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math.OC2019★ 1 cited
Data-Driven Identification of Rayleigh-Damped Second-Order Systems
Igor Pontes Duff, Pawan Goyal, Peter Benner
In this paper, we present a data-driven approach to identify second-order systems, having internal Rayleigh damping. This means that the damping matrix is given as a linear combina…
math.OC2019
Gramians, Energy Functionals and Balanced Truncation for Linear Dynamical Systems with Quadratic Outputs
Peter Benner, Pawan Goyal, Igor Pontes Duff
Model order reduction is a technique that is used to construct low-order approximations of large-scale dynamical systems. In this paper, we investigate a balancing based model orde…
math.OC2017★ 2 cited
Towards Time-Limited -Optimal Model Order Reduction
Pawan Goyal, Martin Redmann
In order to solve partial differential equations numerically and accurately, a high order spatial discretization is usually needed. Model order reduction (MOR) techniques are often…