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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. 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 journal › Article › peer-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 journal › Article › peer-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 journal › Article › peer-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 journal › Article › peer-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 journal › Article › peer-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 journal › Article › peer-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 journal › Article › peer-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 journal › Conference article › peer-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 journal › Conference article › peer-review

  16. 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

  17. 2020

  18. 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

  19. 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

  20. 2019

  21. 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

  22. 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

  23. 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

  24. 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

  25. 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

  26. 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

  27. 2018

  28. New Possibilities and Applications of the Least Squares Collocation Method

    Shapeev, V., Belyaev, V., Golushko, S. & Idimeshev, S., 14 Feb 2018, Mathematical Modeling and Computational Physics 2017, MMCP 2017. Adam, G., Busa, J., Hnatic, M. & Podgainy, D. (eds.). EDP Sciences, Vol. 173. 8 p. 01012. (EPJ Web of Conferences; vol. 173).

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

  29. 2017

  30. Modeling of laser welding of steel and titanium plates with a composite insert

    Isaev, V. I., Cherepanov, A. N. & Shapeev, V. P., 26 Oct 2017, AIP Conference Proceedings: Dedicated to the 60th Anniversary of the Khristianovich Institute of Theoretical and Applied Mechanics SB RAS. Fomin (ed.). American Institute of Physics Inc., Vol. 1893. 14 p. 030108. (AIP Conference Proceedings; vol. 1893).

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

  31. Versions of the collocation and least squares method for solving biharmonic equations in non-canonical domains

    Belyaev, V. A. & Shapeev, V. P., 26 Oct 2017, Proceedings of the XXV Conference on High-Energy Processes in Condensed Matter, HEPCM 2017: Dedicated to the 60th Anniversary of the Khristianovich Institute of Theoretical and Applied Mechanics SB RAS. Fomin (ed.). American Institute of Physics Inc., Vol. 1893. 14 p. 030102. (AIP Conference Proceedings; vol. 1893).

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

  32. The Method of Collocations and Least Residuals Combining the Integral Form of Collocation Equations and the Matching Differential Relations at the Solution of PDEs

    Shapeev, V. P. & Vorozhtsov, E. V., 1 Jan 2017, Computer Algebra in Scientific Computing - 19th International Workshop, CASC 2017, Proceedings. Gerdt, VP., Koepf, W., Seiler, WM. & Vorozhtsov, EV. (eds.). Springer, Vol. 10490 LNCS. p. 346-361 16 p. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); vol. 10490 LNCS).

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

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