Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A fully local hybridised second-order accurate scheme for
  advection-diffusion equations   In this paper, we present a fully local second-order upwind scheme,
applicable on generic meshes. This is done by hybridisation, which is achieved
by introducing unknowns on each edge of the mesh. By doing so, fluxes only
depend on values associated to a single cell, and thus, this scheme can easily
be applied even on cells near the boundary of the domain. Another advantage of
hybridised schemes is that static condensation can be employed, leading to a
very efficient implementation. A convergence analysis, which also covers a
flux-limited TVD variant of the scheme, is then presented. Numerical results
are also given in order to compare this with a hybridised first-order upwind
scheme and a classical cell-centered second-order upwind type scheme.

4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn