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In this paper, massively parallel time-domain electrical full-wave solvers, which can be used in circuit and electromagnetic-field simulators, are described. First, FDTD (Finite-Difference Time-Domain) method and its derivative methods such as semi-implicit type of FDTD method and LIM (Latency Insertion Method) are introduced for the large-scale simulation in PI/SI/EMI design. Next, several acceleration techniques of these numerical simulation methods are reviewed and discussed, which are based on the parallel computing methods such as PC-cluster and GPGPU (Graphics Processing Units). Finally, the computational performances on the hardware accelerators are compared each other and systematically summarized.