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INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS (2015)
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JOURNAL OF THE ATMOSPHERIC SCIENCES (2015)
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PHYSICAL REVIEW E (2015)
Discrete approach to stochastic parametrization and dimension reduction in nonlinear dynamics
Alexandre J. Chorin et al.
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA (2015)
Statistical energy conservation principle for inhomogeneous turbulent dynamical systems
Andrew J. Majda
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Multi-fidelity modelling via recursive co-kriging and Gaussian-Markov random fields
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Renormalized Mori-Zwanzig-reduced models for systems without scale separation
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TWO-SIDED PROJECTION METHODS FOR NONLINEAR MODEL ORDER REDUCTION
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SIAM JOURNAL ON SCIENTIFIC COMPUTING (2015)
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SIAM REVIEW (2015)
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WATER RESOURCES RESEARCH (2015)
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INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING (2015)
Data-driven model reduction for the Bayesian solution of inverse problems
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INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING (2015)
Real-time monitoring of thermal processes by reduced-order modeling
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Fluid flow dynamics under location uncertainty
Etienne Memin
GEOPHYSICAL AND ASTROPHYSICAL FLUID DYNAMICS (2014)
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INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS (2014)
An ensemble Kalman filter for statistical estimation of physics constrained nonlinear regression models
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Variational Multiscale Proper Orthogonal Decomposition: Navier-Stokes Equations
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SIAM JOURNAL ON SCIENTIFIC COMPUTING (2014)
Analysis of Fluid Flows via Spectral Properties of the Koopman Operator
Igor Mezic
ANNUAL REVIEW OF FLUID MECHANICS, VOL 45 (2013)
Non-linear Petrov-Galerkin methods for reduced order modelling of the Navier-Stokes equations using a mixed finite element pair
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COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2013)
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INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING (2013)
A dynamically bi-orthogonal method for time-dependent stochastic partial differential equations I: Derivation and algorithms
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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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Low-dimensional modelling of high-Reynolds-number shear flows incorporating constraints from the Navier-Stokes equation
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A review of indirect/non-intrusive reduced order modeling of nonlinear geometric structures
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MATHEMATICS OF COMPUTATION (2013)
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PHYSICA D-NONLINEAR PHENOMENA (2013)
Physics constrained nonlinear regression models for time series
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NONLINEARITY (2013)
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OCEAN ENGINEERING (2013)
Stochastic parametrizations and model uncertainty in the Lorenz '96 system
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PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES (2013)
Statistically accurate low-order models for uncertainty quantification in turbulent dynamical systems
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PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA (2013)
Attractor local dimensionality, nonlinear energy transfers and finite-time instabilities in unstable dynamical systems with applications to two-dimensional fluid flows
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α Regularization of the POD-Galerkin dynamical systems of the Kuramoto-Sivashinsky equation
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APPLIED MATHEMATICS AND COMPUTATION (2012)
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COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2012)
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INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING (2012)
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A New Closure Strategy for Proper Orthogonal Decomposition Reduced-Order Models
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Strong and weak constraint variational assimilations for reduced order fluid flow modeling
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NONLINEAR DYNAMICS (2012)
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NONLINEAR OSCILLATIONS (2012)
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PHYSICAL REVIEW E (2012)
Review of surrogate modeling in water resources
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WATER RESOURCES RESEARCH (2012)
A Short Review on Model Order Reduction Based on Proper Generalized Decomposition
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ARCHIVES OF COMPUTATIONAL METHODS IN ENGINEERING (2011)
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COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2011)
QLMOR: A Projection-Based Nonlinear Model Order Reduction Approach Using Quadratic-Linear Representation of Nonlinear Systems
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IEEE TRANSACTIONS ON COMPUTER-AIDED DESIGN OF INTEGRATED CIRCUITS AND SYSTEMS (2011)
Efficient non-linear model reduction via a least-squares Petrov-Galerkin projection and compressive tensor approximations
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INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING (2011)
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MATHEMATICAL AND COMPUTER MODELLING (2011)
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OCEAN ENGINEERING (2011)
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DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS (2010)
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INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING (2010)
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Reduced order thermal modeling of data centers via proper orthogonal decomposition: a review
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Fast Computation of Kernel Estimators
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Dynamic mode decomposition of numerical and experimental data
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Empirical Orthogonal Functions: The Medium is the Message
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Stable Galerkin reduced order models for linearized compressible flow
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NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS (2009)
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A proper-orthogonal-decomposition-based model for the wall layer of a turbulent channel flow
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PHYSICS OF FLUIDS (2009)
Distilling Free-Form Natural Laws from Experimental Data
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AIAA JOURNAL (2008)
Localized homology
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COMPUTATIONAL GEOMETRY-THEORY AND APPLICATIONS (2008)
Missing Point Estimation in Models Described by Proper Orthogonal Decomposition
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IEEE TRANSACTIONS ON AUTOMATIC CONTROL (2008)
Low-dimensional modelling of a transient cylinder wake using double proper orthogonal decomposition
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A Finite-Time Thermodynamics of Unsteady Fluid Flows
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Variational assimilation of POD low-order dynamical systems
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K Willcox
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ECOLOGICAL MODELLING (2006)
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I Mezic
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Aerodynamic data reconstruction and inverse design using proper orthogonal decomposition
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MONTHLY WEATHER REVIEW (2003)
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