Improved numerical integration of perturbed oscillators via average

  title={Improved numerical integration of perturbed oscillators via average},
  author={Pablo Mart{\'i}n and Jos{\'e}-Miguel Farto},
  journal={Applied Mathematics and Computation},
This paper addresses the improvement of numerical integration results provided by both general purpose codes and special codes, when integrating oscillatory problems. This improvement is achieved by means of a technique of average: the first approximation of Kryloff and Bogoliuboff. Numerical examples are given, including the numerical integration of the satellite problem. The results are compared with some symplectic integrators. 

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