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On a derivation of Runge‐Kutta formulae

✍ Scribed by Coleman, J. P.

Book ID
125807290
Publisher
Taylor and Francis Group
Year
1976
Tongue
English
Weight
133 KB
Volume
7
Category
Article
ISSN
0020-739X

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📜 SIMILAR VOLUMES

A family of embedded Runge-Kutta formula
A family of embedded Runge-Kutta formulae
✍ J.R. Dormand; P.J. Prince 📂 Article 📅 1980 🏛 Elsevier Science 🌐 English ⚖ 504 KB

A family of embedded Runge-Kutta formulae RK5 (4) are derived. From these are presented formulae which have (a) ‘small’ principal truncation terms in the fifth order and (b) extended regions of absolute stability.

Families of Runge-Kutta-Nystrom Formulae
Families of Runge-Kutta-Nystrom Formulae
✍ DORMAND, J. R.; EL-MIKKAWY, M. E. A.; PRINCE, P. J. 📂 Article 📅 1987 🏛 Oxford University Press 🌐 English ⚖ 585 KB
Symbolic Derivation of Runge-Kutta Metho
Symbolic Derivation of Runge-Kutta Methods
✍ M. Sofroniou 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 927 KB

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