  The radiative transfer equation (RTE) arises in many different areas of
science and engineering. In this paper, we propose and investigate a
discrete-ordinate discontinuous-streamline diffusion (DODSD) method for solving
the RTE, which is a combination of the discrete-ordinate technique and the
discontinuous-streamline diffusion method. Different from the discrete-ordinate
discontinuous Galerkin (DODG) method for the RTE, an artificial diffusion
parameter is added to the test functions in the spatial discretization.
Stability and error estimates in certain norms are proved. Numerical results
show that the proposed method can lead to a more accurate approximation in
comparison with the DODG method.
