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Publications in Math-Net.Ru |
Citations |
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2023 |
1. |
M. V. Abgaryan, A. M. Bishaev, V. A. Rykov, “On the simulation of a rarefied plasma jet on the basis of kinetic equations”, Zh. Vychisl. Mat. Mat. Fiz., 63:12 (2023), 1984–1992 ; Comput. Math. Math. Phys., 63:12 (2023), 2267–2274 |
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2020 |
2. |
M. V. Abgaryan, A. M. Bishaev, V. A. Rykov, “Numerical method for solving a system of kinetic equations describing the behavior of a nonideal gas”, Zh. Vychisl. Mat. Mat. Fiz., 60:9 (2020), 1534–1545 ; Comput. Math. Math. Phys., 60:9 (2020), 1488–1498 |
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2018 |
3. |
I. A. Kostromin, V. A. Rykov, “Construction of divergence forms of conservation equations for a diatomic gas using a model kinetic equation”, Zh. Vychisl. Mat. Mat. Fiz., 58:9 (2018), 1543–1552 ; Comput. Math. Math. Phys., 58:9 (2018), 1489–1498 |
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2017 |
4. |
A. M. Bishaev, V. A. Rykov, “Construction of a system of kinetic equations for a nonideal gas at temperatures on the order of critical values”, TVT, 55:1 (2017), 31–43 ; High Temperature, 55:1 (2017), 27–39 |
3
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2014 |
5. |
I. N. Larina, V. A. Rykov, “Numerical study of unsteady rarefied diatomic gas flows in a plane microchannel”, Zh. Vychisl. Mat. Mat. Fiz., 54:8 (2014), 1332–1344 ; Comput. Math. Math. Phys., 54:8 (2014), 1293–1304 |
4
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6. |
I. N. Larina, V. A. Rykov, “Numerical study of Couette flow based on a nonlinear nonequilibrium kinetic model of the Boltzmann equation for monatomic gases”, Zh. Vychisl. Mat. Mat. Fiz., 54:4 (2014), 686–696 ; Comput. Math. Math. Phys., 54:4 (2014), 696–705 |
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2013 |
7. |
I. A. Kostromin, V. A. Rykov, “Numerical study of the Couette flow of a diatomic rarefied gas”, Zh. Vychisl. Mat. Mat. Fiz., 53:11 (2013), 1856–1868 ; Comput. Math. Math. Phys., 53:11 (2013), 1684–1695 |
1
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2012 |
8. |
I. N. Larina, V. A. Rykov, “Computation of rarefied diatomic gas flows through a plane microchannel”, Zh. Vychisl. Mat. Mat. Fiz., 52:4 (2012), 720–732 ; Comput. Math. Math. Phys., 52:4 (2012), 637–648 |
12
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2011 |
9. |
I. N. Larina, V. A. Rykov, “Nonlinear nonequilibrium kinetic model of the Boltzmann equation for monatomic gases”, Zh. Vychisl. Mat. Mat. Fiz., 51:11 (2011), 2084–2095 ; Comput. Math. Math. Phys., 51:11 (2011), 1962–1972 |
3
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2010 |
10. |
I. N. Larina, V. A. Rykov, “Kinetic model of the Boltzmann equation for a diatomic gas with rotational degrees of freedom”, Zh. Vychisl. Mat. Mat. Fiz., 50:12 (2010), 2233–2245 ; Comput. Math. Math. Phys., 50:12 (2010), 2118–2130 |
30
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11. |
I. N. Larina, V. A. Rykov, “A kinetic model of the Boltzmann equation for the power-law interaction potential between molecules”, Zh. Vychisl. Mat. Mat. Fiz., 50:3 (2010), 544–556 ; Comput. Math. Math. Phys., 50:3 (2010), 519–530 |
4
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2008 |
12. |
I. N. Larina, V. A. Rykov, “Kinetic model of the Boltzmann equation with limiting gas flow regimes at low Knudsen numbers”, Zh. Vychisl. Mat. Mat. Fiz., 48:7 (2008), 1294–1308 ; Comput. Math. Math. Phys., 48:7 (2008), 1221–1233 |
6
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2007 |
13. |
V. A. Rykov, D. A. Shil'tsov, “Conservative numerical method for solving the averaged Boltzmann equation”, Zh. Vychisl. Mat. Mat. Fiz., 47:11 (2007), 1949–1957 ; Comput. Math. Math. Phys., 47:11 (2007), 1867–1874 |
1
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14. |
I. N. Larina, V. A. Rykov, “Models of a linearized Boltzmann collision integral”, Zh. Vychisl. Mat. Mat. Fiz., 47:6 (2007), 1029–1044 ; Comput. Math. Math. Phys., 47:6 (2007), 983–997 |
8
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15. |
V. A. Rykov, V. A. Titarev, E. M. Shakhov, “Numerical study of the transverse supersonic flow of a diatomic rarefied gas past a plate”, Zh. Vychisl. Mat. Mat. Fiz., 47:1 (2007), 140–154 ; Comput. Math. Math. Phys., 47:1 (2007), 136–150 |
