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

Zurab Vashakidze

  • PhD Student
  • Office: University str.11, 0186 Tbilisi, Georgia
  • Phone:
  • E-mail: zurab.vashakidze@gmail.com
  • Research fields:

Summary

Talks

  • On Convergence of a Three-Layer Semi-Discrete Scheme for the Nonlinear Dynamic String Equation of Kirchhoff-Type with Time-Dependent Coefficients, by Zurab Vashakidze (Speaker), Jemal Rogava at The 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 Instit, Tbilisi, Georgia, 13-15 September, 2023.
  • Convergence and numerical experiments of a three-layer semi-discretization approach for the nonlinear Kirchhoff-type dynamic string equation with time-varying coefficients, by Zurab Vashakidze (Speaker), Jemal Rogava at XIII Annual International Conference of the Georgian Mathematical Union, Batumi, Georgia, 04-09 September, 2023.
  • On a Convergence of a Three-Layer Semi-Discrete Approach for Solving the Nonlinear Dynamic Kirchhoff-Type String Equation with Time-Varying Coefficients, by Zurab Vashakidze (Speaker), Jemal Rogava at The Tbilisi Analysis & PDE Workshop (TAPDE Workshop 2023), Tbilisi, Georgia, from 30 August to 02 September, 2023.
  • On the numerical computations to J. Ball’s beam equation in the case where the material's effective viscosity is dependent on its velocity, by Archil Papukashvili (Speaker), Giorgi Geladze, Zurab Vashakidze, Meri Sharikadze at XIV Annual International Meeting of the Georgian Mechanical Union, Poti, Georgia, 29-31 August, 2023.
  • On the numerical solution to J. Ball’s beam equation in the case where the material's effective viscosity is dependent on its velocity, by Archil Papukashvili (Speaker), Giorgi Geladze, Zurab Vashakidze, Meri Sharikadze at XXXVII International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics of Ivane Javakhisvili Tbilisi State University, Tbilisi, Georgia, 19-22 April, 2023.
  • On the Algorithm of an Approximate Solution and Numerical Computations for the J. Ball Nonlinear Integro-Differential Equation, by Archil Papukashvili (Speaker), Giorgi Geladze, Zurab Vashakidze, Meri Sharikadze at XII International Conference Of The Georgian Mathematical Union, Batumi, Georgia, from 29 August to 03 September, 2022.
  • A numerical solution of anti-plane problems of the elasticity theory for composite isotrpic plane slackened by a linear crack, by Archil Papukashvili (Speaker), Giorgi Geladze, Zurab Vashakidze, Meri Sharikadze at XIII Annual International Meeting of the Georgian Mechanical Union, Batumi, Georgia, 24-26 August, 2022.
  • On the algorithm of an approximate solution and numerical computations for J. Ball nonlinear integro-differential equation, by Archil Papukashvili (Speaker), Giorgi Geladze, Zurab Vashakidze, Meri Sharikadze at XXXVI International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics of Ivane Javakhisvili Tbilisi State University, Dedic. to the 85th anniversaries of T. Vashakmadze, Tbilisi, Georgia, 19-21 April, 2022.
  • On the Numerical Computations of the Anti-Plane Problem of the Elasticity Theory in the Case of a Composite Isotropic Body Weakened by a Perpendicular Crack to the Dividing Border, by Archil Papukashvili (Speaker), Zurab Vashakidze, Meri Sharikadze at XII Annual International Meeting of the Georgian Mechanical Union, Kutaisi, Georgia, 09-11 September, 2021.
