A Review on Stochastic Multi-symplectic Methods for Stochastic Maxwell Equations

Communications on Applied Mathematics and Computation ◽

10.1007/s42967-019-00017-w ◽

2019 ◽

Vol 1 (3) ◽

pp. 467-501

Author(s):

Liying Zhang ◽

Chuchu Chen ◽

Jialin Hong ◽

Lihai Ji

Keyword(s):

Maxwell Equations ◽

Symplectic Methods ◽

Stochastic Maxwell Equations

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Preservation of physical properties of stochastic Maxwell equations with additive noise via stochastic multi-symplectic methods

Journal of Computational Physics ◽

10.1016/j.jcp.2015.11.052 ◽

2016 ◽

Vol 306 ◽

pp. 500-519 ◽

Author(s):

Chuchu Chen ◽

Jialin Hong ◽

Liying Zhang

Keyword(s):

Physical Properties ◽

Maxwell Equations ◽

Additive Noise ◽

Symplectic Methods ◽

Stochastic Maxwell Equations

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Mean-Square Convergence of a Semidiscrete Scheme for Stochastic Maxwell Equations

SIAM Journal on Numerical Analysis ◽

10.1137/18m1170431 ◽

2019 ◽

Vol 57 (2) ◽

pp. 728-750 ◽

Author(s):

Chuchu Chen ◽

Jialin Hong ◽

Lihai Ji

Keyword(s):

Maxwell Equations ◽

Mean Square ◽

Mean Square Convergence ◽

Semidiscrete Scheme ◽

Stochastic Maxwell Equations

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On the approximate controllability of the stochastic Maxwell equations

IMA Journal of Mathematical Control and Information ◽

10.1093/imamci/dnp022 ◽

2010 ◽

Vol 27 (1) ◽

pp. 103-118 ◽

Author(s):

T. Horsin ◽

I. G. Stratis ◽

A. N. Yannacopoulos

Keyword(s):

Maxwell Equations ◽

Approximate Controllability ◽

Stochastic Maxwell Equations

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A Symplectic Discontinuous Galerkin Full Discretization for Stochastic Maxwell Equations

SIAM Journal on Numerical Analysis ◽

10.1137/20m1368537 ◽

2021 ◽

Vol 59 (4) ◽

pp. 2197-2217

Author(s):

Chuchu Chen

Keyword(s):

Discontinuous Galerkin ◽

Maxwell Equations ◽

Full Discretization ◽

Stochastic Maxwell Equations

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An energy-conserving method for stochastic Maxwell equations with multiplicative noise

Journal of Computational Physics ◽

10.1016/j.jcp.2017.09.030 ◽

2017 ◽

Vol 351 ◽

pp. 216-229 ◽

Author(s):

Jialin Hong ◽

Lihai Ji ◽

Liying Zhang ◽

Jiaxiang Cai

Keyword(s):

Maxwell Equations ◽

Multiplicative Noise ◽

Energy Conserving ◽

Stochastic Maxwell Equations

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A stochastic multi-symplectic scheme for stochastic Maxwell equations with additive noise

Journal of Computational Physics ◽

10.1016/j.jcp.2014.03.008 ◽

2014 ◽

Vol 268 ◽

pp. 255-268 ◽

Author(s):

Jialin Hong ◽

Lihai Ji ◽

Liying Zhang

Keyword(s):

Maxwell Equations ◽

Additive Noise ◽

Symplectic Scheme ◽

Stochastic Maxwell Equations

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Energy evolution of multi-symplectic methods for Maxwell equations with perfectly matched layer boundary

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2016.02.070 ◽

2016 ◽

Vol 439 (1) ◽

pp. 256-270 ◽

Author(s):

Jialin Hong ◽

Lihai Ji

Keyword(s):

Maxwell Equations ◽

Perfectly Matched Layer ◽

Symplectic Methods ◽

Energy Evolution ◽

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Runge--Kutta Semidiscretizations for Stochastic Maxwell Equations with Additive Noise

SIAM Journal on Numerical Analysis ◽

10.1137/18m1193372 ◽

2019 ◽

Vol 57 (2) ◽

pp. 702-727 ◽

Author(s):

Chuchu Chen ◽

Jialin Hong ◽

Lihai Ji

Keyword(s):

Maxwell Equations ◽

Additive Noise ◽

Runge Kutta ◽

Stochastic Maxwell Equations

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Homogenization of Harmonic Maxwell Equations with Allowance for Interphase Surface Currents: Layered Structure

Прикладная механика и техническая физика ◽

10.15372/pmtf20190401 ◽

2019 ◽

Keyword(s):

Layered Structure ◽

Maxwell Equations ◽

Surface Currents ◽

Interphase Surface

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Characteristic-based, time-dependent Maxwell equations solvers on a general curvilinear frame

10.2514/6.1993-3178 ◽

1993 ◽

Author(s):

J. SHANG ◽

DATTA GAITONDE

Keyword(s):

Maxwell Equations ◽

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