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Multi-Symplectic Wavelet Collocation Method for Maxwell's Equations
Authors:Huajun Zhu  Songhe Song & Yaming Chen
Abstract:In this paper, we develop a multi-symplectic wavelet collocation method for three-dimensional (3-D) Maxwell's equations. For the multi-symplectic formulation of the equations, wavelet collocation method based on autocorrelation functions is applied for spatial discretization and appropriate symplectic scheme is employed for time integration. Theoretical analysis shows that the proposed method is multi-symplectic, unconditionally stable and energy-preserving under periodic boundary conditions. The numerical dispersion relation is investigated. Combined with splitting scheme, an explicit splitting symplectic wavelet collocation method is also constructed. Numerical experiments illustrate that the proposed methods are efficient, have high spatial accuracy and can preserve energy conservation laws exactly.
Keywords:Multi-symplectic  wavelet collocation method  Maxwell's equations  symplectic  conservation laws  
点击此处可从《advances in applied mathematics and mechanics.》浏览原始摘要信息
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