Efficient and accurate numerical methods for the Klein–Gordon–Schrödinger equations

Journal of Computational Physics ◽

10.1016/j.jcp.2007.02.018 ◽

2007 ◽

Vol 225 (2) ◽

pp. 1863-1893 ◽

Author(s):

Weizhu Bao ◽

Li Yang

Keyword(s):

Numerical Methods ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

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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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Global existence and uniform decay for the coupled Klein–Gordon–Schrödinger equations with non-linear boundary damping and memory term

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.673 ◽

2006 ◽

Vol 29 (9) ◽

pp. 947-964 ◽

Author(s):

Jong Yeoul Park ◽

Joung Ae Kim

Keyword(s):

Global Existence ◽

Memory Term ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Linear Boundary ◽

Uniform Decay ◽

Boundary Damping ◽

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Random attractors for stochastic discrete Klein–Gordon–Schrödinger equations

Physics Letters A ◽

10.1016/j.physleta.2009.02.019 ◽

2009 ◽

Vol 373 (14) ◽

pp. 1268-1275 ◽

Author(s):

Weiping Yan ◽

Shuguan Ji ◽

Yong Li

Keyword(s):

Schrodinger Equations ◽

Schrödinger Equations ◽

Random Attractors ◽

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Remarks on the energy scattering for nonlinear Klein-Gordon and Schrödinger equations

Tohoku Mathematical Journal ◽

10.2748/tmj/1178207482 ◽

2001 ◽

Vol 53 (2) ◽

pp. 285-303 ◽

Author(s):

Kenji Nakanishi

Keyword(s):

Schrodinger Equations ◽

Schrödinger Equations ◽

Energy Scattering ◽

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Uniformly accurate numerical schemes for highly oscillatory Klein–Gordon and nonlinear Schrödinger equations

Numerische Mathematik ◽

10.1007/s00211-014-0638-9 ◽

2014 ◽

Vol 129 (2) ◽

pp. 211-250 ◽

Author(s):

Philippe Chartier ◽

Nicolas Crouseilles ◽

Mohammed Lemou ◽

Florian Méhats

Keyword(s):

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Numerical Schemes ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Klein Gordon ◽

Highly Oscillatory

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