Optimal Error Estimates of SAV Crank–Nicolson Finite Element Method for the Coupled Nonlinear Schrödinger Equation-Reference-Cited by-同舟云学术

Optimal Error Estimates of SAV Crank–Nicolson Finite Element Method for the Coupled Nonlinear Schrödinger Equation

Published:2023-11-06 Issue:3 Volume:97 Page:
ISSN:0885-7474
Container-title:Journal of Scientific Computing
language:en
Short-container-title:J Sci Comput

Author:

Li Dongfang^ORCID,Li Xiaoxi,Sun Hai-wei

Funder

National Natural Science Foundation of China

research grants of the Science and Technology Development Fund, Macau SAR

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,General Engineering,Theoretical Computer Science,Software,Applied Mathematics,Computational Mathematics,Numerical Analysis

Link

https://link.springer.com/content/pdf/10.1007/s10915-023-02384-2.pdf

Reference33 articles.

1. Aydın, A.: Multisymplectic integration of $$N$$-coupled nonlinear Schrödinger equation with destabilized periodic wave solutions. Chaos Solit. Fract. 41(2), 735–751 (2009)

2. Akrivis, G.D.: Finite difference discretization of the cubic Schrödinger equation. IMA J. Numer. Anal. 13(1), 115–124 (1993)

3. Akrivis, G.D., Dougalis, V.A., Karakashian, O.A.: On fully discrete Galerkin methods of second-order temporal accuracy for the nonlinear Schrödinger equation. Numer. Math. 59(1), 31–53 (1991)

4. Akrivis, G., Li, B., Li, D.: Energy-decaying extrapolated RK-SAV methods for the Allen-Cahn and Cahn-Hilliard equations. SIAM J. Sci. Comput. 41(6), A3703–A3727 (2019)

5. Akrivis, G., Li, D.: Structure-preserving Gauss methods for the nonlinear Schrödinger equation. Calcolo 58(2), 17 (2021)

Cited by 8 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. Direct/split invariant-preserving Fourier pseudo-spectral methods for the rotation-two-component Camassa–Holm system with peakon solitons;Computer Physics Communications;2024-09

2. Step-by-step solving virtual element schemes based on scalar auxiliary variable with relaxation for Allen–Cahn-type gradient flows;Mathematical Models and Methods in Applied Sciences;2024-08-31

3. Fully conservative difference schemes for the rotation-two-component Camassa–Holm system with smooth/nonsmooth initial data;Wave Motion;2024-08

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

5. A second-order linear and unconditional energy-stable scheme for Swift-Hohenberg equations;Applied Mathematics and Computation;2024-08