] S. K. Godunov, A. A. Deribas, I. D. Zakharenko, V. I. Mali, “Investigation of the viscosity of metals in high-velocity collisions”, Combustion, Explosion and Shock Waves, 7:1 (1971), 114–118 | DOI

[64] S. K. Godunov, A. F. Demchuk, N. S. Kozin, V. I. Mali, “Interpolation formulas for Maxwell viscosity of certain metals as a function of shear-strain intensity and temperature”, J. Appl. Mech. Tech. Phys., 15:4 (1974), 526–529 | DOI

[65] S. K. Godunov, E. I. Romenskii, “Nonstationary equations of nonlinear elasticity theory in Eulerian coordinates”, J. Appl. Mech. Tech. Phys., 13:6 (1972), 868–884 | DOI

[66] S. K. Godunov, N. N. Sergeev-Al'bov, “Equations of the linear theory of elasticity with point Maxwellian sources of stress relaxation”, J. Appl. Mech. Tech. Phys., 18:4 (1977), 549–561 | DOI | MR

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[68] Fundamentals of shaped charges, eds. W. P. Walters, J. A. Zukas, John Wiley and Sons, New York, 1989, 398 pp.

[69] S. K. Godunov, N. S. Kozin, E. I. Romenskii, “Equations of state of the elastic energy of metals in the case of a nonspherical strain tensor”, J. Appl. Mech. Tech. Phys., 15:2 (1974), 246–250 | DOI

[70] S. K. Godunov, “Galilean-invariant and thermodynamically consistent model of a composite isotropic medium”, J. Appl. Mech. Tech. Phys., 45:5 (2004), 613–621 | DOI | MR | Zbl

[71] S. K. Godunov, “New version of the thermodynamically consistent model of Maxwell viscosity”, J. Appl. Mech. Tech. Phys., 45:6 (2004), 775–783 | DOI | MR | Zbl

[72] D. P. Babii, S. K. Godunov, V. T. Zhukov, O. B. Feodoritova, “On the difference approximations of overdetermined hyperbolic equations of classical mathematical physics”, Comput. Math. Math. Phys., 47:3 (2007), 427–441 | DOI | MR | Zbl

[73] S. K. Godunov, N. K. Kozin, “Shock structure in a viscoelastic medium with a nonlinear dependence of the Maxwellian viscosity on the parameters of the material”, J. Appl. Mech. Tech. Phys., 15:5 (1974), 666–671 | DOI

[74] E. I. Romenskii, “Metod rascheta dvumernykh dinamicheskikh uravnenii nelineinoi uprugoplasticheskoi sredy Maksvella”, Tr. In-ta matem. SO AN SSSR, 18, Novosibirsk, 1990, 83–100 | MR | Zbl

[75] Computational fluid dynamics 2010, Proceedings of the 6th International Conference on Computational Fluid Dynamics, ICCFD6 (St. Petersburg, Russia, July 12–16, 2010), ed. A. Kuzmin, Springer, Heidelberg, 2011, xxix+954 pp. ; http://elementy.ru/events/429132 | DOI | MR | Zbl

[76] S. K. Godunov, S. P. Kiselev, I. M. Kulikov, V. I. Mali, Modelirovanie udarno-volnovykh protsessov v uprugoplasticheskikh materialakh na razlichnykh (atomnyi, mezo i termodinamicheskii) strukturnykh urovnyakh, Izhevskii institut kompyuternykh issledovanii, M., Izhevsk, 2014, 296 pp.; http://www.rfbr.ru/rffi/ru/books/o_1920745

[77] I. A. Adamskaya, S. K. Godunov, “The method of spherical harmonics in a problem of critical paramaters”, U.S.S.R. Comput. Math. Math. Phys., 4:3 (1964), 104–120 | DOI | MR | Zbl

[78] S. K. Godunov, “A method of orthogonal successive substitution for the solution of systems of difference equations”, U.S.S.R. Comput. Math. Math. Phys., 2:6 (1963), 1151–1165 | DOI | MR | Zbl

[79] S. K. Godunov, G. P. Prokopov, “A method of minimal iterations for evaluating the eigenvalues of an elliptic operator”, U.S.S.R. Comput. Math. Math. Phys., 10:5 (1970), 141–154 | DOI | MR | Zbl

[80] C. C. Paige, The computation of eigenvalues and eigenvectors of very large sparse matrices, Ph. D. Thesis, Univ. of London, London, 1971, 161 pp.

[81] C. C. Paige, “Error analysis of the Lanczos algorithm for tridiagonalizing a symmetric matrix”, J. Inst. Math. Appl., 18:3 (1976), 341–349 | DOI | MR | Zbl

[82] S. K. Godunov, A. G. Antonov, O. P. Kiriljuk, V. I. Kostin, Guaranteed accuracy in numerucal linear algebra, Math. Appl., 252, Kluwer Acad. Publ. Group, Dordrecht, 1993, xii+535 pp. | DOI | MR | MR | Zbl | Zbl

[83] S. K. Godunov, Lektsii po sovremennym aspektam lineinoi algebry, Nauch. kn., Novosibirsk, 2002, 202 pp.

