New implicit integration method for efficient latency exploitation in circuit simulation

Multirate Simulations With Simultaneous-Solution Using Direct Integration Methods in a Partitioned Network Environment

“…There have been approaches where the effects of latent subcircuits have been modeled with polynomial extrapolation [13] or by developing elaborate implicit integration methods [14]. However, numerical extrapolations are inherently inaccurate for predicting solutions in fast-varying electrical networks, and our focus is to exploit latency using simple implicit integration methods like trapezoidal and backward Euler.…”

“…Both approaches are severely limited since most latent subcircuits are not completely dormant and polynomial extrapolations are inherently inaccurate for predicting the exponential curves typical in electric networks. In [14], an elaborate implicit integration method is proposed to overcome this limitation. The approach proposed here exploits latency using simple circuit concepts and simple integration techniques such as trapezoidal and backward Euler.…”

Semi-implicit integration method for the time-domain simulation of thermal responses

“…The peculiarity of the proposed method is that it allows avoiding a large number of Jacobian matrices formations and decompositions thus greatly enhancing numerical efficiency. Similar semi-implicit methods have been already employed successfully in other contexts [4], [5]. The proposed method is described both in connection with a simple network employed as a bench-mark and then it is exploited in the efficient time-domain simulation of a large nonlinear thermal network driven by many input heat sources.…”

Modelling and Discretization of Circuit Problems

“…. 20 have been reported [40,70,209], but obviously methods and codes are not yet mature enough to be used in standard industrial environments.…”