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Makarov, Vladimir Leonidovich
Statistics Math-Net.Ru
Total publications: 74
Scientific articles: 72

Number of views:
This page:2935
Abstract pages:10540
Full texts:4672
References:357

https://www.mathnet.ru/eng/person37650
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List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/118535

Publications in Math-Net.Ru Citations
2014
1. V. L. Makarov, N. N. Romaniuk, “New implementation of the FD-method for Sturm–Liouville problems with Dirichlet–Neumann boundary conditions”, Tr. Inst. Mat., 22:1 (2014),  98–106  mathnet
2004
2. Ī. Ī. Lazurchak, V. L. Makarov, “A Two-Sided Functional-Discrete Method for Second-Order Differential Equations with General Boundary Conditions”, Differ. Uravn., 40:7 (2004),  964–977  mathnet  mathscinet; Differ. Equ., 40:7 (2004), 1029–1042
2002
3. B. I. Bandyrskii, Ī. Ī. Lazurchak, V. L. Makarov, “A functional difference method for solving left-definite Sturm–Liouville problems with an eigenparameter in the boundary conditions”, Zh. Vychisl. Mat. Mat. Fiz., 42:5 (2002),  676–689  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 42:5 (2002), 646–659 1
2000
4. B. I. Bandyrskii, V. L. Makarov, “Sufficient conditions for the eigenvalues of the operator $-d^2/dx^2+q(x)$ under the Ionkin–Samarskii conditions”, Zh. Vychisl. Mat. Mat. Fiz., 40:12 (2000),  1787–1800  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 40:12 (2000), 1715–1728 4
1999
5. Ī. Ī. Lazurchak, V. L. Makarov, “A two-sided FD-method for solving the Dirichlet problem for the Helmholtz equation”, Differ. Uravn., 35:3 (1999),  388–395  mathnet  mathscinet; Differ. Equ., 35:3 (1999), 391–398
6. B. I. Bandyrskii, V. L. Makarov, O. L. Ukhanev, “Sufficient conditions for the convergence of nonclassical asymptotic expansions for the Sturm–Liouville problem with periodic conditions”, Differ. Uravn., 35:3 (1999),  367–378  mathnet  mathscinet; Differ. Equ., 35:3 (1999), 369–381 1
7. M. V. Kutniv, V. L. Makarov, A. A. Samarskii, “Accurate three-point difference schemes for second-order nonlinear ordinary differential equations and their implementation”, Zh. Vychisl. Mat. Mat. Fiz., 39:1 (1999),  45–60  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 39:1 (1999), 40–55 7
1998
8. I. P. Gavriljuk, V. L. Makarov, N. A. Rossokhata, V. K. Rossokhaty, “Analysis of structures based on graded semiconductor compound”, Matem. Mod., 10:11 (1998),  63–81  mathnet  mathscinet
1997
9. V. L. Makarov, Ī. Ī. Lazurchak, “A two-sided functional-discrete method for solving boundary value problems for second-order ordinary differential equations”, Differ. Uravn., 33:7 (1997),  955–962  mathnet  mathscinet; Differ. Equ., 33:7 (1997), 959–966
10. V. L. Makarov, Yu. Yu. Khamraev, “Difference schemes of a high-order of accuracy for degenerate systems of differential equations on nonuniform grids”, Differ. Uravn., 33:3 (1997),  410–415  mathnet  mathscinet; Differ. Equ., 33:3 (1997), 410–416
1994
11. V. L. Makarov, V. V. Khlobystov, “Raising the accuracy of approximations of polynomial operators in Hilbert spaces by the interpolation method”, Dokl. Akad. Nauk, 334:1 (1994),  20–22  mathnet  mathscinet  zmath; Dokl. Math., 49:1 (1994), 20–24
12. V. L. Makarov, V. V. Guminsky, “A three-point difference scheme of a high order of accuracy for a system of second-order ordinary differential equations (the nonselfadjoint case)”, Differ. Uravn., 30:3 (1994),  493–502  mathnet  mathscinet; Differ. Equ., 30:3 (1994), 457–465 2
13. V. L. Makarov, V. V. Guminsky, “FD-schemes of any order of accuracy (uniform with respect to $\epsilon$) for singularly perturbed systems of second-order ordinary differential equations with piecewise-smooth coefficients”, Differ. Uravn., 30:2 (1994),  292–301  mathnet  mathscinet; Differ. Equ., 30:2 (1994), 267–275
