Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optimal monomial quadratization for ODE systems   Quadratization problem is, given a system of ODEs with polynomial right-hand
side, transform the system to a system with quadratic right-hand side by
introducing new variables. Such transformations have been used, for example, as
a preprocessing step by model order reduction methods and for transforming
chemical reaction networks.
  We present an algorithm that, given a system of polynomial ODEs, finds a
transformation into a quadratic ODE system by introducing new variables which
are monomials in the original variables. The algorithm is guaranteed to produce
an optimal transformation of this form (that is, the number of new variables is
as small as possible), and it is the first algorithm with such a guarantee we
are aware of. Its performance compares favorably with the existing software,
and it is capable to tackle problems that were out of reach before.

22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat