Various issues related to the development of a new code for nonstiff differential equations are discussed. This code is based on two-step Runge-Kutta methods of order five and stage order five. Numerical experiments are presented which demonstrate that the new code is competitive with the Matlab ode45 program for all tolerances.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-am28-3-9,
author = {Zbigniew Bartoszewski and Zdzis\l aw Jackiewicz},
title = {Toward a two-step Runge-Kutta code for nonstiff differential systems},
journal = {Applicationes Mathematicae},
volume = {28},
year = {2001},
pages = {353-365},
zbl = {1008.65046},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am28-3-9}
}
Zbigniew Bartoszewski; Zdzisław Jackiewicz. Toward a two-step Runge-Kutta code for nonstiff differential systems. Applicationes Mathematicae, Tome 28 (2001) pp. 353-365. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am28-3-9/