A note on POD model reduction methods for DAEs

Falk Ebert

Mathematical and Computer Modelling of Dynamical Systems, 2010, vol. 16, issue 2, 115-131

Abstract: We review some known results for proper orthogonal decomposition (POD) model order reduction applied to ordinary differential equations (ODEs). Then, these results are generalized for several types of differential-algebraic equations (DAEs). We provide algorithms for the model reduction and error bounds for the reduced-order models. Some limits of the approach are pointed out and alternative methods for reduced-order subspace approximation are presented. The POD approach is tested and evaluated for a medium-sized DAE example from multi-body dynamics.

Date: 2010
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DOI: 10.1080/13873951003740041

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