1
|
Kovyrkina O.A.
, Ostapenko V.V.
On the accuracy of shock-capturing schemes when calculating Cauchy problems with periodic discontinuous initial data
Russian Journal of Numerical Analysis and Mathematical Modelling. 2024.
V.39. N2. P.97-112. DOI: 10.1515/rnam-2024-0009
WOS
Scopus
РИНЦ
OpenAlex
|
2
|
Kovyrkina O.A.
, Kurganov A.A.
, Ostapenko V.V.
Comparative Analysis of the Accuracy of Three Different Schemes in the Calculation of Shock Waves
Mathematical Models and Computer Simulations. 2023.
V.15. N3. P.401-414. DOI: 10.1134/s2070048223030092
Scopus
РИНЦ
OpenAlex
|
3
|
Shaoshuai Chu
, О. А. Ковыркина
, Alexander Kurganov
, В. В. Остапенко
Experimental convergence rate study for three shock‐capturing schemes and development of highly accurate combined schemes
Numerical Methods for Partial Differential Equations. 2023.
V.39. N6. P.4317-4346. DOI: 10.1002/num.23053
WOS
Scopus
РИНЦ
OpenAlex
|
4
|
Ladonkina M.E.
, Nekliudova O.A.
, Ostapenko V.V.
, Tishkin V.F.
On the Accuracy of Discontinuous Galerkin Method Calculating Gas-Dynamic Shock Waves
Doklady Mathematics. 2023.
V.107. N2. P.120-125. DOI: 10.1134/s1064562423700746
WOS
Scopus
РИНЦ
OpenAlex
|
5
|
Kolotilov V.A.
, Kurganov A.A.
, Ostapenko V.V.
, Khandeeva N.A.
, Chu S.
On the Accuracy of Shock-Capturing Schemes Calculating Gas-Dynamic Shock Waves
Computational Mathematics and Mathematical Physics. 2023.
V.63. N7. P.1341-1349. DOI: 10.1134/S0965542523070060
WOS
Scopus
РИНЦ
OpenAlex
|
6
|
Kovyrkina O.A.
, Ostapenko V.V.
On accuracy of finite-difference schemes in calculations of centered rarefaction waves
Mathematical Models and Computer Simulations. 2023.
V.15. N1. P.S54-S63. DOI: 10.1134/S2070048223070104
РИНЦ
OpenAlex
|
7
|
Ostapenko V.V.
, Polunina E.I.
, Khandeeva N.A.
On the Integral Convergence of Numerical Schemes Calculating Gas-Dynamic Shock Waves
Doklady Mathematics. 2023.
V.108. P.374–381. DOI: 10.1134/S1064562423701260
WOS
Scopus
РИНЦ
OpenAlex
|
8
|
Kovyrkina O.A.
, Ostapenko V.V.
, Tishkin V.F.
On convergence of finite-difference shock-capturing schemes in the regions of shock waves influence
Doklady Mathematics. 2022.
V.105. N3. P.171-174. DOI: 10.1134/s1064562422030048
WOS
Scopus
РИНЦ
OpenAlex
|
9
|
Romanov V.G.
, Vedenyapin V.V.
, Vasin V.V.
, Kovyrkina O.A.
, Ostapenko V.V.
, Tishkin V.F.
, Astashova I.V.
, Lashin D.A.
, Filinovskiy A.V.
Erratum to: Several Articles in Doklady Mathematics
Doklady Mathematics. 2022.
V.106. N2. P.404-405. DOI: 10.1134/s106456242207002x
WOS
Scopus
РИНЦ
OpenAlex
|
10
|
Sharifullina T.
, Cherevko A.
, Ostapenko V.
Optimal control problem arising in mathematical modeling of cerebral vascular pathology embolization
Scientific Reports. 2022.
V.12. 1302
:1-15. DOI: 10.1038/s41598-022-05231-w
WOS
Scopus
РИНЦ
OpenAlex
|
11
|
Bragin M.D.
, Kovyrkina O.A.
, Ladonkina M.E.
, Ostapenko V.V.
, Tishkin V.F.
, Khandeeva N.A.
Combined Numerical Schemes
Computational Mathematics and Mathematical Physics. 2022.
V.62. N11. P.1743-1782. DOI: 10.1134/S0965542522100025
WOS
Scopus
РИНЦ
OpenAlex
|
12
|
Ostapenko V.V.
The dam-break problem in a semi-open channel
Doklady Physics. 2022.
V.67. N12. P.482-487. DOI: 10.1134/S1028335822120059
WOS
Scopus
РИНЦ
OpenAlex
|
13
|
Cherevko A.A.
, Gologush T.S.
, Ostapenko V.V.
Search for an optimal solution of the problem of arteriovenous malformation embolization by the particle swarm method
Journal of Applied Mechanics and Technical Physics. 2021.
V.62. N4. P.530-541. DOI: 10.1134/S0021894421040027
WOS
Scopus
РИНЦ
OpenAlex
|
14
|
Kovyrkina O.A.
, Ostapenko V.V.
On the accuracy of a MUSCL-type scheme when calculating discontinuous solutions
Mathematical Models and Computer Simulations. 2021.
V.13. N5. P.810-819. DOI: 10.1134/S2070048221050136
Scopus
РИНЦ
OpenAlex
|
15
|
Ladonkina M.E.
, Nekliudova O.A.
, Ostapenko V.V.
, Tishkin V.F.
On increasing the stability of the combined scheme of the discontinuous Galerkin method
Mathematical Models and Computer Simulations. 2021.
V.13. N6. P.979-985. DOI: 10.1134/S2070048221060119
Scopus
РИНЦ
OpenAlex
|
16
|
Ostapenko V.V.
, Khandeeva N.A.
Justification of the Method Of Integral Convergence for Studying the Accuracy of Difference Schemes
Mathematical Models and Computer Simulations. 2021.
V.13. N6. P.1028-1037. DOI: 10.1134/S207004822106017X
Scopus
РИНЦ
OpenAlex
|
17
|
Gologush T.S.
, Ostapenko V.V.
, Cherevko A.A.
Mathematical modeling of embolization of arteriovenous malformations with overflows on the basis of the two-phase filtering
Computational Mathematics and Mathematical Physics. 2021.
V.61. N9. P.1546-1558. DOI: 10.1134/S0965542521090104
WOS
Scopus
РИНЦ
OpenAlex
|
18
|
Ostapenko V.V.
Asymptotics of solutions to the problem of fluid outflow from a rectangular duct
Physics of Fluids. 2021.
V.33. 047106
:1-13. DOI: 10.1063/5.0045260
WOS
Scopus
РИНЦ
OpenAlex
|
19
|
Ostapenko V.V.
, Kolotilov V.A.
Application of the CABARET Scheme for Calculating Discontinuous Solutions of a Hyperbolic System of Conservation Laws
Doklady Mathematics. 2021.
V.104. N3. P.369-373. DOI: 10.1134/S1064562421060120
WOS
Scopus
РИНЦ
OpenAlex
|
20
|
Ostapenko V.V.
, Protopopova T.V.
ON MONOTONICITY OF A CABARET SCHEME APPROXIMATING A MULTIDIMENSIONAL SCALAR CONSERVATION LAW
Numerical Analysis and Applications. 2020.
V.13. N4. P.360-367. DOI: 10.1134/S1995423920040060
WOS
Scopus
РИНЦ
OpenAlex
|
21
|
Ladonkina M.
, Nekliudova O.
, Ostapenko V.
, Tishkin V.
Combined DG scheme conserving increased accuracy in shock influence regions
In compilation
AIP CONFERENCE PROCEEDINGS.
– American Institute of Physics – AIP.,
2020.
DOI: 10.1063/5.0027850
Scopus
РИНЦ
OpenAlex
|
22
|
Gologush T.S.
, Cherevko A.A.
, Ostapenko V.V.
Comparison of the WENO and CABARET schemes at calculation of the scalar conservation law with a nonconvex flux
In compilation
AIP CONFERENCE PROCEEDINGS.
– American Institute of Physics – AIP.,
2020.
DOI: 10.1063/5.0027482
Scopus
РИНЦ
OpenAlex
|
23
|
Kovyrkina O.A.
, Ostapenko V.V.
The problem of lifting a symmetric convex body from shallow water
European Journal of Mechanics, B/Fluids. 2020.
V.79. P.297-314. DOI: 10.1016/j.euromechflu.2019.09.020
WOS
Scopus
РИНЦ
OpenAlex
|
24
|
Ostapenko V.V.
Generalised solutions to the Benjamin problem
Journal of Fluid Mechanics. 2020.
