A Scheduling Approach to Parallel Harmonic Balance Simulation

Rather than approach the parallelization of the harmonic balance simulation method numerically, a novel scheduling-oriented approach is described. The technique leverages circuit substructure to expose potential parallelism in the form of a directed, acyclic graph (dag) of computations. This dag is then allocated and scheduled using various linear clustering techniques. The result is a highly scalable and ef-cient approach to harmonic balance simulation. Two large examples, one from the integrated circuit regime and another from the communication regime, executed on three diierent parallel computers are used to demonstrate the eecacy of the approach.