Boundary Value Problems and Multiscale Coupling Methods for Kinetic Equations

Uniform Convergent Numerical Method for the Linear Transport Equation Valid Up to the Boundaries and Interfaces

Min Tang

Shanghai Jiao Tong University


We discuss about the development of uniformly second order numerical methods for the discete-ordinate transport equation in one and two dimensions. The uniform convergence in the diffusive regime is valid up to the boundary and interface, even if the boundary or interface layers exist, so the boundary or interface layer does not need to be resolved numerically. Both isotropic and anisotropic scattering are investigated.