@Article{CiCP-26-5,
author = {Xiaobing, Feng and Liu, Hailiang and Shu, Ma},
title = {Mass- and Energy-Conserved Numerical Schemes for Nonlinear Schrödinger Equations},
journal = {Communications in Computational Physics},
year = {2019},
volume = {26},
number = {5},
pages = {1365--1396},
abstract = {<p style="text-align: justify;">n this paper, we propose a family of time-stepping schemes for approximating general nonlinear Schrödinger equations. The proposed schemes all satisfy both
mass and energy conservation (in a modified form for the latter). Truncation and dispersion error analyses are provided for four proposed schemes. Efficient fixed-point
iterative solvers are also constructed to solve the resulting nonlinear discrete problems.
As a byproduct, an efficient one-step implementation of the BDF schemes is obtained
as well. Extensive numerical experiments are presented to demonstrate the convergence and the capability of capturing the blow-up time of the proposed schemes.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.2019.js60.05},
url = {https://global-sci.com/article/79862/mass-and-energy-conserved-numerical-schemes-for-nonlinear-schrodinger-equations}
}