In this book, a new Generalized Discontinuous Galerkin (GDG) method for Schrodinger equations with nonsmooth solutions is proposed. The numerical method is based on a reformulation of Schrodinger equations, using split distributional variables and their related integration by parts formulae to account for solution jumps across material interfaces.
GDG can handle time dependent and general nonlinear jump conditions. And numerical results validate the high order accuracy and the flexibility of the method for various types of interface conditions. As one of GDGs application, a new vectorial...