  • On the Approximate Solution Using the Collocation Method of the Singular Integral Equation Containing the Fixed Singularity, by Archil Papukashvili (Speaker), Zurab Vashakidze, Meri Sharikadze at XI Annual International Conference of the Georgian Mathematical Union, Batumi, Georgia, 23-28 August, 2021.
  • An Approximate Solution of the Anti-Plane Problems of Elasticity Theory for Isotropic Composite Plane Weakened by Crack Using a Method of Discrete Singularity, by Archil Papukashvili (Speaker), Zurab Vashakidze, Meri Sharikadze at XXXV International Enlarged Session of the Seminar of Ilia Vekua Institute of Applied Mathematics of Iv. Javakhishvili Tbilisi State University, Tbilisi, Georgia, 21-24 April, 2021.
  • Variational-Difference Scheme for Kirchhoff Two-Dimensional Nonlinear Dynamical Equation. , by Zurab Vashakidze (Speaker), Jemal Rogava, Archil Papukashvili at VIII Annual International Conference of the Georgian Mathematical Union., Batumi, Georgia, 04-08 September, 2017.
  • Numerical Computation of the Kirchhoff type Nonlinear Static Beam Equation by Iterative Method. , by Archil Papukashvili (Speaker), Jemal Peradze, Zurab Vashakidze at VIII Annual International Conference of the Georgian Mathematical Union. , Batumi, Georgia, 04-08 September, 2017.
  • On one method of approximate solution of Kirchhoff type static beam nonlinear integrodifferential equation, by Archil Papukashvili (Speaker), Zurab Vashakidze, Meri Sharikadze at XXXI Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics of Ivane Javakhisvili Tbilisi State University, Tbilisi, Georgia, 19-21 April, 2017.
  • Approximate solution of some boundary value problem of antiplane elasticity theory by collocation method for composite bodies weakened by cracks. , by Archil Papukashvili (Speaker), Teimurazi Davitashvili, Zurab Vashakidze at VI Annual Meeting of the Georgian Mechanical Union, Tbilisi Georgia, from 29 September to 04 October, 2015.
  • On Crack Behavior in the Composite Piece-wise Homogeneous Body, by Teimurazi Davitashvili (Speaker), Archil Papukashvili, Zurab Vashakidze at Proceedings of the 4th International Conference on Applied and Computational Mathematics (ICACM '15), Seoul, South Korea , 05-07 September, 2015.
  • On the numerical solution of contact problem for Poissons and Kirchhoff equation system , by Archil Papukashvili (Speaker), Jemal Rogava, Zurab Vashakidze at V Annual Meeting of the Georgian Mechanical Union, Tbilisi Georgia, 08-10 October, 2014.
  • On one method of approximate solution of Dirchlet boundary value problem of Poisson’s equation for two dimensional body having cross form, by Archil Papukashvili (Speaker), Zurab Vashakidze at V Annual International Conference of the Georgian Mathematical Union, Batumi, Georgia, 08-12 September, 2014.
  • On one finite-difference method of the Approximate Solution of 3D Mixed Boundary Value Problem of Elasticity Theory, by Archil Papukashvili (Speaker), Meri Sharikadze, Zurab Vashakidze at IV Anual Conference of the Georgian Mathematical Union Dedicated to Academician Victort Kupradze on his 110-th anniversary and Georgian Mathematical Union on his 90-th year from founding, Batumi, Georgia, 09-15 September, 2013.

