Blatov Igor Anatolevich

Publications in Math-Net.Ru

1. On estimates of the mean queue length for single-channel queuing systems in terms of statistical unconditional second-order moments of the modified arrival flow
   
   Avtomat. i Telemekh., 2022, no. 1,  113–129
2. Application of cubic splines on Bakhvalov meshes in the case of a boundary layer
   
   Zh. Vychisl. Mat. Mat. Fiz., 61:12 (2021),  1955–1973
3. Generalized spline interpolation of functions with large gradients in boundary layers
   
   Zh. Vychisl. Mat. Mat. Fiz., 60:3 (2020),  413–428
4. Interpolation on the Bakhvalov mesh in the presence of an exponential boundary layer
   
   Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 161:4 (2019),  497–508
5. Approximation of a function and its derivatives on the basis of cubic spline interpolation in the presence of a boundary layer
   
   Zh. Vychisl. Mat. Mat. Fiz., 59:3 (2019),  367–379
6. Application of spline wavelets or decorrelation of time series
   
   Mat. Model., 30:6 (2018),  60–75
7. On the parameter-uniform convergence of exponential spline interpolation in the presence of a boundary layer
   
   Zh. Vychisl. Mat. Mat. Fiz., 58:3 (2018),  365–382
8. About the uniform convergence of parabolic spline interpolation on the class of functions with large gradients in the boundary layer
   
   Sib. Zh. Vychisl. Mat., 20:2 (2017),  131–144
9. Parabolic spline interpolation for functions with large gradient in the boundary layer
   
   Sibirsk. Mat. Zh., 58:4 (2017),  745–760
10. Cubic spline interpolation of functions with high gradients in boundary layers
    
    Zh. Vychisl. Mat. Mat. Fiz., 57:1 (2017),  9–28
11. Convergence of the adapting grid method of Bakhvalov's type for singularly perturbed boundary value problems
    
    Sib. Zh. Vychisl. Mat., 19:1 (2016),  47–59
12. Conditional $\varepsilon$-uniform boundedness of Galerkin projectors and convergence of an adaptive mesh method as applied to singularly perturbed boundary value problems
    
    Zh. Vychisl. Mat. Mat. Fiz., 56:7 (2016),  1323–1334
13. Analysis and calculation of queuing system with delay
    
    Avtomat. i Telemekh., 2015, no. 11,  51–59
14. The modelling of parametrs of motion of centre of mass of space vehicle and methods of processing
    
    Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2013, no. 6(107),  147–152
15. Application of semiorthogonal spline wavelets and the Galerkin method to the numerical simulation of thin wire antennas
    
    Zh. Vychisl. Mat. Mat. Fiz., 53:5 (2013),  727–736
16. Solving of the problem of radiation of the linear structure, located close to the perfectly conducting screen, reduced to the two-dimensional system of Fredholm equations of the first order
    
    Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2010, no. 2(76),  13–23
17. Conditional $\varepsilon$-uniform convergence of adaptation algorithms in the finite element method for singularly perturbed problems
    
    Zh. Vychisl. Mat. Mat. Fiz., 50:9 (2010),  1550–1568
18. О приближенном решении одного класса интегральных уравнений
    
    Matem. Mod. Kraev. Zadachi, 3 (2007),  38–39
19. Построение сплайновых вейвлет на прямоугольнике для решения двумерного уравнения фредгольма второго рода методом Галеркина
    
    Matem. Mod. Kraev. Zadachi, 3 (2007),  17–19
20. On the combination of the incomplete factorization method and the fast Fourier method for solving boundary value problems for the Poisson equation in domains with curvilinear boundary
    
    Zh. Vychisl. Mat. Mat. Fiz., 43:5 (2003),  730–743
21. An incomplete factorization method with the fast Fourier transform for discrete Poisson equations with different boundary conditions
    
    Sib. Zh. Vychisl. Mat., 4:3 (2001),  229–242
22. On the asymptotically exact estimates of preconditioners of the incomplete factorization type
    
    Sib. Zh. Vychisl. Mat., 3:1 (2000),  11–42
23. On incomplete factorization for the fast Fourier transform for the discrete Poisson equation in a curvilinear boundary domain
    
    Sib. Zh. Vychisl. Mat., 1:3 (1998),  197–216
24. Bounds for elements of $LU$ factorizations of sparse matrices and their application to incomplete factorization methods
    
    Zh. Vychisl. Mat. Mat. Fiz., 37:3 (1997),  259–276
25. On Galerkin's finite element method for singularly perturbed parabolic initial-boundary value problems. II. Construction of and estimates for discrete Green functions
    
    Differ. Uravn., 32:7 (1996),  912–922
26. On Galerkin's finite element method for singularly perturbed parabolic initial-boundary value problems. I. Main result and estimates for the norms of projectors
    
    Differ. Uravn., 32:5 (1996),  661–669
27. On algebras and applications of operators with pseudosparse matrices
    
    Sibirsk. Mat. Zh., 37:1 (1996),  36–59
28. On the Galerkin finite-element method for elliptic quasilinear singularly perturbed boundary value problems. III. Problems with angular boundary layers
    
    Differ. Uravn., 30:3 (1994),  467–479
29. Estimates that are unimprovable with respect to order in Galerkin's finite-element method for singularly perturbed boundary value problems
    
    Dokl. Akad. Nauk, 328:4 (1993),  424–426
30. Fourth order accuracy collocation method for singularly perturbed boundary value problems
    
    Sibirsk. Mat. Zh., 34:1 (1993),  16–31
31. Incomplete factorization methods for systems with sparse matrices
    
    Zh. Vychisl. Mat. Mat. Fiz., 33:6 (1993),  819–836
32. On the Galerkin finite-element method for elliptic quasilinear singularly perturbed boundary value problems. II
    
    Differ. Uravn., 28:10 (1992),  1799–1810
33. On the Galerkin finite-element method for elliptic quasilinear singularly perturbed boundary value problems. I
    
    Differ. Uravn., 28:7 (1992),  1168–1177
34. Estimates for elements of inverse matrices and modifications of the matrix sweep method
    
    Sibirsk. Mat. Zh., 33:2 (1992),  10–21
35. Estimates of the elements of inverse matrices and pivotal condensation methods of incomplete block factorization
    
    Zh. Vychisl. Mat. Mat. Fiz., 32:11 (1992),  1683–1696
36. Convergence of the spline-collocation method for singularly perturbed boundary value problems on locally uniform grids
    
    Differ. Uravn., 26:7 (1990),  1191–1197
37. The projection method for singularly perturbed boundary value problems
    
    Zh. Vychisl. Mat. Mat. Fiz., 30:7 (1990),  1031–1044
38. The spline-collocation method on adaptive grids for singularly perturbed boundary value problems
    
    Dokl. Akad. Nauk SSSR, 304:4 (1989),  785–788
39. Convergence of the spline collocation method on optimal grids for singularly perturbed boundary value problems
    
    Differ. Uravn., 24:11 (1988),  1977–1987
40. Convergence in the uniform norm of the Galerkin method for a nonlinear singularly perturbed boundary value problem
    
    Zh. Vychisl. Mat. Mat. Fiz., 26:8 (1986),  1175–1188
41. Convergence of the Galerkin method for a nonlinear two-point singularly perturbed boundary value problem in the space $C[a,b]$
    
    Zh. Vychisl. Mat. Mat. Fiz., 25:7 (1985),  1001–1008