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Reduced Order Multirate Schemes for Coupled Differential-Algebraic Systems

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

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{
"inLanguage": {
"alternateName": "eng",
"@type": "Language",
"name": "English"
},
"description": "<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>",
"creator": [
{
"affiliation": "University of Wuppertal",
"@type": "Person",
"name": "Bannenberg, M.W.F.M."
},
{
"affiliation": "STMicroelectronics",
"@type": "Person",
"name": "Ciccazzo, A."
},
{
"affiliation": "University of Wuppertal",
"@type": "Person",
"name": "G\u00fcnther, M."
}
],
"headline": "Reduced Order Multirate Schemes for Coupled Differential-Algebraic Systems",
"datePublished": "2021-01-22",
"url": "https://zenodo.org/record/4542811",
"keywords": [
"Mulitrate, Model Order Reduction, Dierential-Algebraic Equations, Snapshot Sampling."
],
"@context": "https://schema.org/",
"identifier": "https://doi.org/10.5281/zenodo.4542811",
"@id": "https://doi.org/10.5281/zenodo.4542811",
"@type": "ScholarlyArticle",
"name": "Reduced Order Multirate Schemes for Coupled Differential-Algebraic Systems"
}
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