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Symplectic partitioned Runge–Kutta scheme for Maxwell's equations

Authors

  • Zhi-Xiang Huang,

    Corresponding author
    1. Key Laboratory of Intelligent Computing and Signal Processing, Anhui University, Ministry of Education Hefei 230039, China
    • Key Laboratory of Intelligent Computing and Signal Processing, Anhui University, Ministry of Education Hefei 230039, China
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  • Xian-Liang Wu

    1. Key Laboratory of Intelligent Computing and Signal Processing, Anhui University, Ministry of Education Hefei 230039, China
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Abstract

Using the symplectic partitioned Runge–Kutta (PRK) method, we construct a new scheme for approximating the solution to infinite dimensional nonseparable Hamiltonian systems of Maxwell's equations for the first time. The scheme is obtained by discretizing the Maxwell's equations in the time direction based on symplectic PRK method, and then evaluating the equation in the spatial direction with a suitable finite difference approximation. Several numerical examples are presented to verify the efficiency of the scheme. © 2005 Wiley Periodicals, Inc. Int J Quantum Chem, 2006

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