1. 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

  2. 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 journalArticlepeer-review

  3. 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

  4. 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

  5. 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 proceedingConference contributionResearchpeer-review

  6. 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 journalArticlepeer-review

  7. 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, 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. 030108. (AIP Conference Proceedings; vol. 1893).

    Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

  8. 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 journalConference articlepeer-review

  9. 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

  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

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