Zviad Kalichava

Academic Doctor of Science

Muskhelishvili Institute of Computational Mathematics

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Approximation with respect to the spatial variable of the solution of a nonlinear dynamic beam problemKalichava Z., Peradze J.articleSCCTW 2016, South-Caucasus Computing and Technology Workshop, 15 p. . .EnglishState Targeted Program
Galerkin approximation of the solution of a nonlinear beam equationKalichava Z., Peradze JarticleRep. Enlarg. Sess. Semin. I. Vekua Inst. Appl. Math. 31 (2017), 67-70. . .EnglishState Targeted Program
The iteration stage of a numerical algorithm for a Timoshenko type beam equationKalichava Z., Peradze J.articleAppl. Math. Inform. Mech. I. Vekua Inst. Appl. Math. 23 (2018), no. 1, 23-29. . .EnglishState Targeted Program
The exactness of an algorithm step for a dynamic beamKalichava Z.articleCollec. Scien. Artic. Yerevan State Univ., Natur. Phys.-Math. Sci. 1 (24) (2018), 95-101. ISSN 1829-4367 .EnglishState Targeted Program
The accuracy of the finite difference scheme for a nonlinear dynamic beam problemPeradze J., Kalichava Z., Tsiklauri Z.articleRep. Enlarged Sess. Semin. I. Vekua Appl. Math. 33 (2019), 55-58 . . .EnglishState Targeted Program
"A numerical algorithm for the nonlinear Timoshenko beam system"Peradze J., Kalichava Z.articleNumer. Meth. Part. Diff. Equat. 36 (2020), no. 6, 1318-1347იმპაქტ ფაქტორი 2.236 . DOI: 10.1002/num.22475EnglishState Targeted Program

SCCTW’2016 – South-Caucasus Computing and Technology Workshop 201604.10-07.10"Georgian Technical University Tbilisi, Georgia"Approximation with respect to the spatial variable of the solution of a nonlinear dynamic beam problemoral

discussed the nonliner model of beame oscillation which is introduced with initial boundary conditions with respect to integral differential equation approximate the spatal variable of the solution projection method estimated its accuracy.

https://www.cadcamge.ch/2016/index.php?do=pro
VIII Annual International Meeting of the Georgian Mechanical Union Tbilisi, Georgia201727.09-29.09Georgian Mechanical UnionOn solution of a system of nonlinear algebraic equations for a Timoshenko beam oral

An initial boundary value problem is posed for the nonlinear dynamic beam. To get an approximate solution is used the Variation method and symmetric non-discretic difference scheme. To solve the system of equations obtained as a result of discretization is used the iteration method and Sherman Morrison’s Formula. The accuracy of the iteration method is studied.

http://www.viam.science.tsu.ge/others/gnctam/GeoMech8/AbstractBook.pdf
XXXI International Enlarged Sessions of the Seminar of I. Vekua Institute of Applied Mathematics Tbilisi, Georgia201719.04-21.04 I. Vekua Institute of Applied Mathematics of the Iv. Javakhishvili Tbilisi State UniversityGalerkin approximation of the solution of a nonlinear beam equation oral

An initial boundary value problem is posed for the Timoshenko type nonlinear integro-differential nouhomogeneans equation, which describes the dynamic behavior of a beam. To approximate the solution with respect to a spatial variable the Galerkin method is used the error of which is astimated.

http://www.viam.science.tsu.ge/enlarged/2017/sa.pdf
IV International Conference for Students and Young Researches, Yerevan State University Yerevan, Armenia201702.10-06.10Students and Young Researches, Yerevan State University The exactness of an algorithm step for a dynamic beam oral

The initial boundary value problem is posed for the Timoshenko type nonlinear

integro-differential inhomogeneous equation, which describes the dynamic behaviour of a beam. A numerical algorithm is proposed for the solution of the problem. One of the parts of the algorithm is the Galerkin method, the error of which is estimated.

http://www.ysu.am/files/collection_of_scientific_articles_of_ysu_sss_1.1(24)_pages_95-101.pdf
XXXIII International Enlarged Sessions of the Seminar of I. Vekua Institute of Applied Mathematics Tbilisi, Georgia201923.04-25.04 I. Vekua Institute of Applied Mathematics of the Iv. Javakhishvili Tbilisi State UniversityOn the accuracy of a difference scheme for a nonlinear dynamic beam problem oral

The paper deals with the boundary value problem for a system of nonlinear

integro-di erential equations modeling the dynamic state of the Timoshenko beam. To approximate the solution with respect to the time variable an implicit di erence scheme is used,

the error of which is estimated.

http://www.viam.science.tsu.ge/enlarged/2019/program_eng.pdf

Web of Science: 1
Scopus: 1
Google Scholar: 4

Doctoral Thesis Referee

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

Membership of the Conference Organizing / Program Committee

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

Honorary title

Monograph

Handbook

Research articles in high impact factor and local Scientific Journals


Galerkin approximation of the solution of a nonlinear beam equation, Reports of Enlarged Sessions of Seminar of I. Vekua Institute of Applied Mathematics. 31 (2017), 67-70State Target Program

An initial boundary value problem is posed for the Timoshenko type nonlinear integro-differential inhomogeneous equation which describes the dynamic behaviour of a beam. To approximate the solution with respect to a spatial variable the Galerkin method is used the error of which is estimated. 

http://www.viam.science.tsu.ge/enl_ses/vol31/Kalichava_Peradze.pdf
The iteration stage of a numerical algorithm for a Timoshenko type beam equation, Applied mathematics, informatics and mechanics. 23 (2018), no. 1, 23-29State Target Program

An initial boundary value problem for a differential equation describing the beam oscillation is considered. As a result of application of a projection method and a difference scheme, a nonlinear system of equations is obtained, which is solved by the Newton iteration. The convergence conditions and the iteration error estimate are studied. 

http://www.viam.science.tsu.ge/Ami/2018_1/Kalichava,%20Peradze_AMIM_2018_1.pdf
The exactness of an algorithm step for a dynamic beam, Collec. Scien. Artic. Yerevan State Univ., Natur. Phys.-Math. Sci. 1 (24) (2018), 95-101State Target Program

The initial boundary value problem is posed for the Timoshenko type nonlinear integro-differential inhomogeneous equation, which describes the dynamic behaviour of a beam. A numerical algorithm is proposed for the solution of the problem. One of the parts of the algorithm is the Galerkin method, the error of which is estimated.  

http://ysu.am/files/collection_of_scientific_articles_of_ysu_sss_1.1(24)_pages_95-101.pdf
The accuracy of the finite difference scheme for a nonlinear dynamic beam problem, Reports of Enlarged Sessions of Seminar of I. Vekua Institute of Applied Mathematics. 33 (2019), 55-58 State Target Program

The paper deals with the boundary value problem for a system of nonlinear integrodifferential equations modeling the dynamic state of the Timoshenko beam. To approximate the solution with respect to the time variable an implicit difference scheme is used, the error of which is estimated. 

http://www.viam.science.tsu.ge/enl_ses/vol33/Peradze_Jemal.pdf
A numerical algorithm for the nonlinear Timoshenko beam system, Numerical Methods for Partial Differential Equations, 36 (2020), no. 6, 1318-1347 State Target Program

An initial boundary value problem is considered for the dynamic beam system. Its solution is found by means of an algorithm, the constituent parts of which are the finite element method, the implicit symmetric difference scheme used to approximate the solution with respect to the spatial and time variables, and also a Picard type iteration process for solving the system of nonlinear equations obtained by discretization. Errors of three parts of the algorithm are estimated and, as a result, its total error estimate is obtained. A numerical example is solved.

https://onlinelibrary.wiley.com/doi/abs/10.1002/num.22475

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