Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Boundary conditions in linearized harmonic gravity   We investigate the initial-boundary value problem for linearized
gravitational theory in harmonic coordinates. Rigorous techniques for
hyperbolic systems are applied to establish well-posedness for various
reductions of the system into a set of six wave equations. The results are used
to formulate computational algorithms for Cauchy evolution in a 3-dimensional
bounded domain. Numerical codes based upon these algorithms are shown to
satisfy tests of robust stability for random constraint violating initial data
and random boundary data; and shown to give excellent performance for the
evolution of typical physical data. The results are obtained for plane
boundaries as well as piecewise cubic spherical boundaries cut out of a
Cartesian grid.

15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
2
The categories of this paper are: math
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