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Publications in Math-Net.Ru |
Citations |
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2023 |
1. |
V. Goloviznin, Petr Mayorov, Pavel Mayorov, A. Solovjev, N. Afanasiev, “Explicit numerical algorithm for non-hydrostatic fluid dynamics equations based on the CABARET scheme”, Matem. Mod., 35:5 (2023), 62–86 ; Math. Models Comput. Simul., 15:6 (2023), 1008–1023 |
2. |
V. M. Goloviznin, Pavel A. Mayorov, Petr A. Mayorov, A. V. Solovjev, “Numerical modelling of three-dimensional variable-density flows by the multilayer hydrostatic model based on the CABARET scheme”, Matem. Mod., 35:3 (2023), 79–92 ; Math. Models Comput. Simul., 15:5 (2023), 832–841 |
3. |
I. G. Mileshin, V. M. Goloviznin, M. M. Khapaev, “Numerical simulation of atmospheric electricity problem with unknown ionosphere potential”, Num. Meth. Prog., 24:3 (2023), 305–315 |
4. |
V. M. Goloviznin, P. A. Maiorov, N. A. Afanasiev, P. A. Maiorov, A. V. Solov'ev, “Explicit-implicit scheme CABARETI–NH for the equations of a weakly compressible fluid dynamics”, Num. Meth. Prog., 24:2 (2023), 152–169 |
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2022 |
5. |
N. A. Afanasiev, V. M. Goloviznin, P. A. Maiorov, A. V. Solov'ev, “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 |
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6. |
V. M. Goloviznin, D. Yu. Gorbachev, N. A. Afanasiev, “Conservative-characteristic method for solving hyperbolic systems of equations on triangular computational grids”, Num. Meth. Prog., 23:4 (2022), 365–378 |
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7. |
N. A. Afanasiev, N. È. Shagirov, V. M. Goloviznin, “Interpolatory conservative-characteristic scheme with improved dispersion properties for computational fluid dynamics”, Zh. Vychisl. Mat. Mat. Fiz., 62:11 (2022), 1868–1882 ; Comput. Math. Math. Phys., 62:11 (2022), 1885–1899 |
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2021 |
8. |
V. M. Goloviznin, N. A. Afanasiev, “Monolithic balance-characteristic method for solving problems of interaction of liquid and gas with deformable objects”, Matem. Mod., 33:10 (2021), 65–82 ; Math. Models Comput. Simul., 14:3 (2022), 398–410 |
9. |
V. M. Goloviznin, A. V. Solovjev, “Dissipative and dispersive properties of finite difference schemes for the linear transport equation on the $4\times3$ meta-template”, Matem. Mod., 33:6 (2021), 45–58 ; Math. Models Comput. Simul., 14:1 (2022), 28–37 |
1
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10. |
N. A. Afanasiev, V. M. Goloviznin, V. N. Semenov, A. M. Sipatov, S. S. Nesterov, “Direct simulation of thermoacoustic instability in gas generators using “CABARET” scheme”, Matem. Mod., 33:2 (2021), 3–19 ; Math. Models Comput. Simul., 13:5 (2021), 820–830 |
11. |
N. A. Afanasiev, V. M. Goloviznin, A. V. Solov'ev, “CABARET scheme with improved dispersion properties for systems of linear hyperbolic-type differential equations”, Num. Meth. Prog., 22:1 (2021), 67–76 |
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2020 |
12. |
V. Y. Glotov, V. M. Goloviznin, B. N. Chetverushkin, “Balance&characteristic finite difference schemes for the equations of the parabolic type”, Matem. Mod., 32:4 (2020), 94–106 ; Math. Models Comput. Simul., 12:6 (2020), 981–989 |
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2018 |
13. |
K. M. Sergeenko, V. M. Goloviznin, V. Yu. Glotov, “LES-simulation of heat transfer in a turbulent pipe flow with lead coolant at different Reynolds numbers”, Matem. Mod., 30:7 (2018), 29–46 ; Math. Models Comput. Simul., 11:2 (2019), 176–189 |
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14. |
V. M. Goloviznin, B. N. Chetverushkin, “New generation algorithms for computational fluid dynamics”, Zh. Vychisl. Mat. Mat. Fiz., 58:8 (2018), 20–29 ; Comput. Math. Math. Phys., 58:8 (2018), 1217–1225 |
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2017 |
15. |
V. M. Goloviznin, V. A. Isakov, “Balance-characteristic scheme as applied to the shallow water equations over a rough bottom”, Zh. Vychisl. Mat. Mat. Fiz., 57:7 (2017), 1142–1160 ; Comput. Math. Math. Phys., 57:7 (2017), 1140–1157 |
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2016 |
16. |
V. M. Goloviznin, D. Yu. Gorbachev, A. M. Kolokolnikov, P. A. Maiorov, P. A. Maiorov, B. A. Tlepsuk, “Implicit and time reversible CABARET schemes for quasilinear shallow water equations”, Num. Meth. Prog., 17:4 (2016), 402–414 |
17. |
V. M. Goloviznin, D. Yu. Gorbachev, A. M. Kolokolnikov, P. A. Maiorov, P. A. Maiorov, B. A. Tlepsuk, “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 |
18. |
V. M. Goloviznin, A. V. Solov'ev, V. A. Isakov, “An approximation algorithm for the treatment of sound points in the CABARET scheme”, Num. Meth. Prog., 17:2 (2016), 166–176 |
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2015 |
19. |
D. G. Asfandiyarov, V. M. Goloviznin, S. A. Finogenov, “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 ; Comput. Math. Math. Phys., 55:9 (2015), 1515–1526 |
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2014 |
20. |
V. Yu. Glotov, V. M. Goloviznin, S. A. Karabasov, A. P. Markeshteijn, “New two-level leapfrog scheme for modeling the stochastic Landau–Lifshitz equations”, Zh. Vychisl. Mat. Mat. Fiz., 54:2 (2014), 298–317 ; Comput. Math. Math. Phys., 54:2 (2014), 315–334 |
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2013 |
21. |
V. M. Goloviznin, S. A. Karabasov, V. G. Kondakov, “Generalization of CABARET scheme for two-dimensional orthogonal computational grid”, Matem. Mod., 25:7 (2013), 103–136 ; Math. Models Comput. Simul., 6:1 (2014), 56–79 |
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22. |
V. Yu. Glotov, V. M. Goloviznin, “CABARET scheme in velocity-pressure formulation for two-dimensional incompressible fluids”, Zh. Vychisl. Mat. Mat. Fiz., 53:6 (2013), 898–913 ; Comput. Math. Math. Phys., 53:6 (2013), 721–735 |
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2012 |
23. |
V. M. Goloviznin, N. A. Zaitsev, V. V. Kabanov, V. G. Lysov, Yu. G. Rykov, “On some approach to direct numerical simulation of two-phase flows”, Keldysh Institute preprints, 2012, 073, 36 pp. |
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24. |
A. V. Danilin, V. M. Goloviznin, “Cabaret scheme in “velocity–vorticity” formulation for numerical modeling of ideal fluid motion in two-dimensional domain”, Matem. Mod., 24:5 (2012), 45–60 ; Math. Models Comput. Simul., 4:6 (2012), 574–586 |
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25. |
V. M. Goloviznin, A. A. Kanaev, “High-resolution numerical algorithm for one-dimensional scalar conservation laws with a constrained solution”, Zh. Vychisl. Mat. Mat. Fiz., 52:3 (2012), 461–471 ; Comput. Math. Math. Phys., 52:3 (2012), 400–410 |
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2011 |
26. |
P. G. Yakovlev, S. A. Karabasov, V. M. Goloviznin, “Direct simulation of interacting vortex pairs”, Matem. Mod., 23:11 (2011), 21–32 ; Math. Models Comput. Simul., 4:3 (2012), 288–296 |
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27. |
V. Yu. Glotov, V. M. Goloviznin, “Сabaret scheme for the two-dimensional incompressible fluid in terms of «stream function – vorticity»”, Matem. Mod., 23:9 (2011), 89–104 ; Math. Models Comput. Simul., 4:2 (2012), 144–154 |
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28. |
V. M. Goloviznin, V. N. Koterov, V. M. Krivtsov, “Solution of the heat equation on unstructured curvilinear grids”, Zh. Vychisl. Mat. Mat. Fiz., 51:11 (2011), 2075–2083 ; Comput. Math. Math. Phys., 51:11 (2011), 1953–1961 |
29. |
V. M. Goloviznin, A. A. Kanaev, “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 ; Comput. Math. Math. Phys., 51:5 (2011), 824–839 |
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2009 |
30. |
V. M. Goloviznin, S. A. Karabasov, T. K. Kozubskaya, N. V. Maksimov, “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 ; Comput. Math. Math. Phys., 49:12 (2009), 2168–2182 |
