Wave-based transient analysis using block Newton-Jacobi

A recently introduced wave-based transient analysis uses relaxation and thus does not require large matrix decompositions at each nonlinear iteration. The use of waves results in guaranteed convergence for any linear passive circuit and some types of nonlinear circuits, but the convergence rate can not be controlled. In this work, the wave-based transient analysis is re-formulated using a block Newton-Jacobi approach and the convergence properties of the original and new formulations are compared with the simulation of two microwave circuits.