Abrashin Vyacheslav Nikolaevich

Publications in Math-Net.Ru

1. On the Numerical Error of Vector-Additive Iterative Methods
   
   Differ. Uravn., 41:7 (2005),  990–993
2. On an additive method for nonstationary Navier–Stokes equations
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 2005, no. 1,  3–9
3. A Class of Additive Methods for Nonlinear Multidimensional Problems of Mathematical Physics
   
   Differ. Uravn., 39:7 (2003),  879–887
4. On additive iterative methods and estimates for their rate of convergence
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 2003, no. 1,  3–11
5. Economical Additive Finite-Difference Schemes for Miltidimensional Nonlinear Nonstationary Problems
   
   Differ. Uravn., 38:7 (2002),  907–917
6. On a Class of Additive Iterative Methods
   
   Differ. Uravn., 37:12 (2001),  1664–1673
7. On the Convergence Rate of Additive Iterative Methods
   
   Differ. Uravn., 37:7 (2001),  867–879
8. The convergence rate of economical iterative methods for stationary problems of mathematical physics
   
   Differ. Uravn., 36:9 (2000),  1220–1229
9. Asymptotic stability of the decomposition method for parabolic equations
   
   Differ. Uravn., 36:7 (2000),  909–918
10. Efficient iterative schemes for realizing the finite element method for stationary boundary value problems in mathematical physics
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2000, no. 11,  3–11
11. Multicomponent iterative alternating direction methods
    
    Matem. Mod., 12:2 (2000),  45–58
12. Additive iterative methods for solving stationary problems for the Navier–Stokes equations
    
    Differ. Uravn., 35:11 (1999),  1543–1552
13. On a composition method for constructing iterative algorithms for solving stationary problems in mathematical physics
    
    Differ. Uravn., 35:7 (1999),  948–957
14. On the stability of difference schemes of a multicomponent alternating direction method for parabolic equations and systems
    
    Differ. Uravn., 35:2 (1999),  212–224
15. On a class of difference methods for solving Navier–Stokes equations
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1999, no. 5,  3–11
16. Vector additive schemes for second-order evolution equations
    
    Differ. Uravn., 34:12 (1998),  1666–1674
17. On an iterative domain decomposition method for solving problems of mathematical physics. II
    
    Differ. Uravn., 34:2 (1998),  266–271
18. A decomposition method for solving first-order hyperbolic systems
    
    Differ. Uravn., 33:12 (1997),  1699–1701
19. A multicomponent alternating direction method for solving stationary problems of mathematical physics. II
    
    Differ. Uravn., 33:9 (1997),  1211–1219
20. On an iterative domain decomposition method for solving problems of mathematical physics. I
    
    Differ. Uravn., 33:7 (1997),  899–908
21. A multicomponent alternating direction method for solving stationary problems of mathematical physics. I
    
    Differ. Uravn., 32:9 (1996),  1212–1221
22. On the combination of the alternating direction method and the finite element method for the solution of problems in mathematical physics. II
    
    Differ. Uravn., 32:7 (1996),  889–897
23. On a domain decomposition method in the solution of problems in mathematical physics
    
    Differ. Uravn., 32:5 (1996),  652–660
24. On a subdomain decomposition method in the solution of problems in mathematical physics
    
    Differ. Uravn., 31:9 (1995),  1525–1535
25. On the combination of the alternating direction method and the finite element method for the solution of problems in mathematical physics. I
    
    Differ. Uravn., 31:7 (1995),  1161–1169
26. On a class of iterative methods for solving multidimensional problems in mathematical physics
    
    Differ. Uravn., 31:5 (1995),  840–848
27. Экономичные итерационные методы решения многомерных эллиптических уравнений
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1995, no. 4,  3–11
28. On a class of iterative methods for solving stationary Navier–Stokes equations. II
    
    Differ. Uravn., 30:12 (1994),  2094–2105
29. A method of variable directions type for the solution of multidimensional problems in mathematical physics in domains with a curvilinear boundary
    
    Differ. Uravn., 30:7 (1994),  1168–1174
30. Efficient iterative methods for solving multidimensional problems in mathematical physics. II
    
    Differ. Uravn., 30:2 (1994),  281–291
31. A class of iterative methods for solving stationary Navier–Stokes equations. I
    
    Differ. Uravn., 29:9 (1993),  1561–1574
32. Efficient iterative methods for solving multidimensional problems in mathematical physics. I
    
    Differ. Uravn., 29:7 (1993),  1107–1116
33. A class of difference schemes for the solution of Navier–Stokes equations. II
    
    Differ. Uravn., 29:4 (1993),  673–688
34. A class of efficient difference schemes for solving multidimensional problems in mathematical physics
    
    Differ. Uravn., 28:10 (1992),  1786–1799
35. A class of difference schemes for the solution of Navier–Stokes equations. I
    
    Differ. Uravn., 28:7 (1992),  1154–1167
36. Efficient methods for solving multidimensional thermoelasticity problems
    
    Differ. Uravn., 28:2 (1992),  290–305
37. Nonlinear stage of development of the relativistic electron beam Cherenkov instability
    
    Matem. Mod., 3:8 (1991),  21–29
38. A variant of the method of variable directions for the solution of multidimensional problems in mathematical physics. II
    
    Differ. Uravn., 26:7 (1990),  1179–1191
39. Efficient schemes with explicit identification of a front for multidimensional problems with free boundaries. I
    
