Galdava, R. G.; Gulua, D. V.; Rogava, J. L. Splitting of the semi-discrete schemes of solutions of the evolutionary equation with variable operator on two-level schemes and estimation of the approximate solution error. (English) Zbl 1398.65225 Appl. Math. Inform. Mech. 21, No. 1, 89-103 (2016). MSC: 65M12 65M15 65M55 PDFBibTeX XMLCite \textit{R. G. Galdava} et al., Appl. Math. Inform. Mech. 21, No. 1, 89--103 (2016; Zbl 1398.65225)
Rogava, J.; Shashiashvili, K.; Shashiashvili, M. Computational convex analysis and its applications to numerical solution of some nonlinear partial differential equations. (English) Zbl 1336.65180 Appl. Math. Inform. Mech. 19, No. 2, 62-82 (2014). MSC: 65N06 35F21 35J96 35L65 35Q53 65M06 65N15 65M15 PDFBibTeX XMLCite \textit{J. Rogava} et al., Appl. Math. Inform. Mech. 19, No. 2, 62--82 (2014; Zbl 1336.65180)
Galdava, R.; Gulua, D.; Rogava, J. Error estimate of a solution of the Crank-Nicolson semidiscrete scheme for a quasilinear evolutionary equation in a Banach space. (English) Zbl 1332.65135 Appl. Math. Inform. Mech. 19, No. 1, 17-29 (2014). Reviewer: Vit Dolejsi (Praha) MSC: 65M15 65M12 65M25 65M20 35K90 35K59 PDFBibTeX XMLCite \textit{R. Galdava} et al., Appl. Math. Inform. Mech. 19, No. 1, 17--29 (2014; Zbl 1332.65135)
Rogava, J.; Tsiklauri, M. High order accuracy splitting formulas for cosine operator function and their applications. (English) Zbl 1475.65031 Appl. Math. Inform. Mech. 15, No. 2, 44-55 (2010). MSC: 65J08 PDFBibTeX XMLCite \textit{J. Rogava} and \textit{M. Tsiklauri}, Appl. Math. Inform. Mech. 15, No. 2, 44--55 (2010; Zbl 1475.65031) Full Text: Link
Rogava, J.; Tsiklauri, M. Integral semi-discrete scheme for a Kirchhoff type abstract equation with the general nonlinearity. (English) Zbl 1475.65030 Appl. Math. Inform. Mech. 14, No. 2, 18-34 (2009). MSC: 65J08 PDFBibTeX XMLCite \textit{J. Rogava} and \textit{M. Tsiklauri}, Appl. Math. Inform. Mech. 14, No. 2, 18--34 (2009; Zbl 1475.65030) Full Text: Link
Rogava, J.; Tsiklauri, M. On error estimation of symmetric decomposition scheme for multidimensional evolution problem. (English) Zbl 1206.65218 Appl. Math. Inform. Mech. 13, No. 2, 111-117 (2008). MSC: 65M12 65M15 65M55 PDFBibTeX XMLCite \textit{J. Rogava} and \textit{M. Tsiklauri}, Appl. Math. Inform. Mech. 13, No. 2, 111--117 (2008; Zbl 1206.65218)
Rogava, J.; Tsiklauri, M. The fourth order of accuracy decomposition scheme for nonhomogeneous hyperbolic equation. (English) Zbl 1200.65059 Appl. Math. Inform. Mech. 13, No. 2, 92-110 (2008). MSC: 65L05 34G10 65L70 65L20 35L90 65M12 65M15 65M55 PDFBibTeX XMLCite \textit{J. Rogava} and \textit{M. Tsiklauri}, Appl. Math. Inform. Mech. 13, No. 2, 92--110 (2008; Zbl 1200.65059)
Gulua, D.; Rogava, D.; Rogava, J. On the convergence of Jacobi type iterative method for the system of I. Vekua equations for a spherical shell. (English) Zbl 1410.74044 Appl. Math. Inform. Mech. 13, No. 1, 33-39 (2008). MSC: 74K25 74S30 65J15 65M12 65M15 65M55 PDFBibTeX XMLCite \textit{D. Gulua} et al., Appl. Math. Inform. Mech. 13, No. 1, 33--39 (2008; Zbl 1410.74044)
Gegechkori, Z.; Rogava, J.; Tsiklauri, M. Fourth order of accuracy Crank-Nicolson type decomposition scheme for multidimensional evolution problem. (English) Zbl 1206.65209 Appl. Math. Inform. Mech. 13, No. 1, 24-32 (2008). Reviewer: Vit Dolejsi (Praha) MSC: 65M06 65M12 65M15 65M55 35K90 PDFBibTeX XMLCite \textit{Z. Gegechkori} et al., Appl. Math. Inform. Mech. 13, No. 1, 24--32 (2008; Zbl 1206.65209)
Rogava, J.; Tsiklauri, M. High order of accuracy decomposition scheme for multidimensional hyperbolic equation. (English) Zbl 1187.65101 Appl. Math. Inform. Mech. 12, No. 2, 92-104 (2007). MSC: 65M12 65M15 65M55 PDFBibTeX XMLCite \textit{J. Rogava} and \textit{M. Tsiklauri}, Appl. Math. Inform. Mech. 12, No. 2, 92--104 (2007; Zbl 1187.65101) Full Text: Link
Rogava, J.; Tsiklauri, M. The fourth order accuracy decomposition scheme for a multi-dimensional evolution problem. (English) Zbl 1187.65103 Appl. Math. Inform. Mech. 11, No. 1, 64-85 (2006). MSC: 65M12 65M15 65M55 PDFBibTeX XMLCite \textit{J. Rogava} and \textit{M. Tsiklauri}, Appl. Math. Inform. Mech. 11, No. 1, 64--85 (2006; Zbl 1187.65103)
Rogava, J.; Tsiklauri, M. On stability and convergence of symmetric three-layer semidiscrete scheme for abstract analogue of nonlinear Kirchhoff wave equation. (English) Zbl 1187.65102 Appl. Math. Inform. Mech. 11, No. 2, 69-80 (2006). MSC: 65M12 65M15 65M55 PDFBibTeX XMLCite \textit{J. Rogava} and \textit{M. Tsiklauri}, Appl. Math. Inform. Mech. 11, No. 2, 69--80 (2006; Zbl 1187.65102)
Rogava, J.; Tsiklauri, M. Fourth order of accuracy sequential type decomposition scheme for evolution problem. (English) Zbl 1187.65105 Appl. Math. Inform. Mech. 10, No. 2, 90-101 (2005). MSC: 65M12 65M15 65M55 PDFBibTeX XMLCite \textit{J. Rogava} and \textit{M. Tsiklauri}, Appl. Math. Inform. Mech. 10, No. 2, 90--101 (2005; Zbl 1187.65105)
Rogava, J.; Tsiklauri, M. Third order of accuracy sequential type decomposition schemes for two and multidimensional evolution problems. (English) Zbl 1187.65104 Appl. Math. Inform. Mech. 10, No. 1, 72-87 (2005). MSC: 65M12 65M15 65M55 PDFBibTeX XMLCite \textit{J. Rogava} and \textit{M. Tsiklauri}, Appl. Math. Inform. Mech. 10, No. 1, 72--87 (2005; Zbl 1187.65104)
Gegechkori, Z.; Rogava, J.; Tsiklauri, M. Fourth order of accuracy Cranc-Nickolson type decomposition scheme for evolution problem. (English) Zbl 1221.65161 Appl. Math. Inform. Mech. 9, No. 2, 61-76 (2004). MSC: 65L05 34G10 65L12 65M06 65M55 35K90 65L70 65M15 PDFBibTeX XMLCite \textit{Z. Gegechkori} et al., Appl. Math. Inform. Mech. 9, No. 2, 61--76 (2004; Zbl 1221.65161)
Gegechkori, Z.; Rogava, J.; Tsiklauri, M. The third order of accuracy operator split of the evolution problem using Padé approximation. (English) Zbl 1077.65100 Appl. Math. Inform. Mech. 9, No. 1, 39-71 (2004). Reviewer: Qin Mengzhao (Beijing) MSC: 65M15 35K90 65J10 65M12 65M06 34G10 65M55 PDFBibTeX XMLCite \textit{Z. Gegechkori} et al., Appl. Math. Inform. Mech. 9, No. 1, 39--71 (2004; Zbl 1077.65100)
Kaladze, T.; Rogava, J.; Tsamalashvili, L.; Tsiklauri, M. Implicit difference schemes for the Charney-Obukhov equation. (English) Zbl 1060.86006 Appl. Math. Inform. 8, No. 2, 20-39 (2003). MSC: 86A10 86-08 65M06 76M20 76U05 85-08 85A30 PDFBibTeX XMLCite \textit{T. Kaladze} et al., Appl. Math. Inform. Mech. 8, No. 2, 20--39 (2003; Zbl 1060.86006)