We present a symbolic-numerical package to analyze the linear stability properties of Runge-Kutta-Nystrom methods for 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 of Frequency and Step Length Dependent Runge-Kutta-Nyström Methods.
CARPENTIERI, MARCO;PATERNOSTER, Beatrice
2006-01-01
Abstract
We present a symbolic-numerical package to analyze the linear stability properties of Runge-Kutta-Nystrom methods for 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.File in questo prodotto:
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