    Differ. Uravn., 26:6 (1990),  1055–1066
40. A variant of the method of variable directions for the solution of multidimensional problems in mathematical physics. I
    
    Differ. Uravn., 26:2 (1990),  314–323
41. Efficient difference schemes for nonlinear hyperbolic equations. II
    
    Differ. Uravn., 23:7 (1987),  1107–1116
42. A class of difference schemes for nonlinear nonstationary problems of mathematical physics. I
    
    Differ. Uravn., 22:7 (1986),  1107–1119
43. Efficient difference schemes for quasilinear transport equations
    
    Differ. Uravn., 21:7 (1985),  1264–1267
44. Efficient difference schemes for nonlinear hyperbolic equations. I
    
    Differ. Uravn., 21:7 (1985),  1107–1117
45. Stable difference schemes for a system of Navier–Stokes equations
    
    Differ. Uravn., 20:7 (1984),  1276–1279
46. Difference methods in problems of light-induced diffraction in nonlinear media
    
    Differ. Uravn., 20:7 (1984),  1107–1118
47. Stable difference schemes for quasilinear equations of mathematical physics
    
    Differ. Uravn., 18:11 (1982),  1967–1971
48. A difference scheme for the nonlinear heat equation
    
    Differ. Uravn., 18:7 (1982),  1271–1272
49. Locally one-dimensional difference schemes for multidimensional quasilinear hyperbolic equations
    
    Differ. Uravn., 18:7 (1982),  1107–1117
50. On the accuracy of difference schemes for one-dimensional problems of gas dynamics
    
    Differ. Uravn., 17:7 (1981),  1155–1170
51. Difference schemes of gas dynamics
    
    Differ. Uravn., 17:4 (1981),  710–718
52. The accuracy of three-layer difference schemes for quasilinear parabolic and hyperbolic equations
    
    Differ. Uravn., 16:11 (1980),  2087–2088
53. Uniform convergence of forward difference schemes for multidimensional quasilinear parabolic equations. II
    
    Differ. Uravn., 16:4 (1980),  684–696
54. Uniform convergence of forward difference schemes for multidimensional quasilinear parabolic equations. I
    
    Differ. Uravn., 15:12 (1979),  2217–2227
55. Difference schemes for nonlinear hyperbolic equations with piecewise-smooth solutions. II
    
    Differ. Uravn., 15:7 (1979),  1225–1238
56. Difference schemes for nonlinear hyperbolic equations with piecewise-smooth solutions. I
    
    Differ. Uravn., 14:12 (1978),  2223–2239
57. Difference schemes for quasilinear nonstationary problems. II
    
    Differ. Uravn., 14:8 (1978),  1478–1486
58. Difference schemes for parabolic equations with a nonlinear degeneracy. II
    
    Differ. Uravn., 14:7 (1978),  1215–1223
59. On some difference schemes for radiant heat conduction problems
    
    Dokl. Akad. Nauk SSSR, 230:4 (1976),  753–756
60. Difference schemes for parabolic equations with a nonlinear degeneracy. I
    
    Differ. Uravn., 12:8 (1976),  1470–1484
61. Difference schemes for multidimensional quasilinear parabolic equations
    
    Differ. Uravn., 11:5 (1975),  889–899
62. Difference schemes for a nonlinear parabolic equation that is not solved for the highest derivatives
    
    Differ. Uravn., 11:4 (1975),  694–707
63. Difference schemes for nonlinear hyperbolic equations. II
    
    Differ. Uravn., 11:2 (1975),  294–308
64. Difference schemes for quasilinear nonstationary problems. I
    
    Differ. Uravn., 10:7 (1974),  1303–1311
65. Difference schemes of first order accuracy for quasilinear hyperbolic systems
    
    Differ. Uravn., 9:12 (1973),  2186–2201
66. Difference schemes for nonlinear hyperbolic equations. I
    
    Differ. Uravn., 9:11 (1973),  2029–2040
67. Difference schemes of first order accuracy for quasilinear hyperbolic systems. I
    
    Differ. Uravn., 9:6 (1973),  1085–1098
68. The method of lines for a conjugacy problem of a parabolic and a hyperbolic equation
    
    Differ. Uravn., 6:5 (1970),  924–928
69. Convergence and estimates of error of the method of straight lines in the solution of certain problems of mathematical physics
    
    Differ. Uravn., 4:7 (1968),  1317–1332


70. A. V. Gulin (A tribute on the occasion of his 60th birthday)
    
    Differ. Uravn., 38:7 (2002),  870–874
71. Yurii Petrovich Popov (A Tribute in Honor of His Sixtieth Birthday)
    
    Differ. Uravn., 37:5 (2001),  579–585
72. Nikolai Alekseevich Izobov
    
    Differ. Uravn., 36:1 (2000),  3–11
73. Aleksandr Andreevich Samarskiǐ (on the occasion of his eightieth birthday)
    
    Differ. Uravn., 35:2 (1999),  147–151
74. Sergeǐ Pavlovich Kurdyumov (on the occasion of his seventieth birthday)
    
    Differ. Uravn., 34:11 (1998),  1443–1444
75. Letter to the editors: “Difference schemes for parabolic equations with a nonlinear degeneracy” (Differencial'nye Uravnenija 12 (1976), no. 8, 1470-1484)
    
    Differ. Uravn., 12:11 (1976),  2105