Article ID Journal Published Year Pages File Type
425754 Future Generation Computer Systems 2006 8 Pages PDF
Abstract

We present a symbolic–numerical package to analyze the linear stability properties of Runge–Kutta–Nyström 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.

Related Topics
Physical Sciences and Engineering Computer Science Computational Theory and Mathematics
Authors
, ,