Boundary Value Problems and Multiscale Coupling Methods for Kinetic Equations

Solving linear half-space kinetic equations with general boundary conditions

Jianfeng Lu

Duke University

In this talk, we will discuss some recent progress on efficient methods for solving linear / linearized half-space kinetic equations. The spectral method we recently developed relies on the ideas of even-odd decomposition and damping adding/removal. The method works for a large class of equations with general boundary conditions. If time permits, we will also discuss possible extensions and difficulties for higher dimensions. (Joint with Qin Li and Weiran Sun)