Mass- and energy-conserving Gauss collocation methods for the nonlinear Schrödinger equation with a wave operator-Reference-Cited by-同舟云学术

Mass- and energy-conserving Gauss collocation methods for the nonlinear Schrödinger equation with a wave operator

Published:2023-10-23 Issue:6 Volume:49 Page:
ISSN:1019-7168
Container-title:Advances in Computational Mathematics
language:en
Short-container-title:Adv Comput Math

Author:

Ma Shu,Wang Jilu,Zhang Mingyan,Zhang Zhimin

Funder

National Natural Science Foundation of China

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s10444-023-10077-5.pdf

Reference43 articles.

1. Berge, L., Colin, T.: Un problème de perturbation singulière pour une équation d’eveloppe en physique des plasmas. Comptes rendus de l’Academie des sciences. Série 1, Mathématique. 320(1), 31–34 (1999)

2. Bao, W., Dong, X., Xin, J.: Comparisons between sine-Gordon and perturbed nonlinear Schrödinger equations for modeling light bullets beyond critical collapse. Physica D 239(13), 1120–1134 (2010)

3. Tsutsumi, M.: Nonrelativistic approximation of nonlinear Klein-Gordon equations in two space dimensions. Nonlinear Analysis: Theory, Methods & Applications. 8(6), 637–643 (1984)

4. Fei, Z., Pérez-García, V.M., Vázquez, L.: Numerical simulation of nonlinear Schrödinger systems: a new conservative scheme. Appl. Math. Comput. 71(2–3), 165–177 (1995)

5. Delfour, M., Fortin, M., Payr, G.: Finite-difference solutions of a non-linear Schrödinger equation. J. Comput. Phys. 44(2), 277–288 (1981)

Cited by 2 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. Improved error bounds on a time splitting method for the nonlinear Schrödinger equation with wave operator;Numerical Methods for Partial Differential Equations;2024-08-12

2. Recent advances in the numerical solution of the Nonlinear Schrödinger Equation;Journal of Computational and Applied Mathematics;2024-08