Publisher's Synopsis
The study of nonlinear dispersive waves has been important for at least 100 years, but to date, few works exist that focus on the numerical solution of the problem. This Research Note describes and analyzes various numerical techniques for the nonlinear Schrödinger equation ranging from finite difference to spectral methods. The author points out some of the pitfalls associated with these methods, suggests ways of avoiding them, and explains when and why spectral methods are useful. Although the discussions center on the nonlinear Schrödinger equation, much of the material is relevant to nonlinear dispersive waves in general.