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2006 |
31. |
V. M. Goloviznin, I. A. Korotkin, “Numerical methods for some one-dimensional equations with fractional derivatives”, Differ. Uravn., 42:7 (2006), 907–913 ; Differ. Equ., 42:7 (2006), 967–973 |
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32. |
V. M. Goloviznin, “Balanced characteristic method for 1D systems of hyperbolic conservation laws in eulerian representation”, Matem. Mod., 18:11 (2006), 14–30 |
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2003 |
33. |
V. M. Goloviznin, S. A. Karabasov, “Balancing characteristic schemes on piecewise constant initial data. Jumping transfer”, Matem. Mod., 15:10 (2003), 71–83 |
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34. |
V. M. Goloviznin, S. A. Karabasov, I. M. Kobrinskii, “Balance-characteristic schemes with separated conservative and flux variables”, Matem. Mod., 15:9 (2003), 29–48 |
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2000 |
35. |
V. M. Goloviznin, S. A. Karabasov, D. A. Sykhodulov, “A variation approach to the construction of finite-difference scheme with space-split time derivative for the Korteweg-de Vries equation”, Matem. Mod., 12:4 (2000), 105–116 |
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1998 |
36. |
V. M. Goloviznin, S. A. Karabasov, “Nonlinear correction of Cabaret scheme”, Matem. Mod., 10:12 (1998), 107–123 |
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37. |
V. M. Goloviznin, A. A. Samarskii, “Some characteristics of finite difference scheme “cabaret””, Matem. Mod., 10:1 (1998), 101–116 |
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38. |
V. M. Goloviznin, A. A. Samarskii, “Finite difference approximation of convective transport equation with space splitting time derivative”, Matem. Mod., 10:1 (1998), 86–100 |
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1995 |
39. |
V. V. Belikov, G. V. Belikova, V. M. Goloviznin, V. N. Semenov, L. P. Starodubtseva, A. L. Fokin, “Suppression of detonation in hydrogen-air mixture”, TVT, 33:3 (1995), 452–457 ; High Temperature, 33:3 (1995), 449–454 |
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1992 |
40. |
V. M. Goloviznin, O. G. Simatcheva, O. S. Sorokovikova, “Computation of flows in stratified liquids and gases with free upper boundary”, Matem. Mod., 4:9 (1992), 101–113 |
41. |
V. V. Belikov, P. N. Vabishchevich, V. M. Goloviznin, Yu. V. Katieschkov, “The mathematical models of the plastics injection moldingfor the thin-walled parts”, Matem. Mod., 4:5 (1992), 18–30 |
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1990 |
42. |
R. V. Arutyunyan, L. A. Bol'shov, E. P. Velikhov, V. M. Goloviznin, V. P. Kiselev, A. G. Popkov, V. V. Chudanov, “Heat safety of buried accident objects of atomic power industry”, Dokl. Akad. Nauk SSSR, 313:2 (1990), 333–336 |
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1989 |
43. |
L. A. Bol'shov, V. A. Vorob'ev, V. M. Goloviznin, M. F. Kanevskii, V. D. Kanyukova, A. I. Yudin, “Modelling of the propagation of laser emission in plasma in the geometric optic approximation”, Matem. Mod., 1:5 (1989), 1–10 |
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1987 |
44. |
V. M. Goloviznin, E. A. Samarskaya, V. V. Chudanov, “The method of “factored thermal displacement” for the efficient solution of the heat equation on nonorthogonal nets”, Differ. Uravn., 23:7 (1987), 1143–1154 |
45. |
R. V. Arutyunyan, L. A. Bol'shov, V. M. Goloviznin, M. F. Kanevskii, S. Yu. Chernov, “EFFECT OF SPATIAL EMISSION STRUCTURE ON DYNAMICS OF LIGHT-DETONATION
WAVES IN THE FOCUSED RAY”, Zhurnal Tekhnicheskoi Fiziki, 57:7 (1987), 1427–1429 |
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1985 |
46. |
V. M. Goloviznin, A. Sabitova, E. A. Samarskaya, “Completely conservative locally barotropic difference schemes of gas dynamics in mixed Euler–Lagrange variables”, Differ. Uravn., 21:7 (1985), 1144–1155 |
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1984 |
