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Balanced Model Reduction via the Proper Orthogonal Decomposition

K. Willcox

Massachusetts Institute of Technology, Cambridge, Massachusetts 02139

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J. Peraire

Massachusetts Institute of Technology, Cambridge, Massachusetts 02139

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Published Online:17 May 2012https://doi.org/10.2514/2.1570

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- On the Stability of Reduced-Order Linearized Computational Fluid Dynamics Models Based on POD and Galerkin Projection: Descriptor vs Non-Descriptor Forms
- Model Order Reduction in Fluid Dynamics: Challenges and Perspectives
- Multi-scale optimization for process systems engineering
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- Cross-Gramian-Based Combined State and Parameter Reduction for Large-Scale Control Systems
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  IFAC Proceedings Volumes, Vol. 47, No. 3
- Solving Algebraic Riccati Equations via Proper Orthogonal Decomposition
  IFAC Proceedings Volumes, Vol. 47, No. 3
- Nuclear Norm Optimization and Its Application to Observation Model Specification
  13 September 2013
- An Iterative Proper Orthogonal Decomposition (I-POD) Technique with Application to the Filtering of Partial Differential Equations
  10 November 2015 | The Journal of the Astronautical Sciences, Vol. 60, No. 3-4
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  12 June 2013 | International Journal for Numerical Methods in Fluids, Vol. 73, No. 6
- Experimental design for estimating unknown groundwater pumping using genetic algorithm and reduced order model
  16 October 2013 | Water Resources Research, Vol. 49, No. 10
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  18 April 2012 | Engineering with Computers, Vol. 29, No. 4
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  28 June 2013 | Computational Geosciences, Vol. 17, No. 5
- Towards simultaneous reduction of both input and output spaces for interactive simulation-based structural design
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- A new approach to physics-based reduction of power system dynamic models
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- Nonlinearity-aware sub-model combination in trajectory based methods for nonlinear Mor
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  3 June 2013 | International Journal for Numerical Methods in Engineering, Vol. 95, No. 2
- Low-dimensional modeling of linear heat transfer systems using incremental the proper orthogonal decomposition method
  24 September 2012 | Asia-Pacific Journal of Chemical Engineering, Vol. 8, No. 4
- Challenges in the aerodynamics modeling of an oscillating and translating airfoil at large incidence angles
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- A Monte-Carlo based model approximation technique for linear model predictive control of nonlinear systems
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  IEEE Transactions on Components, Packaging and Manufacturing Technology, Vol. 3, No. 7
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  22 June 2013
- A rational strategy for the resolution of parametrized problems in the PGD framework
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- The GNAT method for nonlinear model reduction: Effective implementation and application to computational fluid dynamics and turbulent flows
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- Stabilization of Explicit Flow Solvers Using a Proper-Orthogonal-Decomposition Technique
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  Jeffrey P. Thomas
  23 April 2013 | AIAA Journal, Vol. 51, No. 5
- Optimization of oil production under gas coning conditions
  Journal of Petroleum Science and Engineering, Vol. 105
- Model Reduction in Flexible-Aircraft Dynamics with Large Rigid-Body Motion
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  5 April 2013
- Multiparameter Analysis of Aero-Icing Problems Using Proper Orthogonal Decomposition and Multidimensional Interpolation
  Marco Fossati and
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  23 March 2013 | AIAA Journal, Vol. 51, No. 4
- Dynamical modelling of the flow over a flapping wing using proper orthogonal decomposition and system identification techniques
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- A trust-region framework for constrained optimization using reduced order modeling
  24 September 2011 | Optimization and Engineering, Vol. 14, No. 1
- Invasive weed optimization for model order reduction of linear MIMO systems
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- Linear and Nonlinear Model Order Reduction for MEMS Electrostatic Actuators
  6 February 2013
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  5 January 2013
- Finite-Rank ADI Iteration for Operator Lyapunov Equations
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- The Use of Gramian Matrices for Aeroelastic Stability Analysis
  Mathematical Problems in Engineering, Vol. 2013
- Balancing-Related Model Reduction for Parabolic Control Systems
  IFAC Proceedings Volumes, Vol. 46, No. 26
- Implicit constraint handling for shape optimisation with POD-morphing
  6 September 2012 | European Journal of Computational Mechanics, Vol. 21, No. 3-6
- Reduced-Order Modeling of Flutter and Limit-Cycle Oscillations Using the Sparse Volterra Series
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- Stabilization of projection-based reduced order models of the Navier–Stokes
  21 August 2012 | Nonlinear Dynamics, Vol. 70, No. 2
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- Reduced-Order Modeling for Limit-Cycle Oscillation Using Recurrent Artificial Neural Network
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  11 September 2012
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  17 December 2011 | Computational Optimization and Applications, Vol. 53, No. 1
- Low Order Model Identification and Controller Design for Active Flow Control
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  6 September 2012
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  Environmental Modelling & Software, Vol. 34
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- On a generalization of the proper orthogonal decomposition and optimal construction of reduced order models
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- On least-order flow representations for aerodynamics and aeroacoustics
  16 March 2012 | Journal of Fluid Mechanics, Vol. 697
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  6 November 2012
- Projection Based Model Reduction for Optimal Design of the Time-dependent Stokes System
  28 October 2011
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  27 February 2012
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