Interested in co-writing an article?

[Alasdair]

I've written an article about using Sage to develop explicit Runge-Kutta formulas for the numerical solution of ODEs.  I've sent it off to a few journals, all of whom have rejected it - clearly it's not quite the right "fit" for any of them: it's too technical for education journals, and not theoretical enough for computer algebra journals.  So I'm throwing it open to co-authorship, in the hope that somebody may be interested in working with me to produce a publishable article.

You can check it out at http://arxiv.org/abs/1402.3883

If you're interested in helping me polishing this up (and getting full co-authorship) let me know!

By the way, if this is not the right forum for a question like this, I'm happy for this query to be forwarded elsewhere.

cheers,
Alasdair

[Thierry Dumont]

I am very interested by what you have developped. It looks a bit like
what I am doing.
I 'll contact you directly.
yours
t.

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[Frédéric Chapoton]

This could have some relation with http://trac.sagemath.org/ticket/15635, maybe.

[rjf]

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.

So it's not an advance in numerical analysis, nor in applications of a CAS.  It's not appealing
to people who who might reasonably ask,  What does Sage contribute.

It's not of much interest in terms of programming languages --  Maxima is sort of Algol-60 ish.
 but usually Sage contributes only clutter to the language. And I guess you are just feeding
it simple commands.

So it is basically of interest to fans of Sage who also care about Runge-Kutta formulas
and might appreciate your explanations.

Maybe that's not a large audience.   But perhaps the reviews you've gotten already say this?

Good luck.



So

[Alasdair McAndrew]

Thanks Richard - I sort of realized that - and your comments basically mirror those of the reviewers. On the other hand I quite like the idea of RK formulas developed by CAS, in which there is a small literature.  One possible approach might be to use Sage also to generate the RK formulas using Butcher's tree-based methods, and compare the two methods somehow.  Anyway, I hate throwing material away; I wonder if I can somehow re-engineer the material to be more education focused?

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[Thierry Dumont]

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...
>
>