Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Developing explicit Runge-Kutta formulas using open-source software   Runge-Kutta formulas are some of the workhorses of numerical solving of
differential equations. However, they are extremely difficult to generate; the
algebra involved can be very complicated indeed. It is now standard, following
the work of Butcher in the 1960's and 70's, to use the theory of trees to
simplify the algebra. More recently, however, several authors have shown that
it is quite feasible to use a computer algebra system to generate Runge-Kutta
formulas. This article shows that, instead of using commercial systems as has
been done previously, open-source systems can be used with equal effect. This
has the advantage that anybody can experiment with the code.

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The categories of this paper are: eess
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
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The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
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The categories of this paper are: funct-an
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The categories of this paper are: hep-lat