On 4/6/2012 2:19 AM, nijso beishuizen wrote:
> Thanks for the reply. I have Saunders' paper as well, describing the
> algorithm. I am also checking some newer results from Hoeij and Weil,
> which result in more compact answers. Might be interesting to
> implement, the only problem is time...
There is an implementation, in Maple, by Carolyn Smith, in her MS
thesis at Waterloo, 1984.
http://www.cs.uwaterloo.ca/research/tr/1984/CS-84-35.pdf
>
>
> ------------------------------------------------------------------------
> Date: Thu, 5 Apr 2012 08:50:55 +1000
> From: dbmaxima at gmail.com
> To: nijso at hotmail.com
> CC: maxima at math.utexas.edu
> Subject: Re: [Maxima] kovacic algorithm
>
> On 5/04/2012 5:49 AM, nijso beishuizen wrote:
>
> Dear all,
>
> Again, a question about something that was once written in/with
> macsyma and now (probably) lost...
>
> Does somebody know of a surviving macsyma/maxima implementation of
> the kovacic algorithm (solving second order ode's using
> differential Galois theory)? In some papers from the beginning of
> the 80's the authors state that they 'have implemented the
> algorithm in macsyma', most notably Prelle&Singer (1983). At least
> 4 different groups have written a version in macsyma and one
> version of this algorithm was probably part of Macsyma at one
> point (mentioned in the Handbook of differential equations in 1989).
>
>
> I asked about this up a few years ago without success. At the time I
> contacted David Saunders about his 1981 code, but he no longer had a
> copy./
> /
>
>
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