Stability analysis of the latency insertion method using a block matrix formulation

The latency insertion method (LIM) has been demonstrated as an optimum algorithm for the transient simulation large networks. However, its stability is not unconditional. The method is analogous to the finite difference time domain (FDTD) used in electromagnetic. Stability depends on the proper choice of the time step. This paper examines the stability issues and presents an approach that allows a proper choice for the time step that will guarantee stability.