Conservative Fourier pseudo-spectral schemes for general Klein–Gordon–Schrödinger equations

International Journal of Computer Mathematics ◽

10.1080/00207160.2019.1616178 ◽

2019 ◽

Vol 97 (6) ◽

pp. 1339-1362

Author(s):

Junjie Wang ◽

Shanshan Cai ◽

Yonggen Ni

Keyword(s):

Schrodinger Equations ◽

Schrödinger Equations ◽

Klein Gordon ◽

Pseudo Spectral

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Multisymplectic Fourier pseudo-spectral integrators for Klein-Gordon-Schrödinger equations

Science China Mathematics ◽

10.1007/s11425-013-4575-3 ◽

2013 ◽

Vol 56 (5) ◽

pp. 915-932 ◽

Author(s):

LingHua Kong ◽

Lan Wang ◽

ShanShan Jiang ◽

YaLi Duan

Keyword(s):

Schrodinger Equations ◽

Schrödinger Equations ◽

Klein Gordon ◽

Pseudo Spectral

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A dissipative finite difference Fourier pseudo-spectral method for the Klein-Gordon-Schrödinger equations with damping mechanism

Applied Mathematics and Computation ◽

10.1016/j.amc.2020.125148 ◽

2020 ◽

Vol 376 ◽

pp. 125148 ◽

Author(s):

Bingquan Ji ◽

Luming Zhang

Keyword(s):

Finite Difference ◽

Spectral Method ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Klein Gordon ◽

Difference Fourier ◽

Pseudo Spectral Method ◽

Pseudo Spectral

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Optimal error estimate of a linear Fourier pseudo-spectral scheme for two dimensional Klein–Gordon–Schrödinger equations

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2018.08.045 ◽

2018 ◽

Vol 468 (2) ◽

pp. 817-838 ◽

Author(s):

Qi Hong ◽

Yushun Wang ◽

Jialing Wang

Keyword(s):

Error Estimate ◽

Optimal Error Estimate ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Two Dimensional ◽

Optimal Error ◽

Klein Gordon ◽

Pseudo Spectral

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Semi-explicit symplectic partitioned Runge–Kutta Fourier pseudo-spectral scheme for Klein–Gordon–Schrödinger equations

Computer Physics Communications ◽

10.1016/j.cpc.2010.04.003 ◽

2010 ◽

Vol 181 (8) ◽

pp. 1369-1377 ◽

Author(s):

Linghua Kong ◽

Jingjing Zhang ◽

Ying Cao ◽

Yali Duan ◽

Hong Huang

Keyword(s):

Schrodinger Equations ◽

Schrödinger Equations ◽

Klein Gordon ◽

Runge Kutta ◽

Pseudo Spectral

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Pullback attractors and invariant measures for discrete Klein-Gordon-Schrödinger equations

Discrete & Continuous Dynamical Systems - B ◽

10.3934/dcdsb.2018122 ◽

2018 ◽

Vol 23 (9) ◽

pp. 4021-4044

Author(s):

Caidi Zhao ◽

◽

Gang Xue ◽

Grzegorz Łukaszewicz ◽

Keyword(s):

Invariant Measures ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Pullback Attractors ◽

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Schrödinger limit of weakly dissipative stochastic Klein--Gordon--Schrödinger equations and large deviations

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2014.34.2795 ◽

2014 ◽

Vol 34 (7) ◽

pp. 2795-2818

Author(s):

Boling Guo ◽

◽

Yan Lv ◽

Wei Wang ◽

◽

...

Keyword(s):

Large Deviations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

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Improved energy spectra of the Klein–Gordon and Schrödinger equations under the Tietz potential by WKB and super-symmetric WKB methods

Molecular Physics ◽

10.1080/00268976.2021.1970265 ◽

2021 ◽

pp. e1970265

Author(s):

E. Omugbe ◽

O. E. Osafile ◽

I. B. Okon

Keyword(s):

Energy Spectra ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Klein Gordon ◽

Tietz Potential

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Exponential stability for the coupled Klein–Gordon–Schrödinger equations with locally distributed damping in unbounded domains

Asymptotic Analysis ◽

10.3233/asy-201634 ◽

2020 ◽

pp. 1-27

Author(s):

Claudete M. Webler ◽

Janaina P. Zanchetta

Keyword(s):

Exponential Stability ◽

Unbounded Domains ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

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A linear, symmetric and energy-conservative scheme for the space-fractional Klein–Gordon–Schrödinger equations

Applied Mathematics Letters ◽

10.1016/j.aml.2019.03.032 ◽

2019 ◽

Vol 95 ◽

pp. 104-113 ◽

Author(s):

Ying Wang ◽

Qi Li ◽

Liquan Mei

Keyword(s):

Schrodinger Equations ◽

Schrödinger Equations ◽

Conservative Scheme ◽

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Convergence of a high-order compact finite difference scheme for the Klein-Gordon-Schrödinger equations

Applied Numerical Mathematics ◽

10.1016/j.apnum.2019.03.004 ◽

2019 ◽

Vol 143 ◽

pp. 133-145 ◽

Author(s):

Juan Chen ◽

Fangqi Chen

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Compact Finite Difference Scheme ◽

Compact Finite Difference ◽

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