[84] S. K. Godunov, “The problem of guaranteed precision in numerical methods of linear algebra”, Amer. Math. Soc. Transl. Ser. 2, 147, Amer. Math. Soc., Providence, RI, 1990, 65–73 | MR | Zbl

[85] S. K. Godunov, Modern aspects of linear algebra, Transl. Math. Monogr., 175, Amer. Math. Soc., Providence, RI, 1998, xvi+303 pp. | MR | Zbl | Zbl

[86] S. K. Godunov, “Problem of the dichotomy of the spectrum of a matrix”, Sib. Math. J., 27:5 (1986), 649–660 | DOI | MR | Zbl

[87] A. Ya. Bulgakov, S. K. Godunov, “Circular dichotomy of the spectrum of a matrix”, Sib. Math. J., 29:5 (1988), 734–744 | DOI | MR | Zbl

[88] S. K. Godunov, A. Ya. Bulgakov, “Raschet polozhitelno opredelennykh reshenii uravneniya Lyapunova”, Tr. In-ta matem. SO AN SSSR, 6, Novosibirsk, 1985, 17–38 | MR | Zbl

[89] S. K. Godunov, “Spectral portraits of matrices and criteria of spectrum dichotomy”, Computer arithmetic and enclosure methods (Oldenburg, 1991), North-Holland, Amsterdam, 1992, 25–35 | MR | Zbl

[90] L. N. Trefethen, “Pseudospectra of matrices”, Numerical analysis 1991 (Dundee, 1991), Pitman Res. Notes Math. Ser., 260, Longman Sci. Tech., Harlow, 1992, 234–266 | MR | Zbl

[91] L. N. Trefethen, M. Embree, Spectra and pseudospectra. The behavior of nonnormal matrices and operators, Princeton Univ. Press, Princeton, NJ, 2005, xviii+606 pp. | MR | Zbl

[92] S. K. Godunov, V. S. Ryaben'kii, “Spectral stability criteria for boundary-value problems for non-self-adjoint difference equations”, Russian Math. Surveys, 18:3 (1965), 1–12 | DOI | MR | Zbl

[93] S. K. Godunov, M. Sadkane, “Elliptic dichotomy of a matrix spectrum”, Linear Algebra Appl., 248 (1996), 205–232 | DOI | MR | Zbl

[94] A. Ya. Bulgakov, “An estimate of the Green matrix, continuity of the dichotomy parameter”, Sib. Math. J., 30:1 (1989), 139–142 | DOI | MR | Zbl

[95] S. K. Godunov, M. Sadkane, “Spectral analysis of symplectic matrices with application to the theory of parametric resonance”, SIAM J. Matrix Anal. Appl., 28:4 (2006), 1083–1096 , (electronic) | DOI | MR | Zbl

[96] S. K. Godunov, V. B. Kurzin, V. G. Bunkov, M. Sadkane, “Application of a new mathematical tool ‘one-dimensional spectral portraits of matrices’ to the problem of aeroelastic vibrations of turbine-blade cascades”, Turbomachines: aeroelasticity, aeroacoustics, and unsteady aerodynamics, Torus Press Ltd., Moscow, 2006, 9–23

[97] S. K. Godunov, V. B. Kurzin, V. G. Bunkov, M. Sadkein, “Primenenie novogo matematicheskogo apparata ‘odnomernye spektralnye portrety matrits’ k resheniyu problemy aerouprugikh kolebanii reshetok lopastei”, Uchenye zapiski TsAGI, 40:6 (2009), 3–13

[98] S. K. Godunov, V. I. Kostin, A. D. Mitchenko, “Computation of an eigenvector of a symmetric tridiagonal matrix”, Sib. Math. J., 26:5 (1985), 684–696 | DOI | MR | Zbl

[99] S. K. Godunov, A. N. Malyshev, “On a special basis of approximate eigenvectors with local supports for an isolated narrow cluster of eigenvalues of a symmetric tridiagonal matrix”, Comput. Math. Math. Phys., 48:7 (2008), 1089–1099 | DOI | MR

[100] S. K. Godunov, Yu. M. Nechepurenko, “Bounds for the principal and stiff components based on the integral performance criterion for dichotomy”, Comput. Math. Math. Phys., 40:1 (2000), 32–39 | MR | Zbl

[101] S. K. Godunov, V. S. Ryabenki, Theory of difference schemes. An introduction, North-Holland Publishing Co., Amsterdam; Interscience Publishers John Wiley and Sons, New York, 1964, 289 pp. | MR | MR | Zbl | Zbl

