Energy‐based model order reduction for linear stochastic Galerkin systems of second order
Abstract: We consider a second‐order linear system of ordinary differential equations (ODEs) including random variables. A stochastic Galerkin method yields a larger deterministic linear system of ODEs. We apply a model order reduction (MOR) of this high‐dimensional linear dynamical system, where its internal energy represents a quadratic quantity of interest. We investigate the properties of this MOR with respect to stability, passivity and energy dissipation. Numerical results are shown for a system modelling a mass‐spring‐damper configuration.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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Energy‐based model order reduction for linear stochastic Galerkin systems of second order ; day:15 ; month:09 ; year:2023 ; extent:9
Proceedings in applied mathematics and mechanics ; (15.09.2023) (gesamt 9)
- Creator
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Pulch, Roland
- DOI
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10.1002/pamm.202300038
- URN
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urn:nbn:de:101:1-2023091515295579656229
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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14.08.2025, 10:46 AM CEST
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Associated
- Pulch, Roland
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