On the numerical solution and dynamical laws of nonlinear fractional Schroedinger/Gross-Pitaevskii equations

摘要

The purpose of this paper is to discuss some recent developments concerning the numerical simulation of space and time fractional Schrodinger and Gross-Pitaevskii equations. In particular, we address some questions related to the discretization of the models (order of accuracy and fast implementation) and clarify some of their dynamical properties. Some numerical simulations illustrate these points.