Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On numerical averaging of the conductivity coefficient using two-scale
  extensions   In this article we compare solutions to elliptic problems having rapidly
oscillated conductivity (permeability, etc) coefficient with solutions to
corresponding homogenized problems obtained from two-scale extensions of the
initial coefficient. The comparison is done numerically on several one and two
dimensional test problems with randomly generated coefficients for different
intensities of oscillation. The dependency of the approximation error on the
size of averaging is investigated.

11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph