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Publications in Math-Net.Ru |
Citations |
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2021 |
1. |
V. B. Andreev, I. G. Beluhina, “Decomposition of the solution to a two-dimensional singularly perturbed convection–diffusion equation with variable coefficients in a square and estimates in Hölder norms”, Zh. Vychisl. Mat. Mat. Fiz., 61:2 (2021), 206–216 ; Comput. Math. Math. Phys., 61:2 (2021), 194–204 |
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2019 |
2. |
V. B. Andreev, I. G. Beluhina, “Estimates in Hölder classes for the solution of an inhomogeneous Dirichlet problem for a singularly perturbed homogeneous convection-diffusion equation”, Zh. Vychisl. Mat. Mat. Fiz., 59:2 (2019), 264–276 ; Comput. Math. Math. Phys., 59:2 (2019), 253–265 |
2
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2017 |
3. |
V. B. Andreev, “Hölder estimates for the regular component of the solution to a singularly perturbed convection-diffusion equation”, Zh. Vychisl. Mat. Mat. Fiz., 57:12 (2017), 1983–2020 ; Comput. Math. Math. Phys., 57:12 (2017), 1935–1972 |
3
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2015 |
4. |
V. B. Andreev, “Estimating the smoothness of the regular component of the solution to a one-dimensional singularly perturbed convection-diffusion equation”, Zh. Vychisl. Mat. Mat. Fiz., 55:1 (2015), 22–33 ; Comput. Math. Math. Phys., 55:1 (2015), 19–30 |
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2008 |
5. |
V. B. Andreev, “Uniform grid approximation of nonsmooth solutions to the mixed boundary value problem for a singularly perturbed reaction-diffusion equation in a rectangle”, Zh. Vychisl. Mat. Mat. Fiz., 48:1 (2008), 90–114 ; Comput. Math. Math. Phys., 48:1 (2008), 85–108 |
14
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2006 |
6. |
V. B. Andreev, “On the accuracy of grid approximations to nonsmooth solutions of a singularly perturbed reaction-diffusion equation in the square”, Differ. Uravn., 42:7 (2006), 895–906 ; Differ. Equ., 42:7 (2006), 954–966 |
15
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2004 |
7. |
V. B. Andreev, “On the Theory of Difference Schemes for Singularly Perturbed Equations”, Differ. Uravn., 40:7 (2004), 898–907 ; Differ. Equ., 40:7 (2004), 959–970 |
1
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8. |
V. B. Andreev, “On the uniform convergence of a classical difference scheme on an irregular grid for the one-dimensional singularly perturbed reaction-diffusion equation”, Zh. Vychisl. Mat. Mat. Fiz., 44:3 (2004), 476–492 ; Comput. Math. Math. Phys., 44:3 (2004), 449–464 |
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2003 |
9. |
V. B. Andreev, “Anisotropic estimates of the Green function for a singularly perturbed two-dimensional monotone convection-diffusion equation operator and its applications”, Zh. Vychisl. Mat. Mat. Fiz., 43:4 (2003), 546–553 ; Comput. Math. Math. Phys., 43:4 (2003), 521–528 |
3
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2002 |
10. |
V. B. Andreev, “Pointwise and Weighted A Priori Estimates of the Solution and Its First Derivative for a Singularly Perturbed Convection-Diffusion Equation”, Differ. Uravn., 38:7 (2002), 918–929 ; Differ. Equ., 38:7 (2002), 972–984 |
5
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11. |
V. B. Andreev, “A priori solution estimates of singularly perturbed TWO-point boundary problems”, Matem. Mod., 14:5 (2002), 5–16 |
7
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12. |
V. B. Andreev, “Pointwise and weighted a priori estimates of solutions and their difference relations for singularly perturbed monotone three-point difference schemes”, Zh. Vychisl. Mat. Mat. Fiz., 42:10 (2002), 1503–1519 ; Comput. Math. Math. Phys., 42:10 (2002), 1445–1461 |
1
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2001 |
13. |
V. B. Andreev, “The Green Function and A Priori Estimates of Solutions of Monotone Three-Point Singularly Perturbed Finite-Difference Schemes”, Differ. Uravn., 37:7 (2001), 880–890 ; Differ. Equ., 37:7 (2001), 923–933 |
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1998 |
14. |
V. B. Andreev, “Convergence of a modified Samarskij's monotonic scheme on a smoothly condensing grid”, Zh. Vychisl. Mat. Mat. Fiz., 38:8 (1998), 1266–1278 ; Comput. Math. Math. Phys., 38:8 (1998), 1212–1224 |
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1996 |
15. |
V. B. Andreev, I. A. Savin, “The computation of boundary flow with uniform accuracy with respect to a small parameter”, Zh. Vychisl. Mat. Mat. Fiz., 36:12 (1996), 57–63 ; Comput. Math. Math. Phys., 36:12 (1996), 1687–1692 |
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16. |
V. B. Andreev, N. V. Kopteva, “A study of difference schemes with the first derivative approximated by a central difference ratio”, Zh. Vychisl. Mat. Mat. Fiz., 36:8 (1996), 101–117 ; Comput. Math. Math. Phys., 36:8 (1996), 1065–1078 |
32
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1995 |
17. |
V. B. Andreev, I. A. Savin, “On the convergence, uniform with respect to the small parameter, of A. A. Samarskii's monotone scheme and its modifications”, Zh. Vychisl. Mat. Mat. Fiz., 35:5 (1995), 739–752 ; Comput. Math. Math. Phys., 35:5 (1995), 581–591 |
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1987 |
18. |
V. B. Andreev, “On the analysis of a difference scheme for the Laplace equation in a singularly perturbed domain”, Zh. Vychisl. Mat. Mat. Fiz., 27:10 (1987), 1527–1535 ; U.S.S.R. Comput. Math. Math. Phys., 27:5 (1987), 165–171 |
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1986 |
19. |
V. B. Andreev, “Point source functions for the Laplace difference operator in a corner. II. Asymptotic expansion at infinity”, Differ. Uravn., 22:7 (1986), 1134–1141 |
20. |
V. B. Andreev, “Point source functions for the Laplace difference operator in a corner. I. Integral representations”, Differ. Uravn., 22:6 (1986), 1021–1032 |
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1985 |
21. |
V. B. Andreev, “Point source function of the Dirichlet problem for the Laplace difference operator in the angle $3\pi/2$ and its application”, Zh. Vychisl. Mat. Mat. Fiz., 25:6 (1985), 841–849 ; U.S.S.R. Comput. Math. Math. Phys., 25:3 (1985), 122–127 |
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1982 |
22. |
V. B. Andreev, E. Yu. Arkhipova, “On an investigation of the accuracy of difference schemes for elliptic equations with discontinuous coefficients”, Differ. Uravn., 18:7 (1982), 1117–1126 |
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1981 |
23. |
V. B. Andreev, “On the accuracy of modified difference and finite-element schemes for a model problem on cracks”, Differ. Uravn., 17:7 (1981), 1184–1192 |
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1980 |
24. |
V. B. Andreev, “Grid approximations of nonsmooth solutions of differential equations”, Differ. Uravn., 16:7 (1980), 1172–1184 |
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1979 |
25. |
V. B. Andreev, “Asymptotics of the solution of the grid Laplace equation in an angle”, Dokl. Akad. Nauk SSSR, 244:6 (1979), 1289–1293 |
2
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1977 |
26. |
V. B. Andreev, “The mixed problem for the grid Laplace equation in a half-plane”, Dokl. Akad. Nauk SSSR, 234:5 (1977), 997–1000 |
1
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1975 |
27. |
V. B. Andreev, E. Yu. Arkhipova, “The use of difference schemes for the solution of the Laplace equation with discontinuous boundary conditions of the first kind”, Zh. Vychisl. Mat. Mat. Fiz., 15:6 (1975), 1466–1481 ; U.S.S.R. Comput. Math. Math. Phys., 15:6 (1975), 100–116 |
1
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1973 |
28. |
V. B. Andreev, S. A. Krjakvina, “The fundamental solution of a one-parameter family of difference approximations of Laplace's operator on the plane”, Zh. Vychisl. Mat. Mat. Fiz., 13:2 (1973), 343–355 ; U.S.S.R. Comput. Math. Math. Phys., 13:2 (1973), 88–104 |
3
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1972 |
29. |
V. B. Andreev, “Stability of difference schemes for elliptic equations with
respect to the Dirichlet boundary conditions”, Zh. Vychisl. Mat. Mat. Fiz., 12:3 (1972), 598–611 ; U.S.S.R. Comput. Math. Math. Phys., 12:3 (1972), 35–52 |
7
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30. |
