Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Localization errors in solving stochastic partial differential equations
  in the whole space   Cauchy problems with SPDEs on the whole space are localized to Cauchy
problems on a ball of radius $R$. This localization reduces various kinds of
spatial approximation schemes to finite dimensional problems. The error is
shown to be exponentially small. As an application, a numerical scheme is
presented which combines the localization and the space and time
discretisation, and thus is fully implementable.

28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
16
The categories of this paper are: stat
9
The categories of this paper are: nlin