1. 2017
  2. 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 proceedingConference contributionResearchpeer-review

  3. 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

  4. 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 proceedingConference contributionResearchpeer-review

  5. 2018
  6. 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

  7. 2019
  8. 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 proceedingConference contributionResearchpeer-review

  9. 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 journalConference articlepeer-review

  10. 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 journalArticlepeer-review

  11. 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

  12. 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 journalConference articlepeer-review

  13. 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

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