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Minisymposium MA4
Condition number of the stiffness matrix arising in POD Galerkin schemes for dynamical systems
Article first published online: 5 NOV 2004
DOI: 10.1002/pamm.200410010
Copyright © 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
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How to Cite
Volkwein, S. (2004), Condition number of the stiffness matrix arising in POD Galerkin schemes for dynamical systems. Proc. Appl. Math. Mech., 4: 39–42. doi: 10.1002/pamm.200410010
Publication History
- Issue published online: 5 NOV 2004
- Article first published online: 5 NOV 2004
- Abstract
- References
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Abstract
Proper orthogonal decomposition (POD) provides a method for deriving low order models of non-linear dynamical systems, where a so-called POD basis is computed by a singular value decomposition and these basis functions are used in a Galerkin ansatz for the non-linear dynamics. In this paper we prove estimates for the condition number of the stiffness matrices arising in the POD Galerkin discretization. (© 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)