1. 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 journalArticlepeer-review

  2. 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 proceedingConference contributionResearchpeer-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 journalArticlepeer-review

  4. 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 journalArticlepeer-review

  5. 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 proceedingConference contributionResearchpeer-review

  6. 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 journalArticlepeer-review

  7. 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 journalArticlepeer-review

  8. 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 journalArticlepeer-review

  9. 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 journalArticlepeer-review

  10. 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 journalArticlepeer-review

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