García-Alonso, F., Reyes, J.A., Ferrándiz, J.M. and Vigo-Aguiar, J. (2009) Accurate Numerical Integration of Perturbed Oscillatory Systems in Two Frequencies. ACM Transactions on Mathematical Software TOMS, 36, Article 21.
https://doi.org/10.1145/1555386.1555390

has been cited by the following article:

• TITLE: Numerical Integration of Forced and Damped Oscillators through a New Multistep Method

  AUTHORS: M. Cortés-Molina, F. García-Alonso, J. A. Reyes

  KEYWORDS: Numerical Solutions of ODE’s, Perturbed and Damped Oscillators, Initial Value Problems (IVP), Multistep Methods

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.7 No.10, October 23, 2019

  ABSTRACT: Forced and damped oscillators appear in the mathematical modelling of many problems in pure and applied sciences such as physics, engineering and celestial mechanics among others. Although the accuracy of the T-functions series method is high, the calculus of their coefficients needs specific recurrences in each case. To avoid this inconvenience, the T-functions series method is transformed into a multistep method whose coefficients are calculated using recurrence procedures. These methods are convergent and have the same properties to the T-functions series method. Numerical examples already used by other authors are presented, such as a stiff problem, a Duffing oscillator and an equatorial satellite problem when the perturbation comes from zonal harmonics J2.