Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Splitting schemes for the semi-linear wave equation with dynamic
  boundary conditions   This paper introduces novel splitting schemes of first and second order for
the wave equation with kinetic and acoustic boundary conditions of semi-linear
type. For kinetic boundary conditions, we propose a reinterpretation of the
system equations as a coupled system. This means that the bulk and surface
dynamics are modeled separately and connected through a coupling constraint.
This allows the implementation of splitting schemes, which show first-order
convergence in numerical experiments. On the other hand, acoustic boundary
conditions naturally separate bulk and surface dynamics. Here, Lie and Strang
splitting schemes reach first- and second-order convergence, respectively, as
we reveal numerically.

22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con