მოკლე ინფორმაცია

განათლება
1963 - 1968, ივანე ჯავახიშვილის სახელობის თბილისის სახელმწიფო უნივერსიტეტი, მაგისტრი/მაგისტრთან გათანაბრებული
1982, საქართველოს მეცნიერებათა აკადემიის ნ. მუსხელიშვილის სახელობის გამოთვლითი მათემატიკის ინსტიტუტი, დოქტორთან გათანაბრებული
1995, ივანე ჯავახიშვილის სახელობის თბილისის სახელმწიფო უნივერსიტეტი, დოქტორი

სამუშაო გამოცდილება

15.01.1968 - 28.12.1990 -- ივ. ჯავახიშვილისსახელობის თბილისისსახელმწიფო უნივერსიტეტის ილია ვეკუას სახელობის გამოყენებითი მათემატიკის ინსტიტუტი (მეცნიერ თანამშრომელი, უმცროსი მეცნიერ თანამშრომელი, ჯგუფის ხელმძღვანელი)

16.01.1984 - 28.12.1990 -- ივანე ჯავახიშვილის სახელობის თბილისის სახელმწიფო უნივერსიტეტი (მასწავლებელი)

15.01.1990 - 29.12.2000 -- საქართველოს ტექნიკური უნივერსიტეტი (ლაბორატორიის გამგე)

15.01.1990 - 29.12.2000 -- ივანე ჯავახიშვილის სახელობის თბილისის სახელმწიფო უნივერსიტეტის ილია ვეკუას სახელობის გამოყენებითი მათემატიკის ინსტიტუტი (უფროსი მეცნიერ თანამშრომელი, წამყვანი მეცნიერ თანამშრომელი)

20.01.1997 - 29.12.2006 -- ივანე ჯავახიშვილის სახელობის თბილისის სახელმწიფო უნივერსიტეტი (პროფესორი)

17.01.2000 - 29.12.2006 -- ივანე ჯავახიშვილის სახელობის თბილისის სახელმწიფო უნივერსიტეტის ილია ვეკუას სახელობის გამოყენებითი მათემატიკის ინსტიტუტი (წამყვანი მეცნიერ თანამშრომელი)

2006 წლიდან დღემდე -- ივანე ჯავახიშვილის სახელობის თბილისის სახელმწიფო უნივერსიტეტის ილია ვეკუას სახელობის გამოყენებითი მათემატიკის ინსტიტუტი (უფროსი, მთავარი მეცნიერ თანამშრომელი)

2006 წლიდან დღემდე -- ივანე ჯავახიშვილის სახელობის თბილისის სახელმწიფო უნივერსიტეტი (ასოცირებული პროფესორი)

პროექტები

• მულტიმასშტაბური სოლიტონებისადა გრიგალური სტრუტურების არაწრფივი დინამიკა რთულ უწყვეტ გარეოებში (FR17_252), 2017-2021.
• Modeling and calculating in practice widely-distributed structures with complicated geometry (30/28), 2013-2015.
• Development of analytical and numerical methods for calculating of cusped prismatic shells and beams (D-13/18), 2012-2014.
• დეფორმად მყარ და თხევად ნაწილებისაგან შემდგარი გარემოს იერარქიული მათემატიკური მოდელების აგება და გამოკვლევა (GNSF/ST06/3-035), 2006-2008.
• დედამიწის იონოსფეროში პლანეტარული ტალღებისა და არაწრფივი განმხოლოებული გრიგალური სტრუქტურების გავრცელების ფიზიკური და მათემატიკური მოდელირება (1.01.87), 2005-2005.
• პლანეტარული ტალღები და არაწრფივი განმხოლოებული გრიგალური სტრუქტურები დედამიწის იონოსფეროში (3317), 2003-2005.

