PIMS-SFU CSC Seminar: Li Wang

For linear transport equation with diffusive scaling, classical diffusion may fail when the diffusion matrix becomes unbounded, which can be attributed to two reasons. One comes from the heavy tail equilibrium and the other is due to the degenerate collision frequency. In this talk we present asymptotic preserving schemes for both cases. The former one relies on a micro-macro decomposition along with a body-tail decomposition, and the latter one takes a special care in integrating a singular function.