6 citations · 8 across the 4 of their papers we have counts for
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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…
math.NA2020
Toward fitting structured nonlinear systems by means of dynamic mode decomposition
Ion Victor Gosea, Igor Pontes Duff
The dynamic mode decomposition (DMD) is a data-driven method used for identifying the dynamics of complex nonlinear systems. It extracts important characteristics of the underlying…
math.NA2019★ 6 cited
Identification of Dominant Subspaces for Linear Structured Parametric Systems and Model Reduction
Peter Benner, Pawan Goyal, Igor Pontes Duff
In this paper, we discuss a novel model reduction framework for generalized linear systems. The transfer functions of these systems are assumed to have a special structure, e.g., c…