Model reduction of parametrized systems

P Benner, M Ohlberger, A Patera, G Rozza, K Urban - 2017 - Springer
This volume contains selected peer-reviewed contributions from the MoRePaS conference,
Model Reduction of Parametrized Systems, third edition, held at SISSA, International School …

Efficient reduced models and a posteriori error estimation for parametrized dynamical systems by offline/online decomposition

B Haasdonk, M Ohlberger - Mathematical and Computer Modelling …, 2011 - Taylor & Francis
We address the problem of model order reduction (MOR) of parametrized dynamical
systems. Motivated by reduced basis (RB) methods for partial differential equations, we …

Proper orthogonal decomposition for linear-quadratic optimal control

M Gubisch, S Volkwein - Model reduction and approximation …, 2017 - books.google.com
Optimal control problems for partial differential equations (PDEs) are often hard to tackle
numerically because their discretization leads to very large scale optimization problems …

Proper orthogonal decomposition surrogate models for nonlinear dynamical systems: Error estimates and suboptimal control

M Hinze, S Volkwein - Dimension Reduction of Large-Scale Systems …, 2005 - Springer
Optimal control problems for nonlinear partial differential equations are often hard to tackle
numerically so that the need for developing novel techniques emerges. One such technique …

[图书][B] Reduced order methods for modeling and computational reduction

A Quarteroni, G Rozza - 2014 - Springer
This book contains selected peer-reviewed contributions submitted by the plenary speakers
to the workshop" Reduced Basis, POD and Reduced Order Methods for model and …

A survey of projection-based model reduction methods for parametric dynamical systems

P Benner, S Gugercin, K Willcox - SIAM review, 2015 - SIAM
Numerical simulation of large-scale dynamical systems plays a fundamental role in studying
a wide range of complex physical phenomena; however, the inherent large-scale nature of …

Model reduction via proper orthogonal decomposition

R Pinnau - Model order reduction: theory, research aspects and …, 2008 - Springer
In many fields of science and engineering, like fluid or structural mechanics and electric
circuit design, large–scale dynamical systems need to be simulated, optimized or controlled …

A compact proper orthogonal decomposition basis for optimization-oriented reduced-order models

K Carlberg, C Farhat - 12th AIAA/ISSMO multidisciplinary analysis and …, 2008 - arc.aiaa.org
Reduced basis approximation leads to a class of model-reduction methods that can
dramatically decrease the computational cost of solving large, parameterized systems in one …

[PDF][PDF] Cross-Gramian based model reduction for data-sparse systems

U Baur, P Benner - Electronic Transactions on Numerical …, 2008 - etna.math.kent.edu
Model order reduction (MOR) is common in simulation, control and optimization of complex
dynamical systems arising in modeling of physical processes, and in the spatial …

Model reduction of interconnected systems

A Vandendorpe, P Van Dooren - Model order reduction: theory, research …, 2008 - Springer
We consider a particular class of structured systems that can be modelled as a set of
input/output subsystems that interconnect to each other, in the sense that outputs of some …