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65L20 Stability and convergence of numerical methods (24 articles)

• Ashordia, Malkhaz: On the necessary and sufficient conditions for the convergence of the difference schemes for the general boundary value problem for the linear systems of ordinary differential equations. (English). Mathematica Bohemica, vol. 146 (2021), issue 3, pp. 333-362
• Hu, Guang-Da; Shao, Lizhen: Delay-dependent stability of linear multi-step methods for linear neutral systems. (English). Kybernetika, vol. 56 (2020), issue 3, pp. 543-558
• Hu, Guang-Da: Delay-dependent stability of Runge-Kutta methods for linear neutral systems with multiple delays. (English). Kybernetika, vol. 54 (2018), issue 4, pp. 718-735
• Zubik-Kowal, Barbara: Propagation of errors in dynamic iterative schemes. (English). In: Mikula, Karol (ed.): Proceedings of Equadiff 14. Conference on Differential Equations and Their Applications, Bratislava, July 24-28, 2017. Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing, Bratislava, 2017. pp. 97-106
• Vlasák, Miloslav: Time discretizations for evolution problems. (English). Applications of Mathematics, vol. 62 (2017), issue 2, pp. 135-169
• Faragó, István: Convergence and stability constant of the theta-method. (English). In: Brandts, J., Korotov, S., Křížek, M., Šístek, J. and Vejchodský, T. (eds.): Applications of Mathematics 2013, In honor of the 70th birthday of Karel Segeth. Proceedings. Prague, May 15-17, 2013. Institute of Mathematics AS CR, Prague, 2013. pp. 42-51
• Faragó, István; Havasi, Ágnes; Zlatev, Zahari: The convergence of explicit Runge-Kutta methods combined with Richardson extrapolation. (English). In: Brandts, J., Chleboun, J., Korotov, S., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Applications of Mathematics 2012, In honor of the 60th birthday of Michal Křížek. Proceedings. Prague, May 2-5, 2012. Institute of Mathematics AS CR, Prague, 2012. pp. 99-106
• Jánský, Jiří; Kundrát, Petr: The stability analysis of a discretized pantograph equation. (English). Mathematica Bohemica, vol. 136 (2011), issue 4, pp. 385-394
• Yazaki, Shigetoshi: On the tangential velocity arising in a crystalline approximation of evolving plane curves. (English). Kybernetika, vol. 43 (2007), issue 6, pp. 913-918
• Vitásek, Emil: $A$-stabilní metody libovolně vysokého řádu. (Czech) [$A$-stable methods of arbitrarily high order]. Pokroky matematiky, fyziky a astronomie, vol. 51 (2006), issue 1, pp. 61-68
• Jankowski, Tadeusz: Boundary value problems for systems of functional differential equations. (English). Applications of Mathematics, vol. 47 (2002), issue 5, pp. 427-458
• Stynes, Martin; Kellogg, R. Bruce: $N$-widths for singularly perturbed problems. (English). Mathematica Bohemica, vol. 127 (2002), issue 2, pp. 343-352
• Stynes, Martin; Kellogg, R. Bruce: $N$-widths for singularly perturbed problems. (English). In: Krbec, M. and Kuben, J. (eds.): Proceedings of Equadiff 10, Czechoslovak International Conference on Differential Equations and Their Applications, Prague, August 27-31, 2001. [Part 1] Invited Lectures. Masaryk University, Brno, 2002. pp. 197-205
• Podlubny, Igor: Parallel algorithms for initial and boundary value problems for linear ordinary differential equations and their systems. (English). Kybernetika, vol. 32 (1996), issue 3, pp. 251-260
• Jankowski, Tadeusz: On the existence of solutions and one-step method for functional-differential equations with parameters. (English). Czechoslovak Mathematical Journal, vol. 44 (1994), issue 2, pp. 193-208
• Bohl, Erich; Schropp, Johannes: Discrete evolutions: Convergence and applications. (English). Applications of Mathematics, vol. 38 (1993), issue 4, pp. 266-280
• Spigler, Renato; Vianello, Marco: Semi-implicit discretization of abstract evolution equations. (English). In: Brunovský, Pavol and Medveď, Milan (eds.): Equadiff 8. Czech - Slovak Conference on Differential Equations and Their Applications. Bratislava, August 24-28, 1993. Mathematical Institute, Slovak Academy of Sciences, Bratislava, 1994. pp. 207-212
• Stetter, Hans J.: Algorithms for the inclusion of solutions of ordinary initial value problems. (English). In: Vosmanský, Jaromír and Zlámal, Miloš (eds.): Equadiff 6. Proceedings of the International Conference on Differential Equations and Their Applications held in Brno, Czechoslovakia, Aug. 26 - 30, 1985. J. E. Purkyně University, Department of Mathematics, Brno, 1986. pp. 85-94
• Vanselow, Reiner: Erweiterung des $G$-Stabilitätsbegriffes auf die Klasse der linearen Mehrschrittblockverfahren. (German) [Extension of the $G$-stability concept to the class of the linear multistep block methods]. Aplikace matematiky, vol. 28 (1983), issue 1, pp. 9-20
• Vanselow, Reiner: Explizite Konstruktion von linearen Mehrschrittblockverfahren. (German) [Explicit construction of linear multistep block methods]. Aplikace matematiky, vol. 28 (1983), issue 1, pp. 1-8
• Huťa, Anton; Strehmel, Karl: Construction of explicit and generalized Runge-Kutta formulas of arbitrary order with rational parameters. (English). Aplikace matematiky, vol. 27 (1982), issue 4, pp. 259-276
• Zlámal, Miloš: Galerkin-finite element solution of nonlinear evolution problems. (English). In: Greguš, Michal (ed.): Equadiff 5. Proceedings of the Fifth Czechoslovak Conference on Differential Equations and Their Applications held in Bratislava, August 24-28, 1981. BSB B.G. Teubner Verlagsgesellschaft, Leipzig, 1982. pp. 378-386
• Babuška, Ivo: Numerische Stabilität des Ritzschen Verfahrens. (German) [Numerical stability of the Ritz method]. Aplikace matematiky, vol. 10 (1965), issue 3, pp. 196-199
• Gurega, Ján; Kostolanský, Eduard: Решение системы обыкновенных дифференциальных уравнений на быстродействующей вычислительной машине методом Нордсика. (Russian) [Solution of a system of ordinary differential equations on a computer by the Nordsieck method]. Aplikace matematiky, vol. 10 (1965), issue 3, pp. 217-221