1
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Zadorin A.I.
Formulas for Numerical Differentiation on a Uniform Mesh in the Presence of a Boundary Layer
Computational Mathematics and Mathematical Physics. 2024.
V.64. N6. P.1167-1175. DOI: 10.1134/s0965542524700416
WOS
Scopus
РИНЦ
OpenAlex
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2
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Zadorin A.I.
Analysis of Numerical Differentiation Formulas on a Uniform Grid in the Presence of a Boundary Layer
Proceedings of the Steklov Institute of Mathematics. 2024.
V.327. N1. P.S275–S285. DOI: 10.1134/S0081543824070204
WOS
Scopus
РИНЦ
OpenAlex
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3
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Zadorin A.I.
Formulas for numerical differentiation of functions with large gradients
Numerical Analysis and Applications. 2023.
V.16. N1. P.14-21. DOI: 10.1134/S1995423923010020
WOS
Scopus
РИНЦ
OpenAlex
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4
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Zadorin A.I.
Analysis of Numerical Differential Formulas on a Bakhvalov Mesh in the Presence of a Boundary Layer
Computational Mathematics and Mathematical Physics. 2023.
V.63. N2. P.175-183. DOI: 10.1134/s0965542523020148
WOS
Scopus
РИНЦ
OpenAlex
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5
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Zadorin A.I.
Application a Taylor series to approximate a function with large gradients
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2023.
V.20. N2. P.1420-1429. DOI: 10.33048/semi.2023.20.087
WOS
Scopus
РИНЦ
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6
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Blatov I.A.
, Zadorin A.I.
Analysis of approaches to spline interpolation of functions with large gradients in the boundary layer
Journal of Physics: Conference Series. 2022.
V.2182. N1. 012016
. DOI: 10.1088/1742-6596/2182/1/012016
Scopus
РИНЦ
OpenAlex
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7
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Zadorin A.I.
Approaches to constructing two-dimensional interpolation formulas in the presence of boundary layers
Journal of Physics: Conference Series. 2022.
V.2182. N1. 012036
. DOI: 10.1088/1742-6596/2182/1/012036
Scopus
РИНЦ
OpenAlex
|
8
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Zadorin A.I.
, Zadorin N.A.
Lagrange Interpolation and the Newton–Cotes Formulas on a Bakhvalov Mesh in the Presence of a Boundary Layer
Computational Mathematics and Mathematical Physics. 2022.
V.62. N3. P.347-358. DOI: 10.1134/S0965542522030149
WOS
Scopus
РИНЦ
OpenAlex
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9
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Zadorin A.I.
Two-dimensional interpolation of functions with large gradients in boundary layers
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2022.
V.19. N2. P.688-697. DOI: 10.33048/semi.2022.19.057
WOS
Scopus
РИНЦ
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10
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Zadorin A.I.
Two-Dimensional Interpolation of Functions by Cubic Splines in the Presence of Boundary Layers
Journal of Mathematical Sciences (United States). 2022.
V.267. N4. P.511-518. DOI: 10.1007/s10958-022-06156-5
Scopus
РИНЦ
OpenAlex
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11
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Zadorin A.I.
, Zadorin N.A.
Application of the two-grid method for solving a singularly perturbed elliptic problem
Проблемы вычислительной и прикладной математики. 2022.
N2 (39). P.142-149.
РИНЦ
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12
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Blatov I.A.
, Zadorin A.I.
, Kitaeva E.V.
Application of Cubic Splines on Bakhvalov Meshes in the Case of a Boundary Layer
Computational Mathematics and Mathematical Physics. 2021.
V.61. N12. P.1911-1930. DOI: 10.1134/S096554252112006X
WOS
Scopus
OpenAlex
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13
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Zadorin A.I.
, Zadorin N.A.
Non-Polynomial Interpolation of Functions with Large Gradients and Its Application
Computational Mathematics and Mathematical Physics. 2021.
V.61. N2. P.167-176. DOI: 10.1134/S0965542521020147
WOS
Scopus
OpenAlex
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14
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Zadorin A.I.
New approaches to constructing quadrature formulas for functions with large gradients
Journal of Physics: Conference Series. 2021.
V.1901. 012055
:1-10. DOI: 10.1088/1742-6596/1901/1/012055
Scopus
OpenAlex
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15
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Blatov I.A.
, Zadorin A.I.
Application a cubic spline to calculate derivatives in the presence of a boundary layer
Journal of Physics: Conference Series. 2021.
V.1791. 012069
:1-8. DOI: 10.1088/1742-6596/1791/1/012069
Scopus
OpenAlex
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16
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Zadorin A.I.
Reduction of a boundary value problem for a system of diffusion-reaction equations to problem for a finite interval
Journal of Physics: Conference Series. 2020.
V.1441. 012178
:1-9. DOI: 10.1088/1742-6596/1441/1/012178
Scopus
OpenAlex
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17
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Zadorin A.I.
Optimization of nodes of Newton-Cotes formulas in the presence of an exponential boundary layer
Journal of Physics: Conference Series. 2020.
V.1546. N1. 012107
:1-8. DOI: 10.1088/1742-6596/1546/1/012107
WOS
Scopus
OpenAlex
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18
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Блатов И.А.
, Задорин А.И.
, Китаева Е.В.
Применение обобщенного сплайна для интерполяции функций с большими градиентами в пограничном слое
Журнал вычислительной математики и математической физики. 2020.
V.60. N3. P.413-428. DOI: 10.31857/s0044466920030059
РИНЦ
OpenAlex
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19
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Zadorin A.
, Zadorin N.
The spline approach to the calculation of derivatives on the Bakhvalov mesh in the presence of a boundary layer
CEUR Workshop Proceedings. 2020.
V.2642. P.1-7.
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