Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Causal differencing of flux-conservative equations applied to black hole
  spacetimes   We give a general scheme for finite-differencing partial differential
equations in flux-conservative form to second order, with a stencil that can be
arbitrarily tilted with respect to the numerical grid, parameterized by a
"tilt" vector field gamma^A. This can be used to center the numerical stencil
on the physical light cone, by setting gamma^A = beta^A, where beta^A is the
usual shift vector in the 3+1 split of spacetime, but other choices of the tilt
may also be useful. We apply this "causal differencing" algorithm to the
Bona-Masso equations, a hyperbolic and flux-conservative form of the Einstein
equations, and demonstrate long term stable causally correct evolutions of
single black hole systems in spherical symmetry.

23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
2
The categories of this paper are: math
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga