Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A conservative and energy stable discontinuous spectral element method
  for the shifted wave equation in second order form   In this paper, we develop a provably energy stable and conservative
discontinuous spectral element method for the shifted wave equation in second
order form. The proposed method combines the advantages and central ideas of
very successful numerical techniques, the summation-by-parts finite difference
method, the spectral method and the discontinuous Galerkin method. We prove
energy-stability, discrete conservation principle, and derive error estimates
in the energy norm for the (1+1)-dimensions shifted wave equation in second
order form. The energy-stability results, discrete conservation principle, and
the error estimates generalise to multiple dimensions using tensor products of
quadrilateral and hexahedral elements. Numerical experiments, in
(1+1)-dimensions and (2+1)-dimensions, verify the theoretical results and
demonstrate optimal convergence of $L^2$ numerical errors at subsonic, sonic
and supersonic regimes.

17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio