info@viam.science.tsu.ge (+995 32) 2 30 30 40 (+995 32) 2 18 66 45

Mikheil Gagoshidze

  • Partial Differential Equations Department
    Researcher
  • Office: room 220, University str.11, 0186 Tbilisi, Georgia
  • Phone: (+995) 514 04 14 24
  • E-mail: MishaGagoshidze@gmail.com, mikheil.gagoshidze@tsu.ge
  • Research fields: Computer Science / Mathematics

Summary

Education
2004-2008, Bachelor of Computer Sciences with the speciality in Computer Science, Faculty of Exact and Natural Sciences of Ivane Javakhishvili Tbilisi State University. № 000467, 03.07.2008
2009-2011, Master’s Degree in Mathematics of the School of Graduate Studies, Ilia State University. № 000230, 03.04.2011
2012-2015, Ph.D. Academic Degree in Informatics of Faculty of Mathematics and Computer Sciences, Sokhumi State University. „Approximate Solution of Some System of Nonlinear Partial Differential Equations“. № 000042, 02.10.2015

Employment
2008-2019: BDO, Developer, Tbilisi, Georgia.
2013-2017: "Step-by-Step", Scientific School of Applied Mathematics, Tbilisi, Iv. Javakhishvili Tbilisi State University (TSU), I. Vekua Institute of Applied Mathematics, Faculty of Exact and Natural Sciences, TSU Children's University, Head, Assistant.
2017-2021: Georgian Technical University (GTU), Assistant Professor.
2017-up to now: European University, Associate Professor.
2018- up to now: Ilia Vekua Institute of Applied Mathematics of Ivane Javakhishvili Tbilisi State University, Scientific Researcher.
2019- up to now: I Know, Developer, Tbilisi, Georgia.
2019- up to now: Business and Technology University (BTU), Associate Professor.
2020- up to now: Georgian Industrial Group, Developer, Tbilisi, Georgia.
2020: Georgian American University (GAU), Lecturer.
2021- up to now: Kutiaisi University, Head of the educational program of informatics, Head of IT Departament.

