Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Numerical stochastic homogenization by quasilocal effective diffusion
  tensors   This paper proposes a numerical upscaling procedure for elliptic boundary
value problems with diffusion tensors that vary randomly on small scales. The
resulting effective deterministic model is given through a quasilocal discrete
integral operator, which can be further compressed to an effective partial
differential operator. Error estimates consisting of a priori and a posteriori
terms are provided that allow one to quantify the impact of uncertainty in the
diffusion coefficient on the expected effective response of the process.

3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph