Viitteet 1-2 / 2
On the parametric instability caused by step size variation in Runge-Kutta-Nyström methods
(Tampere University of Technology, 1998)
The parametric instability arising when ordinary differential equations (ODEs) are numerically integrated with Runge-Kutta-Nyström (RKN) methods with varying step sizes is investigated. It is shown that when linear constant ...
On Low Order Embedded Pairs of Implicit Runge-Kutta Formulas
(Tampere University of Technology, 1996)
Implicit Runge-Kutta methods are used for solving stiff ODEs such as those arising in mechanical or electrical system simulation and in semidiscretisation of partial differential equation evolution problems. Embedding one ...