14. I. P. Gavriljuk, V. L. Makarov, “The Cayley transform and the solution of an initial value problem for a first order differential equation with an unbounded operator coefficient in Hilbert space”, Matem. Mod., 6:6 (1994),  94–107  mathnet  mathscinet  zmath
1993
15. V. L. Makarov, V. V. Khlobystov, “Polynomial interpolation of operators in vector spaces”, Dokl. Akad. Nauk, 329:2 (1993),  135–139  mathnet  mathscinet  zmath; Dokl. Math., 47:2 (1993), 205–210
16. V. L. Makarov, S. V. Makarov, M. N. Moskal'kov, “Spectral properties of the Laplace difference operator on a hexagonal grid, and some of their applications”, Differ. Uravn., 29:7 (1993),  1216–1221  mathnet  mathscinet; Differ. Equ., 29:7 (1993), 1054–1059 1
1992
17. V. L. Makarov, V. V. Khlobystov, “Hermitian interpolation of operators in Hilbert spaces”, Dokl. Akad. Nauk, 327:2 (1992),  183–186  mathnet  mathscinet  zmath; Dokl. Math., 46:3 (1993), 435–438
18. V. L. Makarov, V. V. Khlobystov, “Polynomial interpolation of operators in Hilbert spaces”, Dokl. Akad. Nauk, 324:4 (1992),  742–745  mathnet  mathscinet  zmath; Dokl. Math., 45:3 (1992), 624–628
19. N. I. Ionkin, V. L. Makarov, D. G. Furletov, “Stability and convergence of difference schemes in Chebyshev norm for parabolic equation with nonlocal boundary condition”, Matem. Mod., 4:4 (1992),  63–73  mathnet  mathscinet  zmath
1991
20. V. L. Makarov, V. V. Khlobystov, “Polynomial interpolation of nonlinear functionals”, Dokl. Akad. Nauk SSSR, 321:3 (1991),  470–473  mathnet  mathscinet  zmath; Dokl. Math., 44:3 (1992), 721–725
21. V. L. Makarov, “A functional-difference method of arbitrary order of accuracy for solving the Sturm–Liouville problem with piecewise-smooth coefficients”, Dokl. Akad. Nauk SSSR, 320:1 (1991),  34–39  mathnet  mathscinet  zmath; Dokl. Math., 44:2 (1992), 391–396 2
22. V. L. Makarov, V. V. Khlobystov, “On the general structure of polynomial functional interpolants”, Dokl. Akad. Nauk SSSR, 318:4 (1991),  805–808  mathnet  mathscinet  zmath; Dokl. Math., 43:3 (1991), 771–774
23. I. P. Gavriljuk, V. L. Makarov, N. A. Rossokhataya, “A mathematical model of a varyzone semiconductor diode with re-emission”, Zh. Vychisl. Mat. Mat. Fiz., 31:6 (1991),  887–900  mathnet  mathscinet; U.S.S.R. Comput. Math. Math. Phys., 31:6 (1991), 76–87  isi
1990
24. V. L. Makarov, A. A. Samarskii, “Exact three-point difference schemes for second-order nonlinear ordinary differential equations and their realization”, Dokl. Akad. Nauk SSSR, 312:4 (1990),  795–800  mathnet  mathscinet  zmath; Dokl. Math., 41:3 (1990), 495–500 4
25. A. A. Samarskii, V. L. Makarov, “Realization of exact three-point difference schemes for second-order ordinary differential equations with piecewise smooth coefficients”, Dokl. Akad. Nauk SSSR, 312:3 (1990),  538–543  mathnet  mathscinet  zmath; Dokl. Math., 41:3 (1990), 463–467 2
26. A. A. Samarskii, V. L. Makarov, “Realization of exact three-point difference schemes for second-order ordinary differential equations with piecewise-smooth coefficients”, Differ. Uravn., 26:7 (1990),  1254–1265  mathnet  mathscinet  zmath; Differ. Equ., 26:7 (1990), 922–930 2
1989
27. V. L. Makarov, V. V. Khlobystov, “An interpolation formula of Newton type for nonlinear functionals”, Dokl. Akad. Nauk SSSR, 307:3 (1989),  534–537  mathnet  mathscinet  zmath; Dokl. Math., 40:1 (1990), 106–109
28. V. L. Makarov, S. V. Makarov, “Accuracy of a difference scheme for quasilinear elliptic equations in a rhombus with solutions in the class $W_2^k(\Omega)$, $1<k\le4$”, Differ. Uravn., 25:7 (1989),  1240–1249  mathnet  mathscinet  zmath; Differ. Equ., 25:7 (1989), 884–892
1988
29. V. L. Makarov, V. V. Khlobystov, “An interpolation method for solving the identification problem for a function system described by the Uryson operator”, Dokl. Akad. Nauk SSSR, 300:6 (1988),  1332–1336  mathnet  mathscinet  zmath; Dokl. Math., 33:6 (1988), 406–407
30. S. A. Voitsekhovskii, V. L. Makarov, Yu. I. Rybak, “Estimates for the rate of convergence of the difference approximation of the Dirichlet problem for the equation $-\Delta u+\sum_{|\alpha|\le1}(-1)^{|\alpha|}D^\alpha q_\alpha(x)u=f(x)$ for $q_\alpha(x)\in W_\infty^{\lambda|\alpha|}(\Omega)$, $\lambda\in(0,1]$”, Differ. Uravn., 24:11 (1988),  1987–1994  mathnet  mathscinet  zmath; Differ. Equ., 24:11 (1988), 1338–1344
1987
31. S. A. Voitsekhovskii, I. P. Gavriljuk, V. L. Makarov, “Convergence of difference solutions to generalized solutions of the first boundary value problem for a fourth-order elliptic operator in domains of arbitrary form”, Differ. Uravn., 23:8 (1987),  1403–1407  mathnet  mathscinet
32. V. M. Kalinin, V. L. Makarov, “An estimate for the rate of convergence of a difference scheme in the$L_2$-norm for the third boundary value problem of axisymmetric elasticity theory on solutions in $W_2^1(\Omega)$”, Differ. Uravn., 23:7 (1987),  1207–1219  mathnet  mathscinet  zmath
33. V. L. Makarov, A. I. Ryzhenko, “Compatible convergence-rate estimates of the mesh method for the axisymmetric Poisson equation in spherical coordinates”, Zh. Vychisl. Mat. Mat. Fiz., 27:8 (1987),  1252–1255  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 27:4 (1987), 195–197 1
34. V. L. Makarov, A. I. Ryzhenko, “Matched estimates of the rate of convergence of the net method for Poisson's equation in polar coordinates”, Zh. Vychisl. Mat. Mat. Fiz., 27:6 (1987),  867–874  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 27:3 (1987), 147–152 1
1986
35. V. L. Makarov, V. M. Kalinin, “Consistent estimates for the rate of convergence of difference schemes in $L_2$-norm for the third boundary value problem of elasticity theory”, Differ. Uravn., 22:7 (1986),  1265–1268  mathnet  mathscinet  zmath 2
36. I. P. Gavriljuk, V. L. Makarov, “Exact difference schemes for a class of nonlinear boundary value problems and their application”, Differ. Uravn., 22:7 (1986),  1155–1165  mathnet  mathscinet
37. V. L. Makarov, M. N. Moskal'kov, “The accuracy of difference schemes in the class of generalized solutions of an elliptic equation with variable coefficients in an arbitrary convex domain”, Differ. Uravn., 22:6 (1986),  1046–1054  mathnet  mathscinet 1
38. A. M. Kuzyk, V. L. Makarov, “The rate of convergence of a difference scheme using the sum approximation method for generalized solutions”, Zh. Vychisl. Mat. Mat. Fiz., 26:6 (1986),  941–946  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 26:3 (1986), 192–196 2
1985
39. I. N. Djuraev, T. V. Kolesnik, V. L. Makarov, “On the accuracy of the method of lines for second-order quasilinear hyperbolic equations with a small parameter multiplying the highest time derivative”, Differ. Uravn., 21:7 (1985),  1164–1170  mathnet  mathscinet  zmath
40. V. L. Makarov, D. T. Kulyev, “Solution of a boundary value problem for a quasilinear equation of parabolic type with nonclassical boundary condition”, Differ. Uravn., 21:2 (1985),  296–305  mathnet  mathscinet
41. I. P. Gavriljuk, V. M. Luzhnyh, V. L. Makarov, “Exact and truncated difference schemes for boundary value problems with degeneration”, Differ. Uravn., 21:2 (1985),  285–295  mathnet  mathscinet  zmath
42. I. P. Gavriljuk, V. L. Makarov, “Difference schemes in discrete $L_2$-space for a class of problems with nonlinear boundary condition”, Izv. Vyssh. Uchebn. Zaved. Mat., 1985, no. 10,  31–38  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 29:10 (1985), 39–48
43. S. A. Voitsekhovskii, V. L. Makarov, V. N. Novichenko, “Estimation of the rate of convergence of difference schemes for quasilinear fourth order elliptic equations”, Zh. Vychisl. Mat. Mat. Fiz., 25:11 (1985),  1725–1729  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 25:6 (1985), 90–92
