Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Algebraic background for numerical methods, control theory and
  renormalization   We review some important algebraic structures which appear in a priori remote
areas of Mathematics, such as control theory, numerical methods for solving
differential equations, and renormalization in Quantum Field Theory. Starting
with connected Hopf algebras we will also introduce augmented operads, and
devote a substantial part to pre-Lie algebras. Other related algebraic
structures (Rota-Baxter and dendriform algebras, NAP algebras) will be also
mentioned.

25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio