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Goloviznin Vasilii Mikhailovich

Publications in Math-Net.Ru

  1. The CABARET scheme for a relaxation approximation of scalar hyperbolic conservation laws

    Mat. Model., 37:6 (2025),  3–16
  2. Explicit numerical algorithm for non-hydrostatic fluid dynamics equations based on the CABARET scheme

    Mat. Model., 35:5 (2023),  62–86
  3. Numerical modelling of three-dimensional variable-density flows by the multilayer hydrostatic model based on the CABARET scheme

    Mat. Model., 35:3 (2023),  79–92
  4. Numerical simulation of atmospheric electricity problem with unknown ionosphere potential

    Num. Meth. Prog., 24:3 (2023),  305–315
  5. Explicit-implicit scheme CABARETI–NH for the equations of a weakly compressible fluid dynamics

    Num. Meth. Prog., 24:2 (2023),  152–169
  6. Simulating the dynamics of a fluid with a free surface in a gravitational field by a CABARET method

    Mathematical notes of NEFU, 29:4 (2022),  77–94
  7. Conservative-characteristic method for solving hyperbolic systems of equations on triangular computational grids

    Num. Meth. Prog., 23:4 (2022),  365–378
  8. Interpolatory conservative-characteristic scheme with improved dispersion properties for computational fluid dynamics

    Zh. Vychisl. Mat. Mat. Fiz., 62:11 (2022),  1868–1882
  9. Monolithic balance-characteristic method for solving problems of interaction of liquid and gas with deformable objects

    Mat. Model., 33:10 (2021),  65–82
  10. Dissipative and dispersive properties of finite difference schemes for the linear transport equation on the $4\times3$ meta-template

    Mat. Model., 33:6 (2021),  45–58
  11. Direct simulation of thermoacoustic instability in gas generators using “CABARET” scheme

    Mat. Model., 33:2 (2021),  3–19
  12. CABARET scheme with improved dispersion properties for systems of linear hyperbolic-type differential equations

    Num. Meth. Prog., 22:1 (2021),  67–76
  13. Balance&characteristic finite difference schemes for the equations of the parabolic type

    Mat. Model., 32:4 (2020),  94–106
  14. LES-simulation of heat transfer in a turbulent pipe flow with lead coolant at different Reynolds numbers

    Mat. Model., 30:7 (2018),  29–46
  15. New generation algorithms for computational fluid dynamics

    Zh. Vychisl. Mat. Mat. Fiz., 58:8 (2018),  20–29
  16. Balance-characteristic scheme as applied to the shallow water equations over a rough bottom

    Zh. Vychisl. Mat. Mat. Fiz., 57:7 (2017),  1142–1160
  17. Implicit and time reversible CABARET schemes for quasilinear shallow water equations

    Num. Meth. Prog., 17:4 (2016),  402–414
  18. Time reversibility and stream correction in the CABARET scheme for the two-dimensional equation of convective transport

    Num. Meth. Prog., 17:4 (2016),  393–401
  19. An approximation algorithm for the treatment of sound points in the CABARET scheme

    Num. Meth. Prog., 17:2 (2016),  166–176
  20. Parameter-free method for computing the turbulent flow in a plane channel in a wide range of Reynolds numbers

    Zh. Vychisl. Mat. Mat. Fiz., 55:9 (2015),  1545–1558
  21. New two-level leapfrog scheme for modeling the stochastic Landau–Lifshitz equations

    Zh. Vychisl. Mat. Mat. Fiz., 54:2 (2014),  298–317
  22. Generalization of CABARET scheme for two-dimensional orthogonal computational grid

    Mat. Model., 25:7 (2013),  103–136
  23. CABARET scheme in velocity-pressure formulation for two-dimensional incompressible fluids

    Zh. Vychisl. Mat. Mat. Fiz., 53:6 (2013),  898–913
  24. On some approach to direct numerical simulation of two-phase flows

    Keldysh Institute preprints, 2012, 073, 36 pp.
  25. Cabaret scheme in “velocity–vorticity” formulation for numerical modeling of ideal fluid motion in two-dimensional domain

    Mat. Model., 24:5 (2012),  45–60
  26. High-resolution numerical algorithm for one-dimensional scalar conservation laws with a constrained solution

    Zh. Vychisl. Mat. Mat. Fiz., 52:3 (2012),  461–471
  27. Direct simulation of interacting vortex pairs

    Mat. Model., 23:11 (2011),  21–32
  28. Ñabaret scheme for the two-dimensional incompressible fluid in terms of «stream function – vorticity»

    Mat. Model., 23:9 (2011),  89–104
  29. Solution of the heat equation on unstructured curvilinear grids

    Zh. Vychisl. Mat. Mat. Fiz., 51:11 (2011),  2075–2083
  30. The principle of minimum of partial local variations for determining convective flows in the numerical solution of one-dimensional nonlinear scalar hyperbolic equations

    Zh. Vychisl. Mat. Mat. Fiz., 51:5 (2011),  881–897
  31. CABARET scheme for the numerical solution of aeroacoustics problems: Generalization to linearized one-dimensional Euler equations

    Zh. Vychisl. Mat. Mat. Fiz., 49:12 (2009),  2265–2280
  32. Numerical methods for some one-dimensional equations with fractional derivatives

    Differ. Uravn., 42:7 (2006),  907–913
  33. Balanced characteristic method for 1D systems of hyperbolic conservation laws in eulerian representation

    Mat. Model., 18:11 (2006),  14–30
  34. Balancing characteristic schemes on piecewise constant initial data. Jumping transfer

    Mat. Model., 15:10 (2003),  71–83
  35. Balance-characteristic schemes with separated conservative and flux variables

    Mat. Model., 15:9 (2003),  29–48
  36. A variation approach to the construction of finite-difference scheme with space-split time derivative for the Korteweg-de Vries equation

    Mat. Model., 12:4 (2000),  105–116
  37. Nonlinear correction of Cabaret scheme

    Mat. Model., 10:12 (1998),  107–123
  38. Some characteristics of finite difference scheme “cabaret”

    Mat. Model., 10:1 (1998),  101–116
  39. Finite difference approximation of convective transport equation with space splitting time derivative

    Mat. Model., 10:1 (1998),  86–100
  40. Suppression of detonation in hydrogen-air mixture

    TVT, 33:3 (1995),  452–457
  41. Computation of flows in stratified liquids and gases with free upper boundary

    Mat. Model., 4:9 (1992),  101–113
  42. The mathematical models of the plastics injection moldingfor the thin-walled parts

    Mat. Model., 4:5 (1992),  18–30
  43. Heat safety of buried accident objects of atomic power industry

    Dokl. Akad. Nauk SSSR, 313:2 (1990),  333–336
  44. Modelling of the propagation of laser emission in plasma in the geometric optic approximation

    Mat. Model., 1:5 (1989),  1–10
  45. The method of “factored thermal displacement” for the efficient solution of the heat equation on nonorthogonal nets

    Differ. Uravn., 23:7 (1987),  1143–1154
  46. EFFECT OF SPATIAL EMISSION STRUCTURE ON DYNAMICS OF LIGHT-DETONATION WAVES IN THE FOCUSED RAY

    Zhurnal Tekhnicheskoi Fiziki, 57:7 (1987),  1427–1429
  47. Completely conservative locally barotropic difference schemes of gas dynamics in mixed Euler–Lagrange variables

    Differ. Uravn., 21:7 (1985),  1144–1155
  48. Completely conservative correction of fluxes in problems of gas dynamics

    Dokl. Akad. Nauk SSSR, 274:3 (1984),  524–528
  49. Stability of variational-difference schemes of gas dynamics

    Differ. Uravn., 20:7 (1984),  1173–1181
  50. A class of completely conservative difference schemes of magnetohydrodynamics in mixed Euler-Lagrange variables

    Zh. Vychisl. Mat. Mat. Fiz., 24:4 (1984),  520–533
  51. Super-implicit difference schemes of gas dynamics

    Differ. Uravn., 19:7 (1983),  1186–1197
  52. The method of dynamic potentials for the numerical modeling of nonstationary problems of hydrodynamics with free boundaries

    Differ. Uravn., 19:5 (1983),  870–878
  53. Solution of nonstationary problems of heat conduction by the variational-difference method

    Differ. Uravn., 19:5 (1983),  860–869
  54. A method of constructing computational meshes in domains with curvilinear boundaries

    Zh. Vychisl. Mat. Mat. Fiz., 23:5 (1983),  1245–1249
  55. Two-dimensional difference schemes of magnetohydrodynamics on triangle Lagrange meshes

    Zh. Vychisl. Mat. Mat. Fiz., 22:4 (1982),  926–942
  56. A method for introducing artificial dissipation into variation-difference schemes of magnetohydrodynamics

    Zh. Vychisl. Mat. Mat. Fiz., 22:1 (1982),  144–150
  57. Locally barotropic difference schemes of gas dynamics

    Differ. Uravn., 17:7 (1981),  1228–1238
  58. Three-dimensional differential-difference schemes of magnetohydrodynamics

    Differ. Uravn., 17:7 (1981),  1222–1227
  59. A variational principle for obtaining magnetohydrodynamic equations in mixed eulerian-lagrangian variables

    Zh. Vychisl. Mat. Mat. Fiz., 21:2 (1981),  409–422
  60. Variational schemes of magnetohydrodynamics in an arbitrary coordinate system

    Zh. Vychisl. Mat. Mat. Fiz., 21:1 (1981),  54–68
  61. The use of the least action principle for the construction of discrete mathematical models in magnetohydrodynamics

    Dokl. Akad. Nauk SSSR, 246:5 (1979),  1083–1087
  62. A variational approach to constructing finite-difference mathematical models in hydrodynamics

    Dokl. Akad. Nauk SSSR, 235:6 (1977),  1285–1288

  63. On the 75th birthday of professor Anton Pavlovich Favorskii

    Zh. Vychisl. Mat. Mat. Fiz., 55:8 (2015),  1283–1291

© Steklov Math. Inst. of RAS, 2026