Preprint Open Access

Reduced Order Multirate Schemes for Coupled Differential-Algebraic Systems

Bannenberg, M.W.F.M.; Ciccazzo, A.; Günther, M.

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 Gauß-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 verified numerically. Lastly it is shown that the new method results in a reduction of the computational effort without significant loss of accuracy.

Preprint BUW-IMACM 21/04, Institute of Mathematical Modelling, Analysis and Computational Mathematics (IMACM), Bergische Universität Wuppertal, January 2021
Files (629.4 kB)
Name Size
629.4 kB Download
All versions This version
Views 1414
Downloads 1111
Data volume 6.9 MB6.9 MB
Unique views 88
Unique downloads 66


Cite as