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.
- Standort
-
Deutsche Nationalbibliothek Frankfurt am Main
- Umfang
-
Online-Ressource
- Sprache
-
Englisch
- Erschienen in
-
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)
- Urheber
-
Pulch, Roland
- DOI
-
10.1002/pamm.202300038
- URN
-
urn:nbn:de:101:1-2023091515295579656229
- Rechteinformation
-
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Letzte Aktualisierung
-
14.08.2025, 10:46 MESZ
Datenpartner
Dieses Objekt wird bereitgestellt von:
Deutsche Nationalbibliothek. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.
Deutsche Nationalbibliothek. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.
Beteiligte
- Pulch, Roland
Ähnliche Objekte (12)
Stability-preserving model order reduction for linear stochastic Galerkin systems
An error bound for the standard deviation in model order reduction of linear stochastic Galerkin systems
Model order reduction of linear time invariant systems
Model order reduction of linear time invariant systems
High-order Adaptive Discontinuous Galerkin Inundation Modeling
On the order reduction
Complexity-reduction by first-order approximation of non-linear kinetics
Complexity-reduction by first-order approximation of non-linear kinetics
Second-Order Stochastic Dominance Constraints Induced by Mixed-Integer Linear Recourse
High-order discontinuous Galerkin hydrodynamics for supersonic astrophysical turbulence
Very high order discontinuous Galerkin method in elliptic problems
Computational aeroacoustics with a high order discontinuous Galerkin scheme
Stability-preserving model order reduction for linear stochastic Galerkin systems
An error bound for the standard deviation in model order reduction of linear stochastic Galerkin systems
Model order reduction of linear time invariant systems
Model order reduction of linear time invariant systems
High-order Adaptive Discontinuous Galerkin Inundation Modeling
On the order reduction
Complexity-reduction by first-order approximation of non-linear kinetics
Complexity-reduction by first-order approximation of non-linear kinetics
Second-Order Stochastic Dominance Constraints Induced by Mixed-Integer Linear Recourse
High-order discontinuous Galerkin hydrodynamics for supersonic astrophysical turbulence
Very high order discontinuous Galerkin method in elliptic problems
Computational aeroacoustics with a high order discontinuous Galerkin scheme
Stability-preserving model order reduction for linear stochastic Galerkin systems
An error bound for the standard deviation in model order reduction of linear stochastic Galerkin systems
Model order reduction of linear time invariant systems
Model order reduction of linear time invariant systems
High-order Adaptive Discontinuous Galerkin Inundation Modeling
On the order reduction
Complexity-reduction by first-order approximation of non-linear kinetics
Complexity-reduction by first-order approximation of non-linear kinetics
Second-Order Stochastic Dominance Constraints Induced by Mixed-Integer Linear Recourse
High-order discontinuous Galerkin hydrodynamics for supersonic astrophysical turbulence
Very high order discontinuous Galerkin method in elliptic problems