TY - JOUR
T1 - Conjugate-Symplecticity of Linear Multistep Methods
AU - Ernst Hairer
JO - Journal of Computational Mathematics
VL - 5
SP - 657
EP - 659
PY - 2008
DA - 2008/10
SN - 26
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/8649.html
KW - Linear multistep method, Underlying one-step method, Conjugate-symplecticity,
Symmetry.
AB - <p style="text-align: justify;">For the numerical treatment of Hamiltonian differential equations, symplectic integrators are the most suitable choice, and methods that are conjugate to a symplectic integrator share the same good long-time behavior. This note characterizes linear multistep methods whose underlying one-step method is conjugate to a symplectic integrator. The boundedness of parasitic solution components is not addressed.</p>