Kote Kupatadze

Academic Doctor of Science

Muskhelishvili Institute of Computational Mathematics

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Master Theses Supervisor

Doctoral Thesis Supervisor/Co-supervisor

Scientific editor of monographs in foreign languages

Scientific editor of a monograph in Georgian

Editor-in-Chief of a peer-reviewed or professional journal / proceedings

Review of a scientific professional journal / proceedings

Member of the editorial board of a peer-reviewed scientific or professional journal / proceedings

Participation in a project / grant funded by an international organization

Participation in a project / grant funded from the state budget

Patent authorship

Membership of the Georgian National Academy of Science or Georgian Academy of Agricultural Sciences

Membership of an international professional organization

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National Award / Sectoral Award, Order, Medal, etc.

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Monograph

Handbook

Research articles in high impact factor and local Scientific Journals


A scheme for the numerical solution of the modified Dirichlet problem in finite multiply connected domains and some applications, 2006, Pleiades Pub; Differential Equations, v. 42, No. 9, pp.: 1272-1281(Rus)/1343–1351(Eng)State Target Program

Based on the method of approximation of singular integrals, a computational scheme is proposed for the approximate solution of the modified Dirichlet problem in the case of finite doubly connected domains. A substantiation of the scheme is given and an application to numerical conformal mappings is indicated.

https://www.mathnet.ru/php/archive.phtml?wshow=paper&jrnid=de&paperid=11565&option_lang=eng; https://doi.org/10.1134/S0012266106090138; https://institutes.gtu.ge/uploads/20/de11565.pdf
On one class of complicated quadrature formulas of discrete singularities type for singular integrals with Cauchy kernel, 2011, KNU, Bull. Kharkov National University, No. 960, 16, pp. 169-176State Target Program

Certain quadrature schemes of discrete singularities type with higher algebraic rate of accuracy comparing with similar schemes known earlier are offered. Approximation rate estimates are given for concrete classes of densities of the considered singular integrals.

http://mia.univer.kharkov.ua/960_en.php; https://institutes.gtu.ge/uploads/20/30231.pdf
On One Class of High Accuracy Quadrature Formulas for Singular Integrals with Cauchy Kernel, 2013, KNU, Bull. Kharkov National University, No. 1063, 16, pp. 90-98State Target Program

A question on construction of quadrature formulas for singular integrals with weight functions using the knots of orthogonal polynomials of two consecutive powers is investigated. A case of Chebyshev weight function is considered in detail. The constructed formulas contain the Gauss accuracy quadrature formulas as concrete cases.

http://mia.univer.kharkov.ua/1063_en.php; https://institutes.gtu.ge/uploads/20/30326.pdf
On some quadrature formulas for Cauchy type singular integrals with Jacobi weights, 2016, Publishing House of VIAM, Applied Mathematics, Informatics and Mechanics (AMIM), Vol. 21, No. 1, pp. 133-144State Target Program

The estimation of quadrature formula residual term for Cauchy type singular integrals is given for arbitrary values of Jacobi weight function.

https://www.viam.science.tsu.ge/Ami/Issues.htm; https://institutes.gtu.ge/uploads/20/J. Sanikidze, M.Mirianashvili, K. Kupatadze_AMIM_2016_1.pdf

Publication in Scientific Conference Proceedings Indexed in Web of Science and Scopus