Optimized third-order force-gradient symplectic algorithms

@article{Li2010OptimizedTF,
  title={Optimized third-order force-gradient symplectic algorithms},
  author={Rong Li and Xin Wu},
  journal={Science China Physics, Mechanics and Astronomy},
  year={2010},
  volume={53},
  pages={1600-1609}
}
With the natural splitting of a Hamiltonian system into kinetic energy and potential energy, we construct two new optimal thirdorder force-gradient symplectic algorithms in each of which the norm of fourth-order truncation errors is minimized. They are both not explicitly superior to their no-optimal counterparts in the numerical stability and the topology structure-preserving, but they are in the accuracy of energy on classical problems and in one of the energy eigenvalues for one-dimensional… CONTINUE READING

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