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65L20 Stability and convergence of numerical methods (23 articles)

• 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