Didn't Newton do this?
At 09:45 AM 4/28/2013, Richard Fateman wrote:
>I came across this paper (dedicated to memory of Wm Schelter!)
>
>http://www.maia.ub.es/~angel/taylor/taylor.pdf
>
>on a software package for numerical solution of ODEs via Taylor series.
>
>Someone looking for a project might find this an interesting paper. There
>is a lot of history in this area, too.