Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Energy conservative SBP discretizations of the acoustic wave equation in
  covariant form on staggered curvilinear grids   We develop a numerical method for solving the acoustic wave equation in
covariant form on staggered curvilinear grids in an energy conserving manner.
The use of a covariant basis decomposition leads to a rotationally invariant
scheme that outperforms a Cartesian basis decomposition on rotated grids. The
discretization is based on high order Summation-By-Parts (SBP) operators and
preserves both symmetry and positive definiteness of the contravariant metric
tensor. To improve accuracy and decrease computational cost, we also derive a
modified discretization of the metric tensor that leads to a conditionally
stable discretization. Bounds are derived that yield a point-wise condition
that can be evaluated to check for stability of the modified discretization.
This condition shows that the interpolation operators should be constructed
such that their norm is close to one.

5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an