TY - JOUR
T1 - Comparison of a Spectral Collocation Method and Symplectic Methods for Hamiltonian Systems
JO - International Journal of Numerical Analysis and Modeling
VL - 1
SP - 86
EP - 104
PY - 2011
DA - 2011/08
SN - 8
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/675.html
KW - Hamiltonian systems, spectral method, collocation, symplectic structure, energy conservation.
AB - <p style="text-align: justify;">We conduct a systematic comparison of a spectral collocation
method with some symplectic methods in solving Hamiltonian dynamical systems.
Our main emphasis is on non-linear problems. Numerical evidence has
demonstrated that the proposed spectral collocation method preserves both
energy and symplectic structure up to the machine error in each time (large)
step, and therefore has a better long time behavior.</p>