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2005 |
16. |
I. N. Larina, V. A. Rykov, “Calculation of the flow of rarefied gas around a circular cylinder at low Knudsen numbers”, Zh. Vychisl. Mat. Mat. Fiz., 45:7 (2005), 1304–1320 ; Comput. Math. Math. Phys., 45:7 (2005), 1259–1275 |
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2004 |
17. |
I. N. Larina, V. A. Rykov, “Numerical solution method of axially simmetric problems for the Boltzmann equation”, Matem. Mod., 16:6 (2004), 65–68 |
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2003 |
18. |
I. N. Larina, V. A. Rykov, “Numerical solution of the Boltzmann equation by the symmetric splitting method”, Zh. Vychisl. Mat. Mat. Fiz., 43:4 (2003), 601–613 ; Comput. Math. Math. Phys., 43:4 (2003), 575–586 |
11
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2002 |
19. |
I. N. Larina, V. A. Rykov, “Splitting method of the second order of accuracy for the Boltzmann equation”, Matem. Mod., 14:8 (2002), 96–101 |
1
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20. |
I. N. Larina, V. A. Rykov, “Second-order accurate numerical method for solving Boltzmann's equation at low Knudsen numbers”, Zh. Vychisl. Mat. Mat. Fiz., 42:4 (2002), 559–568 ; Comput. Math. Math. Phys., 42:4 (2002), 534–543 |
6
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2000 |
21. |
I. N. Larina, V. A. Rykov, “Numerical method for solution of boltzmann equation at low knudsen”, Matem. Mod., 12:6 (2000), 109–114 |
1
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1998 |
22. |
I. N. Larina, V. A. Rykov, “A method for computing axially symmetric rotating flows of a rarefied gas at small Knudsen numbers”, Zh. Vychisl. Mat. Mat. Fiz., 38:11 (1998), 1936–1942 ; Comput. Math. Math. Phys., 38:11 (1998), 1859–1865 |
23. |
I. N. Larina, V. A. Rykov, “A numerical method for calculating axisymmetric rarefied gas flows”, Zh. Vychisl. Mat. Mat. Fiz., 38:8 (1998), 1391–1403 ; Comput. Math. Math. Phys., 38:8 (1998), 1335–1346 |
20
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1997 |
24. |
A. M. Bishaev, V. A. Rykov, “Application of variational principles to the calculation of the slip coefficient of gas”, Zh. Vychisl. Mat. Mat. Fiz., 37:2 (1997), 230–238 ; Comput. Math. Math. Phys., 37:2 (1997), 227–235 |
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1996 |
25. |
I. N. Larina, V. A. Rykov, “Calculation of plane flows of a rarefied gas at low Knudsen numbers”, Zh. Vychisl. Mat. Mat. Fiz., 36:12 (1996), 135–150 ; Comput. Math. Math. Phys., 36:12 (1996), 1755–1768 |
10
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1995 |
26. |
I. N. Larina, V. A. Rykov, E. M. Shakhov, “Development of a rarefied gas flow between parallel plates initiated by a pressure discontinuity”, Dokl. Akad. Nauk, 343:4 (1995), 482–485 |
3
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1994 |
27. |
M. I. Gradoboev, I. N. Larina, V. A. Rykov, E. M. Shakhov, “Investigation of the unsteady vortex motions of a viscous incompressible fluid in the cavity of a rotating body”, Zh. Vychisl. Mat. Mat. Fiz., 34:3 (1994), 415–431 ; Comput. Math. Math. Phys., 34:3 (1994), 351–364 |
28. |
M. I. Gradoboev, V. A. Rykov, “A conservative method for the numerical solution of the kinetic equation at low Knudsen numbers”, Zh. Vychisl. Mat. Mat. Fiz., 34:2 (1994), 246–266 ; Comput. Math. Math. Phys., 34:2 (1994), 205–222 |
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1993 |
29. |
M. I. Gradoboev, I. N. Larina, V. A. Rykov, E. M. Shakhov, “Vortical motion of viscous incompressible fluid in cylindrical cavity of a body rotating
with constant acceleration”, Dokl. Akad. Nauk, 330:2 (1993), 180–184 |
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1992 |
30. |
A. M. Bishaev, V. A. Rykov, “Variational principles for the linear Boltzmann equation”, Zh. Vychisl. Mat. Mat. Fiz., 32:11 (1992), 1803–1813 ; Comput. Math. Math. Phys., 32:11 (1992), 1629–1639 |
1
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1990 |
31. |
A. M. Bishaev, V. A. Rykov, “Variational principles of the linear kinetic theory of a gas”, Zh. Vychisl. Mat. Mat. Fiz., 30:4 (1990), 570–585 ; U.S.S.R. Comput. Math. Math. Phys., 30:2 (1990), 154–165 |
3
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1989 |
32. |
