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1
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Topal I.
, Cherevko A.
, Bugai Y.
, Shishlenin M.
, Barbier J.
, Eroglu D.
, Roldán É.
, Belousov R.
Data-Driven Modeling and Classification of Brain Blood-Flow Pathologies
AI. 2026.
V.7. N3. 105
:1-17. DOI: 10.3390/ai7030105
РИНЦ
OpenAlex
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2
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Kabanikhin S.
, Shishlenin M.
, Bakanov G.
, Liu S.
, Yuan L.
, Zhang Y.
Continuation problems: Theory, numerics, neural networks and applications
Journal of Inverse and Ill-Posed Problems. 2026.
V.34. N3. P.455–479. DOI: 10.1515/jiip-2024-0089
WOS
Scopus
РИНЦ
OpenAlex
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3
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Sergeenko K.
, Krutikov A.
, Golibrodo L.
, Zefirova A.
, Shishlenin M.
Selection of RANS turbulence model for calculating thermal hydraulics of fuel assemblies of LMC reactors at low Reynolds numbers
Nuclear Engineering and Design. 2026.
V.450. 114741
:1-10. DOI: 10.1016/j.nucengdes.2025.114741
WOS
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4
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Dudar M.
, Shishlenin M.
Inverse kinematic problem in 2d medical acoustic travel-time tomography
Computational Mathematics and Modeling. 2026.
DOI: 10.1007/s10598-026-09724-5
Scopus
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5
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Hào D.N.
, Shishlenin M.
, Van C.B.
Stable Numerical Solution to the Cauchy Problem for Multi-Dimensional Nonlinear Elliptic Equations via Artificial Neural Networks
Computational Mathematics and Mathematical Physics. 2026.
V.66. N7. P.1397–1421. DOI: 10.1134/S0965542526700727
WOS
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6
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Hào D.N.
, Shishlenin M.
, Van C.B.
Stable Numerical Solution to Multi-dimensional Nonlinear Inverse Heat Conduction Problems via Artificial Neural Networks
Lobachevskii Journal of Mathematics. 2026.
V.47. N3. P.1213-1232. DOI: 10.1134/s1995080225614705
WOS
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7
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Kabanikhin S.
, Mikhaylov A.
, Shishlenin M.
Wave discrete inverse problems: From boundary control to Gelfand–Levitan–Krein equations
Journal of Inverse and Ill-Posed Problems. 2026.
V.34. N5. P.929-950. DOI: 10.1515/jiip-2026-0092
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8
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Savchenko N.
, Novikov N.
, Shishlenin M.
Convolutional neural networks of recovering acoustic absorption in ultrasound tomography from gradient data
Journal of Mathematical Sciences (United States). 2025.
DOI: 10.1007/s10958-025-08064-w
Scopus
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9
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Korotkov A.V.
, Kozelkov A.S.
, Kurulin V.V.
, Shishlenin M.A.
Applying a synthetic turbulence generator to an unmatched RANS-LES interface
Journal of Computational and Applied Mathematics. 2025.
V.475. 116996
:1-24. DOI: 10.1016/j.cam.2025.116996
WOS
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10
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Petrovskii S.
, Shishlenin M.
, Glukhov A.
Understanding street protests: from a mathematical model to protest management
PLoS ONE. 2025.
V.20. N4. e0319837
:1-12. DOI: 10.1371/journal.pone.0319837
WOS
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11
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Bakanov G.
, Chandragiri S.
, Shishlenin M.A.
Jacobi numerical method for solving 3d continuation problem for wave equation
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2025.
V.22. N1. P.428-442. DOI: 10.33048/semi.2025.22.028
WOS
Scopus
РИНЦ
OpenAlex
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12
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Bakanov G.
, Chandragiri S.
, Kabanikhin S.
, Shishlenin M.
Comparative Analysis of Numerical Methods for Solving 3D Continuation Problem for Wave Equation
Mathematics. 2025.
V.13. N18. 2979
:1-33. DOI: 10.3390/math13182979
WOS
Scopus
OpenAlex
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13
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Bugai Y.V.
, Cherevko A.A.
, Shishlenin M.A.
Classification of cerebrovascular pathologies in real-time using nonlinear ODE-based surrogate model
Journal of Inverse and Ill-Posed Problems. 2025.
DOI: 10.1515/jiip-2025-0028
WOS
Scopus
OpenAlex
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14
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Tyatyushkina E.S.
, Kozelkov A.S.
, Giniyatullin R.R.
, Shishlenin M.A.
Propagation of pollutants in the atmosphere based on 3D Navier–Stokes equations: Direct and inverse source problem
Journal of Inverse and Ill-Posed Problems. 2025.
DOI: 10.1515/jiip-2025-0039
WOS
Scopus
РИНЦ
OpenAlex
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15
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Glukhov A.I.
, Shishlenin M.A.
, Trusov N.V.
Modelling the Dynamics of Social Protests: Mean-Field Gamesand Inverse Problems
Differential Equations. 2025.
V.61. N6. P.917-936. DOI: 10.1134/s0012266125060096
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16
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Surnin P.S.
, Shishlenin M.A.
, Bocharov G.A.
Determining parameters of the mathematical model of the immune response to HIV infection
Journal of Mathematical Sciences (United States). 2025.
V.293. N4. P.587-600. DOI: 10.1007/s10958-025-08027-1
Scopus
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17
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Duc N.V.
, Hào D.N.
, Shishlenin M.
Regularization of backward parabolic equations in Banach spaces by generalized Sobolev equations
Journal of Inverse and Ill-Posed Problems. 2024.
V.32. N1. P.9-20. DOI: 10.1515/jiip-2023-0046
WOS
Scopus
РИНЦ
OpenAlex
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18
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Shishlenin M.A.
, Kozelkov A.S.
, Novikov N.S.
Nonlinear Medical Ultrasound Tomography: 3D Modeling of Sound Wave Propagation in Human Tissues
Mathematics. 2024.
V.12. N2. 212
:1-14. DOI: 10.3390/math12020212
WOS
Scopus
РИНЦ
OpenAlex
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19
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Bezgachev M.V.
, Shishlenin M.A.
, Sokolov A.V.
Identification of a Mathematical Model of Economic Development of Two Regions of the World
Известия Иркутского государственного университета. Серия: Математика (Bulletin of Irkutsk State University. Series Mathematics). 2024.
V.47. P.12-30. DOI: 10.26516/1997-7670.2024.47.12
WOS
Scopus
РИНЦ
OpenAlex
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20
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Klyuchinskiy D.V.
, Novikov N.S.
, Shishlenin M.A.
On the numerical reconstruction of the three-dimensional density of the medium in the acoustic system of equations
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2024.
V.21. N2. P.A82-A98. DOI: 10.33048/semi.2024.21.A05
WOS
Scopus
РИНЦ
OpenAlex
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21
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Botchev M.A.
, Kabanikhin S.I.
, Shishlenin M.A.
, Tyrtyshnikov E.E.
The Cauchy problem for the 3D Poisson equation: Landweber iteration vs. horizontally diagonalize and fit method
Journal of Inverse and Ill-Posed Problems. 2023.
V.31. N2. P.203-221. DOI: 10.1515/jiip-2022-0092
WOS
Scopus
РИНЦ
OpenAlex
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22
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Shishlenin M.A.
, Shakhatova A.T.
, Mirgalikyzy T.
Recovering of the reservoir conductivity by measurements on the surface using gpr data
Eurasian Journal of Mathematical and Computer Applications. 2023.
V.11. N1. P.124-138. DOI: 10.32523/2306-6172-2023-11-1-124-138
WOS
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РИНЦ
OpenAlex
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23
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Novikov N.
, Shishlenin M.
Direct Method for Identification of Two Coefficients of Acoustic Equation
Mathematics. 2023.
V.11. N13. P.3029. DOI: 10.3390/math11133029
WOS
Scopus
РИНЦ
OpenAlex
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24
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Argun R.
, Levashova N.T.
, Lukyanenko D.V.
, Sidorova A.
, Shishlenin M.A.
Modeling the Dynamics of Negative Mutations for a Mouse Population and the Inverse Problem of Determining Phenotypic Differences in the First Generation
Mathematics. 2023.
V.11. N14. 3180
:1-17. DOI: 10.3390/math11143180
WOS
Scopus
РИНЦ
OpenAlex
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25
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Kabanikhin S.I.
, Shishlenin M.A.
, Novikov N.S.
, Prokhoshin N.
Spectral, Scattering and Dynamics: Gelfand–Levitan–Marchenko–Krein Equations
Mathematics. 2023.
V.11. N21. 4458
:1-31. DOI: 10.3390/math11214458
WOS
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РИНЦ
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26
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Lukyanenko D.V.
, Argun R.
, Borzunov A.A.
, Gorbachev A.V.
, Shinkarev V.D.
, Shishlenin M.A.
, Yagola A.G.
On the Features of Numerical Solution of Coefficient Inverse Problems for Nonlinear Equations of the Reaction–Diffusion–Advection Type with Data of Various Types
Differential Equations. 2023.
V.59. N12. P.1734-1757. DOI: 10.1134/s0012266123120133
WOS
Scopus
РИНЦ
OpenAlex
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27
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Shishlenin M.
, Savchenko N.
, Novikov N.
, Klyuchinskiy D.
Modeling of 2D Acoustic Radiation Patterns as a Control Problem
Mathematics. 2022.
V.10. N7. 1116
. DOI: 10.3390/math10071116
WOS
Scopus
РИНЦ
OpenAlex
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28
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Alsulami A.
, Glukhov A.
, Shishlenin M.
, Petrovskii S.
Dynamical modelling of street protests using the Yellow Vest Movement and Khabarovsk as case studies
Scientific Reports. 2022.
V.12. N1. DOI: 10.1038/s41598-022-23917-z
WOS
Scopus
РИНЦ
OpenAlex
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29
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Argun R.L.
, Gorbachev A.V.
, Lukyanenko D.V.
, Shishlenin M.A.
Features of Numerical Reconstruction of a Boundary Condition in an Inverse Problem for a Reaction–Diffusion–Advection Equation with Data on the Position of a Reaction Front
Computational Mathematics and Mathematical Physics. 2022.
V.62. N3. P.441-451. DOI: 10.1134/s0965542522030022
WOS
Scopus
РИНЦ
OpenAlex
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30
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Prikhodko A.
, Shishlenin M.
Comparative analysis of the numerical methods for 3D continuation problem for parabolic equation with data on the part of the boundary
Journal of Physics: Conference Series. 2021.
V.2092. N1. 012010
. DOI: 10.1088/1742-6596/2092/1/012010
Scopus
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31
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Kabanikhin S.I.
, Klyuchinskiy D.V.
, Novikov N.S.
, Shishlenin M.A.
On the problem of modeling the acoustic radiation pattern of source for the 2D first-order system of hyperbolic equations
Journal of Physics: Conference Series. 2021.
V.1715. N1. 012038
. DOI: 10.1088/1742-6596/1715/1/012038
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32
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Mikhailov G.A.
, Kabanikhin S.I.
, Laevsky Y.M.
, Penenko V.V.
, Glinsky B.M.
, Zagorulko Y.A.
, Shishlenin M.A.
, Podkolodnyy N.L.
, Penenko A.V.
International Conference «marchuk Scientific Readings 2021» (MSR-2021)
Journal of Physics: Conference Series. 2021.
V.2099. N1. 011001
. DOI: 10.1088/1742-6596/2099/1/011001
Scopus
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33
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Kabanikhin S.
, Prikhodko A.
, Shishlenin M.
Comparative analysis of methods of recovering the well flow-rate and water-cut by thermodynamic measurements
Journal of Physics: Conference Series. 2021.
V.1715. N1. 012042
. DOI: 10.1088/1742-6596/1715/1/012042
Scopus
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34
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Klyuchinskiy D.V.
, Novikov N.S.
, Shishlenin M.A.
Quantity of the inverse problem data for the system of conservation laws
Journal of Physics: Conference Series. 2021.
V.2092. N1. 012020
. DOI: 10.1088/1742-6596/2092/1/012020
Scopus
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35
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Kabanikhin S.I.
, Novikov N.S.
, Shishlenin M.A.
Gelfand-Levitan-Krein method in one-dimensional elasticity inverse problem
Journal of Physics: Conference Series. 2021.
V.2092. N1. 012022
. DOI: 10.1088/1742-6596/2092/1/012022
Scopus
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36
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Prikhodko A.
, Shishlenin M.
, Stadnichenko O.
Comparative analysis of numerical methods for determining parameters of chemical reactions from experimental data
Journal of Physics: Conference Series. 2021.
V.2092. N1. 012011
. DOI: 10.1088/1742-6596/2092/1/012011
Scopus
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37
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Shishlenin M.A.
, Izzatulah M.
, Novikov N.S.
Comparative Study of Acoustic Parameter Reconstruction by using Optimal Control Method and Inverse Scattering Approach
Journal of Physics: Conference Series. 2021.
V.2092. N1. 012004
. DOI: 10.1088/1742-6596/2092/1/012004
Scopus
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38
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Kabanikhin S.I.
, Kulikov I.M.
, Shishlenin M.A.
An Algorithm for Recovering the Characteristics of the Initial State of Supernova
Computational Mathematics and Mathematical Physics. 2020.
V.60. N6. P.1008-1016. DOI: 10.1134/S0965542520060135
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39
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Kabanikhin S.I.
, Klychinskiy D.V.
, Kulikov I.M.
, Novikov N.S.
, Shishlenin M.A.
Direct and inverse problems for conservation laws
Monography chapter
Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy: A Liber Amicorum to Professor Godunov.
– Springer Nature.,
2020.
– C.217-222. – ISBN 9783030388690. DOI: 10.1007/978-3-030-38870-6_28
Scopus
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40
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Kabanikhin S.I.
, Klyuchinskiy D.V.
, Novikov N.S.
, Shishlenin M.A.
Numerics of acoustical 2D tomography based on the conservation laws
Journal of Inverse and Ill-Posed Problems. 2020.
V.28. N2. P.287-297. DOI: 10.1515/jiip-2019-0061
WOS
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41
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Krivorotʹko O.I.
, Kabanikhin S.I.
, Zyatkov N.Y.
, Приходько А.Ю.
, Прохошин Н.М.
, Shishlenin M.A.
Mathematical modeling and forecasting of COVID-19 in Moscow and Novosibirsk region
Сибирский журнал вычислительной математики. 2020.
N4. P.395-414. DOI: 10.15372/sjnm20200404
OpenAlex
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42
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Klyuchinskiy D.
, Novikov N.
, Shishlenin M.
A Modification of gradient descent method for solving coefficient inverse problem for acoustics equations
Computation. 2020.
V.8. N3. 73
. DOI: 10.3390/COMPUTATION8030073
WOS
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43
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Isakov V.M.
, Kabanikhin S.I.
, Shananin A.A.
, Shishlenin M.A.
, Zhang S.
Algorithm for Determining the Volatility Function in the Black–Scholes Model
Computational Mathematics and Mathematical Physics. 2019.
V.59. N10. P.1753-1758. DOI: 10.1134/S0965542519100099
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44
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Belonosov A.
, Shishlenin M.
, Klyuchinskiy D.
A comparative analysis of numerical methods of solving the continuation problem for 1D parabolic equation with the data given on the part of the boundary
Advances in Computational Mathematics. 2019.
V.45. N2. P.735-755. DOI: 10.1007/s10444-018-9631-7
WOS
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45
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Kabanikhin S.I.
, Shishlenin M.A.
Digital field
Georesources. 2018.
V.20. N3. P.139-141. DOI: 10.18599/grs.2018.3.139-141
WOS
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46
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Kabanikhin S.I.
, Shishlenin M.A.
Recovering a Time-Dependent Diffusion Coefficient from Nonlocal Data
Numerical Analysis and Applications. 2018.
V.11. N1. P.38-44. DOI: 10.1134/S1995423918010056
WOS
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47
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Hào D.N.
, Thu G.
, Kabanikhin S.
, Shishlenin M.
A finite difference method for the very weak solution to a Cauchy problem for an elliptic equation
Journal of Inverse and Ill-Posed Problems. 2018.
V.26. N6. P.835-857. DOI: 10.1515/jiip-2018-0060
WOS
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