Instability of the finite-difference split-step method applied to the nonlinear Schrödinger equation. I. standing soliton-Reference-Cited by-同舟云学术

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Instability of the finite-difference split-step method applied to the nonlinear Schrödinger equation. I. standing soliton

Published:2015-12-21 Issue:3 Volume:32 Page:1002-1023
ISSN:0749-159X
Container-title:Numerical Methods for Partial Differential Equations
language:en
Short-container-title:Numer. Methods Partial Differential Eq.

Author:

Lakoba Taras I.¹

Affiliation:

1. Department of Mathematics and Statistics; University of Vermont; Burlington Vermont 05401

Funder

NSF

Publisher

Wiley

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis,Analysis

Reference28 articles.

1. Applications of the split-step Fourier method to the numerical soltion of nonlinear and variable coefficient wave equations;Hardin;SIAM Rev (Chronicle),1973

2. An efficient and spectrally accurate numerical method for computing dynamics of rotating Bose-Einstein condensates;Bao;J Comput Phys,2006

3. Exponential split operator methods for solving coupled time-dependent Schrödinger equations;Bandrauk;J Chem Phys,1993

4. Analysis of operator splitting for advection-reaction-diffusion problems from air pollution modelling;Lanser;J Comp Appl Math,1999

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Long-Time Simulations of Nonlinear Schrödinger-Type Equations using Step Size Exceeding Threshold of Numerical Instability;Journal of Scientific Computing;2016-12-31

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