Publications

  • Jemal Rogava, Zurab Vashakidze, On convergence of a three-layer semi-discrete scheme for the non-linear dynamic string equation of Kirchhoff-type with time-dependent coefficients, Z Angew Math Mech. (ZAMM) e202300608, John Wiley & Sons, Inc., 2024.
  • Jemal Rogava, Zurab Vashakidze, On Convergence of a Three-Layer Semi-Discrete Scheme for the Nonlinear Dynamic String Equation of Kirchhoff-Type with Time-Dependent Coefficients, arXiv preprint arXiv:2303.10350, arXiv, 2023.
  • Archil Papukashvili, Giorgi Geladze, Zurab Vashakidze, Meri Sharikadze, Numerical Solution for J. Ball's Beam Equation with Velocity-Dependent Effective Viscosity, Reports of Enlarged Session of the Seminar of I. Vekua Institute of Applied Mathematics, 37,35-38, Tbilisi University Press, 2023.
  • Jemal Rogava, Mikheil Tsiklauri, Zurab Vashakidze, On Stability and Convergence of a Three-layer Semi-discrete Scheme for an Abstract Analogue of the Ball Integro-differential Equation, arXiv:2201.12345, arXiv, 2022.
  • Archil Papukashvili, Zurab Vashakidze, Meri Sharikadze, A Numerical Solution of Anti-Plane Problems of the Elasticity Theory for Composite Isotropic Plane Slackened by a Linear Crack, Bulletin of the Georgian National Academy of Sciences, vol. 16, N 2, 14-22, Georgian Academy Press, 2022.
  • Jemal Rogava, Mikheil Tsiklauri, Zurab Vashakidze, On stability and convergence of a three-layer semi-discrete scheme for an abstract analogue of the Ball integro-differential equation, Journal of Mathematical Analysis and Applications, Volume 518, Issue 1, Elsevier, 2022.
  • Archil Papukashvili, Giorgi Geladze, Zurab Vashakidze, Meri Sharikadze, On the algorithm of an approximate solution and numerical computations for J. Ball nonlinear integro-differential equation, Reports of Enlarged Session of the Seminar of I. Vekua Institute of Applied Mathematics, V. 36, pp. 75-78, Tbilisi University Press, 2022.
  • Archil Papukashvili, Zurab Vashakidze, Meri Sharikadze, An Approximate Solution of the Anti-Plane Problems of the Elasticity Theory for Isotropic Composite Plane Weakened by Crack Using a Method of Discrete Singularity, Reports of Enlarged Session of the Seminar of I. Vekua Institute of Applied Mathematics, 35, 75-78, Tbilisi University Press, 2021.
  • Archil Papukashvili, Zurab Vashakidze, Meri Sharikadze, On one method of approximate solution of Kirchhoff type static beam nonlinear integrodifferential equation, Reports of Enlarged Session of the Seminar of I. Vekua Institute of Applied Mathematics, 31, 111-114, Tbilisi University Press, 2017.
  • Tamaz Vashakmadze, Zurab Vashakidze, To Scientific Computing for Certain Classes of Mathematical Problems for Some Differential Equations , conference.ens-2017.tsu.ge, Tbilisi University Press, 2017.
  • Archil Papukashvili, Beqa Tezelishvili, Zurab Vashakidze, The numerical solution of a two-point boundary value problem with a non-constant coefficient by means of operator interpolation method, Reports of Enlarged Session of the Seminar of I. Vekua Institute of Applied Mathematics. Volume 30, 2016. p. 82-85., Tbilisi University Press , 2016.
  • Archil Papukashvili, Teimurazi Davitashvili, Zurab Vashakidze, Approximate Solution of Anti-plane Problem of Elasticity Theory for Composite Bodies Weakened by Cracks by Integral Equation Method, Georgian National Academy of Sciences, 9, N 3, pp. 50-57, Georgian National Academy of Sciences, 2015.
  • Teimurazi Davitashvili, Archil Papukashvili, Zurab Vashakidze, On Crack Behavior in the Composite Piece-wise Homogeneous Body, Proceedings of the 4th International Conference on Applied and Computational Mathematics (ICACM '15), Seoul, Korea, 212-217, Published by WSEAS Press, 2015.
  • Archil Papukashvili, Zurab Vashakidze, On the numerical solution of contact problem for Poissons and Kirchhoff equation system , Journal of I.N.Vekua Institute of Applied Mathematics AMIM (Applied Mathematics , Informatics and Mechanics ), Tbilisi 2015, v.20, N 1, 2015, p. 47-54. , Tbilisi University Press , 2015.
  • Archil Papukashvili, Jemal Rogava, Zurab Vashakidze, On one numerical method of research of the stress-deformed condition of some multystructures with difficult geometry , TICSSAM-2015, March 21-23, 2015,Tbilisi. Conference’s Proceedings, p.140-146, Sokhumi University Press, 2015.
  • Archil Papukashvili, Yusuf Gulver , Zurab Vashakidze, To numerical realizations and stability of calculating process of some problems of theory of elasticity for cross-shaped regions, Reports of Enlarged Session of the Seminar of I. Vekua Institute of Applied Mathematics. Volume 28, 2014. p. 94-97. , Tbilisi University Press , 2014.