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Ostapenko, Vladimir Viktorovich
Statistics Math-Net.Ru
Total publications: 89
Scientific articles: 89
Talks: 2

Number of views:
This page:4786
Abstract pages:44482
Full texts:17177
Talk pages:821
Doctor of physico-mathematical sciences
Birth date: 22.04.1956
E-mail: ,

https://www.mathnet.ru/eng/person28409
https://ru.wikipedia.org/wiki/Ostapenko,_Vladimir_Viktorovich
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/655705
https://elibrary.ru/author_items.asp?authorid=3955
https://orcid.org/0000-0003-0464-2353
https://www.researchgate.net/profile/Vladimir-Ostapenko

Publications in Math-Net.Ru Citations
2026
1. V. A. Kolotilov, V. V. Ostapenko, N. A. Khandeeva, “Odd-order in space finite-difference schemes with higher accuracy in areas of shock waves influence”, Dokl. RAN. Math. Inf. Proc. Upr., 529 (2026),  26–36  mathnet  elib
2. O. A. Kovyrkina, V. A. Kolotilov, V. V. Ostapenko, N. A. Khandeeva, “Applying the Richardson extrapolation to increase the accuracy of shock capturing combined schemes”, Mat. Model., 38:2 (2026),  178–190  mathnet
2025
3. M. E. Ladonkina, V. V. Ostapenko, V. F. Tishkin, N. A. Khandeeva, “On the accuracy of the discontinuous Galerkin method inside centered rarefaction waves and in the areas of their influence”, Mat. Model., 37:1 (2025),  113–130  mathnet
4. V. A. Kolotilov, V. V. Ostapenko, N. A. Khandeeva, “Finite-difference scheme of the fifth order by space with the increased accuracy in areas of shock waves' influence”, Zh. Vychisl. Mat. Mat. Fiz., 65:4 (2025),  558–573  mathnet  elib; Comput. Math. Math. Phys., 65:4 (2025), 901–916 1
2024
5. V. V. Ostapenko, E. I. Polunina, N. A. Khandeeva, “On the accuracy of calculating invariants in centered rarefaction waves and in their influence area”, Dokl. RAN. Math. Inf. Proc. Upr., 518 (2024),  65–74  mathnet  elib; Dokl. Math., 110:1 (2024), 349–356
6. V. V. Ostapenko, E. I. Polunina, N. A. Khandeeva, “On increasing the accuracy of difference schemes when calculating centered rarefaction waves”, Mat. Model., 36:6 (2024),  119–134  mathnet
7. O. A. Kovyrkina, V. V. Ostapenko, E. I. Polunina, “On convergence of numerical schemes when calculating Riemann problems for shallow water equations”, Sib. Èlektron. Mat. Izv., 21:2 (2024),  171–202  mathnet 1
8. T. S. Sharifullina, A. A. Cherevko, V. V. Ostapenko, “Numerical simulation of two-phase porous medium flow with an active additive”, Zh. Vychisl. Mat. Mat. Fiz., 64:10 (2024),  1994–2004  mathnet  elib; Comput. Math. Math. Phys., 64:10 (2024), 2462–2471
2023
9. V. V. Ostapenko, E. I. Polunina, N. A. Khandeeva, “On the integral convergence of numerical schemes calculating gas-dynamic shock waves”, Dokl. RAN. Math. Inf. Proc. Upr., 513 (2023),  57–65  mathnet  elib; Dokl. Math., 108:2 (2023), 374–381
10. M. E. Ladonkina, O. A. Neklyudova, V. V. Ostapenko, V. F. Tishkin, “On the accuracy of discontinuous Galerkin method calculating gas-dynamic shock waves”, Dokl. RAN. Math. Inf. Proc. Upr., 510 (2023),  43–51  mathnet  elib; Dokl. Math., 107:2 (2023), 120–125 2
