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?

On Sun, Oct 12, 2014 at 3:12 PM, rjf <fate...@gmail.com> wrote:

>
>
> 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
>
>>   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
>>
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