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 journalArticlepeer-review

  3. 2024
  4. 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 journalArticlepeer-review

  5. 2023
  6. 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 journalArticlepeer-review

  7. 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 journalArticlepeer-review

  8. 2022
  9. 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 journalArticlepeer-review

  10. 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 journalArticlepeer-review

  11. 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 journalArticlepeer-review

  12. 2021
  13. 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 journalArticlepeer-review

  14. 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 journalConference articlepeer-review

  15. 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 journalConference articlepeer-review

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