Is there a numerical ODE solver facility in Maxima / off track -- symbolic ODE solver for series

-----maxima-bounces at math.utexas.edu wrote: -----

>Barton?Willis?wrote:
>>?An?another?way?to?find?Taylor?polynomial?solutions?to?DEs?is?fixed?point
>>?iteration?(generally?known?as?Picard?iteration?for?DEs);?something?like:

>>
>yes,?see?also
>
>http://www.cs.berkeley.edu/~fateman/papers/newton.pdf
>
>for?picard?and?newton?iteration.??Worth?pursuing?further,?I?think.

Thank for the reminder. I read this paper sometime ago--part of it
stuck. Is there a definitive work on the trade offs between the order
of a DE solver, the step size, and the bits in a float? There might be
cases where using big floats + high order + large step might be more
efficient than living within the constraints imposed by doubles.

Barton