Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Systematic Discovery of Runge-Kutta Methods through Algebraic Varieties   This work presents a new evolutionary optimization algorithm in theoretical
mathematics with important applications in scientific computing. The use of the
evolutionary algorithm is justified by the difficulty of the study of the
parametrization of an algebraic variety, an important problem in algebraic
geometry. We illustrate an application, Evo-Runge-Kutta, in a problem of
numerical analysis. Results show the design and the optimization of particular
algebraic variety, the explicit s levels Runge-Kutta methods of order q. The
mapping between algebraic geometry and evolutionary optimization is direct, and
we expect that many open problems will be modelled in the same way.

31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph