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  1. 2023

  2. Experimental convergence rate study for three shock-capturing schemes and development of highly accurate combined schemes

    Chu, S., Kovyrkina, O. A., Kurganov, A. & Ostapenko, V. V., Nov 2023, In: Numerical Methods for Partial Differential Equations. 39, 6, p. 4317-4346 30 p.

    Research output: Contribution to journal › Article › peer-review

  3. Comparative Analysis of the Accuracy of Three Different Schemes in the Calculation of Shock Waves

    Kovyrkina, O. A., Kurganov, A. A. & Ostapenko, V. V., Jun 2023, In: Mathematical Models and Computer Simulations. 15, 3, p. 401-414 14 p.

    Research output: Contribution to journal › Article › peer-review

  4. Method of quasi-invariant in CABARET schemes and its application for numerical calculation of gas dynamics problems

    Kolotilov, V. A. & Ostapenko, V. V., 2023, In: Journal of Computational Technologies. 28, 2, p. 58-71 14 p.

    Research output: Contribution to journal › Article › peer-review

  5. 2022

  6. Erratum to: Several Articles in Doklady Mathematics (Doklady Mathematics, (2022), 105, 3, (178-182), 10.1134/S1064562422330018)

    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., 1 Nov 2022, In: Doklady Mathematics. 106, 2, p. 404-405 2 p.

    Research output: Contribution to journal › Article › peer-review

  7. On Convergence of Finite-Difference Shock-Capturing Schemes in Regions of Shock Waves Influence

    Kovyrkina, O. A., Ostapenko, V. V. & Tishkin, V. F., Jun 2022, In: Doklady Mathematics. 105, 3, p. 171-174 4 p.

    Research output: Contribution to journal › Article › peer-review

  8. The Dam-Break Problem in a Semi-Open Channel

    Ostapenko, V. V., 2022, In: Doklady Physics. 67, 12, p. 480-485 6 p.

    Research output: Contribution to journal › Article › peer-review

  9. 2021

  10. Application of the CABARET Scheme for Calculating Discontinuous Solutions of a Hyperbolic System of Conservation Laws

    Ostapenko, V. V. & Kolotilov, V. A., Nov 2021, In: Doklady Mathematics. 104, 3, p. 369-373 5 p.

    Research output: Contribution to journal › Article › peer-review

  11. Mathematical Modeling of Embolization of Arteriovenous Malformations with Overflows on the Basis of the Two-Phase Filtering

    Gologush, T. S., Ostapenko, V. V. & Cherevko, A. A., Sept 2021, In: Computational Mathematics and Mathematical Physics. 61, 9, p. 1546-1558 13 p., 13.

    Research output: Contribution to journal › Article › peer-review

  12. Asymptotics of solutions to the problem of fluid outflow from a rectangular duct

    Ostapenko, V. V., 1 Apr 2021, In: Physics of Fluids. 33, 4, 047106.

    Research output: Contribution to journal › Article › peer-review

  13. Введение в теорию разностных схем

    Ковыркина, О. А., Остапенко, В. В. & Фроловская, О. А., 2021, Новосибирск: ИПЦ НГУ. 58 p.

    Research output: Book/Report › Teaching manual › peer-review

  14. 2020

  15. Combined DG scheme conserving increased accuracy in shock influence regions

    Ladonkina, M., Nekliudova, O., Ostapenko, V. & Tishkin, V., 24 Nov 2020, International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2019. Simos, T. E. & Tsitouras, C. (eds.). American Institute of Physics Inc., 370005. (AIP Conference Proceedings; vol. 2293).

    Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

  16. Comparison of the WENO and cabaret schemes at calculation of the scalar conservation law with a nonconvex flux

    Gologush, T. S., Cherevko, A. A. & Ostapenko, V. V., 24 Nov 2020, International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2019. Simos, T. E. & Tsitouras, C. (eds.). American Institute of Physics Inc., 370006. (AIP Conference Proceedings; vol. 2293).

    Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

  17. On the accuracy of finite-difference schemes in smooth parts of calculated weak solutions

    Kovyrkina, O. & Ostapenko, V., 24 Nov 2020, International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2019. Simos, T. E. & Tsitouras, C. (eds.). American Institute of Physics Inc., 370002. (AIP Conference Proceedings; vol. 2293).

    Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

  18. On the accuracy of WENO schemes in the calculation of shock waves

    Kovyrkina, O. & Ostapenko, V., 24 Nov 2020, International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2019. Simos, T. E. & Tsitouras, C. (eds.). American Institute of Physics Inc., 370003. (AIP Conference Proceedings; vol. 2293).

    Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

  19. Preface of the “finite difference schemes of new generation”

    Ostapenko, V., 24 Nov 2020, In: AIP Conference Proceedings. 2293, 370001.

    Research output: Contribution to journal › Editorial › peer-review

  20. Modelling of the arteriovenous malformation embolization optimal scenario: AVM embolization optimal scenario

    Cherevko, A. A., Gologush, T. S., Petrenko, I. A., Ostapenko, V. V. & Panarin, V. A., 1 Jul 2020, In: Royal Society Open Science. 7, 7, 16 p., 191992.

    Research output: Contribution to journal › Article › peer-review

  21. Generalised solutions to the Benjamin problem

    Ostapenko, V. V., 25 Jun 2020, In: Journal of Fluid Mechanics. 893, 12 p., R1.

    Research output: Contribution to journal › Article › peer-review

  22. Accuracy of MUSCL-Type Schemes in Shock Wave Calculations

    Kovyrkina, O. A. & Ostapenko, V. V., 1 May 2020, In: Doklady Mathematics. 101, 3, p. 209-213 5 p.

    Research output: Contribution to journal › Letter › peer-review

  23. The problem of lifting a symmetric convex body from shallow water

    Kovyrkina, O. A. & Ostapenko, V. V., 1 Jan 2020, In: European Journal of Mechanics, B/Fluids. 79, p. 297-314 18 p.

    Research output: Contribution to journal › Article › peer-review

  24. 2019

  25. On a compact finite-difference scheme of the third order of weak approximation

    Ostapenko, V. V., Polunina, E. I. & Khandeeva, N. A., 21 Nov 2019, In: Journal of Physics: Conference Series. 1359, 1, 6 p., 012072.

    Research output: Contribution to journal › Conference article › peer-review

  26. Combined dg scheme that maintains increased accuracy in shock wave areas

    Ladonkina, M. E., Nekliudova, O. A., Ostapenko, V. V. & Tishkin, V. F., Nov 2019, In: Doklady Mathematics. 100, 3, p. 519-523 5 p.

    Research output: Contribution to journal › Article › peer-review

  27. Explicit combined finite-difference scheme of high accuracy

    Kovyrkina, O. & Ostapenko, V., 24 Jul 2019, International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2018. Simos, T. E. & Tsitouras, C. (eds.). American Institute of Physics Inc., 4 p. 450016. (AIP Conference Proceedings; vol. 2116).

    Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

  28. On modeling of undular bores based on the second approximation of the shallow water theory

    Ostapenko, V. V., 16 Jul 2019, In: Journal of Physics: Conference Series. 1268, 1, 7 p., 012052.

    Research output: Contribution to journal › Conference article › peer-review

  29. The problem about a symmetric convex body that is lifted from shallow water

    Kovyrkina, O. A. & Ostapenko, V. V., 16 Jul 2019, In: Journal of Physics: Conference Series. 1268, 1, 7 p., 012034.

    Research output: Contribution to journal › Conference article › peer-review

  30. The Accuracy of Finite-Difference Schemes Calculating the Interaction of Shock Waves

    Ostapenko, V. V. & Khandeeva, N. A., 1 Apr 2019, In: Doklady Physics. 64, 4, p. 197-201 5 p.

    Research output: Contribution to journal › Article › peer-review

  31. Application of Green−Naghdi Equations for Modeling Wave Flows with Undular Bores

    Ostapenko, V. V., 1 Feb 2019, In: Doklady Physics. 64, 2, p. 66-69 4 p.

    Research output: Contribution to journal › Article › peer-review

  32. On the Monotonicity of the CABARET Scheme Approximating a Scalar Conservation Law with an Alternating Characteristic Field and Convex Flux Function

    Zyuzina, N. A., Kovyrkina, O. A. & Ostapenko, V. V., 1 Jan 2019, In: Mathematical Models and Computer Simulations. 11, 1, p. 46-60 15 p.

    Research output: Contribution to journal › Article › peer-review

  33. On the Strong Monotonicity of the Two-Time-Level CABARET Scheme

    Ostapenko, V. V., 1 Jan 2019, In: Mathematical Models and Computer Simulations. 11, 1, p. 1-8 8 p.

    Research output: Contribution to journal › Article › peer-review

  34. 2018

  35. Two-phase filtration as a numerical model of embolization of arteriovenous malformation

    Cherevko, A. A., Gologush, T. S., Petrenko, I. A. & Ostapenko, V. V., 2 Nov 2018, 19th International Conference on the Methods of Aerophysical Research, ICMAR 2018. Fomin (ed.). American Institute of Physics Inc., Vol. 2027. 9 p. 040028. (AIP Conference Proceedings; vol. 2027).

    Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

  36. Monotone Finite-Difference Scheme Preserving High Accuracy in Regions of Shock Influence

    Zyuzina, N. A., Kovyrkina, O. A. & Ostapenko, V. V., 1 Sept 2018, In: Doklady Mathematics. 98, 2, p. 506-510 5 p.

    Research output: Contribution to journal › Article › peer-review

  37. Monotonicity of the CABARET Scheme Approximating a Hyperbolic System of Conservation Laws

    Kovyrkina, O. A. & Ostapenko, V. V., 1 Sept 2018, In: Computational Mathematics and Mathematical Physics. 58, 9, p. 1435-1450 16 p.

    Research output: Contribution to journal › Article › peer-review

  38. On the Accuracy of the Discontinuous Galerkin Method in Calculation of Shock Waves

    Ladonkina, M. E., Neklyudova, O. A., Ostapenko, V. V. & Tishkin, V. F., 1 Aug 2018, In: Computational Mathematics and Mathematical Physics. 58, 8, p. 1344-1353 10 p.

    Research output: Contribution to journal › Article › peer-review

  39. High order combined finite-difference schemes

    Kovyrkina, O. & Ostapenko, V., 10 Jul 2018, International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2017. American Institute of Physics Inc., Vol. 1978. 4 p. 470027. (AIP Conference Proceedings; vol. 1978).

    Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

  40. Decay of Unstable Strong Discontinuities in the Case of a Convex-Flux Scalar Conservation Law Approximated by the CABARET Scheme

    Zyuzina, N. A. & Ostapenko, V. V., 1 Jun 2018, In: Computational Mathematics and Mathematical Physics. 58, 6, p. 950-966 17 p.

    Research output: Contribution to journal › Article › peer-review

  41. A Splitting Method for a CABARET Scheme Approximating a Nonuniform Scalar Conservation Law

    Zyuzina, N. A., Ostapenko, V. V. & Polunina, E. I., 1 Apr 2018, In: Numerical Analysis and Applications. 11, 2, p. 146-157 12 p.

    Research output: Contribution to journal › Article › peer-review

  42. Justification of Shallow-Water Theory

    Ostapenko, V. V., 1 Jan 2018, In: Doklady Physics. 63, 1, p. 33-37 5 p.

    Research output: Contribution to journal › Article › peer-review

  43. On the Construction of Combined Finite-Difference Schemes of High Accuracy

    Kovyrkina, O. A. & Ostapenko, V. V., 1 Jan 2018, In: Doklady Mathematics. 97, 1, p. 77-81 5 p.

    Research output: Contribution to journal › Article › peer-review

  44. 2017

  45. Numerical simulation of the drop spreading on a horizontal plane

    Zyuzina, N. A. & Ostapenko, V. V., 22 Oct 2017, In: Journal of Physics: Conference Series. 894, 1, 5 p., 012035.

    Research output: Contribution to journal › Article › peer-review

  46. Application of the CABARET scheme for calculation of discontinuous solutions of the scalar conservation law with nonconvex flux

    Ostapenko, V. V. & Cherevko, A. A., 1 Oct 2017, In: Doklady Physics. 62, 10, p. 470-474 5 p.

    Research output: Contribution to journal › Article › peer-review

  47. Wave flows induced by lifting of a rectangular beam partly immersed in shallow water

    Ostapenko, V. V. & Kovyrkina, O. A., 10 Apr 2017, In: Journal of Fluid Mechanics. 816, p. 442-467 26 p.

    Research output: Contribution to journal › Article › peer-review

  48. On construction of combined shock-capturing finite-difference schemes of high accuracy

    Ostapenko, V. & Kovyrkina, O., 2017, Numerical Analysis and Its Applications - 6th International Conference, NAA 2016, Revised Selected Papers. Dimov, Farago & Vulkov, L. (eds.). Springer, Vol. 10187 LNCS. p. 525-532 8 p. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); vol. 10187 LNCS).

    Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

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