Projects

Talks

  • Numerical Solution of One ultidimensional System of Partial Differential Equations Using Machine Learning, by Mikheil Gagoshidze (Speaker) at XXXVII International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics (VIAM) of Ivane Javakhisvili Tbilisi State University (TSU), Tbilisi, Georgia, 22-24 April, 2024.
  • Numerical Solution of Two Systems of Nonlinear Partial Differential Equations Using Machine Learning, by Mikheil Gagoshidze (Speaker), Temur Jangveladze, Zurab Kiguradze at 7th International Conference on Advances in Natural and Applied Sciences (ICANAS 2024), Antalya, Turkey, 17-20 April, 2024.
  • Two Methods of the Numerical Solution of One System of Nonlinear Partial Differential Equations, by Besiki Tabatadze (Speaker), Mikheil Gagoshidze , Temur Jangveladze, Zurab Kiguradze at Fourth International Conference "MODERN PROBLEMS IN APPLIED MATHEMATICS" Dedicated to the 105th Anniversary of I.Javakhishvili Tbilisi State University (TSU) & 55th Anniversary of I.Vekua Institute of, Tbilisi, Georgia, 13-15 September, 2023.
  • Some Properties and Numerical Solution of Initial-Boundary Value Problem for One System of Nonlinear Partial Differential Equations, by Mikheil Gagoshidze (Speaker), Temur Jangveladze, Zurab Kiguradze at XIII International Conference of the Georgian Mathematical Union,, Batumi, Georgia, 04-09 September, 2023.
  • Numerical Solution of One Two-Dimensional System of Nonlinear Partial Differential Equations, by Besiki Tabatadze (Speaker), Mikheil Gagoshidze , Temur Jangveladze, Zurab Kiguradze at XIII International Conference of the Georgian Mathematical Union, Batumi, Georgia, 04-09 September, 2023.
  • On One Nonlinear Parabolic Integro-Differential Model, by Teimuraz Chkhikvadze (Speaker), Mikheil Gagoshidze , Temur Jangveladze, Zurab Kiguradze at XIII International Conference of the Georgian Mathematical Union, Batumi, Georgia, 04-09 September, 2023.
  • Comparative Analysis of Approximate Solutions for a Numerical Solution of a Two-Dimensional Nonlinear Model., by Besiki Tabatadze (Speaker), Temur Jangveladze, Mikheil Gagoshidze at The Tbilisi Analysis & PDE Workshop (TAPDE Workshop 2023), Tbilisi, Georgia, from 30 August to 02 September, 2023.
  • On two systems of nonlinear partial differential equations, by Mikheil Gagoshidze (Speaker), Temur Jangveladze, Zurab Kiguradze at Third International Conference MATHEMATICS IN ARMENIA Advances and Perspectives, Dedicated to the 80th anniversary of foundation of Armenian National Academy of Sciences, Yerevan, Armenia, 02-08 July, 2023.
  • Numerical Solution Of One Nonlinear Partial Differential Multidimensional System, by Mikheil Gagoshidze (Speaker) at XXXVII International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics (VIAM) of Ivane Javakhisvili Tbilisi State University (TSU), Dedicated to the 105th Anniversary of, Tbilisi, Georgia, 19-22 April, 2023.
  • Asymptotic Properties and Approximate Solution of Initial-Boundary Value Problem for One Nonlinear Partial Differential Model, by Nino Mzhavanadze (Speaker), Mikheil Gagoshidze , Temur Jangveladze at XII International Conference of the Georgian Mathematical Union, Batumi, Georgia, from 29 August to 03 September, 2022.
  • Investigation and Approximate Solution of Nonlinear One-Dimensional Maxwell System, by Mikheil Gagoshidze (Speaker), Temur Jangveladze, Zurab Kiguradze at XIII Annual International Meeting of the Georgian Mechanical Union, Batumi, Georgia, 24-26 August, 2022.
  • Hopf Bifurcation and its Computer Simulation for One-Dimensional Maxwell's Model, by Temur Jangveladze (Speaker), Mikheil Gagoshidze at XXX Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics (VIAM) of Ivane Javakhisvili Tbilisi State University (TSU)., Tbilisi, Georgia, 20-22 April, 2022.
  • Asymptotic Behavior and Numerical Solution of Initial-Boundary Value Problem for one Nonlinear System, by Mikheil Gagoshidze (Speaker) at XI International Conference of the Georgian Mathematical Union, Batumi, Georgia, 23-28 August, 2021.
  • Linear Stability of the Steady State Solution and Numerical Approximation of a Nonlinear Partial Differential System, by Giorgi Tsulaia (Speaker), Mikheil Gagoshidze at XXXIII International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics (VIAM) of Ivane Javakhisvili Tbilisi State University (TSU), Tbilisi, Georgia, 23-25 April, 2019.
  • About Numerical Realization of the Perturbation Algorithm for the Initial-Boundary Value Problem for Parabolic Equation, by Ekaterine Gulua (Speaker), Mikheil Gagoshidze at XXXIII International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics (VIAM) of Ivane Javakhisvili Tbilisi State University (TSU), Tbilisi, Georgia, 23-25 April, 2019.
  • On the Numerical Solution of One Nonlinear Integrodifferential System with Source Terms, by Mikheil Gagoshidze (Speaker) at XXXI International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics (VIAM) of Ivane Javakhisvili Tbilisi State University (TSU) Dedicated to the 110th Birthday Anniver, Tbilisi, Georgia, from 19 May to 21 April, 2017.
  • Hopf Bifurcation and its Computer Simulation for One-Dimensional Maxwell's Model, by Temur Jangveladze (Speaker), Mikheil Gagoshidze at XXX Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics (VIAM) of Ivane Javakhisvili Tbilisi State University (TSU), Tbilisi, Georgia, 20-22 April, 2016.
  • Approximate Solution of One-Dimensional Nonlinear Maxwell Model with Heat Conductivity Term, by Mikheil Gagoshidze (Speaker), Maia Aptsiauri at XXIX Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics (VIAM) of Ivane Javakhisvili Tbilisi State University (TSU)., Tbilisi, Georgia, 22-24 April, 2015.
  • On Numerical Solution of One Nonlinear Multi-Dimensional System of Partial Differential Equations, by Temur Jangveladze (Speaker), Mikheil Gagoshidze at V Annual Conference of Georgian Mathematical Union, Batumi, Georgia, 08-12 September, 2014.
  • On One Nonlinear Averaged Integro-Differential System with Source Terms, by Maia Aptsiauri (Speaker), Mikheil Gagoshidze at XXVIII Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics (VIAM) of Ivane Javakhisvili Tbilisi State University (TSU), Tbilisi, Georgia, 22-24 April, 2014.
  • Large Time Behavior and SemiDiscrete Scheme for One Nonlinear Partial Integro-Differential Equation, by Temur Jangveladze (Speaker), Zurab Kiguradze, Mikheil Gagoshidze at SIAM SEAS Conference, Florida Institute of Technology Melbourne, USA, Florida, March 29-30, 2014. SIAM Abstracts Book, 2014, p.47., Florida, USA, 29-30 March, 2014.
  • Parabolic Regularization for One Nonlinear Diffusion Model, by Mikheil Gagoshidze (Speaker) at IV International Conference of the Georgian Mathematical Union, dedicated to Academician Victor Kupradze (1903 – 1985) on the occasion of 110-th anniversary of his birthday and to the Georgian Mathem, Batumi, Georgia, 09-15 September, 2013.
  • Semi-Discrete Scheme for One System Of Nonlinear Averaged Integro-Differential Equations, by Mikheil Gagoshidze (Speaker), Maia Aptsiauri at XXVII Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics (VIAM) of Ivane Javakhisvili Tbilisi State University (TSU), Tbilisi, Georgia, 22-24 April, 2013.
  • On Parabolic Regularization for One Nonlinear Diffusion Model, by Mikheil Gagoshidze (Speaker) at XXVI Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics of Ivane Javakhisvili Tbilisi State University, Tbilisi, Georgia, 23-25 April, 2012.
  • On One Nonlinear Diffusion System, by Mikheil Gagoshidze (Speaker), Temur Jangveladze at XXV Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics of Ivane Javakhisvili Tbilisi State University, Tbilisi, Georgia, 20-23 April, 2011.
  • Numerical Resolution of On Nonlinear Parabolic System, by Mikheil Gagoshidze (Speaker) at XXIV Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics of Ivane Javakhisvili Tbilisi State University, Tbilisi, Georgia, 21-23 April, 2010.

Publications

  • Temur Jangveladze, Mikheil Gagoshidze , Zurab Kiguradze, Besiki Tabatadze, Tabatadze B.Two Methods of the Numerical Solution of One System of Nonlinear Partial Differential Equations, Lecture Notes of TICMI, V.25, (accepted), Tbilisi University Press, 2024.
  • Mikheil Gagoshidze , On one-dimensional nonlinear system based on Maxwell model, Reports of Enlarged Sessions of the Seminar of I. Vekua Institute of Applied Mathematics, Vol. 35, 35-38, Tbilisi University Press, 2021.
  • Temur Jangveladze, Mikheil Gagoshidze , An Analysis of the Hopf Bifurcation and Computer Simulation for One-Dimensional Maxwell-Type Nonlinear System, Tskhum-Abkhazian Academy of Sciences, Proceedings, V.XXI, 186-200, Meridiani, 2021.
  • Temur Jangveladze, Zurab Kiguradze, Mikheil Gagoshidze , Economical Difference Scheme for One Multi-Dimensional Nonlinear System, Acta Mathematica Scientia, Vol. 39 (4), 971-988, Springer, 2019.
  • Mikheil Gagoshidze , On the Numerical Solution of One Nonlinear Integrodifferential System with Source Terms, Reports of Enlarged Sessions of the Seminar of I. Vekua Institute of Applied Mathematics, Vol. 31, 43-46, Tbilisi University Press , 2017.
  • Temur Jangveladze, Zurab Kiguradze, Mikheil Gagoshidze , Besiki Tabatadze, Comparison of Two Methods of Numerical Solution of Mitchison Biological System of Nonlinear Partial Differential Equations, International Journal of Mathematics and Computers in Simulation, V.11, p.25-31, Elsevier, 2017.
  • Temur Jangveladze, Mikheil Gagoshidze , Hopf Bifurcation and its Computer Simulation for One-Dimensional Maxwell's Model, Reports of Enlarged Sessions of the Seminar of I. Vekua Institute of Applied Mathematics, Vol. 30, 27-30, Tbilisi University Press, 2016.
  • Maia Aptsiauri, Mikheil Gagoshidze , Approximate Solution of One-Dimensional Nonlinear Maxwell, Reports of Enlarged Sessions of the Seminar of I. Vekua Institute of Applied Mathematics, Vol. 29, 12-15, Tbilisi University Press, 2015.
  • Mikheil Gagoshidze , Temur Jangveladze, Zurab Kiguradze, Maia Nikolishvili, Stability and Convergence of the Variable Directions Difference Scheme for One Nonlinear Two-dimensional Model, International Journal of Biomathematics, V.8, N5, 1550057 (21 pages), World Scientific, 2015.
  • Maia Aptsiauri, Mikheil Gagoshidze , On One Nonlinear Averaged Integro-Differential System with Source Terms, Reports of Enlarged Sessions of the Seminar of I. Vekua Institute of Applied Mathematics, Vol. 28, 5-8, Tbilisi University Press, 2014.
  • Temur Jangveladze, Zurab Kiguradze, Mikheil Gagoshidze , Large Time Behavior of Solution and Semi-Discrete Scheme for One Nonlinear Integro-Differential Equation with Source Terms, Journal of Applied Mathematics and Mechanics, V.19, N2, p.10-17, Elsevier, 2014.
  • Maia Aptsiauri, Mikheil Gagoshidze , Semi-Discrete Scheme for One System of Nonlinear Averaged Integro-Differential Equations, Reports of Enlarged Sessions of the Seminar of I. Vekua Institute of Applied Mathematics, Vol. 27, 1-4, Tbilisi University Press, 2013.
  • Mikheil Gagoshidze , On Parabolic Regularization of One Nonlinear Diffusion Model, Reports of Enlarged Sessions of the Seminar of I. Vekua Institute of Applied Mathematics, Vol. 26, 14-17, Tbilisi University Press, 2012.
  • Mikheil Gagoshidze , Temur Jangveladze, On One Nonlinear Diffusion System, Reports of Enlarged Sessions of the Seminar of I. Vekua Institute of Applied Mathematics, Vol. 25, 39-43, Tbilisi University Press, 2011.
  • Mikheil Gagoshidze , Numerical Resolution of One Nonlinear Parabolic System, Reports of Enlarged Sessions of the Seminar of I. Vekua Institute of Applied Mathematics, Vol. 24, 40-44, Tbilisi University Press, 2010.