Interpolatory projection methods for parameterized model reduction

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dc.contributor.authorBaur, Ulrikeen
dc.contributor.authorBeattie, Christopher A.en
dc.contributor.authorBenner, Peteren
dc.contributor.authorGugercin, Serkanen
dc.contributor.departmentMathematicsen
dc.date.accessed2014-05-27en
dc.date.accessioned2014-05-28T18:35:08Zen
dc.date.available2014-05-28T18:35:08Zen
dc.date.issued2011en
dc.description.abstractWe provide a unifying projection-based framework for structure-preserving interpolatory model reduction of parameterized linear dynamical systems, i.e., systems having a structured dependence on parameters that we wish to retain in the reduced-order model. The parameter dependence may be linear or nonlinear and is retained in the reduced-order model. Moreover, we are able to give conditions under which the gradient and Hessian of the system response with respect to the system parameters is matched in the reduced-order model. We provide a systematic approach built on established interpolatory H(2) optimal model reduction methods that will produce parameterized reduced-order models having high fidelity throughout a parameter range of interest. For single input/single output systems with parameters in the input/output maps, we provide reduced-order models that are optimal with respect to an H(2) circle times L(2) joint error measure. The capabilities of these approaches are illustrated by several numerical examples from technical applications.en
dc.description.sponsorshipDFG BE 2174/7-1en
dc.description.sponsorshipAutomatic, Parameter-Preserving Model Reduction for Applications in Microsystems Technologyen
dc.description.sponsorshipNSF DMS-0505971, DMS-0645347en
dc.format.mimetypeapplication/pdfen
dc.identifier.citationBaur, U.; Beattie, C.; Benner, P.; Gugercin, S., "Interpolatory projection methods for parameterized model reduction," SIAM J. Sci. Comput., 33(5), 2489-2518, (2011). DOI: 10.1137/090776925en
dc.identifier.doihttps://doi.org/10.1137/090776925en
dc.identifier.issn1064-8275en
dc.identifier.urihttp://hdl.handle.net/10919/48155en
dc.identifier.urlhttp://epubs.siam.org/doi/abs/10.1137/090776925en
dc.language.isoenen
dc.publisherSiam Publicationsen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectparameterized model reductionen
dc.subjectinterpolationen
dc.subjectrational kryloven
dc.subjectpartial-differential-equationsen
dc.subjectnonlinear dynamical-systemsen
dc.subjectreduceden
dc.subjectbasis methoden
dc.subjectorder reductionen
dc.subjectapproximationen
dc.subjectoptimizationen
dc.subjectmacromodelsen
dc.subjectalgorithmen
dc.subjectnetworksen
dc.subjectmathematics, applieden
dc.titleInterpolatory projection methods for parameterized model reductionen
dc.title.serialSiam Journal on Scientific Computingen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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