11. O. A. Kovyrkina, V. V. Ostapenko, “On accuracy of finite-difference schemes in calculations of centered rarefaction waves”, Mat. Model., 35:7 (2023),  83–96  mathnet; Math. Models Comput. Simul., 15:1 suppl. (2023), S54–S63 7
12. V. A. Kolotilov, A. A. Kurganov, V. V. Ostapenko, N. A. Khandeeva, Sh. Chu, “On the accuracy of shock-capturing schemes calculating gas-dynamic shock waves”, Zh. Vychisl. Mat. Mat. Fiz., 63:7 (2023),  1216–1224  mathnet  elib; Comput. Math. Math. Phys., 63:7 (2023), 1341–1349 3
2022
13. V. G. Romanov, V. V. Vedenyapin, V. V. Vasin, O. A. Kovyrkina, V. V. Ostapenko, V. F. Tishkin, I. V. Astashova, D. A. Lashin, A. V. Filinovskii, “Erratum to: Several Articles in Doklady Mathematics”, Dokl. RAN. Math. Inf. Proc. Upr., 506 (2022),  404–405  mathnet; Dokl. Math., 106:2 (2022), 404–405
14. O. A. Kovyrkina, V. V. Ostapenko, V. F. Tishkin, “On convergence of finite-difference shock-capturing schemes in regions of shock waves influence”, Dokl. RAN. Math. Inf. Proc. Upr., 504 (2022),  42–46  mathnet  mathscinet  elib; Dokl. Math., 105 (2022), 171–174 3
15. O. A. Kovyrkina, A. A. Kurganov, V. V. Ostapenko, “Comparative analysis of the accuracy of three different schemes in the calculation of shock waves”, Mat. Model., 34:10 (2022),  43–64  mathnet  mathscinet; Math. Models Comput. Simul., 15:3 (2023), 401–414 7
16. M. D. Bragin, O. A. Kovyrkina, M. E. Ladonkina, V. V. Ostapenko, V. F. Tishkin, N. A. Khandeeva, “Combined numerical schemes”, Zh. Vychisl. Mat. Mat. Fiz., 62:11 (2022),  1763–1803  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 62:11 (2022), 1743–1781 14
2021
17. V. V. Ostapenko, V. A. Kolotilov, “Application of the CABARET scheme for calculating discontinuous solutions of a hyperbolic system of conservation laws”, Dokl. RAN. Math. Inf. Proc. Upr., 501 (2021),  62–66  mathnet  zmath  elib 1
18. V. V. Ostapenko, N. A. Khandeeva, “To justification of the integral convergence method for studying the finite-difference schemes accuracy”, Mat. Model., 33:4 (2021),  45–59  mathnet; Math. Models Comput. Simul., 13:6 (2021), 1028–1037 1
19. M. E. Ladonkina, O. A. Nekliudova, V. V. Ostapenko, V. F. Tishkin, “On increasing the stability of the combined scheme of the discontinuous Galerkin method”, Mat. Model., 33:3 (2021),  98–108  mathnet; Math. Models Comput. Simul., 13:6 (2021), 979–985 2
20. O. A. Kovyrkina, V. V. Ostapenko, “On accuracy of MUSCL type scheme when calculating discontinuous solutions”, Mat. Model., 33:1 (2021),  105–121  mathnet; Math. Models Comput. Simul., 13:5 (2021), 810–819 4
21. A. A. Cherevko, T. S. Gologush, V. V. Ostapenko, “Search for an optimal solution of the problem of arteriovenous malformation embolization by the particle swarm method”, Prikl. Mekh. Tekh. Fiz., 62:4 (2021),  9–21  mathnet  elib; J. Appl. Mech. Tech. Phys., 62:4 (2021), 530–541 1
22. T. S. Gologush, V. V. Ostapenko, A. A. Cherevko, “Mathematical modeling of embolization of arteriovenous malformations with overflows on the basis of the two-phase filtering”, Zh. Vychisl. Mat. Mat. Fiz., 61:9 (2021),  1571–1584  mathnet  elib; Comput. Math. Math. Phys., 61:9 (2021), 1546–1558  isi  scopus
