TY - JOUR
T1 - Characterizations of Symmetric Multistep Runge-Kutta Methods
AU - Xiao , Aiguo
AU - Gan , Siqing
JO - Journal of Computational Mathematics
VL - 6
SP - 791
EP - 796
PY - 2004
DA - 2004/12
SN - 22
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/8867.html
KW - Multistep Runge-Kutta method, Symmetry.
AB - <p style="text-align: justify;">Some characterizations for symmetric multistep Runge-Kutta (RK) methods are obtained. Symmetric two-step RK methods with one and two-stages are presented. Numerical examples show that symmetry of multistep RK methods alone is not sufficient for long time integration for reversible Hamiltonian systems. This is an important difference between one-step and multistep symmetric RK methods.</p>