Convergence conditions of waveform relaxation methods for circuit simulation

摘要

For two general classes of circuits which are described by nonlinear differential-algebraic equations and linear differential-algebraic equations respectively, we present convergence conditions of the waveform relaxation methods, in which the proofs are based on the operator spectral theory and are identical. These convergence conditions reveal the types of splittings of the equations for which the waveform relaxation methods will converge.