2020
23. O. A. Kovyrkina, V. V. Ostapenko, “Accuracy of MUSCL-type schemes in shock wave calculations”, Dokl. RAN. Math. Inf. Proc. Upr., 492 (2020),  43–48  mathnet  zmath  elib; Dokl. Math., 101:3 (2020), 209–213 9
24. V. V. Ostapenko, T. V. Protopopova, “On monotonicity of CABARET scheme approximating the multidimensional scalar conservation law”, Sib. Zh. Vychisl. Mat., 23:4 (2020),  431–440  mathnet; Num. Anal. Appl., 13:4 (2020), 360–367  isi
2018
25. M. E. Ladonkina, O. A. Neklyudova, V. V. Ostapenko, V. F. Tishkin, “Research on the accuracy of the discontinuous Galerkin method in the calculation of solutions with shock waves”, Keldysh Institute preprints, 2018, 195, 20 pp.  mathnet  elib 2
26. N. A. Zyuzina, O. A. Kovyrkina, V. V. Ostapenko, “On the monotonicity of the CABARET scheme approximating a scalar conservation law with alternating characteristic field”, Mat. Model., 30:5 (2018),  76–98  mathnet; Math. Models Comput. Simul., 11:1 (2019), 46–60 3
27. V. V. Ostapenko, “On strong monotonicity of two-layer in time CABARET scheme”, Mat. Model., 30:5 (2018),  5–18  mathnet; Math. Models Comput. Simul., 11:1 (2019), 1–8
28. N. A. Zyuzina, V. V. Ostapenko, E. I. Polunina, “Splitting method for CABARET scheme approximating the non-uniform scalar conservation law”, Sib. Zh. Vychisl. Mat., 21:2 (2018),  185–200  mathnet  elib; Num. Anal. Appl., 11:2 (2018), 146–157  isi  elib  scopus 2
29. N. A. Zyuzina, V. V. Ostapenko, “Exact solutions with centered waves in the film flow model considering heat and mass transfer at the interface”, Sib. J. Pure and Appl. Math., 18:1 (2018),  64–72  mathnet
30. O. A. Kovyrkina, V. V. Ostapenko, “Monotonicity of the CABARET scheme approximating a hyperbolic system of conservation laws”, Zh. Vychisl. Mat. Mat. Fiz., 58:9 (2018),  1488–1504  mathnet  elib; Comput. Math. Math. Phys., 58:9 (2018), 1435–1450  isi  scopus 7
31. M. E. Ladonkina, O. A. Neklyudova, V. V. Ostapenko, V. F. Tishkin, “On the accuracy of the discontinuous Galerkin method in calculation of shock waves”, Zh. Vychisl. Mat. Mat. Fiz., 58:8 (2018),  148–156  mathnet  elib; Comput. Math. Math. Phys., 58:8 (2018), 1344–1353  isi  scopus 32
32. N. A. Zyuzina, V. V. Ostapenko, “Decay of unstable strong discontinuities in the case of a convex-flux scalar conservation law approximated by the CABARET scheme”, Zh. Vychisl. Mat. Mat. Fiz., 58:6 (2018),  988–1012  mathnet  elib; Comput. Math. Math. Phys., 58:6 (2018), 950–966  isi  scopus 3
2016
33. O. A. Kovyrkina, V. V. Ostapenko, “Monotonicity of the CABARET scheme approximating a hyperbolic equation with a sign-changing characteristic field”, Zh. Vychisl. Mat. Mat. Fiz., 56:5 (2016),  796–815  mathnet  elib; Comput. Math. Math. Phys., 56:5 (2016), 783–801  isi  scopus 8
2015
34. N. A. Zyuzina, V. V. Ostapenko, “Modification of the Cabaret scheme ensuring its high accuracy on local extrema”, Mat. Model., 27:10 (2015),  21–31  mathnet  elib; Math. Models Comput. Simul., 8:3 (2016), 231–237
