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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>", 
  "license": "https://creativecommons.org/licenses/by/4.0/legalcode", 
  "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", 
  "image": "https://zenodo.org/static/img/logos/zenodo-gradient-round.svg", 
  "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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