Stability analysis of frequency and step length dependent RungeKuttaNystrm methods
We present a symbolicnumerical package to analyze the linear stability properties of RungeKuttaNystrm methods for y??=f(x,y) y ? ? = f ( x , y ) , which are suitable for ordinary differential equations having periodic or oscillatory solutions, having frequency and step length dependent parameters. As an example, we apply this analysis to a special class of numerical methods appeared in the literature, which are based on trigonometric polynomials.
stability analysis rungekuttanystrm methods numerical methods for ordinary differential equations