23 citations · 102 across the 25 of their papers we have counts for
4 papers · 1 filter
Implicit Higher-Order Moment Matching Technique for Model Reduction of Quadratic-bilinear Systems
Mian Muhammad Arsalan Asif, Mian Ilyas Ahmad, Peter Benner +2
We propose a projection based multi-moment matching method for model order reduction of quadratic-bilinear systems. The goal is to construct a reduced system that ensures higher-or…
Adaptive Basis Construction and Improved Error Estimation for Parametric Nonlinear Dynamical Systems
Sridhar Chellappa, Lihong Feng, Peter Benner
An adaptive scheme to generate reduced-order models for parametric nonlinear dynamical systems is proposed. It aims to automatize the POD-Greedy algorithm combined with empirical i…
An Adaptive Sampling Approach for the Reduced Basis Method
Sridhar Chellappa, Lihong Feng, Peter Benner
The offline time of the reduced basis method can be very long given a large training set of parameter samples. This usually happens when the system has more than two independent pa…
An Adaptive Pole-Matching Method for Interpolating Reduced-Order Models
Yao Yue, Lihong Feng, Peter Benner
An adaptive parametric reduced-order modeling method based on interpolating poles of reduced-order models is proposed in this paper. To guarantee correct interpolation, a pole-matc…