Numerical studies on the split-step finite difference method for nonlinear Schrödinger equations
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- 1 November 2005
- journal article
- Published by Elsevier BV in Applied Mathematics and Computation
- Vol. 170 (1), 17-35
- https://doi.org/10.1016/j.amc.2004.10.066
Abstract
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This publication has 17 references indexed in Scilit:
- Bose–Einstein condensation dynamics in three dimensions by the pseudospectral and finite-difference methodsJournal of Physics B: Atomic, Molecular and Optical Physics, 2003
- Numerical solution of the Gross–Pitaevskii equation for Bose–Einstein condensationJournal of Computational Physics, 2003
- Spectral method for the time-dependent Gross-Pitaevskii equation with a harmonic trapPhysical Review E, 2003
- Stability of exact solutions of the defocusing nonlinear Schrödinger equation with periodic potential in two dimensionsPhysics Letters A, 2001
- Numerical solution of the Gross-Pitaevskii equation using an explicit finite-difference scheme: An application to trapped Bose-Einstein condensatesPhysical Review E, 2000
- Difference Schemes for Solving the Generalized Nonlinear Schrödinger EquationJournal of Computational Physics, 1999
- High-order split-step exponential methods for solving coupled nonlinear Schrodinger equationsJournal of Physics A: General Physics, 1994
- B-spline finite element studies of the non-linear Schrödinger equationComputer Methods in Applied Mechanics and Engineering, 1993
- Construction of higher order symplectic integratorsPhysics Letters A, 1990
- Numerical simulation of singular solutions to the two‐dimensional cubic schrödinger equationCommunications on Pure and Applied Mathematics, 1984