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On the order conditions of Runge-Kutta methods with higher derivatives

โœ Scribed by E. Gekeler; R. Widmann


Publisher
Springer-Verlag
Year
1986
Tongue
English
Weight
805 KB
Volume
50
Category
Article
ISSN
0029-599X

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๐Ÿ“œ SIMILAR VOLUMES


Rungeโ€“Kutta with higher order derivative
โœ David Goeken; Olin Johnson ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 168 KB

We introduce a form of Runge-Kutta in which it is assumed that the user will evaluate both f and f in solving y = f (x, y) numerically. This allows us to introduce new Runge-Kutta parameters that increase the order of accuracy of the solution with evaluations of f replacing evaluations of f . If f i