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  1. 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

  2. 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

  3. 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

  4. 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

  5. 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

  6. 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

  7. 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

  8. 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

  9. 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

  10. 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

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