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 ◽

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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Optimal error estimate of a compact scheme for nonlinear Schrödinger equation

Applied Numerical Mathematics ◽

10.1016/j.apnum.2017.05.004 ◽

2017 ◽

Vol 120 ◽

pp. 68-81 ◽

Author(s):

Jialin Hong ◽

Lihai Ji ◽

Linghua Kong ◽

Tingchun Wang

Keyword(s):

Schrödinger Equation ◽

Error Estimate ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Compact Scheme ◽

Optimal Error Estimate ◽

Optimal Error ◽

Nonlinear Schrödinger

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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 ◽

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 ◽

Author(s):

Mehdi Dehghan ◽

Ameneh Taleei

Keyword(s):

Schrödinger Equation ◽

Numerical Solution ◽

Spectral Method ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

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 ◽

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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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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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 ◽

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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Analysis of a Chebyshev-type pseudo-spectral scheme for the nonlinear Schrödinger equation

Applied Mathematics and Computation ◽

10.1016/j.amc.2017.03.005 ◽

2017 ◽

Vol 307 ◽

pp. 271-289 ◽

Author(s):

Sergey Shindin ◽

Nabendra Parumasur ◽

Saieshan Govinder

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Pseudo Spectral

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Optimal error estimate of conservative local discontinuous Galerkin method for nonlinear Schrödinger equation

Applied Numerical Mathematics ◽

10.1016/j.apnum.2018.01.004 ◽

2018 ◽

Vol 127 ◽

pp. 164-178 ◽

Author(s):

Jialin Hong ◽

Lihai Ji ◽

Zhihui Liu

Keyword(s):

Error Estimate ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Schrodinger Equation ◽

Local Discontinuous Galerkin Method ◽

Nonlinear Schrodinger Equation ◽

Optimal Error Estimate ◽

Optimal Error ◽

Local Discontinuous Galerkin

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Uniform and Optimal Error Estimates of an Exponential Wave Integrator Sine Pseudospectral Method for the Nonlinear Schrödinger Equation with Wave Operator

SIAM Journal on Numerical Analysis ◽

10.1137/120866890 ◽

2014 ◽

Vol 52 (3) ◽

pp. 1103-1127 ◽

Author(s):

Weizhu Bao ◽

Yongyong Cai

Keyword(s):

Schrödinger Equation ◽

Error Estimates ◽

Nonlinear Schrödinger Equation ◽

Wave Operator ◽

Schrodinger Equation ◽

Pseudospectral Method ◽

Nonlinear Schrodinger Equation ◽

Optimal Error Estimates ◽

Optimal Error ◽

Exponential Wave Integrator

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