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Abrashin, Vyacheslav Nikolaevich
(1943–2005)
Statistics Math-Net.Ru
Total publications: 76
Scientific articles: 70

Number of views:
This page:3009
Abstract pages:11578
Full texts:4787
References:247
Professor
Doctor of physico-mathematical sciences (1979)
Birth date: 22.07.1943
Website: https://www.mathnet.ru/rus/de11270

https://www.mathnet.ru/eng/person32671
https://ru.wikipedia.org/wiki/Abrashin,_Vyacheslav_Nikolaevich
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/195819

Publications in Math-Net.Ru Citations
2005
1. V. N. Abrashin, V. M. Volkov, N. G. Zhadaeva, “On the Numerical Error of Vector-Additive Iterative Methods”, Differ. Uravn., 41:7 (2005),  990–993  mathnet  mathscinet; Differ. Equ., 41:7 (2005), 1040–1044
2. V. N. Abrashin, N. G. Zhadaeva, “On an additive method for nonstationary Navier–Stokes equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 2005, no. 1,  3–9  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 49:1 (2005), 1–6
2003
3. V. N. Abrashin, “A Class of Additive Methods for Nonlinear Multidimensional Problems of Mathematical Physics”, Differ. Uravn., 39:7 (2003),  879–887  mathnet  mathscinet; Differ. Equ., 39:7 (2003), 926–935 1
4. V. N. Abrashin, N. G. Zhadaeva, “On additive iterative methods and estimates for their rate of convergence”, Izv. Vyssh. Uchebn. Zaved. Mat., 2003, no. 1,  3–11  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 47:1 (2003), 1–9
2002
5. V. N. Abrashin, N. G. Zhadaeva, “Economical Additive Finite-Difference Schemes for Miltidimensional Nonlinear Nonstationary Problems”, Differ. Uravn., 38:7 (2002),  907–917  mathnet  mathscinet; Differ. Equ., 38:7 (2002), 960–971 3
2001
6. V. N. Abrashin, A. A. Egorov, N. G. Zhadaeva, “On a Class of Additive Iterative Methods”, Differ. Uravn., 37:12 (2001),  1664–1673  mathnet  mathscinet; Differ. Equ., 37:12 (2001), 1751–1760 3
7. V. N. Abrashin, A. A. Egorov, N. G. Zhadaeva, “On the Convergence Rate of Additive Iterative Methods”, Differ. Uravn., 37:7 (2001),  867–879  mathnet  mathscinet; Differ. Equ., 37:7 (2001), 909–922 3
2000
8. V. N. Abrashin, N. G. Zhadaeva, “The convergence rate of economical iterative methods for stationary problems of mathematical physics”, Differ. Uravn., 36:9 (2000),  1220–1229  mathnet  mathscinet; Differ. Equ., 36:9 (2000), 1348–1359
9. V. N. Abrashin, “Asymptotic stability of the decomposition method for parabolic equations”, Differ. Uravn., 36:7 (2000),  909–918  mathnet  mathscinet; Differ. Equ., 36:7 (2000), 1010–1020
10. V. N. Abrashin, A. A. Egorov, N. G. Zhadaeva, “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  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 44:11 (2000), 1–9 1
11. V. N. Abrashin, “Multicomponent iterative alternating direction methods”, Matem. Mod., 12:2 (2000),  45–58  mathnet  mathscinet  zmath 8
1999
12. V. N. Abrashin, N. G. Zhadaeva, “Additive iterative methods for solving stationary problems for the Navier–Stokes equations”, Differ. Uravn., 35:11 (1999),  1543–1552  mathnet  mathscinet; Differ. Equ., 35:11 (1999), 1561–1572
13. V. N. Abrashin, N. G. Zhadaeva, “On a composition method for constructing iterative algorithms for solving stationary problems in mathematical physics”, Differ. Uravn., 35:7 (1999),  948–957  mathnet  mathscinet; Differ. Equ., 35:7 (1999), 956–966 2
14. V. N. Abrashin, “On the stability of difference schemes of a multicomponent alternating direction method for parabolic equations and systems”, Differ. Uravn., 35:2 (1999),  212–224  mathnet  mathscinet; Differ. Equ., 35:2 (1999), 211–224 1
15. V. N. Abrashin, V. M. Volkov, A. A. Egorov, N. G. Zhadaeva, “On a class of difference methods for solving Navier–Stokes equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 1999, no. 5,  3–11  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 43:5 (1999), 1–9
1998
16. V. N. Abrashin, P. N. Vabishchevich, “Vector additive schemes for second-order evolution equations”, Differ. Uravn., 34:12 (1998),  1666–1674  mathnet  mathscinet; Differ. Equ., 34:12 (1998), 1673–1681 2
17. V. N. Abrashin, A. A. Egorov, “On an iterative domain decomposition method for solving problems of mathematical physics. II”, Differ. Uravn., 34:2 (1998),  266–271  mathnet  mathscinet; Differ. Equ., 34:2 (1998), 270–276
1997
18. V. N. Abrashin, “A decomposition method for solving first-order hyperbolic systems”, Differ. Uravn., 33:12 (1997),  1699–1701  mathnet  mathscinet; Differ. Equ., 33:12 (1997), 1703–1706
19. V. N. Abrashin, N. G. Zhadaeva, “A multicomponent alternating direction method for solving stationary problems of mathematical physics. II”, Differ. Uravn., 33:9 (1997),  1211–1219  mathnet  mathscinet; Differ. Equ., 33:9 (1997), 1216–1225
20. V. N. Abrashin, “On an iterative domain decomposition method for solving problems of mathematical physics. I”, Differ. Uravn., 33:7 (1997),  899–908  mathnet  mathscinet; Differ. Equ., 33:7 (1997), 902–911
1996
21. V. N. Abrashin, N. G. Zhadaeva, “A multicomponent alternating direction method for solving stationary problems of mathematical physics. I”, Differ. Uravn., 32:9 (1996),  1212–1221  mathnet  mathscinet; Differ. Equ., 32:9 (1996), 1213–1222 1
22. V. N. Abrashin, S. N. Lehtikov, “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  mathnet  mathscinet; Differ. Equ., 32:7 (1996), 893–901 1
23. V. N. Abrashin, “On a domain decomposition method in the solution of problems in mathematical physics”, Differ. Uravn., 32:5 (1996),  652–660  mathnet  mathscinet; Differ. Equ., 32:5 (1996), 658–667 1
1995
24. V. N. Abrashin, “On a subdomain decomposition method in the solution of problems in mathematical physics”, Differ. Uravn., 31:9 (1995),  1525–1535  mathnet  mathscinet  zmath; Differ. Equ., 31:9 (1995), 1481–1490 1
25. V. N. Abrashin, S. N. Lehtikov, “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  mathnet  mathscinet  zmath; Differ. Equ., 31:7 (1995), 1099–1109 1
26. V. N. Abrashin, “On a class of iterative methods for solving multidimensional problems in mathematical physics”, Differ. Uravn., 31:5 (1995),  840–848  mathnet  mathscinet; Differ. Equ., 31:5 (1995), 779–786
27. V. N. Abrashin, I. A. Dzyuba, S. L. Lapko, “Экономичные итерационные методы решения многомерных эллиптических уравнений”, Izv. Vyssh. Uchebn. Zaved. Mat., 1995, no. 4,  3–11  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 39:4 (1995), 1–8 1
1994
28. V. N. Abrashin, S. L. Lapko, “On a class of iterative methods for solving stationary Navier–Stokes equations. II”, Differ. Uravn., 30:12 (1994),  2094–2105  mathnet  mathscinet; Differ. Equ., 30:12 (1994), 1924–1934 1
29. V. N. Abrashin, I. A. Dzyuba, “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  mathnet  mathscinet; Differ. Equ., 30:7 (1994), 1082–1087
30. V. N. Abrashin, I. A. Dzyuba, “Efficient iterative methods for solving multidimensional problems in mathematical physics. II”, Differ. Uravn., 30:2 (1994),  281–291  mathnet  mathscinet; Differ. Equ., 30:2 (1994), 257–266
1993
31. V. N. Abrashin, S. L. Lapko, “A class of iterative methods for solving stationary Navier–Stokes equations. I”, Differ. Uravn., 29:9 (1993),  1561–1574  mathnet  mathscinet; Differ. Equ., 29:9 (1993), 1355–1366
32. V. N. Abrashin, “Efficient iterative methods for solving multidimensional problems in mathematical physics. I”, Differ. Uravn., 29:7 (1993),  1107–1116  mathnet  mathscinet; Differ. Equ., 29:7 (1993), 959–967
33. V. N. Abrashin, S. L. Lapko, “A class of difference schemes for the solution of Navier–Stokes equations. II”, Differ. Uravn., 29:4 (1993),  673–688  mathnet  mathscinet; Differ. Equ., 29:4 (1993), 574–585 2
1992
34. V. N. Abrashin, V. A. Mukha, “A class of efficient difference schemes for solving multidimensional problems in mathematical physics”, Differ. Uravn., 28:10 (1992),  1786–1799  mathnet  mathscinet; Differ. Equ., 28:10 (1992), 1458–1469 8
35. V. N. Abrashin, S. L. Lapko, “A class of difference schemes for the solution of Navier–Stokes equations. I”, Differ. Uravn., 28:7 (1992),  1154–1167  mathnet  mathscinet; Differ. Equ., 28:7 (1992), 917–930 4
36. V. N. Abrashin, I. A. Dzyuba, N. E. Kamenskaya, “Efficient methods for solving multidimensional thermoelasticity problems”, Differ. Uravn., 28:2 (1992),  290–305  mathnet  mathscinet  zmath; Differ. Equ., 28:2 (1992), 249–261
1991
37. V. N. Abrashin, A. O. Grubich, S. N. Sytova, “Nonlinear stage of development of the relativistic electron beam Cherenkov instability”, Matem. Mod., 3:8 (1991),  21–29  mathnet 1
1990
38. V. N. Abrashin, I. A. Dzyuba, “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  mathnet  mathscinet; Differ. Equ., 26:7 (1990), 860–869 1
39. V. N. Abrashin, A. N. Yakubenya, “Efficient schemes with explicit identification of a front for multidimensional problems with free boundaries. I”, Differ. Uravn., 26:6 (1990),  1055–1066  mathnet  mathscinet  zmath; Differ. Equ., 26:6 (1990), 777–787 1
40. V. N. Abrashin, “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  mathnet  mathscinet  zmath; Differ. Equ., 26:2 (1990), 243–250 16
1987
41. V. N. Abrashin, S. I. Golik, A. F. Kamornikov, “Efficient difference schemes for nonlinear hyperbolic equations. II”, Differ. Uravn., 23:7 (1987),  1107–1116  mathnet  mathscinet
1986
42. V. N. Abrashin, “A class of difference schemes for nonlinear nonstationary problems of mathematical physics. I”, Differ. Uravn., 22:7 (1986),  1107–1119  mathnet  mathscinet
1985
43. V. N. Abrashin, V. A. Mukha, “Efficient difference schemes for quasilinear transport equations”, Differ. Uravn., 21:7 (1985),  1264–1267  mathnet  mathscinet  zmath
44. V. N. Abrashin, S. I. Golik, “Efficient difference schemes for nonlinear hyperbolic equations. I”, Differ. Uravn., 21:7 (1985),  1107–1117  mathnet  mathscinet
45. V. N. Abrashin, P. A. Apanasevich, A. A. Afanas'ev, V. V. Drits, A. I. Urbanovich, “Transient wavefront reversal in four-wave interaction in resonant media”, Kvantovaya Elektronika, 12:3 (1985),  546–552  mathnet [Sov J Quantum Electron, 15:3 (1985), 357–361  isi] 3
1984
46. V. N. Abrashin, “Stable difference schemes for a system of Navier–Stokes equations”, Differ. Uravn., 20:7 (1984),  1276–1279  mathnet  mathscinet  zmath
47. V. N. Abrashin, A. A. Afanas'ev, V. V. Drits, “Difference methods in problems of light-induced diffraction in nonlinear media”, Differ. Uravn., 20:7 (1984),  1107–1118  mathnet  mathscinet
1982
48. V. N. Abrashin, “Stable difference schemes for quasilinear equations of mathematical physics”, Differ. Uravn., 18:11 (1982),  1967–1971  mathnet  mathscinet  zmath 1
49. V. N. Abrashin, “A difference scheme for the nonlinear heat equation”, Differ. Uravn., 18:7 (1982),  1271–1272  mathnet  mathscinet  zmath
50. V. N. Abrashin, V. A. Asmolik, “Locally one-dimensional difference schemes for multidimensional quasilinear hyperbolic equations”, Differ. Uravn., 18:7 (1982),  1107–1117  mathnet  mathscinet 3
1981
51. V. N. Abrashin, P. P. Matus, “On the accuracy of difference schemes for one-dimensional problems of gas dynamics”, Differ. Uravn., 17:7 (1981),  1155–1170  mathnet  mathscinet 4
52. V. N. Abrashin, “Difference schemes of gas dynamics”, Differ. Uravn., 17:4 (1981),  710–718  mathnet  mathscinet 1
1980
53. V. N. Abrashin, “The accuracy of three-layer difference schemes for quasilinear parabolic and hyperbolic equations”, Differ. Uravn., 16:11 (1980),  2087–2088  mathnet  mathscinet  zmath
54. V. N. Abrashin, V. A. Asmolik, “Uniform convergence of forward difference schemes for multidimensional quasilinear parabolic equations. II”, Differ. Uravn., 16:4 (1980),  684–696  mathnet  mathscinet  zmath
1979
55. V. N. Abrashin, V. A. Asmolik, “Uniform convergence of forward difference schemes for multidimensional quasilinear parabolic equations. I”, Differ. Uravn., 15:12 (1979),  2217–2227  mathnet  mathscinet  zmath
56. V. N. Abrashin, P. P. Matus, “Difference schemes for nonlinear hyperbolic equations with piecewise-smooth solutions. II”, Differ. Uravn., 15:7 (1979),  1225–1238  mathnet  mathscinet  zmath 2
1978
57. V. N. Abrashin, P. P. Matus, “Difference schemes for nonlinear hyperbolic equations with piecewise-smooth solutions. I”, Differ. Uravn., 14:12 (1978),  2223–2239  mathnet  mathscinet  zmath
58. V. N. Abrashin, V. I. Lis, “Difference schemes for quasilinear nonstationary problems. II”, Differ. Uravn., 14:8 (1978),  1478–1486  mathnet  mathscinet  zmath
59. V. N. Abrashin, V. A. Tsurko, “Difference schemes for parabolic equations with a nonlinear degeneracy. II”, Differ. Uravn., 14:7 (1978),  1215–1223  mathnet  mathscinet
1976
60. V. N. Abrashin, “On some difference schemes for radiant heat conduction problems”, Dokl. Akad. Nauk SSSR, 230:4 (1976),  753–756  mathnet  mathscinet  zmath
61. V. N. Abrashin, “Difference schemes for parabolic equations with a nonlinear degeneracy. I”, Differ. Uravn., 12:8 (1976),  1470–1484  mathnet  mathscinet  zmath
1975
62. V. N. Abrashin, L. I. Ivanova, “Difference schemes for multidimensional quasilinear parabolic equations”, Differ. Uravn., 11:5 (1975),  889–899  mathnet  mathscinet  zmath
63. V. N. Abrashin, “Difference schemes for a nonlinear parabolic equation that is not solved for the highest derivatives”, Differ. Uravn., 11:4 (1975),  694–707  mathnet  mathscinet  zmath 1
64. V. N. Abrashin, “Difference schemes for nonlinear hyperbolic equations. II”, Differ. Uravn., 11:2 (1975),  294–308  mathnet  mathscinet  zmath 4
1974
65. V. N. Abrashin, V. I. Lis, “Difference schemes for quasilinear nonstationary problems. I”, Differ. Uravn., 10:7 (1974),  1303–1311  mathnet  mathscinet  zmath
1973
66. V. N. Abrashin, P. A. Vakulchik, “Difference schemes of first order accuracy for quasilinear hyperbolic systems”, Differ. Uravn., 9:12 (1973),  2186–2201  mathnet  mathscinet  zmath
67. V. N. Abrashin, “Difference schemes for nonlinear hyperbolic equations. I”, Differ. Uravn., 9:11 (1973),  2029–2040  mathnet  mathscinet  zmath
68. V. N. Abrashin, P. A. Vakulchik, “Difference schemes of first order accuracy for quasilinear hyperbolic systems. I”, Differ. Uravn., 9:6 (1973),  1085–1098  mathnet  mathscinet  zmath
1970
69. V. N. Abrashin, “The method of lines for a conjugacy problem of a parabolic and a hyperbolic equation”, Differ. Uravn., 6:5 (1970),  924–928  mathnet  mathscinet  zmath
1968
70. V. N. Abrashin, “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  mathnet  mathscinet  zmath
2002
71. V. N. Abrashin, I. V. Gaishun, N. A. Izobov, V. A. Il'in, S. P. Kurdyumov, E. I. Moiseev, Yu. P. Popov, A. A. Samarskii, A. P. Favorski, “A. V. Gulin (A tribute on the occasion of his 60th birthday)”, Differ. Uravn., 38:7 (2002),  870–874  mathnet  mathscinet; Differ. Equ., 38:7 (2002), 920–924
2001
72. V. N. Abrashin, I. V. Gaishun, M. P. Galanin, A. V. Gulin, S. V. Emel'yanov, V. A. Il'in, D. P. Kostomarov, S. P. Kurdyumov, O. S. Mazhorova, E. I. Moiseev, S. I. Mukhin, A. A. Petrov, V. A. Sadovnichii, A. A. Samarskii, B. N. Chetverushkin, “Yurii Petrovich Popov (A Tribute in Honor of His Sixtieth Birthday)”, Differ. Uravn., 37:5 (2001),  579–585  mathnet  mathscinet; Differ. Equ., 37:5 (2001), 607–613
2000
73. V. N. Abrashin, I. V. Gaishun, V. A. Il'in, I. T. Kiguradze, S. K. Korovin, L. D. Kudryavtsev, A. B. Kurzhanskii, A. A. Martynyuk, V. M. Millionshchikov, Yu. A. Mitropol'skii, V. A. Pliss, N. Kh. Rozov, A. A. Samarskii, A. M. Samoilenko, T. K. Shemjakina, “Nikolai Alekseevich Izobov”, Differ. Uravn., 36:1 (2000),  3–11  mathnet  mathscinet; Differ. Equ., 36:1 (2000), 1–11 1
1999
74. V. N. Abrashin, A. A. Arsen'ev, I. V. Gaishun, A. V. Gulin, S. V. Emel'yanov, V. A. Il'in, D. P. Kostomarov, S. P. Kurdyumov, Yu. S. Osipov, Yu. P. Popov, V. A. Sadovnichii, “Aleksandr Andreevich Samarskiǐ (on the occasion of his eightieth birthday)”, Differ. Uravn., 35:2 (1999),  147–151  mathnet  mathscinet; Differ. Equ., 35:2 (1999), 145–150
1998
75. V. N. Abrashin, N. V. Zmitrenko, V. A. Il'in, A. P. Mikhailov, Yu. P. Popov, A. A. Samarskii, “Sergeǐ Pavlovich Kurdyumov (on the occasion of his seventieth birthday)”, Differ. Uravn., 34:11 (1998),  1443–1444  mathnet  mathscinet; Differ. Equ., 34:11 (1998), 1443–1444
1976
76. V. N. Abrashin, “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  mathnet  mathscinet

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