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Efficient modeling of a three-dimensional reverberation chamber (RC) is achieved by combining the discrete singular convolution (DSC) method and the method of moments (MoM). An RC usually consists of a metallic cavity and one or two conducting stirrers, whose size is normally small compared to the chamber size. The large cavity is efficiently modeled by the DSC method, and the stirrer is simulated by the flexible MoM. Exploiting the property of RWG basis, solutions from the two methods are combined together using the equivalence principle. The validity and advantages of the proposed hybrid technique are shown through comparisons with the commercial software FEKO. Employing the high efficiency of the DSC method, the hybrid technique can analyze one stirrer position of a medium-sized RC in a few hundred seconds on a single personal computer, for which FEKO needs thousands of seconds CPU time. The memory requirement of the proposed method is also less than that of FEKO. Furthermore, our hybrid method provides efficient calculation of electric field strength at a large number of field points, which is of great interest in RC analysis. Simulations show that our method only takes 1.7 seconds to compute electric field strength at 4026 field points.