caa a22 4500 465821308 CHVBK 20180323112136.0 cr unu---uuuuu 170327e19901201xx s 000 0 eng 10.1007/BF01933212 doi (NATIONALLICENCE)springer-10.1007/BF01933212 A class of pseudo Runge-Kutta methods [Elektronische Daten] [R. Caira, C. Costabile, F. Costabile] This paper develops a general theory for a class of Runge-Kutta methods which are based, in addition to the stages of the current step, also on the stages of the previous step. Such methods have been introduced previously for the case of one and two stages. We show that for any numbers of stages methods of orderp withs+1 ≤p ≤ 2s can be constructed. The paper terminates with a study of step size change and stability. BIT Foundations, 1990 AMS (MOS): 65L05 nationallicence Caira R. Dipartimento di Matematica, Università della Calabria, 87030, Rende, Italy aut Costabile C. Dipartimento di Matematica, Università della Calabria, 87030, Rende, Italy aut Costabile F. Dipartimento di Matematica, Università della Calabria, 87030, Rende, Italy aut BIT Numerical Mathematics Kluwer Academic Publishers 30/4(1990-12-01), 642-649 0006-3835 30:4<642 1990 30 10543 https://doi.org/10.1007/BF01933212 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01933212 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Caira R. Dipartimento di Matematica, Università della Calabria, 87030, Rende, Italy aut NATIONALLICENCE 700 1- Costabile C. Dipartimento di Matematica, Università della Calabria, 87030, Rende, Italy aut NATIONALLICENCE 700 1- Costabile F. Dipartimento di Matematica, Università della Calabria, 87030, Rende, Italy aut NATIONALLICENCE 773 0- BIT Numerical Mathematics Kluwer Academic Publishers 30/4(1990-12-01), 642-649 0006-3835 30:4<642 1990 30 10543 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer