Preprint Open Access

# Reduced Order Multirate Schemes for Coupled Differential-Algebraic Systems

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

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{
"publisher": "Zenodo",
"DOI": "10.5281/zenodo.4542811",
"language": "eng",
"title": "Reduced Order Multirate Schemes for Coupled Differential-Algebraic Systems",
"issued": {
"date-parts": [
[
2021,
1,
22
]
]
},
"abstract": "<p>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 Gau&szlig;-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.</p>",
"author": [
{
"family": "Bannenberg, M.W.F.M."
},
{
"family": "Ciccazzo, A."
},
{
"family": "G\u00fcnther, M."
}
],
"note": "Preprint BUW-IMACM 21/04, Institute of Mathematical Modelling, Analysis and Computational Mathematics (IMACM), Bergische Universit\u00e4t Wuppertal, January 2021",
"type": "article",
"id": "4542811"
}
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