Symbolic derivation of Runge–Kutta–Nyström order conditions
✍ Scribed by Ch. Tsitouras; I. Th. Famelis
- Publisher
- Springer
- Year
- 2009
- Tongue
- English
- Weight
- 266 KB
- Volume
- 46
- Category
- Article
- ISSN
- 0259-9791
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📜 SIMILAR VOLUMES
Computer algebra provides a powerful tool for research in mathematics and the applied sciences. A symbolic package which may be used to explore and derive Runge-Kutta methods is presented. The package is the first of its kind to make use of the elegant graph-theoretical formalism attributed to Butch
A new Runge-Kutta-Nystr6m pair of orders eight and six is presented here. Its main advantage is that it is of zero dissipation so it possesses an interval of periodicity. Numerical results over a set of problems demonstrate the superiority of the method in problems with periodic solution. (~) 1998 E