We present several numerical methods and establish their error estimates for the
discretization of the nonlinear Dirac equation (NLDE) in the nonrelativistic limit regime …

This paper presents a review of the current state-of-the-art of numerical methods for
nonlinear Dirac (NLD) equation. Several methods are extendedly proposed for the (1+ 1) …

We analyze rigorously error estimates and compare numerically spatial/temporal resolution
of various numerical methods for the discretization of the Dirac equation in the nonrelativistic …