"Sähkötekniikan osasto - Department of Elecrical Engineering" - Selaus tiedekunnan mukaan (- 2018)Erillisteokset ja sarjajulkaisut
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On Low Order Embedded Pairs of Implicit Runge-Kutta Formulas
Tampere University of Technology, Dept of Information Technology, Mathematics Report (Tampere University of Technology, 1996)
reportImplicit 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, Department of Information Technology, Mathematics Report : 73 (Tampere University of Technology, 1998)
reportThe 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 ...