Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An Operator-Based Local Discontinuous Galerkin Method Compatible With
  the BSSN Formulation of the Einstein Equations   Discontinuous Galerkin Finite Element (DGFE) methods offer a mathematically
beautiful, computationally efficient, and efficiently parallelizable way to
solve hyperbolic partial differential equations. These properties make them
highly desirable for numerical calculations in relativistic astrophysics and
many other fields. The BSSN formulation of the Einstein equations has
repeatedly demonstrated its robustness. The formulation is not only stable but
allows for puncture-type evolutions of black hole systems. To-date no one has
been able to solve the full (3+1)-dimensional BSSN equations using DGFE
methods. This is partly because DGFE discretization often occurs at the level
of the equations, not the derivative operator, and partly because DGFE methods
are traditionally formulated for manifestly flux-conservative systems. By
discretizing the derivative operator, we generalize a particular flavor of DGFE
methods, Local DG methods, to solve arbitrary second-order hyperbolic
equations. Because we discretize at the level of the derivative operator, our
method can be interpreted as either a DGFE method or as a finite differences
stencil with non-constant coefficients.

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The categories of this paper are: stat
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The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
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The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
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The categories of this paper are: comp-gas
2
The categories of this paper are: math
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-lat
1
The categories of this paper are: cs