On the L ∞ convergence of a conservative Fourier pseudo‐spectral method for the space fractional nonlinear Schrödinger equation

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22599 ◽

2020 ◽

Author(s):

Zhuangzhi Xu ◽

Wenjun Cai ◽

Chaolong Jiang ◽

Yushun Wang

Keyword(s):

Schrödinger Equation ◽

Spectral Method ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Pseudo Spectral Method ◽

Pseudo Spectral ◽

Fractional Nonlinear Schrödinger Equation

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Fourth-order split-step pseudo-spectral method for the modified nonlinear Schrödinger equation

Ships and Offshore Structures ◽

10.1080/17445302.2016.1172832 ◽

2016 ◽

Vol 12 (3) ◽

pp. 424-432 ◽

Cited By ~ 1

Author(s):

Wenyue Lu ◽

Jianmin Yang ◽

Xinliang Tian

Keyword(s):

Schrödinger Equation ◽

Spectral Method ◽

Nonlinear Schrödinger Equation ◽

Fourth Order ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Pseudo Spectral Method ◽

Pseudo Spectral

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Numerical solution of nonlinear Schrödinger equation by using time-space pseudo-spectral method

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20468 ◽

2009 ◽

Vol 26 (4) ◽

pp. 979-992 ◽

Cited By ~ 29

Author(s):

Mehdi Dehghan ◽

Ameneh Taleei

Keyword(s):

Schrödinger Equation ◽

Numerical Solution ◽

Spectral Method ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Time Space ◽

Pseudo Spectral Method ◽

Pseudo Spectral

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A conservative Fourier pseudo-spectral method for the nonlinear Schrödinger equation

Journal of Computational Physics ◽

10.1016/j.jcp.2016.10.022 ◽

2017 ◽

Vol 328 ◽

pp. 354-370 ◽

Cited By ~ 41

Author(s):

Yuezheng Gong ◽

Qi Wang ◽

Yushun Wang ◽

Jiaxiang Cai

Keyword(s):

Schrödinger Equation ◽

Spectral Method ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Pseudo Spectral Method ◽

Pseudo Spectral

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An efficient and accurate Fourier pseudo-spectral method for the nonlinear Schrödinger equation with wave operator

International Journal of Computer Mathematics ◽

10.1080/00207160.2020.1745785 ◽

2020 ◽

pp. 1-17

Author(s):

Shan Li ◽

Tingchun Wang ◽

Jialing Wang ◽

Boling Guo

Keyword(s):

Schrödinger Equation ◽

Spectral Method ◽

Nonlinear Schrödinger Equation ◽

Wave Operator ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Pseudo Spectral Method ◽

Pseudo Spectral

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Integrable discretization of nonlinear Schrödinger equation and its application with Fourier pseudo-spectral method

Numerical Algorithms ◽

10.1007/s11075-014-9928-7 ◽

2014 ◽

Vol 69 (4) ◽

pp. 839-862 ◽

Cited By ~ 1

Author(s):

Y. Zhang ◽

X. B. Hu ◽

H. W. Tam

Keyword(s):

Schrödinger Equation ◽

Spectral Method ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Integrable Discretization ◽

Pseudo Spectral Method ◽

Pseudo Spectral

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Optimal error estimate of a conformal Fourier pseudo-spectral method for the damped nonlinear Schrödinger equation

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22264 ◽

2018 ◽

Vol 34 (4) ◽

pp. 1422-1454 ◽

Cited By ~ 5

Author(s):

Chaolong Jiang ◽

Wenjun Cai ◽

Yushun Wang

Keyword(s):

Schrödinger Equation ◽

Error Estimate ◽

Spectral Method ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Optimal Error Estimate ◽

Optimal Error ◽

Pseudo Spectral Method ◽

Pseudo Spectral

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A structure-preserving Fourier pseudo-spectral linearly implicit scheme for the space-fractional nonlinear Schrödinger equation

Journal of Computational Dynamics ◽

10.3934/jcd.2019018 ◽

2019 ◽

Vol 6 (2) ◽

pp. 361-383

Author(s):

Yuto Miyatake ◽

◽

Tai Nakagawa ◽

Tomohiro Sogabe ◽

Shao-Liang Zhang ◽

...

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Implicit Scheme ◽

Structure Preserving ◽

Nonlinear Schrödinger ◽

Pseudo Spectral ◽

Fractional Nonlinear Schrödinger Equation

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Multi-peak solutions to fractional nonlinear Schrödinger equation with general nonlinearity

Complex Variables and Elliptic Equations ◽

10.1080/17476933.2021.1900138 ◽

2021 ◽

pp. 1-26

Author(s):

Xudong Shang ◽

Pei Ma ◽

Jihui Zhang

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

General Nonlinearity ◽

Fractional Nonlinear Schrödinger Equation

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A Fast Conservative Scheme for the Space Fractional Nonlinear Schrödinger Equation with Wave Operator

Journal of Mathematical Study ◽

10.4208/jms.v54n4.21.06 ◽

2021 ◽

Vol 54 (4) ◽

pp. 407-426

Author(s):

MustafaAlmushaira & FeiLiu

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Wave Operator ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Conservative Scheme ◽

Nonlinear Schrödinger ◽

Fractional Nonlinear Schrödinger Equation

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Global existence and blowup on the energy space for the inhomogeneous fractional nonlinear Schrödinger equation

Discrete & Continuous Dynamical Systems - B ◽

10.3934/dcdsb.2018323 ◽

2019 ◽

Vol 24 (7) ◽

pp. 3335-3356 ◽

Cited By ~ 1

Author(s):

Congming Peng ◽

◽

Dun Zhao ◽

Keyword(s):

Global Existence ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Energy Space ◽

Nonlinear Schrödinger ◽

Fractional Nonlinear Schrödinger Equation

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