Re: [Reduce-algebra-developers] reduce-algebra vs Mathematica

[Tony R. <ant...@ad...>]

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Hi all,

I had a student who was keen on Mathematica, so I set him the side
challenge of comparing it with Reduce on the class of problems we were
doing.  The following is our conclusion (finally due to be published
soon in the J. Engrg Maths)

Tony

Reduce was much faster    Computational experiments found that the
computer algebra package Reduce was at least an order of magnitude
faster than Mathematica. Table 3 lists the computational time for the
Reduce and the Mathematica implementation for constructing O???4,?2??
holistic models of the one dimensional Ginzburg?Landau equation with
subgrid resolutions of 2, 4, 8 and 16 subgrid intervals. These times
were observed on a Pentium III, 750MHz processor, with 256 Mb ram,
running Reduce 3.7, under Windows XP. Table 3 shows the Reduce
implementation was 20?70 times faster than the Mathematica
implementation (even with the repeated help of the Mathematica news
group). Thus we use the free package Reduce [18].

Table 3: Reduce and Mathematica computational times for numerical
construction of O???4,?2?? holistic models of the one dimensional
Ginzburg?Landau equation for various subgrid scale resolutions, n.
n Reduce Mathematica
2 1.1s 70.2s
4 3.1s 215.4s
8 8.3s 367.6s
16 23.7s  517.7 s

On 22/06/13 5:51 AM, Peng Yu wrote:
> Hi,
>
> My question is not a developer question. But the forum on sf is
> just inconvenience to use.
>
> Reduce-algebra is very capable and free (but the gui is bad, it
> fa. There are recent papers using it. But it is Mathematica is more
> used. Has anybody compared the pros and cons of reduce-algebra vs
> Mathematica? (I don't find a comparison.) Thanks.
>

- -- 
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Professor A.J. Roberts
School of Mathematical Sciences  phone: +61 8 8313 3035
University of Adelaide           fax:   +61 8 8313 3696
South Australia 5005.            mailto:ant...@ad...
http://www.maths.adelaide.edu.au/anthony.roberts/
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