35. V. V. Kuznetsova, V. V. Ostapenko, “Wave flows initiated by vertical lifting of a rectangular beam from shallow water”, Prikl. Mekh. Tekh. Fiz., 56:5 (2015),  102–110  mathnet  elib; J. Appl. Mech. Tech. Phys., 56:5 (2015), 823–830 3
36. V. V. Ostapenko, A. V. Speshilova, A. A. Cherevko, A. P. Chupakhin, “Numerical simulation of wave motions on a rotating attracting spherical zone”, Zh. Vychisl. Mat. Mat. Fiz., 55:3 (2015),  469–487  mathnet  mathscinet  zmath  elib; Comput. Math. Math. Phys., 55:3 (2015), 470–486  isi  elib  scopus
2014
37. V. V. Degtyarev, V. V. Ostapenko, O. A. Kovyrkina, A. V. Zolotykh, “Comparison of theory and experiment in simulation of dam break in a rectangular channel with a sudden change in cross-sectional area”, Prikl. Mekh. Tekh. Fiz., 55:6 (2014),  107–113  mathnet  elib; J. Appl. Mech. Tech. Phys., 55:6 (2014), 999–1004 4
38. V. V. Ostapenko, “Conservation laws of shallow water theory and the Galilean relativity principle”, Sib. Zh. Ind. Mat., 17:1 (2014),  99–113  mathnet  mathscinet; J. Appl. Industr. Math., 8:2 (2014), 274–286 4
2013
39. O. A. Kovyrkina, V. V. Ostapenko, “On the practical accuracy of shock-capturing schemes”, Mat. Model., 25:9 (2013),  63–74  mathnet  mathscinet; Math. Models Comput. Simul., 6:2 (2014), 183–191  scopus 25
2012
40. O. A. Kovyrkina, V. V. Ostapenko, “On monotony of two layer in time cabaret scheme”, Mat. Model., 24:9 (2012),  97–112  mathnet  mathscinet  elib; Math. Models Comput. Simul., 5:2 (2013), 180–189  scopus 19
41. V. V. Ostapenko, “Dam-break flows at a jump in the width of a rectangular channel”, Prikl. Mekh. Tekh. Fiz., 53:5 (2012),  55–66  mathnet  elib; J. Appl. Mech. Tech. Phys., 53:5 (2012), 679–689 9
42. V. V. Ostapenko, “On compact approximations of divergent differential equations”, Sib. Zh. Vychisl. Mat., 15:3 (2012),  293–306  mathnet  elib; Num. Anal. Appl., 5:3 (2012), 242–253  scopus 1
43. V. V. Ostapenko, “On the strong monotonicity of the CABARET scheme”, Zh. Vychisl. Mat. Mat. Fiz., 52:3 (2012),  447–460  mathnet  zmath  elib; Comput. Math. Math. Phys., 52:3 (2012), 387–399  isi  elib  scopus 24
2011
44. P. E. Karabut, V. V. Ostapenko, “Problem of the decay of a small-amplitude discontinuity in two-layer shallow water: First approximation”, Prikl. Mekh. Tekh. Fiz., 52:5 (2011),  27–38  mathnet  elib; J. Appl. Mech. Tech. Phys., 52:5 (2011), 698–708 2
2010
45. A. V. Ivanova, V. V. Ostapenko, A. P. Chupakhin, “Numerical Simulation of Shallow Water Flows on the Rotating Attractive Sphere”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 10:3 (2010),  30–45  mathnet 1
2009
46. V. V. Ostapenko, “On monotony of balance-characteristic scheme”, Mat. Model., 21:7 (2009),  29–42  mathnet  mathscinet 26
2008
47. V. V. Alekhin, B. D. Annin, V. V. Ostapenko, “On a mechanical analogy in the ideal plasticity theory”, Prikl. Mekh. Tekh. Fiz., 49:4 (2008),  74–80  mathnet  elib; J. Appl. Mech. Tech. Phys., 49:4 (2008), 580–586
48. A. V. Gusev, V. V. Ostapenko, A. A. Malysheva, I. A. Malysheva, “Open-channel waves generated by propagation of a discontinuous wave over a bottom step”, Prikl. Mekh. Tekh. Fiz., 49:1 (2008),  31–44  mathnet  elib; J. Appl. Mech. Tech. Phys., 49:1 (2008), 23–33 8
