I. A. Blatov

Povolzhskiy State University of Telecommunications and Informatics — Russia

Mathematics · Physical Sciences

7h-index165citations48works0.02yr avg
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Research Topics

Differential Equations and Numerical Methods(30), Advanced Mathematical Modeling in Engineering(11), Advanced Numerical Methods in Computational Mathematics(10), Material Science and Thermodynamics(10), Differential Equations and Boundary Problems(9)

Publications48 total

Analysis of approaches to spline interpolation of functions with large gradients in the boundary layer
Journal of Physics Conference Series·2022Open Access
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
Automation and Remote Control·2022· 2 cited
Application of Cubic Splines on Bakhvalov Meshes in the Case of a Boundary Layer
Computational Mathematics and Mathematical Physics·2021· 2 cited
Cubic Spline on a Bakhvalov Mesh in the Presence of a Boundary Layer
Lecture notes in computational science and engineering·2021· 1 cited
Application a cubic spline to calculate derivatives in the presence of a boundary layer
Journal of Physics Conference Series·2021· 2 citedOpen Access
The cubic interpolation spline for functions with boundary layer on a Bakhvalov mesh
Journal of Physics Conference Series·2021· 2 citedOpen Access
On Estimates of Average Queue Length for Queueing Systems in The Case of Correlated Input Flow
2020· 2 cited
The development of V. V. Strygin’s ideas in numerical mathematics in the works of Samara mathematicians
Journal of Physics Conference Series·2020Open Access
Generalized Spline Interpolation of Functions with Large Gradients in Boundary Layers
Computational Mathematics and Mathematical Physics·2020· 2 cited
POWER FOR PROCESSING APPLICATION FLOWS AND QUEUE SIZES IN MASS SERVICE SYSTEMS
T-Comm·2020· 2 citedOpen Access
ON ESTIMATES OF THE AVERAGE QUEUE LENGTH FOR MASS SERVICE SYSTEMS IN CASE OF CORRELATED INPUT FLOW
T-Comm·2020· 2 citedOpen Access
A universal algorithm for finding the shortest distance between systems of points
Acta Crystallographica Section A Foundations and Advances·2019· 4 cited
An application of the cubic spline on Shishkin mesh for the approximation of a function and its derivatives in the presence of a boundary layer
Journal of Physics Conference Series·2019· 2 citedOpen Access
Approximation of a Function and Its Derivatives on the Basis of Cubic Spline Interpolation in the Presence of a Boundary Layer
Computational Mathematics and Mathematical Physics·2019· 7 cited
Approaches to the calculation of derivatives of functions with large gradients in the boundary layer under the values at the grid nodes
Journal of Physics Conference Series·2019· 1 citedOpen Access
Interpolation on the Bakhvalov Mesh in the Presence of an Exponential Boundary Layer
Učenye zapiski Kazanskogo gosudarstvennogo universiteta. Seriâ Fiziko-matematičeskie nauki/Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki·2019· 6 citedOpen Access
Analogue of Cubic Spline for Functions with Large Gradients in a Boundary Layer
Lecture notes in computer science·2019
On Estimate of Queue Lengths in QS with Certain Correlative Correspondence
Journal of Physics Conference Series·2018· 2 citedOpen Access
Convergence of Mesh Adaptive Algorithms for Elliptic Singularly Perturbed Boundary Value Problems with Exponential Boundary Layer
Journal of Physics Conference Series·2018Open Access
An application of the exponential spline for the approximation of a function and its derivatives in the presence of a boundary layer
Journal of Physics Conference Series·2018· 4 citedOpen Access
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Frequent Co-authors

E. V. Kitaeva(22), А. И. Задорин(14), V. V. Strygin(5), N. V. Dobrobog(4), B. Ya. Likhttsinder(3), Alexander P. Shevchenko(2), Vladislav A. Blatov(2), Н. А. Задорин(2), Boris Ya. Lichtzinder(2), В. Н. Тарасов(1), Н. Ф. Бахарева(1), Victoria V. Blatova(1), Yurii B. Rozhec(1), Ilana Yu. Pokornaya(1), N. V. Rogova(1), A. A. Terteryan(1), Boris Lihtsinder(1), Igor Kartashevskiy(1), Yulia Gerasimova(1), E.K. Yakovlev(1)