V. B. Andreev, S. A. Kryakvina, “The source function of the difference Laplace operator”, Zh. Vychisl. Mat. Mat. Fiz., 12:2 (1972), 364–373 ; U.S.S.R. Comput. Math. Math. Phys., 12:2 (1972), 101–114 |
4
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1971 |
31. |
V. B. Andreev, “The stability with respect to initial data of difference schemes for parabolic equations”, Zh. Vychisl. Mat. Mat. Fiz., 11:6 (1971), 1462–1475 ; U.S.S.R. Comput. Math. Math. Phys., 11:6 (1971), 129–145 |
1
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1969 |
32. |
V. B. Andreev, “The uniform convergence of difference schemes for the Neumann problem”, Zh. Vychisl. Mat. Mat. Fiz., 9:6 (1969), 1285–1298 ; U.S.S.R. Comput. Math. Math. Phys., 9:6 (1969), 65–82 |
33. |
V. B. Andreev, “The convergence of difference schemes with a splitting operator which approximates the third boundary value problem for a parabolic equation”, Zh. Vychisl. Mat. Mat. Fiz., 9:2 (1969), 337–349 ; U.S.S.R. Comput. Math. Math. Phys., 9:2 (1969), 107–123 |
2
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1968 |
34. |
V. B. Andreev, “The convergence of difference schemes which approximate the second and third boundary value problems for elliptic equations”, Zh. Vychisl. Mat. Mat. Fiz., 8:6 (1968), 1218–1231 ; U.S.S.R. Comput. Math. Math. Phys., 8:6 (1968), 44–62 |
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1967 |
35. |
V. B. Andreev, “Splitting operator difference schemes for general second order $p$-dimensional parabolic equations with mixed derivatives”, Zh. Vychisl. Mat. Mat. Fiz., 7:2 (1967), 312–321 ; U.S.S.R. Comput. Math. Math. Phys., 7:2 (1967), 92–104 |
3
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1966 |
36. |
V. B. Andreev, “On uniform convergence of certain difference schemes”, Zh. Vychisl. Mat. Mat. Fiz., 6:2 (1966), 238–250 ; U.S.S.R. Comput. Math. Math. Phys., 6:2 (1966), 59–77 |
1
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1965 |
37. |
V. B. Andreev, “Iterational alternating direction schemes for the numerical solution of the third boundary value problem in a $p$-dimensional parallelepiped”, Zh. Vychisl. Mat. Mat. Fiz., 5:4 (1965), 626–637 ; U.S.S.R. Comput. Math. Math. Phys., 5:4 (1965), 56–71 |
1
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1964 |
38. |
A. A. Samarskii, V. B. Andreev, “Alternating direction iterational schemes for the numerical solution of the Dirichlet problem”, Zh. Vychisl. Mat. Mat. Fiz., 4:6 (1964), 1025–1036 ; U.S.S.R. Comput. Math. Math. Phys., 4:6 (1964), 60–76 |
4
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1963 |
39. |
A. A. Samarskii, V. B. Andreev, “A difference scheme of higher accuracy for an equation of elliptic type in several space variables”, Zh. Vychisl. Mat. Mat. Fiz., 3:6 (1963), 1006–1013 ; U.S.S.R. Comput. Math. Math. Phys., 3:6 (1963), 1373–1382 |
56
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40. |
A. A. Abramov, V. B. Andreev, “On the application of the method of successive substitution to the determination of periodic solutions of differential and difference equations”, Zh. Vychisl. Mat. Mat. Fiz., 3:2 (1963), 377–381 ; U.S.S.R. Comput. Math. Math. Phys., 3:2 (1963), 498–504 |
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2016 |
41. |
V. B. Andreev, S. A. Voloshin, M. P. Galanin, G. G. Yelenin, N. I. Ionkin, M. K. Kerimov, O. S. Mazhorova, E. I. Moiseev, S. I. Mukhin, Yu. P. Popov, N. V. Sosnin, B. N. Chetverushkin, “In memory of Professor Aleksei Vladimirovich Gulin (26.03.1942–27.03.2015)”, Zh. Vychisl. Mat. Mat. Fiz., 56:1 (2016), 180–184 |
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2014 |
42. |
V. B. Andreev, G. P. Astrakhantsev, V. P. Dymnikov, L. A. Rukhovets, B. N. Chetverushkin, “In memory of Leonard Amayakovich Oganesyan (1925–2013)”, Zh. Vychisl. Mat. Mat. Fiz., 54:5 (2014), 892–896 |
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1995 |
43. |
V. B. Andreev, I. A. Savin, “Erratum: “On the convergence, uniform with respect to the small parameter, of A. A. Samarskiĭ's monotone scheme and its modifications””, Zh. Vychisl. Mat. Mat. Fiz., 35:12 (1995), 1920 ; Comput. Math. Math. Phys., 35:12 (1995), 1535–1536 |
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