Edit Profile (opens in new tab) Berikelashvili, Givi Co-Author Distance Author ID: berikelashvili.givi Published as: Berikelashvili, G. K.; Berikelashvili, G.; Berikelashvili, Givi; Berikelasvili, G. K. more...less Homepage: https://rmi.tsu.ge/~bergi/ Documents Indexed: 59 Publications since 1973 Co-Authors: 19 Co-Authors with 28 Joint Publications 149 Co-Co-Authors all top 5 Co-Authors 28 single-authored 6 Mirianashvili, Manana 4 Dzhokhadze, Otar Mikhajlovich 4 Khomeriki, Nodar 4 Midodashvili, Bidzina 2 Chkhartishvili, M. D. 2 Gupta, Murli M. 2 Midodashvili, B. G. 1 Chikadze, G. 1 Gordeziani, David George 1 Karalashvili, L. Sh. 1 Karkarashvili, G. S. 1 Kharibegashvili, S. S. 1 Koplatadze, R. G. 1 Mirianashvili, M. G. 1 Papukashvili, Archil 1 Pavlenishvili, G. D. 1 Peradze, Jemal 1 Prikazchikov, Viktor G. 1 Sulkhanishvili, G. I. all top 5 Serials 11 Proceedings of A. Razmadze Mathematical Institute 10 Soobshcheniya Akademii Nauk Gruzinskoĭ SSR 7 Memoirs on Differential Equations and Mathematical Physics 5 Differential Equations 3 Georgian Mathematical Journal 2 Lithuanian Mathematical Journal 2 Computational Methods in Applied Mathematics 1 Ukrainian Mathematical Journal 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Mathematics of Computation 1 Differentsial’nye Uravneniya 1 Differential Equations 1 Publications de l’Institut Mathématique. Nouvelle Série 1 SIAM Journal on Numerical Analysis 1 Numerical Methods for Partial Differential Equations 1 Computational Mathematics and Mathematical Physics 1 U.S.S.R. Computational Mathematics and Mathematical Physics 1 Soobshcheniya Akademii Nauk Gruzii 1 Bulletin of the Georgian Academy of Sciences 1 Journal of Inequalities and Applications 1 Reports of Enlarged Sessions of the Seminar of I. Vekua Institute of Applied Mathematics 1 Nonlinear Analysis. Modelling and Control 1 Applied Mathematics, Informatics and Mechanics 1 Boundary Value Problems 1 Transactions of A. Razmadze Mathematical Institute all top 5 Fields 51 Numerical analysis (65-XX) 46 Partial differential equations (35-XX) 7 Mechanics of deformable solids (74-XX) 2 Integral equations (45-XX) 2 Fluid mechanics (76-XX) 1 History and biography (01-XX) 1 Potential theory (31-XX) 1 Ordinary differential equations (34-XX) 1 Functional analysis (46-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 26 Publications have been cited 156 times in 108 Documents Cited by ▼ Year ▼ Convergence of fourth order compact difference schemes for three-dimensional convection-diffusion equations. Zbl 1140.65074 Berikelashvili, Givi; Gupta, Murli M.; Mirianashvili, Manana 33 2007 On a nonlocal boundary value problem for two dimensional elliptic equation. Zbl 1046.65084 Berikelashvili, Givi 15 2003 On a numerical solution of one nonlocal boundary-value problem with mixed Dirichlet-Neumann conditions. Zbl 1327.65200 Berikelashvili, Givi; Khomeriki, Nodar 10 2013 To a nonlocal generalization of the Dirichlet problem. Zbl 1108.35040 Berikelashvili, Givi 9 2006 A one-parameter family of difference schemes for the regularized long-wave equation. Zbl 1237.65093 Berikelashvili, Givi; Mirianashvili, Manana 9 2011 On the convergence rate of a difference solution of the Poisson equation with fully nonlocal constraints. Zbl 1317.65216 Berikelashvili, Givi; Khomeriki, Nodar 8 2014 Finite difference solution of a nonlinear Klein-Gordon equation with an external source. Zbl 1215.65138 Berikelashvili, G.; Jokhadze, O.; Kharibegashvili, S.; Midodashvili, B. 8 2011 On the convergence rate of the finite-difference solution of a nonlocal boundary value problem for a second-order elliptic equation. Zbl 1064.65126 Berikelashvili, G. K. 7 2003 On the existence and absence of global solutions of the first Darboux problem for nonlinear