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Godunov Sergei Konstantinovich

Publications in Math-Net.Ru

  1. Study of entropy properties of a linearized version of Godunov's method

    Zh. Vychisl. Mat. Mat. Fiz., 60:4 (2020),  639–651
  2. Numerical method of quasi-isometric parametrization for two-dimensional curvilinear domains

    Zh. Vychisl. Mat. Mat. Fiz., 60:4 (2020),  578–589
  3. Experimental studies of difference gas dynamics models with shock waves

    Zh. Vychisl. Mat. Mat. Fiz., 58:8 (2018),  5–19
  4. Computation of discontinuous solutions of fluid dynamics equations with entropy nondecrease guarantee

    Zh. Vychisl. Mat. Mat. Fiz., 54:6 (2014),  1008–1021
  5. Numerical and experimental simulation of wave formation during explosion welding

    Trudy Mat. Inst. Steklova, 281 (2013),  16–31
  6. About inclusion of Maxwell’s equations in systems relativistic of the invariant equations

    Zh. Vychisl. Mat. Mat. Fiz., 53:8 (2013),  1356–1359
  7. Thermodynamic formalization of the fluid dynamics equations for a charged dielectric in an electromagnetic field

    Zh. Vychisl. Mat. Mat. Fiz., 52:5 (2012),  916–929
  8. Experimental analysis of convergence of the numerical solution to a generalized solution in fluid dynamics

    Zh. Vychisl. Mat. Mat. Fiz., 51:1 (2011),  96–103
  9. A thermodynamically consistent nonlinear model of an elastoplastic Maxwell medium

    Zh. Vychisl. Mat. Mat. Fiz., 50:8 (2010),  1481–1498
  10. Symmetrization of the nonlinear system of gas dynamics equations

    Sibirsk. Mat. Zh., 49:5 (2008),  1046–1053
  11. On a special basis of approximate eigenvectors with local supports for an isolated narrow cluster of eigenvalues of a symmetric tridiagonal matrix

    Zh. Vychisl. Mat. Mat. Fiz., 48:7 (2008),  1156–1166
  12. Symmetric hyperbolic equations in the nonlinear elasticity theory

    Zh. Vychisl. Mat. Mat. Fiz., 48:6 (2008),  1034–1055
  13. On the difference approximations of overdetermined hyperbolic equations of classical mathematical physics

    Zh. Vychisl. Mat. Mat. Fiz., 47:3 (2007),  445–459
  14. Experiments on using the resonance effect for spectral analysis of finite-dimensional skew-symmetric operators

    Sib. Zh. Vychisl. Mat., 9:2 (2006),  123–136
  15. A method for calculating invariant subspaces of symmetric hyperbolic equations

    Zh. Vychisl. Mat. Mat. Fiz., 46:6 (2006),  1019–1031
  16. An algorithm of spectrum analysis for symmetric hyperbolic equations

    Keldysh Institute preprints, 2005, 091, 37 pp.
  17. New version of the thermodynamically consistent model of Maxwell viscosity

    Prikl. Mekh. Tekh. Fiz., 45:6 (2004),  3–13
  18. Galilean-invariant and thermodynamically consistent model of a composite isotropic medium

    Prikl. Mekh. Tekh. Fiz., 45:5 (2004),  3–12
  19. The Clebsch–Gordan coefficients with respect to various bases for unitary and orthogonal representations of $SU(2)$ and $SO(3)$

    Sibirsk. Mat. Zh., 45:3 (2004),  540–557
  20. On the ideas, underlying the construction of difference grids

    Zh. Vychisl. Mat. Mat. Fiz., 43:6 (2003),  787–789
  21. Complicated structures of Galilean-invariant conservation laws

    Prikl. Mekh. Tekh. Fiz., 43:2 (2002),  3–21
  22. The simplest Galilean-invariant and thermodynamically consistent conservation laws

    Prikl. Mekh. Tekh. Fiz., 43:1 (2002),  3–16
  23. Bounds for the convergence rate of Newton's method for calculating invariant subspaces

    Zh. Vychisl. Mat. Mat. Fiz., 42:6 (2002),  771–779
  24. Partition of the spectrum by Hermite forms and one-dimensional spectral matrix portraits

    Sib. Zh. Vychisl. Mat., 4:4 (2001),  353–360
  25. Numerical determination of a canonical form of a symplectic matrix

