A new implicit numerical method (INM) and two solution techniques for improving the order of convergence of the INM for solving the ASub-DE are proposed. The stability and convergence of the INM are ...

Numerical stability when integrating plane waves of cubic Schrödinger equation is thoroughly analysed for some explicit exponential methods. We center on the following secondorder methods: Strang ...

Techniques for analyzing periodic finite difference methods including von Neumann, energy and CFL / domain of dependence techniques. Finite difference methods for parabolic problems in one space ...

Numerical methods are thus both essential and powerful for predicting the performance of photonic devices. The goal of this class is to enable students to create their own tools customized to specific ...