[102] S. K. Godunov, V. S. Ryaben'kii, Difference schemes. An introduction to the underlying theory, Stud. Math. Appl., 19, North-Holland Publishing Co., Amsterdam, 1987, xviii+489 pp. | MR | MR | Zbl | Zbl

[103] P. P. Belinskii, S. K. Godunov, J. B. Ivanov, I. K. Yanenko, “The use of a class of quasiconformal mappings to construct difference nets in domains with curvilinear boundaries”, U.S.S.R. Comput. Math. Math. Phys., 15:6 (1975), 133–144 | DOI | MR | Zbl

[104] S. K. Godunov, E. I. Romenskii, G. A. Chumakov, “Postroenie raznostnykh setok v slozhnykh oblastyakh s pomoschyu kvazikonformnykh otobrazhenii”, Tr. In-ta matem. SO AN SSSR, 18, Novosibirsk, 1990, 75–83 | MR | Zbl

[105] S. K. Godunov, V. M. Gordienko, G. A. Chumakov, “Quasi-isometric parametrization of a curvilinear quadrangle and a metric of constant curvature”, Sib. Adv. Math., 5:2 (1995), 48–67 | MR | MR | Zbl

[106] S. K. Godunov, V. M. Gordienko, G. A. Chumakov, “Variational principle for 2-D regular quasi-isometric grid generation”, Int. J. Comput. Fluid Dyn., 5:1-2 (1995), 99–118 | DOI

[107] S. K. Godunov, O. B. Feodoritova, V. T. Zhukov, “On one class of quasi-isometric grids”, Advances in grid generation, Nova Sci. Publ., New York, 2007, 53–69 | MR | Zbl

[108] Godunov Sergei Konstantinovich: bibliograficheskii ukazatel, Sost. M. L. Konovodchenko, 2-e izd., pererab. i dop., ed. V. N. Belykh, Izd-vo In-ta matem., Novosibirsk, 2009, 77 pp.

[109] H.-O. Kreiss, “Initial boundary value problems for hyperbolic systems”, Commun. Pure Appl. Math., 23 (1970), 277–298 | DOI | MR | Zbl | Zbl

[110] R. Sakamoto, “Mixed problems for hyperbolic equations. I, II”, J. Math. Kyoto Univ., 10 (1970), 349–373, 403–417 | MR | MR | MR | Zbl | Zbl

[111] S. K. Godunov, Uravneniya matematicheskoi fiziki, Ucheb. posobie dlya un-tov, Nauka, M., 1971, 416 pp. ; S. Godounov, Eq́uations de la physique mathématique, Mir, Moscou, 1973, 452 pp. ; S. K. Godunov, Ecuaciones de la física matemática, Mir, Moscú, 1978, 478 pp. ; S. K. Godunow, Równania fizyki matematycznej, Wydawnictwa Naukowo-Techniczne, Warszawa, 1975, 467 СЃ. | MR | Zbl | MR | Zbl | Zbl | MR

[112] S. K. Godunov, Uravneniya matematicheskoi fiziki, Ucheb. posobie dlya un-tov, 2-e izd., ispr. i dop., Nauka, M., 1979, 391 pp. | MR

[113] S. K. Godunov, V. M. Gordienko, “Smeshannaya zadacha dlya volnovogo uravneniya”, Differentsialnye uravneniya s chastnymi proizvodnymi, Tr. ceminara S. L. Soboleva, 2, Izd-vo In-ta matem. SO AN SSSR, Novosibirsk, 1977, 5–31 | MR | Zbl

[114] S. K. Godunov, “Smeshannaya zadacha dlya giperbolicheskikh sistem uravnenii”, Nelineinye volny deformatsii, Materialy simpoziuma, v. 1, In-t kibernetiki AN ESSR, Tallin, 1978, 39–48

[115] S. K. Godunov, V. I. Kostin, “Reduction of a hyperbolic equation to a symmetric hyperbolic system in the case of two space variables”, Sib. Math. J., 21:6 (1980), 755–768 | DOI | MR | Zbl

[116] S. K. Godunov, “Integraly energii uravnenii giperbolicheskikh po Petrovskomu”, Comment. Math. Univ. Carolin., 26:1 (1985), 41–74 | MR | Zbl

[117] A. M. Blokhin, Integraly energii v zadache ob ustoichivosti udarnoi volny, Izd-vo In-ta matem. SO AN SSSR, Novosibirsk, 1982, 176 pp. | Zbl

[118] V. M. Gordienko, “Un problème mixte pour l'équation vectorielle des ondes: cas de dissipation de l'énergie; cas mal posés”, C. R. Acad. Sci. Paris Sér. A-B, 288:10 (1979), A547–A550 | MR | Zbl

[119] V. M. Gordienko, “Symmetrization of a mixed problem for a hyperbolic equation of second order with two spatial variables”, Sib. Math. J., 22:2 (1981), 231–248 | DOI | MR | Zbl

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