@Article{JCM-20-185, author = {Tang , Yi-Fa}, title = {Expansion of Step-Transition Operator of Multi-Step Method and Its Applications (I)}, journal = {Journal of Computational Mathematics}, year = {2002}, volume = {20}, number = {2}, pages = {185--196}, abstract = { 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. }, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8909.html} }