@Article{JCM-20-5,
author = {Peter, Görtz},
title = {Backward Error Analysis of Symplectic Integrators for Linear Separable Hamiltonian Systems},
journal = {Journal of Computational Mathematics},
year = {2002},
volume = {20},
number = {5},
pages = {449--460},
abstract = {<p style="text-align: justify;">Symplecticness, stability, and asymptotic properties of Runge-Kutta, partitioned Runge-Kutta, and Runge-Kutta-Nystr<span style="font-family: 等线; font-size: 19px;">ö</span>m methods applied to the simple Hamiltonian system $\dot{p}= -vq, \dot{q}= kp$ are studied. Some new results in connection with P-stability are presented. The main part is focused on backward error analysis. The numerical solution produced by a symplectic method with an appropriate stepsize is the exact solution of a perturbed Hamiltonian system at discrete points. This system is studied in detail and new results are derived. Numerical examples are presented.</p>},
issn = {1991-7139},
doi = {https://doi.org/2002-JCM-8931},
url = {https://global-sci.com/article/85421/backward-error-analysis-of-symplectic-integrators-for-linear-separable-hamiltonian-systems}
}