On Sat, Jul 17, 2010 at 11:03 AM, Thierry Dumont
<tdum...@math.univ-lyon1.fr> wrote:
> 2) For the ODEs, the best and the most *modern* methods are there:
> http://www.unige.ch/~hairer/software.html
> H. Hairer, G. Wanner, C. Lubich are among the best specialist of numerical
> methods for ODE and their programs (even if written in f77) are wonderful,
> and very robust and efficient. Writing an interface may not be a so large
> task (there is already a Matlab interface) and we would have the best for
> stiff systems, Hamiltonian systems (make celestial mechanics with Sage) and
> so on... This would be in the spirit of Sage, I think: use the best software
> available, written by true specialists.

Nice pointer, did not know about that page :)

Another interesting approach for ODE that I did not see mentioned is
that of Taylor integrators, e.g.:

http://www.maia.ub.es/~angel/taylor/

It should not bee to hard to wrap in Python using Weave and
translating symbolic expressions into the text format used by the
integrator.

Cheers,

  Francesco.

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