V. A. Rykov, “The construction of a complete set of divergent forms of the conservation equations based on the Boltzmann equations”, Zh. Vychisl. Mat. Mat. Fiz., 29:2 (1989), 251–262 ; U.S.S.R. Comput. Math. Math. Phys., 29:1 (1989), 173–182 |
1
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33. |
I. N. Larina, V. A. Rykov, “Three-dimensional flow of a rarefied gas past a conical body”, Zh. Vychisl. Mat. Mat. Fiz., 29:1 (1989), 110–117 ; U.S.S.R. Comput. Math. Math. Phys., 29:1 (1989), 77–82 |
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1987 |
34. |
M. I. Gradoboev, V. A. Rykov, “Monatomic rarefied gas flow over a circular rotating cylinder”, Zh. Vychisl. Mat. Mat. Fiz., 27:6 (1987), 898–904 ; U.S.S.R. Comput. Math. Math. Phys., 27:3 (1987), 168–172 |
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1986 |
35. |
E. N. Demina, V. A. Rykov, “A method of calculating subsonic flows of a rarefied gas at low Knudsen numbers”, Dokl. Akad. Nauk SSSR, 291:4 (1986), 793–797 |
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1985 |
36. |
V. A. Rykov, “Macroscopic conservation laws in the kinetic theory of a monatomic gas and their consequences”, Zh. Vychisl. Mat. Mat. Fiz., 25:12 (1985), 1902–1906 ; U.S.S.R. Comput. Math. Math. Phys., 25:6 (1985), 197–200 |
1
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1983 |
37. |
A. M. Bishaev, V. A. Rykov, “The $H$-theorem and Onsager principle for the stationary Boltzmann's equation”, Zh. Vychisl. Mat. Mat. Fiz., 23:4 (1983), 954–964 ; U.S.S.R. Comput. Math. Math. Phys., 23:4 (1983), 116–123 |
1
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1982 |
38. |
V. A. Rykov, “A description of steady gas flows on the basis of an even distribution function”, Zh. Vychisl. Mat. Mat. Fiz., 22:1 (1982), 244–246 ; U.S.S.R. Comput. Math. Math. Phys., 22:1 (1982), 261–264 |
2
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1980 |
39. |
V. A. Rykov, F. G. Cheremisin, E. M. Shakhov, “Numerical investigations in rarefied gas dynamics”, Zh. Vychisl. Mat. Mat. Fiz., 20:5 (1980), 1266–1283 ; U.S.S.R. Comput. Math. Math. Phys., 20:5 (1980), 168–185 |
2
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1978 |
40. |
V. A. Matsuk, V. A. Rykov, “The Chapman–Enskog method for reacting gas mixtures with different velocities and temperatures”, Zh. Vychisl. Mat. Mat. Fiz., 18:5 (1978), 1230–1242 ; U.S.S.R. Comput. Math. Math. Phys., 18:5 (1978), 154–166 |
4
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41. |
A. M. Bishaev, V. A. Rykov, “Recondensation monoatomic gas for small Knudsen numbers”, Zh. Vychisl. Mat. Mat. Fiz., 18:3 (1978), 709–717 ; U.S.S.R. Comput. Math. Math. Phys., 18:3 (1978), 182–191 |
10
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42. |
V. A. Matsuk, V. A. Rykov, “Extension of the Chapman–Enskog method to mixtures of reacting gases”, Zh. Vychisl. Mat. Mat. Fiz., 18:1 (1978), 167–182 ; U.S.S.R. Comput. Math. Math. Phys., 18:1 (1978), 160–175 |
8
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1977 |
43. |
V. A. Matsuk, V. A. Rykov, “Chapman–Enskog method for a mixture of gases”, Dokl. Akad. Nauk SSSR, 233:1 (1977), 49–51 |
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1976 |
44. |
I. N. Larina, V. A. Rykov, “Diatomic gas flow around a sphere based on kinetic equations”, Dokl. Akad. Nauk SSSR, 227:1 (1976), 60–62 |
2
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45. |
I. I. Kudish, V. A. Rykov, “Convergence to the centre and reflection of a spherical wave in a gas”, Zh. Vychisl. Mat. Mat. Fiz., 16:5 (1976), 1209–1216 ; U.S.S.R. Comput. Math. Math. Phys., 16:5 (1976), 118–125 |
7
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46. |
V. I. Zhuk, V. A. Rykov, “Rarefied gas flow from a sperical source for small Knudsen numbers”, Zh. Vychisl. Mat. Mat. Fiz., 16:3 (1976), 738–749 ; U.S.S.R. Comput. Math. Math. Phys., 16:3 (1976), 190–201 |
2
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1975 |
47. |
A. M. Bishaev, V. A. Rykov, “Solution by an iterative method of stationary problems of the kinetic theory of gases at moderate and low knudsen numbers”, Zh. Vychisl. Mat. Mat. Fiz., 15:1 (1975), 172–182 ; U.S.S.R. Comput. Math. Math. Phys., 15:1 (1975), 166–176 |
15
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1973 |
48. |
I. I. Kudish, V. A. Rykov, “Reflection of a shock wave from a rigid wall”, Zh. Vychisl. Mat. Mat. Fiz., 13:5 (1973), 1288–1297 ; U.S.S.R. Comput. Math. Math. Phys., 13:5 (1973), 232–243 |
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