We present an energy-conserving numerical scheme to solve the Vlasov-Maxwell
(VM) system based on the regularized moment method proposed in [Z. Cai, Y. Fan,
and R. Li. CPAM, 2014]. The globally hyperbolic moment system is deduced for
the multi-dimensional VM system under the framework of the Hermite expansions,
where the expansion center and the scaling factor are set as the macroscopic
velocity and local temperature, respectively. Thus, the effect of the Lorentz
force term could be reduced into several ODEs about the macroscopic velocity
and the moment coefficients of higher order, which could significantly reduce
the computational cost of the whole system. An energy-conserving numerical
scheme is proposed to solve the moment equations and the Maxwell equations,
where only a linear equation system needs to be solved. Several numerical
examples such as the two-stream instability, Weibel instability, and the
two-dimensional Orszag Tang vortex problem are studied to validate the
efficiency and excellent energy-preserving property of the numerical scheme