𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A reconsideration of some embedded Runge—Kutta formulae

✍ Scribed by J.R. Dormand; P.J. Prince


Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
552 KB
Volume
15
Category
Article
ISSN
0377-0427

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


A family of embedded Runge-Kutta formula
✍ 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.

Parallel execution of embedded and itera
✍ Rauber, Thomas; Rünger, Gudula 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 151 KB 👁 1 views

In this paper, we consider the parallel solution of non-stiff ordinary differential equations with two different classes of Runge-Kutta (RK) methods providing embedded solutions: classical embedded RK methods and iterated RK methods which were constructed especially for parallel execution. For embed

New embedded explicit pairs of exponenti
✍ A. París; L. Rández 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 348 KB

Two new embedded pairs of exponentially fitted explicit Runge-Kutta methods with four and five stages for the numerical integration of initial value problems with oscillatory or periodic solutions are developed. In these methods, for a given fixed ω the coefficients of the formulae of the pair are s