A Runge-Kutta-Nyström code. (English) Zbl 0667.65065

Brankin, R. W.; Gladwell, I.; Dormand, J. R.; Prince, P. J.; Seward, W. L.

ACM Trans. Math. Softw. 15, No. 1, 31-40 (1989).

A robust, reliable, and efficient code implementing recently developed Runge-Kutta-Nyström formulas is described. Two embedded formula pairs are provided. The lower order pair allows interpolation. The structure of the code is based on a modular approach to the design of software for the numerical solution of ordinary differential equations.

MSC:

65L05	Numerical methods for initial value problems involving ordinary differential equations
34-04	Software, source code, etc. for problems pertaining to ordinary differential equations
34A34	Nonlinear ordinary differential equations and systems

Keywords:

dense output; embedded formula pair; Runge-Kutta-Nyström formulas