TY - JOUR
T1 - Expansion of Step-Transition Operator of Multi-Step Method and Its Applications (I)
AU - Tang , Yi-Fa
JO - Journal of Computational Mathematics
VL - 2
SP - 185
EP - 196
PY - 2002
DA - 2002/04
SN - 20
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/8909.html
KW - Multi-step method, Step-transition operator, Expansion.
AB -  We expand the step-transition operator of any linear multi-step method with order $s \ge 2 \ {\rm up} \ {\rm to} \ O({\tau^{s+5}})$. And through examples we show how much the perturbation of the step-transition operator caused by the error of initial value is.