rknstabint swMATH ID: 11486 Software Authors: Paternoster, B.; M. Cafaro Description: 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. Homepage: http://www.netlib.org/ode/symbolic/ Keywords: numerical experiments; Runge-Kutta-Nystr”om methods; systems; periodic or oscillatory solution; collocation; linear stability Related Software: Cited in: 2 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year A phase-fitted collocation-based Runge-Kutta-Nyström method. Zbl 0979.65063Paternoster, B. 2000 Cited by 3 Authors 2 Paternoster, Beatrice 1 Conte, Dajana 1 D’Ambrosio, Raffaele Cited in 1 Serial 1 Applied Numerical Mathematics Cited in 3 Fields 2 Ordinary differential equations (34-XX) 2 Numerical analysis (65-XX) 1 Integral equations (45-XX) Citations by Year