A new time domain algorithm which combines Super-Time-Stepping (STS) method and the multi-domain pseudospectral time domain (PSTD) algorithm is presented.This algorithm not only maintains accuracy and flexibility of PSTD for an accurate treatment of arbitrarily curved objects but also frees the explicit time integration scheme from the stability restriction
rendering it as usable as any implicit time integration scheme.Some numerical examples are given to illustrate the accuracy and stability of the proposed approach.