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In this paper, a new hybrid technique combining the discrete singular convolution (DSC) method and the method of moments (MoM) is proposed for efficient analysis of a 2-D transverse magnetic reverberation chamber. The metallic stirrer is viewed as a current sheet along whose surface the tangential electric field is forced to zero. The DSC method is used to model the cavity excited by the original source plus the current sheet, which are expressed on the grids of the DSC method using the regularization technique. The MoM is used to enforce the boundary condition along the stirrer. Solutions from the aforementioned two steps are coupled together with the aid of the equivalence principle. The validity and advantage of the proposed hybrid technique is shown through comparisons with results from alternative methods. Taking advantage of the high efficiency of the DSC method, the new hybrid technique is shown to be a lot more efficient than a pure MoM with approximately the same memory cost.