Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Uniform weak error estimates for an asymptotic preserving scheme applied
  to a class of slow-fast parabolic semilinear SPDEs   We study an asymptotic preserving scheme for the temporal discretization of a
system of parabolic semilinear SPDEs with two time scales. Owing to the
averaging principle, when the time scale separation $\epsilon$ vanishes, the
slow component converges to the solution of a limiting evolution equation,
which is captured when the time-step size $\Delta t$ vanishes by a limiting
scheme. The objective of this work is to prove weak error estimates which are
uniform with respect to $\epsilon$, in terms of $\Delta t$: the scheme
satisfies a uniform accuracy property. This is a non trivial generalization of
a recent article in an infinite dimensional framework. The fast component is
discretized using the modified Euler scheme for SPDEs introduced in a recent
work. Proving the weak error estimates requires delicate analysis of the
regularity properties of solutions of infinite dimensional Kolmogorov
equations.

4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom