Reduced order multirate schemes for coupled differential-algebraic systems

In the context of time-domain simulation of integrated circuits, one often encounters large systems of coupled differential-algebraic equations. Simulation costs of these systems can become prohibitively large as the number of components keeps increasing. In an effort to reduce these simulation costs a twofold approach is presented in this paper. We combine maximum entropy snapshot sampling method and a nonlinear model order reduction technique, with multirate time integration. The obtained model order reduction basis is applied using the GauB-Newton method with approximated tensors reduction. This reduction framework is then integrated using a coupled-slowest-first multirate integration scheme. The convergence of this combined method is verified numerically. Lastly it is shown that the new method results in a reduction of the computational effort without significant loss of accuracy. (C) 2021 IMACS. Published by Elsevier B.V. All rights reserved.

Automated summary

This paper presents a twofold approach to reduce the simulation costs of integrated circuits, by combining maximum entropy snapshot sampling method and nonlinear model order reduction technique with multirate time integration. Numerical verification confirms the convergence of this combined method, showing a reduction in computational effort without significant loss of accuracy.