A convergence analysis is provided for the multigroup, discrete-ordinates method used to numerically solve the linear transport equation for anisotropically scattering, subcritical slab media.
We show that the approximation given by the original discontinuous Galerkin method for the transport- reaction equation in d space dimensions is optimal provided the ...
The Euler equation of gas dynamics are frequently used in engineering, meteorology and fluid dynamics. Recent theoretical results imply that the Euler equations are ill-posed in the class of weak ...