Exact evolution of time-reversible symplectic integrators and their phase errors for the harmonic oscillator Academic Article uri icon


  • The evolution of any factorized time-reversible symplectic integrators, when applied to the harmonic oscillator, can be exactly solved in a closed form. The resulting modified Hamiltonians demonstrate the convergence of the Lie series expansions. They are also less distorted than modified Hamiltonian of non-reversible algorithms. The analytical form for the modified angular frequency can be used to assess the phase error of any time-reversible algorithm. 2005 Elsevier B.V. All rights reserved.

published proceedings


author list (cited authors)

  • Chin, S. A., & Scuro, S. R.

citation count

  • 7

complete list of authors

  • Chin, SA||Scuro, SR

publication date

  • July 2005