Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Convergence of a stochastic collocation finite volume method for the
  compressible Navier-Stokes system   We propose a stochastic collocation method based on the piecewise constant
interpolation on the probability space combined with a finite volume method to
solve the compressible Navier-Stokes system at the nodal points. We show
convergence of numerical solutions to a statistical solution of the
Navier-Stokes system on condition that the numerical solutions are bounded in
probability. The analysis uses the stochastic compactness method based on the
Skorokhod/Jakubowski representation theorem and the criterion of convergence in
probability due to Gy\"ongy and Krylov.

25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci