Pseudo-spectral solution of nonlinear Schro¨dinger equations

On time-splitting spectral approximations for the Schrödinger equation in the semiclassical regime

Journal of Computational Physics

Numerical simulation of a generalized Zakharov system

Journal of Computational Physics

Higher-order split-step Fourier schemes for the generalized nonlinear Schrödinger equation

Mathematics and Computers in Simulation

Local discontinuous Galerkin methods for nonlinear Schrödinger equations

Journal of Computational Physics

Local spectral time splitting method for first- and second-order partial differential equations

Journal of Computational Physics

A Time-Splitting Spectral Method for the Generalized Zakharov System in Multi-Dimensions

Journal of Scientific Computing

A perfectly matched layer approach to the nonlinear Schrödinger wave equations

Journal of Computational Physics

Spectral splitting method for nonlinear Schrödinger equations with singular potential

Journal of Computational Physics

Fast Gaussian wavepacket transforms and Gaussian beams for the Schrödinger equation

Journal of Computational Physics

The backward phase flow and FBI-transform-based Eulerian Gaussian beams for the Schrödinger equation

Journal of Computational Physics

Original article: Time-dependent simulations of quantum waveguides using a time-splitting spectral method

Mathematics and Computers in Simulation

Fourth-order alternating direction implicit compact finite difference schemes for two-dimensional Schrödinger equations

Applied Numerical Mathematics

The Gaussian wave packet transform: Efficient computation of the semi-classical limit of the Schrödinger equation. Part 1 - Formulation and the one dimensional case

Journal of Computational Physics

A time-splitting pseudospectral method for the solution of the Gross-Pitaevskii equations using spherical harmonics with generalised-Laguerre basis functions

Journal of Computational Physics