[Maxima] grad student project? singularly perturbed differential equations
emaevskiy at e-math.ru
Thu Jun 7 13:59:23 CDT 2012
We already have a package for regularly perturbed differential
equations? There, too, is not simple, but it is much easier than in the
07.06.2012 17:58, Richard Fateman пишет:
> This topic appears repeatedly as a possible application of computer algebra
> systems, starting from at least W.A. Martin's MIT dissertation (c. 1966).
> In SIAM Review vol 54, no. 2 pp 374-388 there is a tutorial paper
> "The Renormalization Group: A Perturbation Method for the Graduate
> by E. Kirkinis
> which includes the sentence "Since the RG method is clear and
> systematic, there
> is room to develop commercial symbolic computation software packages."
> The [ancient?] history of solving perturbed D.E.s consists of examining
> a few
> particular equations and coming up with "methods" that work on them but
> maybe not
> on others. I say "methods" because the texts describe them as
> typically isolated examples.
> There is a large literature but I think that newer texts
> tend to include whatever worked in the prior literature.
> This RG may in fact be more of a unifying approach (looks sort of like the
> method of multiple scales).
> Any applied math grad students out there?
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