caa a22 4500 465751644 CHVBK 20180323111835.0 cr unu---uuuuu 170327e19901201xx s 000 0 eng 10.1007/BF02238806 doi (NATIONALLICENCE)springer-10.1007/BF02238806 Interpolants for Runge-Kutta pairs of order four and five [Elektronische Daten] [M. Calvé, R. Vaillancourt] Interpolierende für Dormand-Prince Runge-Kutta Paare von vierter und fünfter Ordnung Interpolants locally of the fifth and sixth orders are constructed by means of the boot-strapping method of Enright et al. for the Runge-Kutta pairs (globally) of the fourth and fifth orders of Dormand and Prince DP(4,5)6M, 7M, 7C and 7S. The asymptotic errors in the interpolants are found to be bounded, in the uniform norm in the space of elementary differentials, by the error in the discrete solution. Numerical results corroborate these asymptotic bounds at working step sizes. Springer-Verlag, 1990 Hermite-Birkhoff interpolation nationallicence Runge-Kutta formulas nationallicence Calvé M. Département de mathémtiques, Université d'Ottawa, K1N 6N5, Ottawa, ON, Canada aut Vaillancourt R. Département de mathémtiques, Université d'Ottawa, K1N 6N5, Ottawa, ON, Canada aut Computing Springer-Verlag 45/4(1990-12-01), 383-388 0010-485X 45:4<383 1990 45 607 https://doi.org/10.1007/BF02238806 text/html Onlinezugriff via DOI 1 brief-communication jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02238806 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Calvé M. Département de mathémtiques, Université d'Ottawa, K1N 6N5, Ottawa, ON, Canada aut NATIONALLICENCE 700 1- Vaillancourt R. Département de mathémtiques, Université d'Ottawa, K1N 6N5, Ottawa, ON, Canada aut NATIONALLICENCE 773 0- Computing Springer-Verlag 45/4(1990-12-01), 383-388 0010-485X 45:4<383 1990 45 607 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer