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  1. 2025

  2. Numerical Analysis of Stability Loss for Poiseuille-Type Polymer Fluid Flows under the Pulsed Effect of Pressure and Temperature

    Semisalov, B. V., Bugoets, I. A., Kutkin, L. I. & Shapeev, V. P., 28 Mar 2025, In: Computational Mathematics and Mathematical Physics. 65, 2, p. 383-402 20 p.

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

  3. Численный анализ потери устойчивости пуазейлевских течений полимерной жидкости под импульсным воздействием давления и температуры

    Семисалов, Б. В., Бугоец, И. А., Куткин, Л. И. & Шапеев, В. П., 2025, In: Журнал вычислительной математики и математической физики . 65, 2, p. 203-221

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

  4. 2024

  5. Numerical Analysis of the Blow-Up of One-Dimensional Polymer Fluid Flow with a Front

    Bryndin, L. S., Semisalov, B. V., Beliaev, V. A. & Shapeev, V. P., Jan 2024, In: Computational Mathematics and Mathematical Physics. 64, 1, p. 151-165 15 p.

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

  6. 2023

  7. Разработка и верификация упрощенного hp-варианта метода коллокации и наименьших квадратов для нерегулярных областей

    Брындин, Л. С., Беляев, В. А. & Шапеев, В. П., Aug 2023, In: Вестник ЮУрГУ. Серия "Математическое моделирование и программирование". 16, 3, p. 35-50 16 p., 3.

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

  8. SOLUTION OF THE CAUCHY PROBLEM FOR ORDINARY DIFFERENTIAL EQUATIONS USING THE COLLOCATION AND LEAST SQUARES METHOD WITH THE PADE APPROXIMATION

    Shapeev, V. P., 2023, In: Bulletin of the South Ural State University, Series: Mathematical Modelling, Programming and Computer Software. 16, 4, p. 71-83 13 p.

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

  9. 2022

  10. Verified simulation of the stationary polymer fluid flows in the channel with elliptical cross-section

    Semisalov, B., Belyaev, V., Bryndin, L., Gorynin, A., Blokhin, A., Golushko, S. & Shapeev, V., 1 Oct 2022, In: Applied Mathematics and Computation. 430, 127294.

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

  11. h-, p-, and hp-Versions of the Least-Squares Collocation Method for Solving Boundary Value Problems for Biharmonic Equation in Irregular Domains and Their Applications

    Belyaev, V. A., Bryndin, L. S., Golushko, S. K., Semisalov, B. V. & Shapeev, V. P., Apr 2022, In: Computational Mathematics and Mathematical Physics. 62, 4, p. 517-537 21 p.

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

  12. hp-Вариант метода коллокации и наименьших квадратов с интегральными коллокациями решения бигармонического уравнения

    Shapeev, V. P., Брындин, Л. С. & Беляев, В. А., 2022, In: Вестник Самарского государственного технического университета. Серия: физико-математические науки. 26, 3, p. 556-572 17 p., 8.

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

  13. 2021

  14. Численное решение с повышенной точностью эллиптических уравнений с разрывными коэффициентами

    Shapeev, V. P., Belyaev, V. A. & Bryndin, L. S., Nov 2021, In: Вестник ЮУрГУ. Серия "Математическое моделирование и программирование". 14, 4, p. 88-101 14 p., 7.

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

  15. New versions of the least-squares collocation method for solving differential and integral equations

    Shapeev, V., Golushko, S., Belyaev, V., Bryndin, L. & Kirillov, P., 4 Jan 2021, In: Journal of Physics: Conference Series. 1715, 1, 012031.

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

  16. The least-squares collocation method in the mechanics of deformable solids

    Golushko, S., Shapeev, V., Belyaev, V., Bryndin, L., Boltaev, A. & Gorynin, A., 4 Jan 2021, In: Journal of Physics: Conference Series. 1715, 1, 012029.

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

  17. Modelling and simulation of deformation and failure of reinforced concrete beams under four-point bending

    Belyaev, V. A., Boltaev, A. I., Bryndin, L. S., Golushko, S. K., Gorynin, A. G. & Shapeev, V. P., 2021, In: Journal of Siberian Federal University - Mathematics and Physics. 14, 6, p. 679-689 11 p., 2.

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

  18. 2020

  19. The least squares collocation method with the integral form of collocation equations for bending analysis of isotropic and orthotropic thin plates

    Belyaev, V. A., Bryndin, L. S., Shapeev, V. P. & Golushko, S. K., 26 Oct 2020, High-Energy Processes in Condensed Matter, HEPCM 2020: Proceedings of the XXVII Conference on High-Energy Processes in Condensed Matter, Dedicated to the 90th Anniversary of the Birth of RI Soloukhin. Fomin, V. M. (ed.). American Institute of Physics Inc., 6 p. 030084. (AIP Conference Proceedings; vol. 2288).

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

  20. Бездивергентный метод коллокаций и наименьших квадратов для расчета течений несжимаемой жидкости и его эффективная реализация

    Vorozhtsov, E. V. & Shapeev, V. P., Oct 2020, In: Вестник Самарского государственного технического университета. Серия: физико-математические науки. 24, 3, p. 542-573 32 p.

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

  21. 2019

  22. On the efficiency of combining different methods for acceleration of iterations at the solution of PDEs by the method of collocations and least residuals

    Vorozhtsov, E. V. & Shapeev, V. P., 15 Dec 2019, In: Applied Mathematics and Computation. 363, 19 p., 124644.

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

  23. Determining the law of ice deformation

    Buznik, V., Golushko, S., Amelina, E., Belyaev, V., Bryndin, L., Gorynin, A. & Shapeev, V., 6 Dec 2019, In: Journal of Physics: Conference Series. 1404, 1, 012010.

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

  24. Modeling of laser welding of plates made of dissimilar metals with the use of a composite insert

    Shapeev, V. P., Cherepanov, A. N. & Isaev, V. I., 22 Nov 2019, In: IOP Conference Series: Materials Science and Engineering. 681, 1, 012044.

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

  25. Solving elliptic equations in polygonal domains by the least squares collocation method

    Shapeev, V. P., Bryndin, L. S. & Belyaev, V. A., Aug 2019, In: Вестник ЮУрГУ. Серия "Математическое моделирование и программирование". 12, 3, p. 140-152 13 p.

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

  26. The least squares collocation method for the biharmonic equation in irregular and multiply-connected domains

    Shapeev, V., Golushko, S., Bryndin, L. & Belyaev, V., 16 Jul 2019, In: Journal of Physics: Conference Series. 1268, 1, 7 p., 012076.

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

  27. A Divergence-Free Method for Solving the Incompressible Navier–Stokes Equations on Non-uniform Grids and Its Symbolic-Numeric Implementation

    Vorozhtsov, E. V. & Shapeev, V. P., 1 Jan 2019, Computer Algebra in Scientific Computing - 21st International Workshop, CASC 2019, Proceedings. England, M., Sadykov, T. M., Seiler, W. M., Koepf, W. & Vorozhtsov, E. V. (eds.). Springer, p. 430-450 21 p. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); vol. 11661 LNCS).

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

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