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In this paper, we present a hybrid finite difference/finite volume method and we apply it to solve an automotive electromagnetic compatibility (EMC) problem. The principles of the hybrid method and the numerical schemes are described. Simple examples are used to compare this method with the finite difference and finite volume methods alone in terms of accuracy and computing speed. The automotive EMC problem and its modeling are then presented. Finally, sample comparisons between measurements and calculations of both electric fields and S-parameters between an antenna and cables are given.