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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