    Sibirsk. Mat. Zh., 42:4 (2001),  749–770
  26. On the annular separation of a matrix spectrum

    Zh. Vychisl. Mat. Mat. Fiz., 40:7 (2000),  980–985
  27. Bounds for the principal and stiff components based on the integral performance criterion for dichotomy

    Zh. Vychisl. Mat. Mat. Fiz., 40:1 (2000),  35–42
  28. The Krylov space and the Kalman equation

    Sib. Zh. Vychisl. Mat., 1:1 (1998),  5–10
  29. Systems of thermodynamically coordinated laws of conservation invariant under rotations

    Sibirsk. Mat. Zh., 37:4 (1996),  790–806
  30. Spectrum dichotomy and a stability criterion for sectorial operators

    Sibirsk. Mat. Zh., 36:6 (1995),  1328–1335
  31. Hausdorff sets of matrices and an estimate for the angle between invariant subspaces

    Sibirsk. Mat. Zh., 36:3 (1995),  531–533
  32. Estimates for the convergence of the orthogonal-power method

    Trudy Inst. Mat. SO RAN, 26 (1994),  20–41
  33. Quasi-isometric parametrization of a curvilinear quadrangle and a metric of constant curvature

    Trudy Inst. Mat. SO RAN, 26 (1994),  3–19
  34. An estimate for Green's matrix of a Hamiltonian system in the optimal control problem

    Sibirsk. Mat. Zh., 34:4 (1993),  70–80
  35. Norms of solutions to the Lur'e–Riccati matrix equations as criteria of the quality of stabilizability and detectability

    Trudy Inst. Mat. SO RAN, 22 (1992),  3–22
  36. Verification of boundedness for the powers of symplectic matrices with the help of averaging

    Sibirsk. Mat. Zh., 33:6 (1992),  3–13
  37. Construction of difference grids in complex domains by means of quasiconformal mappings

    Trudy Inst. Mat. Sib. Otd. AN SSSR, 18 (1990),  75–83
  38. Criteria for the convergence of orthogonal-power methods of the spectral analysis of matrices

    Trudy Inst. Mat. Sib. Otd. AN SSSR, 15 (1989),  4–12
  39. Quantitative characteristics of the main concepts of linear control theory

    Prikl. Mekh. Tekh. Fiz., 30:2 (1989),  49–52
  40. Singular numbers of a boundary-value problem on the halfline for a linear system of ordinary differential equations

    Sibirsk. Mat. Zh., 30:4 (1989),  5–12
  41. Stability of iterations of symplectic transformations

    Sibirsk. Mat. Zh., 30:1 (1989),  70–81
  42. Circular dichotomy of a matrix spectrum

    Sibirsk. Mat. Zh., 29:5 (1988),  59–70
  43. The problem of the dichotomy of the spectrum of a matrix

    Sibirsk. Mat. Zh., 27:5 (1986),  24–37
  44. Allowance for computational errors in a variant of the conjugate gradient method

    Trudy Inst. Mat. Sib. Otd. AN SSSR, 6 (1985),  38–55
  45. Calculation of positive definite solutions of the Lyapunov equation

    Trudy Inst. Mat. Sib. Otd. AN SSSR, 6 (1985),  17–38
  46. Calculation of the eigenvector of a symmetric tridiagonal matrix

    Sibirsk. Mat. Zh., 26:5 (1985),  71–85
  47. The Green matrix of the boundary-value problem for ordinary differential equations

    Uspekhi Mat. Nauk, 39:1(235) (1984),  39–76
  48. Reduction of a hyperbolic equation to a symmetric hyperbolic system in the case of two space variables

    Sibirsk. Mat. Zh., 21:6 (1980),  3–20
  49. Equations of the linear theory of elasticity with point Maxwellian sources of stress relaxation

    Prikl. Mekh. Tekh. Fiz., 18:4 (1977),  140–152
  50. Influence of material viscosity on the jet formation process during collisions of metal plates

    Fizika Goreniya i Vzryva, 11:1 (1975),  3–18
  51. Use of relaxation viscoelastic model in calculating uniaxial homogeneous strains and refining the interpolation equations for Maxwellian viscosity

    Prikl. Mekh. Tekh. Fiz., 16:5 (1975),  162–167
  52. Application of a certain class of quasi-conformal mappings to the construction of difference grids in domains with curvilinear boundaries