მოხსენებები

• 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, 2023, Tbilisi, Georgia.
• 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, 2023, Batumi, Georgia.
• 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), 2023, Tbilisi, Georgia.
• Decomposition type formulas for approximation of a cosine operator function, by Jemal Rogava (Speaker) at XXXVI International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics, 2022, Tbilisi, Georgia.
• Splitting of the four-layer semi-discrete schemes of solution the evolutionary equation with variable operator on two-level schemes, by David Gulua (Speaker), Jemal Rogava at XXXV International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics, 2021, Tbilisi, Georgia.
• On the convergence of the symmetrical, semi-discrete scheme for the nonlinear Charney-Obukhov differential equation, by Jemal Rogava (Speaker), Mikheil Tsiklauri at XXXV International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics of Ivane Javakhisvili Tbilisi State University, 2021, Tbilisi, Georgia.
• On the convergence of an iterative method for one non-linear operator equation, by Jemal Rogava (Speaker), Mikheil Tsiklauri at XXXIV International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics, 2020, Tbilisi, Georgia.
• On stability and convergence of threelayer semi-discrete scheme for nonlinear second order evolution equation, by Jemal Rogava (Speaker) at The Fourth International Conference on Applications of Mathematics and Informatics in Natural Sciences and Engineering. AMINSE 2019, 2019, Tbilisi, Georgia.
• On the stability of bijection in the Banach space in case of non-linear perturbation, by Jemal Rogava (Speaker) at XXXIII International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics, 2019, Tbilisi, Georgia.
• Decomposition Formulas for Cosine Operator Function with Two and Multi-addend Argument, by Jemal Rogava (Speaker), Nana Dikhaminjia, Mikheil Tsiklauri at The Third International Conference "MODERN PROBLEMS IN APPLIED MATHEMATICS" Dedicated to the Centenary of I.Javakhishvili Tbilisi State University (TSU) & 50th Anniversary of I.Vekua Institute of Appl, 2018, Tbilisi, Georgia.
• Nonlinear dynamics of the solitary vortices and the wave structures in the complex media, by Khatuna Elbakidze (Speaker), Jemal Rogava, Oleg Kharshiladze at 4th International Conference on Physics, 2018, Berlin, Germany.
• Parallel Type of Decomposition Scheme for Quasilinear Abstract Hyperbolic Equation, by Nana Dikhaminjia (Speaker), Jemal Rogava, Mikheil Tsiklauri at 3rd International Conference on Applications of Mathematics and Informatics in Natural Sciences and Engineering Dedicated to the 80th Birthday of Professor David Gordeziani, 2017, Tbilisi, Georgia.
• 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., 2017, Batumi, Georgia.
• 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, 2014, Tbilisi Georgia.
• Construction of High Order Accuracy Decomposition Scheme for an Abstract Hyperbolic Equation with the Lipschitz Continuous Operator on the Basis of Rational Splitting of the Cosine-Operator Function, by Jemal Rogava (Speaker), Mikheil Tsiklauri at 9th International Conferenceof Numerical Analysis and Applied Mathematics, 2011, Halkidiki, Greece.
• Construction and Numerical Realization of Decomposition Schemefor Multidimensional Quasi-Linear Evolution Equation, by Jemal Rogava (Speaker), Nana Dikhaminjia, Mikheil Tsiklauri at 9th International Conferenceof Numerical Analysis and Applied Mathematics, 2011, Halkidiki, Greece.
• Numerical Investigation of Spilled Oil Spreading Into Soil for Underground Water Pollution Risk Assessment, by Teimurazi Davitashvili (Speaker), Nana Dikhaminjia, Jemal Rogava, Mikheil Tsiklauri at II International Conference Dedicated to the 70th Anniversary of the Georgian National Academy of Sciences & the 120th Birthday of its First President Academician Nikoloz (Niko) Muskhelisxhvili, 2011, Batumi, Georgia.

პუბლიკაციები

• 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.
• Nana Dikhaminjia, Jemal Rogava, Mikheil Tsiklauri, A parallel type decomposition scheme for quasi-linear abstract hyperbolic equation, Georgian Mathematical Journal, Walter De Gruyter GmbH, 2022.
• Jemal Rogava, On the approximation of a semi-group of operators using fractional-linear operator functions and weighted means, Functional Analysis and Its Applications, Vol. 56(2), 47-63, Springer, 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, arXiv:2201.12345, arXiv, 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.
• David Gulua, Jemal Rogava, Reduction of a Four-Layer Semi-Discrete Scheme for an Abstract Evolution Equation to Two-Layer Schemes and Estimation of the Approximate Solution Errors by Using Associated Polynomials, BULLETIN OF THE GEORGIAN NATIONAL ACADEMY OF SCIENCES, vol. 15(2), , 2021.
• Romeo Galdava, David Gulua, Jemal Rogava, Study of Three-Layer Semi-Discrete Schemes for Second Order Evolution Equations by Chebyshev Polynomials, In: Jaiani, G., Natroshvili, D. (eds) Applications of Mathematics and Informatics in Natural Sciences and Engineering. AMINSE 2019. Springer Proceedings in Mathematics & Statistics, vol 334, pp 153–196, Springer, Cham, 2020.
• David Gulua, Jemal Rogava, The perturbation algorithm for the realization of a four-layer semi-discrete solution scheme of an abstract evolutionary problem, Georgian Mathematical Journal, 25(1), pp. 77-92, Walter de Gruyter GmbH, 2018.
• Nana Dikhaminjia, Jemal Rogava, Mikheil Tsiklauri, Construction and numerical resolution of high-order accuracy decomposition scheme for a quasi-linear evolution equation, Georgian Mathematical Journal, vol. 25, no. 3, pp. 337-348, Walter De Gruyter GmbH, 2018.
• Jemal Rogava, David Gulua, Romeo Galdava, Reduction of Some Semi-discrete Schemes for an Evolutionary Equation to Two-Layer Schemes and Estimates for the Approximate Solution Error, In: Falcone, G. (eds) Lie Groups, Differential Equations, and Geometry. UNIPA Springer Series, pp 223–246, Springer, Cham, 2017.
• David Gulua, Jemal Rogava, On the perturbation algorithm for the semi-discrete scheme for the evolution equation and estimation of the approximate solution error using semigroups, Computational Mathematics and Mathematical Physics, volume 56, Issue 7, pp 1269–1292, , 2016.
• 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.
• Nana Dikhaminjia, Mikheil Tsiklauri, Jemal Rogava, Fast approximation of sine and cosine hyperbolic functions for the calculation of the transmission matrix of a multiconductor transmission line, IEEE Transactions on Electromagnetic Compatibility 57.6, , 2015.
• Jemal Rogava, Mikheil Tsiklauri, Convergence of a semi-discrete scheme for an abstract nonlinear second order evolution equation, Applied Numerical Mathematics Volume75, Pages 22-36, , 2014.
• David Gulua, Jemal Rogava, Perturbation algorithm for implementing a finite difference approximation to an abstract evolutionary problem and explicit error estimation of its solution, Doklady Mathematics, Volume 89, Issue 3, pp 335–337, , 2014.
• Nana Dikhaminjia, Jemal Rogava, Mikheil Tsiklauri, Construction and Investigation of a Fourth Orderof Accuracy Decomposition Schemefor Nonhomogeneous Multidimensional Hyperbolic Equation, Numerical Functional Analysis and Optimization, Volume 35, Issue 3,p. 275-293, , 2014.
• Jemal Rogava, Mikheil Tsiklauri, On local convergence of a symmetric semi-discrete scheme for an abstract analogue of the Kirchhoff equation, Journal of Computational and Applied Mathematics Volume 236, Issue 15, Pages 3654-3664, , 2012.
• Giorgi Aburjania, Jemal Rogava, Oleg Kharshiladze, Nonlinear dynamics of drift structures in a magnetized dissipative plasma, Plasma Physics Reports, Volume 37, Issue 6, pp 477–497, , 2011.
• Jemal Rogava, Mikheil Tsiklauri, Construction of high order accuracy decomposition scheme for an abstract hyperbolic equation with the lipschitz continuous operator on the basis of rational splitting of the cosine operator function, AIP Conference Proceedings, Volume 1389, Issue 1, , 2011.
• Jemal Rogava, Mikheil Tsiklauri, High order accuracy splitting formulas for cosine operator function and their applications, Applied Mathematics, Informatics and Mechanics (AMIM), vol. 15, no. 2, pp. 45-55, , 2010.
• Jemal Rogava, Mikheil Tsiklauri, Semi-discrete scheme and uniqueness theorem for Charney-Obukhov nonlinear equation, Proceedings of I. Vekua Institute of Applied Mathematics, vol. 59-60,pp. 43-59, , 2010.
• Jemal Rogava, Mikheil Tsiklauri, Integral semi-discrete scheme for a Kirchhoff type abstract equation with the general nonlinearity, Applied Mathematics, Informatics and Mechanics (AMIM), vol. 15, no. 2, pp. 45-55, , 2009.
• Archil Papukashvili, Jemal Peradze, Jemal Rogava, An approximate algorithm for a Kirchhoff nonlinear dynamic beam equation , Reports of Enlarged Session of the Seminar of I. Vekua Institute of Applied Mathematics. v.23, Tbilisi 2009. p. 84-86. , Tbilisi University Press , 2009.
• Tamaz Kaladze, Oleg Pokhotelov, Lennart Stenflo, Jemal Rogava, Luba Tsamalashvili, Mikheil Tsiklauri, Zonal flow interaction with Rossby waves in the Earth's atmosphere: A numerical simulation, Physics Letters A, Vol: 372, Issue: 31, Page: 5177-5180, Elsevier, 2008.
• Jemal Rogava, Mikheil Tsiklauri, The fourth order of accuracy decomposition scheme for nonhomogeneous multidimensional hyperbolic equation, Numerical Analysis and Applied Mathematics: International Conference on Numerical Analysis and Applied Mathematics. AIP Conference Proceedings, Vol. 1048,pp. 454-457, , 2008.
• Jemal Rogava, Mikheil Tsiklauri, The fourth order of accuracy decomposition scheme for abstract hyperbolic equation, Georgian Mathematical Journal, Volume 15, Issue 1, Pages 165–175, , 2008.
• Tamaz Kaladze, Jemal Rogava, Luba Tsamalashvili, Mikheil Tsiklauri, Implicit difference scheme for the numerical resolution of the Charney-Obukhov equation with variable coefficients, Bulletin of TICMI, v. 11, 31-37, 2007, Tbilisi University Press, 2007.
• Tamaz Kaladze, Jemal Rogava, Luba Tsamalashvili, Mikheil Tsiklauri, First- and second-order accurate implicit difference schemes for the numerical resolution of the generalized Charney–Obukhov and Hasegawa–Mima equations, Journal of Plasma Physics ,Volume 72,Issue 6,December 2006 , pp.1045 - 1048, Cambridge University Press, 2006.
• Jemal Rogava, Mikheil Tsiklauri, High order accuracy decomposition schemes for evolution problem, Lecture Notes of TICMI, Vol. 7, p.164, , 2006.
• Jemal Rogava, Mikheil Tsiklauri, An automatically stable and order three split rational approximation of a semigroup, Georgian Mathematical Journal, Volume 13, Issue 2, Pages 343–362, , 2006.
• Jemal Rogava, Mikheil Tsiklauri, Investigation and numerical resolution of Initial boundary value problem for the generalized Charney-Obukhovand Hasageva-Mima equations, Physics Letters A,vol.343,pp.199-215, , 2005.
• Jemal Rogava, Mikheil Tsiklauri, Tamar Lomtadze, Approximate solution of Cauchy problem for abstract hyperbolic equation using unitary group approximation method, Proceedings of I. Vekua Institute of Applied Mathematics, Vol. 54-55, pp.55-64, , 2005.
• Tamaz Kaladze, Jemal Rogava, Luba Tsamalashvili, Mikheil Tsiklauri, Investigation and numerical resolution of initial-boundary value problem for the generalized Charney–Obukhov and Hasagewa–Mima equations, Physics Letters A,Vol: 343, Issue: 1, Page: 199-215, Elsevier, 2005.
• Jemal Rogava, Luba Tsamalashvili, Mikheil Tsiklauri, Tamaz Kaladze, First and second-order accurate implicit difference schemes for the Carney-Obukhov equation, Physics Letters A, Vol. 328/1, pp.51-64, Elsevier, 2004.
• Jemal Rogava, Mikheil Tsiklauri, Zurab Gegechkori, The fourth order accuracy decomposition scheme for an evolution problem, Paris, ESAIM-Mathematical Modelling and Numerical Analysis, M2AN, Vol.38, no.4, pp.707-722, , 2004.
• Tamaz Kaladze, Jemal Rogava, Luba Tsamalashvili, Mikheil Tsiklauri, First- and second-order accurate implicit difference schemes for the Charney–Obukhov equation, Physics Letters A,Vol: 328, Issue: 1,Page: 51-64, Elsevier, 2004.
• Tamaz Kaladze, Jemal Rogava, Luba Tsamalashvili, Mikheil Tsiklauri, On numerical resolution and uniqueness of solution of initial-boundary value problem for the generalized Charney-Obukhov equation, Reports of Enlarged Session of the Seminar of I.Vekua Institute of Applied Mathematics Vol. 19, N1, Tbilisi University Press, 2004.
• Jemal Rogava, Mikheil Tsiklauri, Zurab Gegechkori, High degree precision decomposition method for the evolution problem with an operator under a split form, Paris, M2AN, Vol.36, no.4, pp. 693-704, , 2002.