Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotic preserving schemes for the FitzHugh-Nagumo transport equation
  with strong local interactions   This paper is devoted to the numerical approximation of the
spatially-extended FitzHugh-Nagumo transport equation with strong local
interactions based on a particle method. In this regime, the time step can be
subject to stability constraints related to the interaction kernel. To avoid
this limitation, our approach is based on higher-order implicit-explicit
numerical schemes. Thus, when the magnitude of the interactions becomes large,
this method provides a consistent discretization of the macroscopic
reaction-diffusion FitzHugh-Nagumo system. We carry out some theoretical proofs
and perform several numerical experiments that establish a solid validation of
the method and its underlying concepts.

34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga