Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Convergence of a finite-volume scheme for a heat equation with a
  multiplicative Lipschitz noise   We study here the approximation by a finite-volume scheme of a heat equation
forced by a Lipschitz continuous multiplicative noise in the sense of It\^o.
More precisely, we consider a discretization which is semi-implicit in time and
a two-point flux approximation scheme (TPFA) in space. Since the nonlinearity
in the stochastic integral is not compatible with the weak convergence obtained
by the a priori estimates, we adapt the method based on the theorem of
Prokhorov and on Skorokhod's representation theorem in order to show
stochastically strong convergence of the scheme towards the unique variational
solution of our parabolic problem.

37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics