Numerical simulation of nonlinear Schro¨dinger systems: a new conservative scheme

Linearly implicit methods for the nonlinear Schrödinger equation in nonhomogeneous media

Applied Mathematics and Computation

Globally conservative properties and error estimation of a multi-symplectic scheme for Schrödinger equations with variable coefficients

Applied Numerical Mathematics

Exact nonreflecting boundary conditions for one-dimensional cubic nonlinear Schrödinger equations

Journal of Computational Physics

New conservation schemes for the nonlinear Schrödinger equation

Applied Mathematics and Computation

A linearly implicit conservative scheme for the coupled nonlinear Schrödinger equation

Mathematics and Computers in Simulation

Spectral splitting method for nonlinear Schrödinger equations with singular potential

Journal of Computational Physics

New second-and fourth-order accurate numerical schemes for the nonlinear cubic Schrödinger equation

International Journal of Computer Mathematics - Celebrating the Life of David J. Evans

Numerical simulation of a nonlinearly coupled Schrödinger system: A linearly uncoupled finite difference scheme

Mathematics and Computers in Simulation

Analysis of a symplectic difference scheme for a coupled nonlinear Schrödinger system

Journal of Computational and Applied Mathematics

Globally conservative properties and error estimation of a multi-symplectic scheme for Schrödinger equations with variable coefficients

Applied Numerical Mathematics

Simulation of coherent structures in nonlinear Schrödinger-type equations

Journal of Computational Physics

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

Applied Numerical Mathematics

A non-standard symmetry-preserving method to compute bounded solutions of a generalized Newell-Whitehead-Segel equation

Applied Numerical Mathematics

Discrete-time orthogonal spline collocation methods for the nonlinear Schrödinger equation with wave operator

Journal of Computational and Applied Mathematics

A General Framework for Deriving Integral Preserving Numerical Methods for PDEs

SIAM Journal on Scientific Computing

Revertible and symplectic methods for the Ablowitz-Ladik discrete nonlinear Schrödinger equation

Proceedings of the 2011 Grand Challenges on Modeling and Simulation Conference

Optimal Point-Wise Error Estimate of a Compact Difference Scheme for the Coupled Gross---Pitaevskii Equations in One Dimension

Journal of Scientific Computing