Le 12/10/2014 06:12, rjf a écrit :


On Friday, October 10, 2014 6:26:24 PM UTC-7, Alasdair wrote:

    I've written an article about using Sage to develop explicit
    Runge-Kutta formulas for the numerical solution of ODEs.


Since the use of a computer algebra system to develop explicit R-K
formulas is pretty much
of a classic operation, and can be done by Maxima which is open source,
and in fact seems to
be done by Maxima in your paper, with a gloss of Sage on top, it is not
clear that you
have something new to contribute.  Besides, high-order RK methods are,
as I recall,
not  very appealing in practice.


This is a genuinely false assertion: in celestial mechanics people use implicit (Gaussian) RK method of order 16!
But ok, I dont think this is the place to discuss this...



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