A phase-fitted collocation-based Runge-Kutta-Nyström method. ... She derives collocation based Runge-Kutta-Nyström methods with symmetric points and identifies a three-stage method that is exact in phase for the linear case. The linear stability of the method is investigated by means of a symbolic-numerical package developed by M. Cafaro and the author and available at the URL: http://www.netlib.org/ode/symbolic. As a consequence of its stability properties, the method is suitable for the numerical solution of systems which exhibit a moderate stiffness. Numerical experiments are reported at the end of the paper.
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References in zbMATH (referenced in 2 articles , 1 standard article )
Showing results 1 to 2 of 2.
- Conte, Dajana; D’Ambrosio, Raffaele; Paternoster, Beatrice: Advances on collocation based numerical methods for ordinary differential equations and Volterra integral equations (2011)
- Paternoster, B.: A phase-fitted collocation-based Runge-Kutta-Nyström method (2000)