Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analytical discrete ordinates for the three-dimensional radiative
  radiative equation in the half space   In one-dimensional transport theory, the method of analytical discrete
ordinates (ADO) is known to be a concise and fast numerical scheme to solve the
radiative transport equation. However, the extension of ADO to three dimensions
has been restricted to the case of isotropic scattering. In this paper, we
extend ADO to the case of the three-dimensional radiative transport equation
with anisotropic scattering. This extension is made possible by the technique
of rotated reference frames. The radiative transport equation with constant
absorption and scattering coefficients in the half space is solved by the
extended ADO in three dimensions. Moreover, we show that even an analytical
solution in the half space is obtained by extending the singular eigenfunction
approach with rotated reference frames.

27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
3
The categories of this paper are: physics
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn