We incorporate high-order symplectic time integrators into multiresolution time domain (MRTD) schemes. The stability and numerical dispersion analysis are presented. The proposed scheme preserves the symplectic structure of Maxwell's equations and can be easily implemented in program codes. Compared to Runge-Kutta (RK)-MRTD, the suggested scheme is more accurate in long-term simulations and requires less computational resource.
"Multiresolution Time Domain Scheme Using Symplectic Integrators," Progress In Electromagnetics Research M,
Vol. 32, 1-11, 2013. doi:10.2528/PIERM13050708
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