    Zh. Vychisl. Mat. Mat. Fiz., 15:6 (1975),  1499–1511
  53. Shock structure in a viscoelastic medium with a nonlinear dependence of the Maxwellian viscosity on the parameters of the material

    Prikl. Mekh. Tekh. Fiz., 15:5 (1974),  101–108
  54. Interpolation formulas for Maxwell viscosity of certain metals as a function of shear-strain intensity and temperature

    Prikl. Mekh. Tekh. Fiz., 15:4 (1974),  114–118
  55. Equations of state of the elastic energy of metals in the case of a nonspherical strain tensor

    Prikl. Mekh. Tekh. Fiz., 15:2 (1974),  123–128
  56. On jet formation in collisions of metals

    Dokl. Akad. Nauk SSSR, 202:5 (1972),  1024–1027
  57. Nonstationary equations of nonlinear elasticity theory in Eulerian coordinates

    Prikl. Mekh. Tekh. Fiz., 13:6 (1972),  124–144
  58. The utilization of movable grids in gas dynamic calculations

    Zh. Vychisl. Mat. Mat. Fiz., 12:2 (1972),  429–440
  59. Investigation of the viscosity of metals in high-velocity collisions

    Fizika Goreniya i Vzryva, 7:1 (1971),  135–141
  60. Wave formation in explosive welding

    Prikl. Mekh. Tekh. Fiz., 12:3 (1971),  63–72
  61. On discrete models of the kinetic Boltzmann equation

    Uspekhi Mat. Nauk, 26:3(159) (1971),  3–51
  62. The use of energy integrals for estimating the accuracy of approximate eigenvalues

    Zh. Vychisl. Mat. Mat. Fiz., 11:5 (1971),  1322–1326
  63. The dissipativity of V. S. Vladimirov's boundary conditions for a symmetric system of the method of spherical harmonics

    Zh. Vychisl. Mat. Mat. Fiz., 11:3 (1971),  688–704
  64. An application of the method of minimal iterations for the computation of eigenvalues of elliptic operators

    Zh. Vychisl. Mat. Mat. Fiz., 10:5 (1970),  1180–1190
  65. Shock wave incidence on a V-shaped cavity

    Prikl. Mekh. Tekh. Fiz., 10:6 (1969),  57–61
  66. The solution of Laplace's difference equation

    Zh. Vychisl. Mat. Mat. Fiz., 9:2 (1969),  462–468
  67. The expression of V. S. Vladimirov's functional through spherical harmonics in tensor form ($P_{3}$-approximation)

    Zh. Vychisl. Mat. Mat. Fiz., 8:4 (1968),  824–841
  68. Some self-modelling motions of an ideal gas

    Zh. Vychisl. Mat. Mat. Fiz., 8:2 (1968),  374–392
  69. The solution of differential equations by means of curvilinear difference nets

    Zh. Vychisl. Mat. Mat. Fiz., 8:1 (1968),  28–46
  70. Computations ofj conformal mappings and the construction of difference nets

    Zh. Vychisl. Mat. Mat. Fiz., 7:5 (1967),  1031–1059
  71. The method of spherical harmonics in the problem of critical paramaters

    Zh. Vychisl. Mat. Mat. Fiz., 4:3 (1964),  473–484
  72. A numerical method for calculating the propagation of linear waves in open channels, and an application to the flood problem

    Dokl. Akad. Nauk SSSR, 151:3 (1963),  525–527
  73. Spectral stability criteria for boundary-value problems for non-self-adjoint difference equations

    Uspekhi Mat. Nauk, 18:3(111) (1963),  3–14
  74. Canonical forms of systems of ordinary linear difference equations with constant coefficients

    Zh. Vychisl. Mat. Mat. Fiz., 3:2 (1963),  211–222
  75. Non-uniqueness for parabolic systems

    Dokl. Akad. Nauk SSSR, 145:3 (1962),  498–500
  76. The problem of a generalized solution in the theory of quasilinear equations and in gas dynamics

    Uspekhi Mat. Nauk, 17:3(105) (1962),  147–158
  77. A method of orthogonal successive substitution for the solution of systems of difference equations

    Zh. Vychisl. Mat. Mat. Fiz., 2:6 (1962),  972–982
  78. On difference schemes of the second order of accuracy for multidimensional problems

    Zh. Vychisl. Mat. Mat. Fiz., 2:4 (1962),  706–708
  79. Difference methods for the numerical solution of problems in gas dynamics

