A-stable diagonally implicit Runge-Kutta-Nyström methods for parallel computers

@article{Cong1993AstableDI,
  title={A-stable diagonally implicit Runge-Kutta-Nystr{\"o}m methods for parallel computers},
  author={Nguyen Huu Cong},
  journal={Numerical Algorithms},
  year={1993},
  volume={4},
  pages={263-281}
}
In this paper, we study diagonally implicit Runge-Kutta-Nyström methods (DIRKN methods) for use on parallel computers. These methods are obtained by diagonally implicit iteration of fully implicit Runge-Kutta-Nyström methods (corrector methods). The number of iterations is chosen such that the method has the same order of accuracy as the corrector, and the… CONTINUE READING