44. S. A. Voitsekhovskii, V. L. Makarov, T. G. Shablii, “The convergence of difference solutions to the generalized solutions of the Dirichlet problem for the Helmholtz equation in a convex polygon”, Zh. Vychisl. Mat. Mat. Fiz., 25:9 (1985),  1336–1345  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 25:5 (1985), 36–43 1
1984
45. A. M. Kuzyk, V. L. Makarov, “Estimation of the accuracy of the method of summary approximation of the solution of an abstract Cauchy problem”, Dokl. Akad. Nauk SSSR, 275:2 (1984),  297–301  mathnet  mathscinet  zmath 1
46. Sh. A. Burkhanov, V. L. Makarov, “Exact and truncated difference schemes for a fourth-order ordinary differential equation”, Differ. Uravn., 20:9 (1984),  1502–1514  mathnet  mathscinet 1
1983
47. S. A. Voitsekhovskii, V. L. Makarov, A. A. Samarskii, T. G. Shablii, “On an estimate of the rate of convergence of difference solutions to generalized solutions of the Dirichlet problem for the Helmholtz equation in a convex polygon”, Dokl. Akad. Nauk SSSR, 273:5 (1983),  1040–1044  mathnet  mathscinet  zmath
48. V. L. Makarov, N. V. Slushaenko, “Consistent estimates for the rate of convergence of the method of nets for quasilinear equations of elliptic type with large Lipschitz constant”, Differ. Uravn., 19:7 (1983),  1246–1250  mathnet  mathscinet 2
49. W. Weinelt, R. D. Lazarev, V. L. Makarov, “Convergence of difference schemes for elliptic equations with mixed derivatives and generalized solutions”, Differ. Uravn., 19:7 (1983),  1140–1145  mathnet  mathscinet  zmath
50. I. P. Gavriljuk, V. L. Makarov, S. P. Pirnazarov, “Consistent estimates of the rate of convergence of difference solutions to generalized solutions of the first boundary value problem for fourth-order equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 1983, no. 2,  15–22  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 27:2 (1983), 13–21
51. V. L. Burkovskaya, V. L. Makarov, “Applicability of the method of nets and the method of lines to the solution of a class of problems of optimal control theory”, Zh. Vychisl. Mat. Mat. Fiz., 23:4 (1983),  798–805  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 23:4 (1983), 18–23
1982
52. S. A. Voitsekhovskii, I. P. Gavriljuk, V. L. Makarov, “Convergence of difference solutions to generalized solutions of the Dirichlet problem for the Helmholtz equation in an arbitrary domain”, Dokl. Akad. Nauk SSSR, 267:1 (1982),  34–37  mathnet  mathscinet  zmath
53. R. D. Lazarov, V. L. Makarov, “Difference schemes of second-order precision for the axially symmetric Poisson equation on generalized solutions in $W_2^2$”, Dokl. Akad. Nauk SSSR, 262:1 (1982),  22–26  mathnet  mathscinet  zmath
54. V. L. Makarov, V. G. Prikazchikov, “The accuracy of the method of nets in eigenvalue problems”, Differ. Uravn., 18:7 (1982),  1240–1244  mathnet  mathscinet
55. S. G. Gocheva, V. L. Makarov, “The rate of convergence for the method of nets for a Sturm–Liouville problem with a generalized differential Hermitian operator”, Differ. Uravn., 18:7 (1982),  1167–1172  mathnet  mathscinet
56. R. D. Lazarov, V. L. Makarov, A. A. Samarskii, “Application of exact difference schemes to the construction and study of difference schemes for generalized solutions”, Mat. Sb. (N.S.), 117(159):4 (1982),  469–480  mathnet  mathscinet  zmath; Math. USSR-Sb., 45:4 (1983), 461–471 44
57. A. V. Kuz'min, V. L. Makarov, “An algorithm for constructing completely conservative difference schemes”, Zh. Vychisl. Mat. Mat. Fiz., 22:1 (1982),  123–132  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 22:1 (1982), 128–138 7
1981
58. R. D. Lazarov, V. L. Makarov, “Convergence of a difference method and the method of lines for multidimensional problems of mathematical physics in classes of generalized solutions”, Dokl. Akad. Nauk SSSR, 259:2 (1981),  282–286  mathnet  mathscinet  zmath 1
