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Blatov, Igor Anatolevich
Statistics Math-Net.Ru
Total publications: 42
Scientific articles: 42

Number of views:
This page:1104
Abstract pages:9045
Full texts:3118
References:1221
Professor
Doctor of physico-mathematical sciences (1999)
Speciality: 01.01.07 (Computing mathematics)
Birth date: 9.06.1961
E-mail:
Keywords: singular perturbation, incomplete factorization.
UDC: 519.61, 519.62, 519.614, 519.632.4
MSC: 65F10

Subject:

Numerical analysis, numerical methods for differential equations, wavelet-analysis
   
Main publications:
  1. Blatov I.A., “On the algebras with the pseudosparse matrices and its applications”, Sib. Math. J., 1996, № 1

https://www.mathnet.ru/eng/person28792
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/225170
https://elibrary.ru/author_items.asp?authorid=1960
https://orcid.org/0000-0001-6215-8311
https://publons.com/researcher/C-8520-2017
https://www.webofscience.com/wos/author/record/C-8520-2017
https://www.scopus.com/authid/detail.url?authorId=6602325435

Publications in Math-Net.Ru Citations
2022
1. B.J. Likhttsinder, I. A. Blatov, E. V. Kitaeva, “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  mathnet  mathscinet; Autom. Remote Control, 83:1 (2022), 92–105  isi  scopus 2
2021
2. I. A. Blatov, A. I. Zadorin, E. V. Kitaeva, “Application of cubic splines on Bakhvalov meshes in the case of a boundary layer”, Zh. Vychisl. Mat. Mat. Fiz., 61:12 (2021),  1955–1973  mathnet  elib; Comput. Math. Math. Phys., 61:12 (2021), 1911–1930  isi  scopus 1
2020
3. I. A. Blatov, A. I. Zadorin, E. V. Kitaeva, “Generalized spline interpolation of functions with large gradients in boundary layers”, Zh. Vychisl. Mat. Mat. Fiz., 60:3 (2020),  413–428  mathnet  elib; Comput. Math. Math. Phys., 60:3 (2020), 411–426  isi  scopus
2019
4. I. A. Blatov, N. A. Zadorin, “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  mathnet 4
5. I. A. Blatov, A. I. Zadorin, E. V. Kitaeva, “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  mathnet  elib; Comput. Math. Math. Phys., 59:3 (2019), 343–354  isi  scopus 8
2018
6. I. A. Blatov, Y. A. Gerasimova, I. V. Kartashevskiy, “Application of spline wavelets or decorrelation of time series”, Matem. Mod., 30:6 (2018),  60–75  mathnet
7. I. A. Blatov, A. I. Zadorin, E. V. Kitaeva, “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  mathnet  elib; Comput. Math. Math. Phys., 58:3 (2018), 348–363  isi  scopus 8
2017
8. I. A. Blatov, A. I. Zadorin, E. V. Kitaeva, “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  mathnet  elib; Num. Anal. Appl., 10:2 (2017), 108–119  isi  scopus 6
9. I. A. Blatov, A. I. Zadorin, E. V. Kitaeva, “Parabolic spline interpolation for functions with large gradient in the boundary layer”, Sibirsk. Mat. Zh., 58:4 (2017),  745–760  mathnet  elib; Siberian Math. J., 58:4 (2017), 578–590  isi  elib  scopus 8
10. I. A. Blatov, A. I. Zadorin, E. V. Kitaeva, “Cubic spline interpolation of functions with high gradients in boundary layers”, Zh. Vychisl. Mat. Mat. Fiz., 57:1 (2017),  9–28  mathnet  elib; Comput. Math. Math. Phys., 57:1 (2017), 7–25  isi  scopus 21
2016
11. I. A. Blatov, E. V. Kitaeva, “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  mathnet  mathscinet  elib; Num. Anal. Appl., 9:1 (2016), 34–44  isi  elib  scopus 5
12. I. A. Blatov, N. V. Dobrobog, E. V. Kitaeva, “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  mathnet  elib; Comput. Math. Math. Phys., 56:7 (2016), 1293–1304  isi  scopus 2
2015
13. V. N. Tarasov, N. F. Bakhareva, I. A. Blatov, “Analysis and calculation of queuing system with delay”, Avtomat. i Telemekh., 2015, no. 11,  51–59  mathnet  elib; Autom. Remote Control, 76:11 (2015), 1945–1951  isi  elib  scopus 14
2013
14. E. K. Yakovlev, I. A. Blatov, “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  mathnet
15. I. A. Blatov, N. V. Rogova, “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  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 53:5 (2013), 564–572  isi  elib  scopus 6
2010
16. E. A. Alasheeva, I. A. Blatov, M. Yu. Maslov, “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  mathnet 1
17. I. A. Blatov, N. V. Dobrobog, “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  mathnet  mathscinet; Comput. Math. Math. Phys., 50:9 (2010), 1476–1493  isi  scopus 5
2007
18. I. A. Blatov, N. V. Rogova, “О приближенном решении одного класса интегральных уравнений”, Matem. Mod. Kraev. Zadachi, 3 (2007),  38–39  mathnet