V.893. R1
:1-12. DOI: 10.1017/jfm.2020.258
WOS
Scopus
РИНЦ
OpenAlex
|
25
|
Cherevko A.A.
, Gologush T.S.
, Petrenko I.A.
, Ostapenko V.V.
, Panarin V.A.
Modelling of the arteriovenous malformation embolization optimal scenario
Royal Society Open Science. 2020.
V.7. N7. 191992
:1-16. DOI: 10.1098/rsos.191992
WOS
Scopus
РИНЦ
OpenAlex
|
26
|
Ostapenko V.
Preface of the “Finite Difference Schemes of New Generation”
AIP Conference Proceedings. 2020.
N2293. 370001
:1-1. DOI: 10.1063/5.0030969
Scopus
РИНЦ
OpenAlex
|
27
|
Kovykrina O.A.
, Ostapenko V.V.
Accuracy of MUSCL-Type Schemes in Shock Wave Calculations
Doklady Mathematics. 2020.
V.101. N3. P.209-213. DOI: 10.1134/S1064562420030126
WOS
Scopus
РИНЦ
OpenAlex
|
28
|
Kovyrkina O.
, Ostapenko V.
On the accuracy of finite-difference schemes in smooth parts of calculated weak solutions
In compilation
AIP CONFERENCE PROCEEDINGS.
– American Institute of Physics – AIP.,
2020.
DOI: 10.1063/5.0026831
Scopus
РИНЦ
OpenAlex
|
29
|
Kovyrkina O.
, Ostapenko V.
On the accuracy of WENO schemes in the calculation of shock waves
In compilation
AIP CONFERENCE PROCEEDINGS.
– American Institute of Physics – AIP.,
2020.
DOI: 10.1063/5.0026832
Scopus
РИНЦ
OpenAlex
|
30
|
Ostapenko V.V.
, Zyuzina N.A.
, Kovyrkina O.A.
On the Monotonicity of the CABARET Scheme Approximating a Scalar Conservation Law with an Alternating Characteristic Field and Convex Flux Function
Mathematical Models and Computer Simulations. 2019.
V.11. N1. P.46-60. DOI: 10.1134/S2070048219010186
Scopus
РИНЦ
OpenAlex
|
31
|
Ostapenko V.V.
On the Strong Monotonicity of the Two-Time-Level CABARET Scheme
Mathematical Models and Computer Simulations. 2019.
V.11. N1. P.1-8. DOI: 10.1134/S2070048219010137
Scopus
РИНЦ
OpenAlex
|
32
|
Ostapenko V.V.
Application of Green−Naghdi equations for modeling wave flows with undular bores
Doklady Physics. 2019.
V.64. N2. P.66-69. DOI: 10.1134/S1028335819020046
WOS
Scopus
РИНЦ
OpenAlex
|
33
|
Ostapenko V.V.
, Khandeeva N.A.
The Accuracy of Finite-Difference Schemes Calculating the Interaction of Shock Waves
Doklady Physics. 2019.
V.64. N4. P.197-201. DOI: 10.1134/S1028335819040128
WOS
Scopus
РИНЦ
OpenAlex
|
34
|
Kovyrkina O.
, Ostapenko V.
Explicit combined finite-difference scheme of high accuracy
AIP Conference Proceedings. 2019.
V.2116. 450016
:1-4. DOI: 10.1063/1.5114483
Scopus
РИНЦ
OpenAlex
|
35
|
Kovyrkina O.A.
, Ostapenko V.V.
The problem about a symmetric convex body that is lifted from shallow water
Journal of Physics: Conference Series. 2019.
V.1268. 012034
:1-7. DOI: 10.1088/1742-6596/1268/1/012034
Scopus
РИНЦ
OpenAlex
|
36
|
Ostapenko V.V.
On modeling of undular bores based on the second approximation of the shallow water theory
Journal of Physics: Conference Series. 2019.
V.1268. 012052
:1-7. DOI: 10.1088/1742-6596/1268/1/012052
Scopus
РИНЦ
OpenAlex
|
37
|
Ostapenko V.V.
, Polunina E.I.
, Khandeeva N.A.
On a compact finite-difference scheme of the third order of weak approximation
Journal of Physics: Conference Series. 2019.
V.1359. 012072
:1-6. DOI: 10.1088/1742-6596/1359/1/012072
Scopus
РИНЦ
OpenAlex
|
38
|
Ladonkina M.E.
, Nekliudova O.A.
, Ostapenko V.V.
, Tishkin V.F.
Combined DG Scheme That Maintains Increased Accuracy in Shock Wave Areas
Doklady Mathematics. 2019.
V.100. N3. P.519-523. DOI: 10.1134/S106456241906005X
WOS
Scopus
РИНЦ
OpenAlex
|
39
|
Cherevko A.A.
, Gologush T.S.
, Petrenko I.A.
, Ostapenko V.V.
Modeling of the optimal scenario of arteriovenous malformation embolization
Journal of Physics: Conference Series. 2019.
V.1268. 012017
:1-7. DOI: 10.1088/1742-6596/1268/1/012017
Scopus
РИНЦ
OpenAlex
|
40
|
Ostapenko V.V.
Justification of the shallow-water theory
Doklady Physics. 2018.
V.64. N1. P.33-37. DOI: 10.1134/S1028335818010044
WOS
Scopus
OpenAlex
|
41
|
Ostapenko V.V.
On the Application of Shallow Water Theory to Modeling Wave Flows with Hydraulic Bores
Fluid Dynamics. 2018.
V.53. P.19-33. DOI: 10.1134/S0015462818060071
WOS
Scopus
OpenAlex
|
42
|
Zyuzina N.A.
, Ostapenko V.V.
, Polunina E.I.
A Splitting Method for a CABARET Scheme Approximating a Nonuniform Scalar Conservation Law
Numerical Analysis and Applications. 2018.
V.11. N2. P.146-157. DOI: 10.1134/S1995423918020052
WOS
Scopus
РИНЦ
OpenAlex
|
43
|
Zyuzina N.A.
, Ostapenko V.V.
Decay of unstable strong discontinuities in the case of a convex-flux scalar conservation law approximated by the CABARET scheme
Computational Mathematics and Mathematical Physics. 2018.
V.58. N6. P.950-966. DOI: 10.1134/S0965542518060155
WOS
Scopus
РИНЦ
OpenAlex
|
44
|
Kovyrkina O.A.
, Ostapenko V.V.
Monotonicity of the CABARET Scheme Approximating a Hyperbolic System of Conservation Laws
Computational Mathematics and Mathematical Physics. 2018.
V.58. N9. P.1435-1450. DOI: 10.1134/S0965542518090129
WOS
Scopus
РИНЦ
OpenAlex
|
45
|
Zyuzina N.A.
, Kovyrkina O.A.
, Ostapenko V.V.
Monotone Finite-Difference Scheme Preserving High Accuracy in Regions of Shock Influence
Doklady Mathematics. 2018.
V.98. N2. P.506-510. DOI: 10.1134/S1064562418060315
WOS
Scopus
РИНЦ
OpenAlex
|
46
|
Ladonkina M.E.
, Neklyudova O.A.
, Ostapenko V.V.
, Tishkin V.F.
On the Accuracy of the Discontinuous Galerkin Method in Calculation of Shock Waves
Computational Mathematics and Mathematical Physics. 2018.
V.58. N8. P.1344-1353. DOI: 10.1134/s0965542518080122
WOS
Scopus
РИНЦ
OpenAlex
|
47
|
Kovyrkina O.A.
, Ostapenko V.V.
On the construction of combined finite-difference schemes of high accuracy
Doklady Mathematics. 2018.
V.97. N1. P.77-81. DOI: 10.1134/S1064562418010246
WOS
Scopus
РИНЦ
OpenAlex
|
48
|
Kovyrkina O.
, Ostapenko V.
High order combined finite-difference schemes
AIP Conference Proceedings. 2018.
V.1978. 470027
:1-4. DOI: 10.1063/1.5044097
Scopus
РИНЦ
OpenAlex
|
49
|
Cherevko A.A.
, Gologush T.S.
, Petrenko I.A.
, Ostapenko V.V.
Two-phase filtration as a numerical model of embolization of arteriovenous malformation
AIP Conference Proceedings. 2018.
V.2027. 040028
:1-9. DOI: 10.1063/1.5065302
Scopus
РИНЦ
OpenAlex
|
50
|
Ostapenko V.V.
, Cherevko A.A.
Application of the CABARET scheme for calculation of discontinuous solutions of the scalar conservation law with nonconvex flux
Doklady Physics. 2017.
V.62. N10. P.470-474. DOI: 10.1134/s1028335817100056
WOS
Scopus
РИНЦ
OpenAlex
|