    Zh. Vychisl. Mat. Mat. Fiz., 2:1 (1962),  3–14
  80. An interesting class of quasi-linear systems

    Dokl. Akad. Nauk SSSR, 139:3 (1961),  521–523
  81. An instance of nonuniqueness for a nonlinear parabolic system

    Dokl. Akad. Nauk SSSR, 136:6 (1961),  1281–1282
  82. Non-unique “blurrings” of discontinuities in solutions of quasilinear systems

    Dokl. Akad. Nauk SSSR, 136:2 (1961),  272–273
  83. Numerical solution of boundary-value problems for systems of linear ordinary differential equations

    Uspekhi Mat. Nauk, 16:3(99) (1961),  171–174
  84. A computational scheme for two-dimensional nonstationary problems of gas dynamics and calculation of the flow from a shock wave approaching a stationary state

    Zh. Vychisl. Mat. Mat. Fiz., 1:6 (1961),  1020–1050
  85. Error estimates for the approximate solutions of the simplest equations in gas dynamics

    Zh. Vychisl. Mat. Mat. Fiz., 1:4 (1961),  622–637
  86. On the concept of generalized solution

    Dokl. Akad. Nauk SSSR, 134:6 (1960),  1279–1282
  87. Themodynamics of gases and differential equations

    Uspekhi Mat. Nauk, 14:5(89) (1959),  97–116
  88. A difference method for numerical calculation of discontinuous solutions of the equations of hydrodynamics

    Mat. Sb. (N.S.), 47(89):3 (1959),  271–306
  89. Difference schemes for multidimensional problems

    Dokl. Akad. Nauk SSSR, 115:3 (1957),  431–433
  90. Difference method of computation of shock waves

    Uspekhi Mat. Nauk, 12:1(73) (1957),  176–177
  91. On uniqueness of the solution of hydrodynamic equations

    Mat. Sb. (N.S.), 40(82):4 (1956),  467–478

  92. Viktor Solomonovich Ryaben'kii and his school (on his 90th birthday)

    Uspekhi Mat. Nauk, 70:6(426) (2015),  213–236
  93. Boris Nikolaevich Chetverushkin (on his 70th birthday)

    Uspekhi Mat. Nauk, 69:2(416) (2014),  203–207
  94. Yurii Leonidovich Ershov (on his seventieth birthday)

    Uspekhi Mat. Nauk, 66:1(397) (2011),  201–204
  95. In memory of Radiĭ Petrovich Fedorenko (1930–2010)

    Zh. Vychisl. Mat. Mat. Fiz., 50:8 (2010),  1532–1536
  96. Aleksei Valerievich Zabrodin (1933–2008)

    Zh. Vychisl. Mat. Mat. Fiz., 49:7 (2009),  1340–1344
  97. Sergei L'vovich Sobolev

    Sibirsk. Mat. Zh., 44:5 (2003),  953–960
  98. Aleksandr Alekseevich Borovkov (on the occasion of his seventieth birthday)

    Sibirsk. Mat. Zh., 42:2 (2001),  243–248
  99. Mikhail Alekseevich Lavrent'ev (on the centenary of his birth)

    Sibirsk. Mat. Zh., 41:5 (2000),  969–983
  100. Yurii Leonidovich Ershov (on the occasion of his sixtieth birthday)

    Sibirsk. Mat. Zh., 41:2 (2000),  243–246
  101. Sergei L'vovich Sobolev (1908–1989)

    Sibirsk. Mat. Zh., 39:4 (1998),  723–729
  102. On the fortieth anniversary of the Siberian Branch of the Academy of Sciences

    Sibirsk. Mat. Zh., 38:3 (1997),  483–484
  103. Gurii Ivanovich Marchuk (on the occasion of his seventieth birthday)

    Sibirsk. Mat. Zh., 36:3 (1995),  483–487
  104. Viktor Solomonovich Ryaben'kii (on his seventieth birthday)

    Uspekhi Mat. Nauk, 48:4(292) (1993),  248–250
  105. Remembrances of Sergei L'vovich Sobolev

    Sibirsk. Mat. Zh., 30:3 (1989),  214–216
  106. M. G. Salvadori, Numerical methods in engineering (review)

    Uspekhi Mat. Nauk, 11:5(71) (1956),  257–258

© Steklov Math. Inst. of RAS, 2024