19. E. A. Alasheeva, I. A. Blatov, “Построение сплайновых вейвлет на прямоугольнике для решения двумерного уравнения фредгольма второго рода методом Галеркина”, Matem. Mod. Kraev. Zadachi, 3 (2007),  17–19  mathnet
2003
20. I. A. Blatov, E. V. Kitaeva, “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  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 43:5 (2003), 696–709 1
2001
21. I. A. Blatov, E. V. Kitaeva, “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  mathnet  zmath
2000
22. I. A. Blatov, “On the asymptotically exact estimates of preconditioners of the incomplete factorization type”, Sib. Zh. Vychisl. Mat., 3:1 (2000),  11–42  mathnet  zmath 2
1998
23. I. A. Blatov, “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  mathnet  mathscinet  zmath 3
1997
24. I. A. Blatov, “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  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 37:3 (1997), 255–273 4
1996
25. I. A. Blatov, “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  mathnet  mathscinet; Differ. Equ., 32:7 (1996), 916–928
26. I. A. Blatov, “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  mathnet  mathscinet; Differ. Equ., 32:5 (1996), 668–678 1
27. I. A. Blatov, “On algebras and applications of operators with pseudosparse matrices”, Sibirsk. Mat. Zh., 37:1 (1996),  36–59  mathnet  mathscinet  zmath; Siberian Math. J., 37:1 (1996), 32–52  isi 17
1994
28. I. A. Blatov, “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  mathnet  mathscinet; Differ. Equ., 30:3 (1994), 432–444
1993
29. I. A. Blatov, V. V. Strygin, “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  mathnet  mathscinet  zmath; Dokl. Math., 47:1 (1993), 93–96
30. I. A. Blatov, V. V. Strygin, “Fourth order accuracy collocation method for singularly perturbed boundary value problems”, Sibirsk. Mat. Zh., 34:1 (1993),  16–31  mathnet  mathscinet  zmath; Siberian Math. J., 34:1 (1993), 10–24  isi 7
31. I. A. Blatov, “Incomplete factorization methods for systems with sparse matrices”, Zh. Vychisl. Mat. Mat. Fiz., 33:6 (1993),  819–836  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 33:6 (1993), 727–741  isi 7
1992
32. I. A. Blatov, “On the Galerkin finite-element method for elliptic quasilinear singularly perturbed boundary value problems. II”, Differ. Uravn., 28:10 (1992),  1799–1810  mathnet  mathscinet; Differ. Equ., 28:10 (1992), 1469–1477
33. I. A. Blatov, “On the Galerkin finite-element method for elliptic quasilinear singularly perturbed boundary value problems. I”, Differ. Uravn., 28:7 (1992),  1168–1177  mathnet  mathscinet; Differ. Equ., 28:7 (1992), 931–940
34. I. A. Blatov, “Estimates for elements of inverse matrices and modifications of the matrix sweep method”, Sibirsk. Mat. Zh., 33:2 (1992),  10–21  mathnet  mathscinet  zmath; Siberian Math. J., 33:2 (1992), 183–194  isi 5
35. I. A. Blatov, A. A. Terteryan, “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  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 32:11 (1992), 1509–1522  isi 2
1990
36. I. A. Blatov, V. V. Strygin, “Convergence of the spline-collocation method for singularly perturbed boundary value problems on locally uniform grids”, Differ. Uravn., 26:7 (1990),  1191–1197  mathnet  mathscinet; Differ. Equ., 26:7 (1990), 869–875
37. I. A. Blatov, “The projection method for singularly perturbed boundary value problems”, Zh. Vychisl. Mat. Mat. Fiz., 30:7 (1990),  1031–1044  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 30:4 (1990), 47–56 6
1989
38. I. A. Blatov, V. V. Strygin, “The spline-collocation method on adaptive grids for singularly perturbed boundary value problems”, Dokl. Akad. Nauk SSSR, 304:4 (1989),  785–788  mathnet  mathscinet  zmath; Dokl. Math., 39:1 (1989), 136–139
1988
39. I. A. Blatov, V. V. Strygin, “Convergence of the spline collocation method on optimal grids for singularly perturbed boundary value problems”, Differ. Uravn., 24:11 (1988),  1977–1987  mathnet  mathscinet  zmath; Differ. Equ., 24:11 (1988), 1330–1338
1986
40. I. A. Blatov, “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  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 26:4 (1986), 138–147
1985
41. I. A. Blatov, V. V. Strygin, “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  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 25:4 (1985), 25–30 1

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