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

abstract

• 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.

authors

• Chin, Siu

published proceedings

• PHYSICS LETTERS A

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

publisher

• Elsevier  Publisher

published in

• Physics Letters, Section A: General, Atomic and Solid State Physics  Journal

Digital Object Identifier (DOI)

• 10.1016/j.physleta.2005.05.062

start page

• 397

end page

• 403

volume

• 342

issue

• 5-6

URL

• http://dx.doi.org/10.1016/j.physleta.2005.05.062