Persons
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
 
Andreev, Vladimir Borisovich
Statistics Math-Net.Ru
Total publications: 43
Scientific articles: 40

Number of views:
This page:1138
Abstract pages:13031
Full texts:5767
References:654
Professor
Doctor of physico-mathematical sciences
E-mail:

https://www.mathnet.ru/eng/person31857
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/210330

Publications in Math-Net.Ru Citations
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  mathnet  elib; Comput. Math. Math. Phys., 61:2 (2021), 194–204  isi  scopus 3
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  mathnet  elib; Comput. Math. Math. Phys., 59:2 (2019), 253–265  isi  scopus 2
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  mathnet  elib; Comput. Math. Math. Phys., 57:12 (2017), 1935–1972  isi  scopus 3
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  mathnet  elib; Comput. Math. Math. Phys., 55:1 (2015), 19–30  isi  elib  scopus 4
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  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 48:1 (2008), 85–108  isi  scopus 14
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  mathnet  mathscinet; Differ. Equ., 42:7 (2006), 954–966 15
2004
7. V. B. Andreev, “On the Theory of Difference Schemes for Singularly Perturbed Equations”, Differ. Uravn., 40:7 (2004),  898–907  mathnet  mathscinet; Differ. Equ., 40:7 (2004), 959–970 1
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  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 44:3 (2004), 449–464 5
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  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 43:4 (2003), 521–528 3
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  mathnet  mathscinet; Differ. Equ., 38:7 (2002), 972–984 5
11. V. B. Andreev, “A priori solution estimates of singularly perturbed TWO-point boundary problems”, Matem. Mod., 14:5 (2002),  5–16  mathnet  mathscinet  zmath 7
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  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 42:10 (2002), 1445–1461 1
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  mathnet  mathscinet; Differ. Equ., 37:7 (2001), 923–933 21
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  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 38:8 (1998), 1212–1224 11
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  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 36:12 (1996), 1687–1692  isi 14
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  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 36:8 (1996), 1065–1078  isi 32
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  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 35:5 (1995), 581–591  isi 34
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  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 27:5 (1987), 165–171
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  mathnet  mathscinet  zmath
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  mathnet  mathscinet
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  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 25:3 (1985), 122–127
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  mathnet  mathscinet
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  mathnet  mathscinet
1980
24. V. B. Andreev, “Grid approximations of nonsmooth solutions of differential equations”, Differ. Uravn., 16:7 (1980),  1172–1184  mathnet  mathscinet  zmath 7
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  mathnet  mathscinet  zmath 2
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  mathnet  mathscinet  zmath 1
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  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 15:6 (1975), 100–116 1
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  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 13:2 (1973), 88–104 3
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  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 12:3 (1972), 35–52 7
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  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 12:2 (1972), 101–114 4
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  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 11:6 (1971), 129–145 1
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  mathnet  mathscinet  zmath; 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  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 9:2 (1969), 107–123 2
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  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 8:6 (1968), 44–62 33
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  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 7:2 (1967), 92–104 3
1966
36. V. B. Andreev, “On uniform convergence of certain difference schemes”, Zh. Vychisl. Mat. Mat. Fiz., 6:2 (1966),  238–250  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 6:2 (1966), 59–77 1
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  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 5:4 (1965), 56–71 1
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  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 4:6 (1964), 60–76 4
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  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 3:6 (1963), 1373–1382 56
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  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 3:2 (1963), 498–504 19
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  mathnet  elib
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  mathnet  elib
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  mathnet  mathscinet; Comput. Math. Math. Phys., 35:12 (1995), 1535–1536

Organisations
 
  Contact us:
  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024