Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On properties of an explicit in time fourth-order vector compact scheme
  for the multidimensional wave equation   An initial-boundary value problem for the $n$-dimensional wave equation is
considered. A three-level explicit in time and conditionally stable 4th-order
compact scheme constructed recently for $n=2$ and the square mesh is
generalized to the case of any $n\geq 1$ and the rectangular uniform mesh.
Another approach to approximate the solution at the first time level (not
exploiting high-order derivatives of the initial functions) is suggested. New
stability bounds in the mesh energy norms and the discrete energy conservation
laws are given, and the 4th order error bound is rigorously proved.
Generalizations to the cases of the non-uniform meshes in space and time as
well as of the wave equation with variable coefficients are suggested.

16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol