Cheap one-step global error estimation for odes
ISSN: 1179-4984
Datum der Publikation: 2000
Ausgabe: 29
Seiten: 211-221
Art: Artikel
Andere Publikationen in: New Zealand Journal of Mathematics
Zusammenfassung
We propose a class of one-step integrators for ODEs that provide an estimation of the global error along with the numerical solution. The schemes that we propose can be considered as a generalization of the globally embedded R K methods of Dormand, Gilmore and Prince . We present preliminary numerical experiments testing a particular 5th order scheme that we have constructed based on an optimized standard RK method. The numerical results seem to indicate that our method gives useful information on the behaviour of the global error while being practically as efficient as the underlying standard R K scheme.