Andreev Vladimir Borisovich

Publications in Math-Net.Ru

1. 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
2. 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
3. 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
4. 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
5. 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
6. 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
7. On the Theory of Difference Schemes for Singularly Perturbed Equations
   
   Differ. Uravn., 40:7 (2004),  898–907
8. 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
9. 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
10. 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
11. A priori solution estimates of singularly perturbed TWO-point boundary problems
    
    Matem. Mod., 14:5 (2002),  5–16
12. 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
13. 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
14. Convergence of a modified Samarskij's monotonic scheme on a smoothly condensing grid
    
    Zh. Vychisl. Mat. Mat. Fiz., 38:8 (1998),  1266–1278
15. The computation of boundary flow with uniform accuracy with respect to a small parameter
    
    Zh. Vychisl. Mat. Mat. Fiz., 36:12 (1996),  57–63
16. 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
17. 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
18. 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
19. Point source functions for the Laplace difference operator in a corner. II. Asymptotic expansion at infinity
    
    Differ. Uravn., 22:7 (1986),  1134–1141
20. Point source functions for the Laplace difference operator in a corner. I. Integral representations
    
    Differ. Uravn., 22:6 (1986),  1021–1032
21. 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
22. On an investigation of the accuracy of difference schemes for elliptic equations with discontinuous coefficients
    
    Differ. Uravn., 18:7 (1982),  1117–1126
23. On the accuracy of modified difference and finite-element schemes for a model problem on cracks
    
    Differ. Uravn., 17:7 (1981),  1184–1192
24. Grid approximations of nonsmooth solutions of differential equations
    
    Differ. Uravn., 16:7 (1980),  1172–1184
25. Asymptotics of the solution of the grid Laplace equation in an angle
    
    Dokl. Akad. Nauk SSSR, 244:6 (1979),  1289–1293
26. The mixed problem for the grid Laplace equation in a half-plane
    
    Dokl. Akad. Nauk SSSR, 234:5 (1977),  997–1000
27. 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
28. 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
29. Stability of difference schemes for elliptic equations with respect to the Dirichlet boundary conditions
    
    Zh. Vychisl. Mat. Mat. Fiz., 12:3 (1972),  598–611
30. The source function of the difference Laplace operator
    
    Zh. Vychisl. Mat. Mat. Fiz., 12:2 (1972),  364–373
31. The stability with respect to initial data of difference schemes for parabolic equations
    
    Zh. Vychisl. Mat. Mat. Fiz., 11:6 (1971),  1462–1475
32. The uniform convergence of difference schemes for the Neumann problem
    
    Zh. Vychisl. Mat. Mat. Fiz., 9:6 (1969),  1285–1298
33. 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
34. 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
35. 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
36. On uniform convergence of certain difference schemes
    
    Zh. Vychisl. Mat. Mat. Fiz., 6:2 (1966),  238–250
37. 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
38. Alternating direction iterational schemes for the numerical solution of the Dirichlet problem
    
    Zh. Vychisl. Mat. Mat. Fiz., 4:6 (1964),  1025–1036
39. 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
40. 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


41. In memory of Professor Aleksei Vladimirovich Gulin (26.03.1942–27.03.2015)
    
    Zh. Vychisl. Mat. Mat. Fiz., 56:1 (2016),  180–184
42. In memory of Leonard Amayakovich Oganesyan (1925–2013)
    
    Zh. Vychisl. Mat. Mat. Fiz., 54:5 (2014),  892–896
43. 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