• On Low Order Embedded Pairs of Implicit Runge-Kutta Formulas 

      Cameron, F.; Piche, R.
      Tampere University of Technology, Dept of Information Technology, Mathematics Report (Tampere University of Technology, 1996)
      report
      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 

      Piche, R.
      Tampere University of Technology, Department of Information Technology, Mathematics Report : 73 (Tampere University of Technology, 1998)
      report
      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 ...