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Some applications of continuous Runge-Kutta methods

✍ Scribed by A. Bellen; R. Vermiglio


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
1012 KB
Volume
22
Category
Article
ISSN
0168-9274

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πŸ“œ SIMILAR VOLUMES


Continuous approximation with embedded R
✍ T.S. Baker; J.R. Dormand; J.P. Gilmore; P.J. Prince πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 564 KB

The criteria to be satisfied by ?dense" formulae associated with Runge-Kutta embedded pairs are considered. From a new criterion based on global error considerations, new continuous formulae are derived and tested for some well known efficient pairs.

Stability of some continuously imbedded
✍ S. Thompson πŸ“‚ Article πŸ“… 1987 πŸ› Elsevier Science 🌐 English βš– 202 KB

Sarafyan and others have recently developed novel explicit Runge-Kutta methods. Associated with each method is an imbedded polynomial which interpolates the Runge-Kutta method and which is itself a Runge-Kutta approximation at non-meshpoints. In this paper, we show that the interpolation polynomials