Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Two continuous (4, 5) pairs of explicit 9-stage Runge-Kutta methods   An 11-dimensional family of embedded (4, 5) pairs of explicit 9-stage
Runge-Kutta methods with an interpolant of order 5 is derived. Two optimized
for efficiency pairs are presented.

6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th