wave equations. Zbl 1156.35431 Berikelashvili, G. K.; Dzhokhadze, O. M.; Midodashvili, B. G.; Kharibegashvili, S. S. 7 2008 Construction and analysis of difference schemes for some elliptic problems, and consistent estimates of the rate of convergence. Zbl 1128.65090 Berikelashvili, G. 7 2006 On the convergence of difference schemes for generalized Benjamin-Bona-Mahony equation. Zbl 1355.65110 Berikelashvili, Givi; Mirianashvili, Manana 6 2014 On the convergence of difference schemes for one nonlocal boundary-value problem. Zbl 1263.35069 Berikelashvili, Givi; Khomeriki, Nodar 6 2012 On the solvability of a nonlocal boundary value problem in the weighted Sobolev spaces. Zbl 0963.35045 Berikelashvili, G. 5 1999 Finite difference schemes for some mixed boundary value problems. Zbl 1017.65081 Berikelashvili, G. 4 2001 The difference schemes of high order accuracy for elliptic equations with lower derivatives. Zbl 0977.65089 Berikelashvili, G. 4 1998 Compatible convergence estimates in the method of refinement by higher-order differences. Zbl 1320.65155 Berikelashvili, G. K.; Midodashvili, B. G. 3 2015 On a nonlocal generalization of the biharmonic Dirichlet problem. Zbl 1195.35133 Berikelashvili, G. K.; Gordeziani, D. G. 3 2010 On the convergence in \(W^ 2_ 2\) of a difference solution of the Dirichlet problem. Zbl 0694.65046 Berikelashvili, G. K. 2 1990 On the convergence of difference schemes for the generalized BBM-Burgers equation. Zbl 1456.65058 Berikelashvili, Givi; Mirianashvili, Manana 2 2019 Iterative solution of a nonlinear static beam equation. Zbl 1455.74055 Berikelashvili, G.; Papukashvili, A.; Peradze, J. 2 2021 On an approach to the analysis of asymptotic properties of solutions of first-order ordinary delay differential equations. Zbl 1159.34046 Berikelashvili, G. K.; Dzhokhadze, O. M.; Koplatadze, R. G. 2 2008 A high-order accuracy difference scheme of Dirichlet problem for the Laplace equation with discountinuous boundary conditions. Zbl 0396.35034 Berikelasvili, G. K. 1 1978 On the improvement of convergence rate of difference scheme for one mixed boundary value problem. Zbl 1327.65201 Berikelashvili, Givi; Midodashvili, Bidzina 1 2015 On the fourth-order accurate difference scheme for Poisson’s equation with nonlocal boundary condition. Zbl 1273.65159 Berikelashvili, G. 1 2012 Method of corrections by higher order differences for elliptic equations with variable coefficients. Zbl 1339.65102 Berikelashvili, Givi; Midodashvili, Bidzina 1 2016 On the convergence of finite-difference scheme for a nonlocal elliptic boundary value problem. Zbl 1032.65118 Berikelashvili, Givi 1 2001 Iterative solution of a nonlinear static beam equation. Zbl 1455.74055 Berikelashvili, G.; Papukashvili, A.; Peradze, J. 2 2021 On the convergence of difference schemes for the generalized BBM-Burgers equation. Zbl 1456.65058 Berikelashvili, Givi; Mirianashvili, Manana 2 2019 Method of corrections by higher order differences for elliptic equations with variable coefficients. Zbl 1339.65102 Berikelashvili, Givi; Midodashvili, Bidzina 1 2016 Compatible convergence estimates in the method of refinement by higher-order differences. Zbl 1320.65155 Berikelashvili, G. K.; Midodashvili, B. G. 3 2015 On the improvement of convergence rate of difference scheme for one mixed boundary value problem. Zbl 1327.65201 Berikelashvili, Givi; Midodashvili, Bidzina 1 2015 On the convergence rate of a difference solution of the Poisson equation with fully nonlocal constraints. Zbl 1317.65216 Berikelashvili, Givi; Khomeriki, Nodar 8 2014 On the convergence of difference schemes for generalized Benjamin-Bona-Mahony equation. Zbl 1355.65110 Berikelashvili, Givi; Mirianashvili, Manana 6 2014 On a numerical solution of one nonlocal boundary-value problem with mixed Dirichlet-Neumann conditions. Zbl 1327.65200 Berikelashvili, Givi; Khomeriki, Nodar 10 2013 On the convergence of difference schemes for one nonlocal boundary-value problem. Zbl 1263.35069 Berikelashvili, Givi; Khomeriki, Nodar 6 2012 On the fourth-order accurate difference scheme for Poisson’s equation with nonlocal boundary condition. Zbl 1273.65159 Berikelashvili, G. 1 2012 A one-parameter family of difference schemes for the regularized long-wave equation. Zbl 1237.65093 Berikelashvili, Givi; Mirianashvili, Manana 9 2011 Finite difference solution of a nonlinear Klein-Gordon equation with an external source. Zbl 1215.65138 Berikelashvili, G.; Jokhadze, O.; Kharibegashvili, S.; Midodashvili, B. 8 2011 On a nonlocal generalization of the biharmonic Dirichlet problem. Zbl 1195.35133 Berikelashvili, G. K.; Gordeziani, D. G. 3 2010 On the existence and absence of global solutions of the first Darboux problem for nonlinear wave equations. Zbl 1156.35431 Berikelashvili, G. K.; Dzhokhadze, O. M.; Midodashvili, B. G.; Kharibegashvili, S. S. 7 2008 On an approach to the analysis of asymptotic properties of solutions of first-order ordinary delay differential equations. Zbl 1159.34046 Berikelashvili, G. K.; Dzhokhadze, O. M.; Koplatadze, R. G. 2 2008 Convergence of fourth order compact difference schemes for three-dimensional convection-diffusion equations. Zbl 1140.65074 Berikelashvili, Givi; Gupta, Murli M.; Mirianashvili, Manana 33 2007 To a nonlocal generalization of the Dirichlet problem. Zbl 1108.35040 Berikelashvili, Givi 9 2006 Construction and analysis of difference schemes for some elliptic problems, and consistent estimates of the rate of convergence. Zbl 1128.65090 Berikelashvili, G. 7 2006 On a nonlocal boundary value problem for two dimensional elliptic equation. Zbl 1046.65084 Berikelashvili, Givi 15 2003 On the convergence rate of the finite-difference solution of a nonlocal boundary value problem for a second-order elliptic equation. Zbl 1064.65126 Berikelashvili, G. K. 7 2003 Finite difference schemes for some mixed boundary value problems. Zbl 1017.65081 Berikelashvili, G. 4 2001 On the convergence of finite-difference scheme for a nonlocal elliptic boundary value problem. Zbl 1032.65118 Berikelashvili, Givi 1 2001 On the solvability of a nonlocal boundary value problem in the weighted Sobolev spaces. Zbl 0963.35045 Berikelashvili, G. 5 1999 The difference schemes of high order accuracy for elliptic equations with lower derivatives. Zbl 0977.65089 Berikelashvili, G. 4 1998 On the convergence in \(W^ 2_ 2\) of a difference solution of the Dirichlet problem. Zbl 0694.65046 Berikelashvili, G. K. 2 1990 A high-order accuracy difference scheme of Dirichlet problem for the Laplace equation with discountinuous boundary conditions. Zbl 0396.35034 Berikelasvili, G. K. 1 1978 all cited Publications top 5 cited Publications all top 5 Cited by 156 Authors 11 Berikelashvili, Givi 10 Wang, Tingchun 9 Ashyralyev, Allaberen 8 Sapagovas, Mifodijus 5 Dzhokhadze, Otar Mikhajlovich 5 Omrani, Khaled 4 Čiupaila, Regimantas 4 Ozturk, Elif 4 Rouatbi, Asma 4 Štikonienė, Olga 3 Dosiyev, Adigüzel A. 3 Kharibegashvili, S. S. 3 Khomeriki, Nodar 3 Midodashvili, Bidzina 3 Mirianashvili, Manana 3 Pan, Kejia 3 Wang, Yuanming 2 Ashyralyyev, Charyyar 2 Ehrhardt, Matthias 2 Fu, Hongfei 2 Günther, Michael 2 Guo, Ben-Yu 2 Hendricks, Christian 2 Heuer, Christof 2 Khalil, Hammad 2 Kharibegashvili, Sergo 2 Korzyuk, Viktor Ivanovich 2 Li, Zhilin 2 Liao, HongLin 2 Lubyshev, Fedor Vladimirovich 2 Pupalaigė, Kristina 2 Rudzko, Jan V. 2 Sajavičius, Svajūnas 2 Sun, Zhizhong 2 Tetikoglu, Fatma Songul Ozesenli 2 Volkov, Evgeniĭ Alekseevich 2 Yu, Haiyuan 2 Zhou, Liping 1 Abashidze, Marina 1 Achouri, Talha 1 Aghazadeh, Nasser 1 Ahmad, Masood 1 Atouani, Noureddine 1 Avalishvili, Gia 1 Avalishvili, Mariam 1 Aziz, Imran 1 Băleanu, Dumitru I. 1 Bastani, Mehdi 1 Bayarassou, Khedidja 1 Bencheikh, Abdelkrim 1 Bentrcia, Toufik 1 Bialecki, Bernard 1 Bibilashvili, Teona 1 Borhanifar, Abdollah 1 Chen, Fangqi 1 Chen, Juan 1 Cheng, Hong 1 Chiter, Lakhdar 1 Criado-Aldeanueva, Francisco 1 Criado, Francisco 1 Darabadi, Mojtaba 1 Dedeturk, Mutlu 1 Deng, Yaqing 1 Devadze, David 1 Dosi, Anar Adygezal 1 Dosiev, A. A. 1 Dragunov, Denys V. 1 Düring, Bertram 1 Eskar, Rena 1 Faĭruzov, Makhmut Èrnstovich 1 Feng, Chunsheng 1 Feng, Xinlong 1 Gayoso Martínez, Víctor 1 Ge, Yongbin 1 Gercek, Okan 1 Ghaffari, Abuzar 1 Gordeziani, David George 1 Griškonienė, Viktorija 1 Guo, Boling 1 Hashim, Ishak 1 He, Dongdong 1 He, Yuyu 1 Hernández Encinas, Ascensión 1 Hu, Hanqing 1 Hu, Hanzhang 1 Hu, Hongling 1 Hu, Shuanggui 1 Huang, Pengzhan 1 Jachimavičienė, Justina 1 Jahanshahi, Mohammad H. 1 Jakubėlienė, Kristina 1 Jiang, Jiaping 1 Jiang, Yong 1 Kachakhidze, Nikoloz 1 Kadri, Tlili 1 Karageorghis, Andreas 1 Kazem, Saeed 1 Khachidze, N. 1 Khan, Rahmat Ali 1 Khan, Waqar Ahmad ...and 56 more Authors all top 5 Cited in 52 Serials 7 Differential Equations 5 Computers & Mathematics with Applications 5 Applied Mathematics and Computation 4 Journal of Mathematical Analysis and Applications 4 Lithuanian Mathematical Journal 4 Numerical Methods for Partial Differential Equations 4 Journal of Scientific Computing 4 Boundary Value Problems 3 Applied Numerical Mathematics 3 International Journal of Computer Mathematics 3 Journal of Mathematical Sciences (New York) 3 Georgian Mathematical Journal 3 Abstract and Applied Analysis 3 Nonlinear Analysis. Modelling and Control 3 Mediterranean Journal of Mathematics 2 Applicable Analysis 2 Mathematical Methods in the Applied Sciences 2 Journal of Computational and Applied Mathematics 2 SIAM Journal on Numerical Analysis 2 Numerical Algorithms 2 Computational and Applied Mathematics 2 Memoirs on Differential Equations and Mathematical Physics 2 Communications in Nonlinear Science and Numerical Simulation 2 Mathematical Modelling and Analysis 2 Advances in Difference Equations 2 Complex Variables and Elliptic Equations 2 Transactions of A. Razmadze Mathematical Institute 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of Computational Physics 1 Ukrainian Mathematical Journal 1 Mathematics of Computation 1 Chaos, Solitons and Fractals 1 Calcolo 1 Siberian Mathematical Journal 1 Optimal Control Applications & Methods 1 Computational Mathematics and Mathematical Physics 1 SIAM Journal on Scientific Computing 1 Electronic Journal of Differential Equations (EJDE) 1 Advances in Computational Mathematics 1 Complexity 1 Engineering Analysis with Boundary Elements 1 Mathematical Problems in Engineering 1 Vietnam Journal of Mathematics 1 Journal of Inequalities and Applications 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Lobachevskii Journal of Mathematics 1 International Journal of Computational Methods 1 Bulletin of the Georgian National Academy of Sciences. New Series 1 Journal of Nonlinear Science and Applications 1 Advances in Numerical Analysis 1 Advances in Applied Mathematics and Mechanics 1 Communications in Mathematics all top 5 Cited in 17 Fields 85 Partial differential equations (35-XX) 82 Numerical analysis (65-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Ordinary differential equations (34-XX) 3 Mechanics of deformable solids (74-XX) 3 Fluid mechanics (76-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Difference and functional equations (39-XX) 2 Quantum theory (81-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Functional analysis (46-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year