14 citations · 21 across the 21 of their papers we have counts for
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math.NA2021
Gramian-based model reduction for unstable stochastic systems
Martin Redmann, Nahid Jamshidi
This paper considers large-scale linear stochastic systems representing, e.g., spatially discretized stochastic partial differential equations. Since asymptotic stability can often…
math.NA2021
Model order reduction for bilinear systems with non-zero initial states -- different approaches with error bounds
Martin Redmann, Igor Pontes Duff
In this paper, we consider model order reduction for bilinear systems with non-zero initial conditions. We discuss choices of Gramians for both the homogeneous and the inhomogeneou…
math.NA2021
Full state approximation by Galerkin projection reduced order models for stochastic and bilinear systems
Martin Redmann, Igor Pontes Duff
In this paper, the problem of full state approximation by model reduction is studied for stochastic and bilinear systems. Our proposed approach relies on identifying the dominant s…