59. S. G. Gocheva, V. L. Makarov, “On the method of nets for the Sturm–Liouville problem with a generalized differential Hermite operator”, Differ. Uravn., 17:7 (1981),  1239–1249  mathnet  mathscinet
60. V. L. Makarov, S. G. Gocheva, “Difference schemes of any order of accuracy for second-order differential equations on the half-axis”, Differ. Uravn., 17:3 (1981),  527–540  mathnet  mathscinet 1
61. R. D. Lazarov, V. L. Makarov, “A difference scheme of second-order accuracy for an axisymmetric Poisson equation on generalized solutions”, Zh. Vychisl. Mat. Mat. Fiz., 21:5 (1981),  1168–1179  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 21:5 (1981), 95–107 5
1980
62. Yu. A. Belov, V. L. Makarov, V. G. Shelepov, V. B. Shulzhenko, “An approach to testing the adequacy of the flow chart of the algorithm of functioning of the structure scheme of a pulse information measuring system”, Dokl. Akad. Nauk SSSR, 255:1 (1980),  36–40  mathnet  mathscinet
63. S. A. Voitsekhovskii, V. L. Makarov, “On estimating the rate of convergence of difference schemes in eigenvalue problems for convex domains”, Dokl. Akad. Nauk SSSR, 254:5 (1980),  1035–1038  mathnet  mathscinet  zmath
64. A. A. Samarskii, V. L. Makarov, “On the question of the convergence rate of truncated schemes of the $m$th rank for generalized solutions”, Differ. Uravn., 16:7 (1980),  1276–1282  mathnet  mathscinet  zmath
65. V. L. Makarov, I. P. Gavriljuk, V. M. Luzhnyh, “Exact and truncated difference schemes for a class of Sturm–Liouville problems with degeneration”, Differ. Uravn., 16:7 (1980),  1265–1275  mathnet  mathscinet  zmath 1
66. V. L. Makarov, A. A. Samarskii, “Application of exact difference schemes to the estimation of the rate of convergence for the method of lines”, Zh. Vychisl. Mat. Mat. Fiz., 20:2 (1980),  371–387  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 20:2 (1980), 102–119 4
67. A. V. Kuz'min, V. L. Makarov, G. V. Meladze, “A completely conservative difference scheme for equations of gas dynamics in Euler variables”, Zh. Vychisl. Mat. Mat. Fiz., 20:1 (1980),  171–181  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 20:1 (1980), 187–198 4
1979
68. S. A. Voitsekhovskii, V. L. Makarov, V. G. Prikazchikov, “A variant of the method of fictitious domains in eigenvalue problems”, Differ. Uravn., 15:9 (1979),  1676–1680  mathnet  mathscinet
69. V. L. Makarov, I. L. Makarov, V. G. Prikazchikov, “Exact difference schemes and schemes of any order of accuracy for systems of second-order differential equations”, Differ. Uravn., 15:7 (1979),  1194–1205  mathnet  mathscinet  zmath 2
1978
70. A. V. Anisimov, Yu. A. Belov, I. I. Lyashko, V. L. Makarov, “On the adequacy of mathematical simulation of a complex information and measuring system”, Dokl. Akad. Nauk SSSR, 240:2 (1978),  287–290  mathnet  zmath
71. V. L. Makarov, T. Arazmyradov, “The construction of particular solutions of resonance differential equations”, Differ. Uravn., 14:7 (1978),  1255–1261  mathnet  mathscinet  zmath
1964
72. V. L. Makarov, “Turing machines and finite automata”, Sibirsk. Mat. Zh., 5:1 (1964),  102–108  mathnet  mathscinet  zmath
1999
73. M. I. Zelikin, V. A. Il'in, N. N. Krasovskii, V. L. Makarov, V. P. Maslov, Yu. S. Osipov, V. M. Tikhomirov, T. M. Eneev, I. R. Shafarevich, A. V. Yablokov, “Lyudmila Filippovna Zelikina”, Differ. Uravn., 35:6 (1999),  848–849  mathnet  mathscinet; Differ. Equ., 35:6 (1999), 856–857
1978
74. V. L. Makarov, “Theory of difference schemes: A. A. Samarskii, 656 p. “Nauka”, Moscow, 1977. Book review”, Zh. Vychisl. Mat. Mat. Fiz., 18:4 (1978),  1062–1063  mathnet; U.S.S.R. Comput. Math. Math. Phys., 18:4 (1978), 250–251

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