49. M. V. Buntina, V. V. Ostapenko, “TVD scheme for computing open channel wave flows”, Zh. Vychisl. Mat. Mat. Fiz., 48:12 (2008),  2212–2224  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 48:12 (2008), 2241–2253  isi  elib  scopus 6
2007
50. V. V. Ostapenko, “Modified shallow water equations which admit the propagation of discontinuous waves over a dry bed”, Prikl. Mekh. Tekh. Fiz., 48:6 (2007),  22–43  mathnet  elib; J. Appl. Mech. Tech. Phys., 48:6 (2007), 795–812 17
51. O. A. Kovyrkina, V. V. Ostapenko, “Asymptotic expansion of a difference solution in the neighborhood of strong discontinuity”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 7:4 (2007),  49–73  mathnet
2006
52. V. V. Ostapenko, A. A. Malysheva, “Flows resulting from the incidence of a discontinuous wave on a bottom step”, Prikl. Mekh. Tekh. Fiz., 47:2 (2006),  8–22  mathnet  elib; J. Appl. Mech. Tech. Phys., 47:2 (2006), 157–168 2
53. N. M. Borisova, V. V. Ostapenko, “Numerical simulation of discontinuous waves propagating over a dry bed”, Zh. Vychisl. Mat. Mat. Fiz., 46:7 (2006),  1322–1344  mathnet  mathscinet; Comput. Math. Math. Phys., 46:7 (2006), 1254–1276  scopus 9
2005
54. O. A. Kovyrkina, V. V. Ostapenko, “Construction of asymptotics of a discrete solution based on nonclassical differential approximations”, Zh. Vychisl. Mat. Mat. Fiz., 45:1 (2005),  88–109  mathnet  mathscinet  zmath  elib; Comput. Math. Math. Phys., 45:1 (2005), 83–103  elib 1
2003
55. V. V. Ostapenko, “Dam-break flows over a bottom drop”, Prikl. Mekh. Tekh. Fiz., 44:6 (2003),  107–122  mathnet  elib; J. Appl. Mech. Tech. Phys., 44:6 (2003), 839–851 8
56. V. V. Ostapenko, “Dam-break flows over a bottom step”, Prikl. Mekh. Tekh. Fiz., 44:4 (2003),  51–63  mathnet  elib; J. Appl. Mech. Tech. Phys., 44:4 (2003), 495–505 12
57. N. M. Borisova, V. V. Ostapenko, “On accuracy of the shock wave computations by the shock-fitting method”, Zh. Vychisl. Mat. Mat. Fiz., 43:10 (2003),  1494–1516  mathnet  mathscinet  zmath  elib; Comput. Math. Math. Phys., 43:10 (2003), 1437–1458 1
2002
58. V. V. Ostapenko, “Discontinuous solutions of the “shallow water” equations for flow over a bottom step”, Prikl. Mekh. Tekh. Fiz., 43:6 (2002),  62–74  mathnet  elib; J. Appl. Mech. Tech. Phys., 43:6 (2002), 836–846 14
59. V. V. Ostapenko, “Symmetric compact schemes with artificial viscosities of increased order of divergence”, Zh. Vychisl. Mat. Mat. Fiz., 42:7 (2002),  1019–1038  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 42:7 (2002), 980–999 24
2000
60. A. F. Voevodin, V. V. Ostapenko, “On calculation of hydraulic bore in open channels”, Sib. Zh. Vychisl. Mat., 3:4 (2000),  305–321  mathnet  zmath 7
61. V. V. Ostapenko, “Construction of high-order accurate shock-capturing finite difference schemes for unsteady shock waves”, Zh. Vychisl. Mat. Mat. Fiz., 40:12 (2000),  1857–1874  mathnet  mathscinet  zmath  elib; Comput. Math. Math. Phys., 40:12 (2000), 1784–1800 44
1999
