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65L06 Multistep, Runge-Kutta and extrapolation methods (23 articles)

• Keslerová, Radka; Lancmanová, Anna; Bodnár, Tomáš: Validation of numerical simulations of a simple immersed boundary solver for fluid flow in branching channels. (English). In: Chleboun, J., Kůs, P., Papež, J., Rozložník, M., Segeth, K. and Šístek, J. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Jablonec nad Nisou, June 19-24, 2022. Institute of Mathematics CAS, Prague, 2023. pp. 85-96
• Bartoň, Stanislav: Visualisation of the electromagnetic vector fields. (English). In: Chleboun, J., Kůs, P., Papež, J., Rozložník, M., Segeth, K. and Šístek, J. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Jablonec nad Nisou, June 19-24, 2022. Institute of Mathematics CAS, Prague, 2023. pp. 7-14
• Keslerová, Radka; Řezníček, Hynek; Padělek, Tomáš: Numerical simulation of generalized Newtonian fluids flow in bypass geometry. (English). In: Chleboun, J., Kůs, P., Přikryl, P., Rozložník, M., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Hejnice, June 24-29, 2018. Institute of Mathematics CAS, Prague, 2019. pp. 63-70
• Faragó, István; Mincsovics, Miklós Emil; Mosleh, Rahele: Reliable numerical modelling of malaria propagation. (English). Applications of Mathematics, vol. 63 (2018), issue 3, pp. 259-271
• Přikryl, Jan; Vaniš, Miroslav: Comparing numerical integration schemes for a car-following model with real-world data. (English). In: Chleboun, J., Kůs, P., Přikryl, P., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Janov nad Nisou, June 19-24, 2016. Institute of Mathematics CAS, Prague, 2017. pp. 89-96
• Keslerová, Radka; Trdlička, David; Řezníček, Hynek: Numerical modelling of steady and unsteady flows of generalized Newtonian fluids. (English). In: Chleboun, J., Kůs, P., Přikryl, P., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Janov nad Nisou, June 19-24, 2016. Institute of Mathematics CAS, Prague, 2017. pp. 55-62
• ADEMOLA, A. T.; OGUNDIRAN, M. O.; ARAWOMO, P. O.: Stability, Boundedness and Existenceof Periodic Solutions to Certain Third Order Nonlinear Differential Equations. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 54 (2015), issue 1, pp. 5-18
• Hu, Guang-Da: A modified version of explicit Runge-Kutta methods for energy-preserving. (English). Kybernetika, vol. 50 (2014), issue 5, pp. 838-847
• Vlasák, Miloslav; Roskovec, Filip: On Runge-Kutta, collocation and discontinuous Galerkin methods: Mutual connections and resulting consequences to the analysis. (English). In: Chleboun, J., Přikryl, P., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Dolní Maxov, June 8-13, 2014. Institute of Mathematics AS CR, Prague, 2015. pp. 231-236
• 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
• Okuonghae, R. I.; Ikhile, M. N. O.: The Numerical Solution of Stiff IVPs in ODEs Using Modified Second Derivative BDF. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 51 (2012), issue 1, pp. 51-77
• Okuonghae, R. I.; Ikhile, M. N. O.: A ($\alpha $)-Stable Linear Multistep Methods for Stiff IVPs in ODEs. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 50 (2011), issue 1, pp. 73-90
• Chocholatý, Pavol: A nonlinear system of differential equations with distributed delays. (English). In: Chleboun, J., Přikryl, P., Segeth, K. and Šístek, J. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Dolní Maxov, June 6-11, 2010. Institute of Mathematics AS CR, Prague, 2010. pp. 58-64
• Dolejší, Vít: On the solution of linear algebraic systems arising from the semi–implicit DGFE discretization of the compressible Navier–Stokes equations. (English). Kybernetika, vol. 46 (2010), issue 2, pp. 260-280
• Vejchodský, Tomáš: Fully discrete error estimation by the method of lines for a nonlinear parabolic problem. (English). Applications of Mathematics, vol. 48 (2003), issue 2, pp. 129-151
• Jackiewicz, Zdzisław; Vermiglio, Rossana: Order conditions for partitioned Runge-Kutta methods. (English). Applications of Mathematics, vol. 45 (2000), issue 4, pp. 301-316
• Jódar, L.; Ponsoda, E.; Rodríguez, G.: Approximations and error bounds for computing the inverse mapping. (English). Applications of Mathematics, vol. 42 (1997), issue 2, pp. 99-110
• 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
• Jackiewicz, Zdzislaw; Renaut, Rosemary Anne; Zennaro, Marino: Explicit two-step Runge-Kutta methods. (English). Applications of Mathematics, vol. 40 (1995), issue 6, pp. 433-456
• Jankowski, Tadeusz: One-step methods for two-point boundary value problems in ordinary differential equations with parameters. (English). Applications of Mathematics, vol. 39 (1994), issue 2, pp. 81-95
• Jankowski, Tadeusz: One-step methods for ordinary differential equations with parameters. (English). Aplikace matematiky, vol. 35 (1990), issue 1, pp. 67-83
• Vitásek, Emil: Numerical stability in solution of ordinary differential equations. (English). Aplikace matematiky, vol. 13 (1968), issue 2, pp. 203-207