--- trunk/tengDissertation/Introduction.tex 2006/06/06 01:58:27 2794 +++ trunk/tengDissertation/Introduction.tex 2006/06/06 02:02:02 2795 @@ -861,7 +861,7 @@ Careful choice of coefficient $a_1 \ldot b_m$ will lea \varphi _{b_m h}^2 \circ \varphi _{a_m h}^1 \circ \varphi _{b_{m - 1} h}^2 \circ \ldots \circ \varphi _{a_1 h}^1 . \end{equation} -Careful choice of coefficient $a_1 \ldot b_m$ will lead to higher +Careful choice of coefficient $a_1 \ldots b_m$ will lead to higher order method. Yoshida proposed an elegant way to compose higher order methods based on symmetric splitting\cite{Yoshida1990}. Given a symmetric second order base method $ \varphi _h^{(2)} $, a