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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 ...
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 ...