Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A sparse grid discrete ordinate discontinuous Galerkin method for the
  radiative transfer equation   The radiative transfer equation is a fundamental equation in transport theory
and applications, which is a 5-dimensional PDE in the stationary one-velocity
case, leading to great difficulties in numerical simulation. To tackle this
bottleneck, we first use the discrete ordinate technique to discretize the
scattering term, an integral with respect to the angular variables, resulting
in a semi-discrete hyperbolic system. Then, we make the spatial discretization
by means of the discontinuous Galerkin (DG) method combined with the sparse
grid method. The final linear system is solved by the block Gauss-Seidal
iteration method. The computational complexity and error analysis are developed
in detail, which show the new method is more efficient than the original
discrete ordinate DG method. A series of numerical results are performed to
validate the convergence behavior and effectiveness of the proposed method.

7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an