62. V. V. Ostapenko, “Complete systems of conservation laws for two-layer shallow water models”, Prikl. Mekh. Tekh. Fiz., 40:5 (1999),  23–32  mathnet  elib; J. Appl. Mech. Tech. Phys., 40:5 (1999), 796–804 5
63. V. V. Ostapenko, “Numerical simulation of wave flows caused by a shoreside landslide”, Prikl. Mekh. Tekh. Fiz., 40:4 (1999),  109–117  mathnet  elib; J. Appl. Mech. Tech. Phys., 40:4 (1999), 647–654 11
64. V. V. Ostapenko, “Finite difference scheme of high order of convergence at a nonstationary shock wave”, Sib. Zh. Vychisl. Mat., 2:1 (1999),  47–56  mathnet  zmath 4
65. V. V. Ostapenko, “Strong monotonicity of finite-difference schemes for systems of conservation laws”, Zh. Vychisl. Mat. Mat. Fiz., 39:10 (1999),  1687–1704  mathnet  mathscinet  zmath  elib; Comput. Math. Math. Phys., 39:10 (1999), 1619–1635 7
1998
66. V. V. Ostapenko, “Approximation of Hugoniot's conditions by explicit conservative difference schemes for non-stationar shock waves”, Sib. Zh. Vychisl. Mat., 1:1 (1998),  77–88  mathnet  mathscinet  zmath 3
67. V. V. Ostapenko, “On the strong monotonicity of three-point difference schemes”, Sibirsk. Mat. Zh., 39:6 (1998),  1357–1367  mathnet  mathscinet  zmath; Siberian Math. J., 39:6 (1998), 1174–1183  isi 8
68. V. V. Ostapenko, “On the monotonicity of difference schemes”, Sibirsk. Mat. Zh., 39:5 (1998),  1111–1126  mathnet  mathscinet  zmath; Siberian Math. J., 39:5 (1998), 959–972  isi 19
69. V. V. Ostapenko, “Finite-difference approximation of the Hugoniot conditions on a shock front propagating with variable velocity”, Zh. Vychisl. Mat. Mat. Fiz., 38:8 (1998),  1355–1367  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 38:8 (1998), 1299–1311 23
70. V. V. Ostapenko, “On the strong monotonicity of nonlinear difference schemes”, Zh. Vychisl. Mat. Mat. Fiz., 38:7 (1998),  1170–1185  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 38:7 (1998), 1119–1133 27
1997
71. V. V. Ostapenko, “Convergence of finite-difference schemes behind a shock front”, Zh. Vychisl. Mat. Mat. Fiz., 37:10 (1997),  1201–1212  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 37:10 (1997), 1161–1172 43
72. V. V. Ostapenko, “Weak finite difference approximation of a divergence differential operator of arbitrary order”, Zh. Vychisl. Mat. Mat. Fiz., 37:5 (1997),  637–640  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 37:5 (1997), 622–625 1
1996
73. V. V. Ostapenko, “A method of increasing the order of the weak approximation of the laws of conservation on discontinuous solutions”, Zh. Vychisl. Mat. Mat. Fiz., 36:10 (1996),  146–157  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 36:10 (1996), 1443–1451  isi 13
1995
74. V. V. Ostapenko, “Canonical representations of standard difference approximations of differential operators”, Zh. Vychisl. Mat. Mat. Fiz., 35:8 (1995),  1175–1183  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 35:8 (1995), 941–947  isi 1
75. V. V. Ostapenko, “Difference schemes of the balance method on a non-uniform mesh”, Zh. Vychisl. Mat. Mat. Fiz., 35:6 (1995),  893–904  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 35:6 (1995), 709–717  isi
1993
76. V. V. Ostapenko, “A method for reconstructing a difference operator in divergence form from its differential-difference analogues in divergence form”, Dokl. Akad. Nauk, 332:3 (1993),  291–293  mathnet  mathscinet  zmath; Dokl. Math., 48:2 (1994), 308–313
77. V. V. Ostapenko, “Asymptotic decomposition of numerical solution of the front of shock wave”, Mat. Model., 5:2 (1993),  94–103  mathnet  mathscinet  zmath 3
78. V. V. Ostapenko, “Approximation of the conservation laws on a non-uniform difference mesh”, Zh. Vychisl. Mat. Mat. Fiz., 33:11 (1993),  1663–1680  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 33:11 (1993), 1459–1472  isi 4
79. V. V. Ostapenko, “Start-to-finish calculation of continuous waves in open channels”, Zh. Vychisl. Mat. Mat. Fiz., 33:5 (1993),  743–752  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 33:5 (1993), 663–670  isi 7
1992
80. V. V. Ostapenko, “Expansion of the difference solution on the front of a traveling shock wave”, Zh. Vychisl. Mat. Mat. Fiz., 32:2 (1992),  296–310  mathnet  mathscinet; Comput. Math. Math. Phys., 32:2 (1992), 245–256  isi 2
1991
81. V. V. Ostapenko, “Expansion of the difference solution of the front of a shock wave”, Dokl. Akad. Nauk SSSR, 320:2 (1991),  275–279  mathnet  mathscinet  zmath; Dokl. Math., 44:2 (1992), 430–435 4
1990
82. V. V. Ostapenko, “Approximation of conservation laws by difference schemes of double sweep calculation”, Dokl. Akad. Nauk SSSR, 313:6 (1990),  1348–1352  mathnet  mathscinet  zmath; Dokl. Math., 42:1 (1991), 206–210
83. V. V. Ostapenko, “On a local fulfilment of conservation laws at the “smoothed” shock wave front”, Mat. Model., 2:7 (1990),  129–138  mathnet  mathscinet  zmath 4
84. V. V. Ostapenko, “Approximation of conservation laws by high-resolution difference schemes”, Zh. Vychisl. Mat. Mat. Fiz., 30:9 (1990),  1405–1417  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 30:5 (1990), 91–100 19
1989
85. V. V. Ostapenko, “Divergence of difference operators that are defined on an inhomogeneous difference grid”, Dokl. Akad. Nauk SSSR, 304:6 (1989),  1295–1298  mathnet  mathscinet  zmath; Dokl. Math., 39:1 (1989), 206–209
86. V. V. Ostapenko, “Equivalent definitions of conservative finite-difference schemes”, Zh. Vychisl. Mat. Mat. Fiz., 29:8 (1989),  1114–1128  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 29:4 (1989), 100–110 18
1987
87. V. V. Ostapenko, “A method for theoretical estimation of disbalances of nonconservative difference schemes on a shock wave”, Dokl. Akad. Nauk SSSR, 295:2 (1987),  292–297  mathnet  mathscinet; Dokl. Math., 36:1 (1988), 64–68 7
1986
88. V. V. Ostapenko, “The convergence on a shock wave of continuous calculation difference schemes which are invariant with respect to similarity transformations”, Zh. Vychisl. Mat. Mat. Fiz., 26:11 (1986),  1661–1678  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 26:6 (1986), 39–50 6
1985
89. V. V. Ostapenko, “Conservatism of finite-difference schemes”, Dokl. Akad. Nauk SSSR, 284:1 (1985),  47–50  mathnet  mathscinet  zmath

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