47. |
V. M. Goloviznin, M. A. Ryazanov, A. A. Samarskii, O. S. Sorokovikova, “Completely conservative correction of fluxes in problems of gas dynamics”, Dokl. Akad. Nauk SSSR, 274:3 (1984), 524–528 |
48. |
V. M. Goloviznin, V. K. Korshunov, A. Sabitova, E. A. Samarskaya, “Stability of variational-difference schemes of gas dynamics”, Differ. Uravn., 20:7 (1984), 1173–1181 |
49. |
V. M. Goloviznin, M. A. Ryazanov, O. S. Sorokovikova, “A class of completely conservative difference schemes of magnetohydrodynamics in mixed Euler-Lagrange variables”, Zh. Vychisl. Mat. Mat. Fiz., 24:4 (1984), 520–533 ; U.S.S.R. Comput. Math. Math. Phys., 24:2 (1984), 120–130 |
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1983 |
50. |
V. M. Goloviznin, V. D. Kanyukova, E. A. Samarskaya, “Super-implicit difference schemes of gas dynamics”, Differ. Uravn., 19:7 (1983), 1186–1197 |
51. |
V. M. Goloviznin, N. A. Koptelova, O. G. Simacheva, “The method of dynamic potentials for the numerical modeling of nonstationary problems of hydrodynamics with free boundaries”, Differ. Uravn., 19:5 (1983), 870–878 |
52. |
V. M. Goloviznin, M. A. Ryazanov, “Solution of nonstationary problems of heat conduction by the variational-difference method”, Differ. Uravn., 19:5 (1983), 860–869 |
53. |
V. M. Goloviznin, O. G. Simacheva, “A method of constructing computational meshes in domains with curvilinear boundaries”, Zh. Vychisl. Mat. Mat. Fiz., 23:5 (1983), 1245–1249 ; U.S.S.R. Comput. Math. Math. Phys., 23:5 (1983), 144–147 |
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1982 |
54. |
V. M. Goloviznin, V. K. Korshunov, A. A. Samarskii, “Two-dimensional difference schemes of magnetohydrodynamics on triangle Lagrange meshes”, Zh. Vychisl. Mat. Mat. Fiz., 22:4 (1982), 926–942 ; U.S.S.R. Comput. Math. Math. Phys., 22:4 (1982), 160–178 |
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55. |
V. M. Goloviznin, “A method for introducing artificial dissipation into variation-difference schemes of magnetohydrodynamics”, Zh. Vychisl. Mat. Mat. Fiz., 22:1 (1982), 144–150 ; U.S.S.R. Comput. Math. Math. Phys., 22:1 (1982), 150–156 |
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1981 |
56. |
V. M. Goloviznin, E. A. Samarskaya, “Locally barotropic difference schemes of gas dynamics”, Differ. Uravn., 17:7 (1981), 1228–1238 |
57. |
V. M. Goloviznin, “Three-dimensional differential-difference schemes of magnetohydrodynamics”, Differ. Uravn., 17:7 (1981), 1222–1227 |
58. |
V. M. Goloviznin, A. A. Samarskii, A. P. Favorskii, “A variational principle for obtaining magnetohydrodynamic equations in mixed eulerian-lagrangian variables”, Zh. Vychisl. Mat. Mat. Fiz., 21:2 (1981), 409–422 ; U.S.S.R. Comput. Math. Math. Phys., 21:2 (1981), 153–166 |
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59. |
V. M. Goloviznin, T. K. Korshiya, A. A. Samarskii, V. F. Tishkin, A. P. Favorskii, “Variational schemes of magnetohydrodynamics in an arbitrary coordinate system”, Zh. Vychisl. Mat. Mat. Fiz., 21:1 (1981), 54–68 ; U.S.S.R. Comput. Math. Math. Phys., 21:1 (1981), 53–68 |
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1979 |
60. |
V. M. Goloviznin, A. A. Samarskii, A. P. Favorski, “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 |
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1977 |
61. |
V. M. Goloviznin, A. A. Samarskii, A. P. Favorski, “A variational approach to constructing finite-difference mathematical models in hydrodynamics”, Dokl. Akad. Nauk SSSR, 235:6 (1977), 1285–1288 |
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2015 |
62. |
M. P. Galanin, V. A. Gasilov, V. M. Goloviznin, A. V. Gulin, M. K. Kerimov, G. G. Malinetskii, E. I. Moiseev, S. I. Mukhin, Yu. P. Popov, N. V. Sosnin, V. F. Tishkin, B. N. Chetverushkin, “On the 75th birthday of professor Anton Pavlovich Favorskii”, Zh. Vychisl. Mat. Mat. Fiz., 55:8 (2015), 1283–1291 ; Comput. Math. Math. Phys., 55:8 (2015), 1257–1263 |
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