Extended explicit pseudo two-step RKN methods for oscillatory systems y ″ + M y = f(y)

@article{Li2017ExtendedEP,
  title={Extended explicit pseudo two-step RKN methods for oscillatory systems y ″ + M y = f(y)},
  author={Jiyong Li and Shuo Deng and Xianfen Wang},
  journal={Numerical Algorithms},
  year={2017},
  volume={78},
  pages={673-700}
}
In this paper, extended explicit pseudo two-step Runge-Kutta-Nyström (EEPTSRKN) methods for the numerical integration of oscillatory system y ″ + M y = f(y) are proposed and studied. These methods inherit the framework of explicit pseudo two-step Runge-Kutta-Nyström (EPTSRKN) methods (Cong et al. Comput. Math. Appl. 38, 17–39, 1999) and they are parallel… CONTINUE READING