Model order reduction for linear and nonlinear systems: a system-theoretic perspective

U Baur, P Benner, L Feng - Archives of Computational Methods in …, 2014 - Springer
In the past decades, Model Order Reduction (MOR) has demonstrated its robustness and
wide applicability for simulating large-scale mathematical models in engineering and the …

Model order reduction via moment-matching: a state of the art review

D Rafiq, MA Bazaz - Archives of Computational Methods in Engineering, 2022 - Springer
The past few decades have seen a significant spurt in developing lower-order, parsimonious
models of large-scale dynamical systems used for design and control. These surrogate …

Model order reduction by Krylov subspace methods with global error bounds and automatic choice of parameters

HKF Panzer - 2014 - mediatum.ub.tum.de
The simulation and control of complex technical systems in many fields of application, like
structural mechanics, electrothermics, or acoustics, requires methods for the efficient …

Automatic model order reduction for systems with frequency-dependent material properties

Q Aumann, E Deckers, S Jonckheere, W Desmet… - Computer Methods in …, 2022 - Elsevier
The frequency response of vibro-acoustic systems can be improved by using various forms
of damping materials. Their material properties are typically varying with the excitation …

[PDF][PDF] Model order reduction based on moment-matching

P Benner, L Feng - Model Order Reduction: Volume 1: System …, 2021 - library.oapen.org
This is a survey of model order reduction (MOR) methods based on momentmatching.
Moment-matching methods for linear non-parametric and parametric systems are reviewed …

Some a posteriori error bounds for reduced-order modelling of (non-) parametrized linear systems

L Feng, AC Antoulas, P Benner - ESAIM: Mathematical Modelling …, 2017 - esaim-m2an.org
We propose a posteriori error bounds for reduced-order models of non-parametrized linear
time invariant (LTI) systems and parametrized LTI systems. The error bounds estimate the …

A fully adaptive scheme for model order reduction based on moment matching

L Feng, JG Korvink, P Benner - IEEE Transactions on …, 2015 - ieeexplore.ieee.org
A fully adaptive model order reduction scheme based on moment matching is proposed to
derive the reduced-order models of linear time-invariant (LTI) systems. According to the …

A fully adaptive rational global Arnoldi method for the model-order reduction of second-order MIMO systems with proportional damping

T Bonin, H Faßbender, A Soppa, M Zaeh - Mathematics and Computers in …, 2016 - Elsevier
The model order reduction of second-order dynamical multi-input and multi-output (MIMO)
systems with proportional damping arising in the numerical simulation of mechanical …

An adaptive sparse grid rational Arnoldi method for uncertainty quantification of dynamical systems in the frequency domain

U Römer, M Bollhöfer, H Sreekumar… - International Journal …, 2021 - Wiley Online Library
In this paper, we address discrete linear systems in the frequency domain, where both
frequency and random parameters are considered. Sampling such a system many times is …

A collection of large-scale benchmark models for nonlinear model order reduction

D Rafiq, MA Bazaz - Archives of Computational Methods in Engineering, 2023 - Springer
We provide a publicly available collection of sixteen large-scale benchmark nonlinear state-
space models in this contribution. The models are written in the MATLAB language and are …