Related references
Note: Only part of the references are listed.A domain decomposition non-intrusive reduced order model for turbulent flows
D. Xiao et al.
COMPUTERS & FLUIDS (2019)
Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations
M. Raissi et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2019)
Finite-Volume High-Fidelity Simulation Combined with Finite-Element-Based Reduced-Order Modeling of Incompressible Flow Problems
M. Salman Siddiqui et al.
ENERGIES (2019)
Digital Twin in Industry: State-of-the-Art
Fei Tao et al.
IEEE TRANSACTIONS ON INDUSTRIAL INFORMATICS (2019)
A multiscale method for model order reduction in PDE parameter estimation
Samy Wu Fung et al.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS (2019)
Non-intrusive reduced order modeling of unsteady flows using artificial neural networks with application to a combustion problem
Qian Wang et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2019)
Multi-scale proper orthogonal decomposition of complex fluid flows
M. A. Mendez et al.
JOURNAL OF FLUID MECHANICS (2019)
Adaptive reduced basis method for the reconstruction of unsteady vortex-dominated flows
G. Pascarella et al.
COMPUTERS & FLUIDS (2019)
An artificial neural network framework for reduced order modeling of transient flows
Omer San et al.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION (2019)
Data driven governing equations approximation using deep neural networks
Tong Qin et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2019)
Deep learning algorithm for data-driven simulation of noisy dynamical system
Kyongmin Yeo et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2019)
Data-Driven Identification of Parametric Partial Differential Equations
Samuel Rudy et al.
SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS (2019)
Stable architectures for deep neural networks
Eldad Haber et al.
INVERSE PROBLEMS (2018)
Certified Reduced Basis Methods for Parametrized Elliptic Optimal Control Problems with Distributed Controls
Mark Kaercher et al.
JOURNAL OF SCIENTIFIC COMPUTING (2018)
Neural network closures for nonlinear model order reduction
Omer San et al.
ADVANCES IN COMPUTATIONAL MATHEMATICS (2018)
Machine learning closures for model order reduction of thermal fluids
Omer San et al.
APPLIED MATHEMATICAL MODELLING (2018)
Hybrid forecasting of chaotic processes: Using machine learning in conjunction with a knowledge-based model
Jaideep Pathak et al.
CHAOS (2018)
Practical error bounds for a non-intrusive bi-fidelity approach to parametric/stochastic model reduction
Jerrad Hampton et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2018)
Non-intrusive reduced order modeling of nonlinear problems using neural networks
J. S. Hesthaven et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2018)
Sparse reduced-order modelling: sensor-based dynamics to full-state estimation
Jean-Christophe Loiseau et al.
JOURNAL OF FLUID MECHANICS (2018)
Spectral proper orthogonal decomposition and its relationship to dynamic mode decomposition and resolvent analysis
Aaron Towne et al.
JOURNAL OF FLUID MECHANICS (2018)
Data-driven forecasting of high-dimensional chaotic systems with long short-term memory networks
Pantelis R. Vlachas et al.
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES (2018)
REDUCED ORDER MODELING FOR TIME-DEPENDENT OPTIMIZATION PROBLEMS WITH INITIAL VALUE CONTROLS
Matthias Heinkenschloss et al.
SIAM JOURNAL ON SCIENTIFIC COMPUTING (2018)
THE SHIFTED PROPER ORTHOGONAL DECOMPOSITION: A MODE DECOMPOSITION FOR MULTIPLE TRANSPORT PHENOMENA
J. Reiss et al.
SIAM JOURNAL ON SCIENTIFIC COMPUTING (2018)
Greedy Nonintrusive Reduced Order Model for Fluid Dynamics
Wang Chen et al.
AIAA JOURNAL (2018)
A Hybrid Analytics Paradigm Combining Physics-Based Modeling and Data-Driven Modeling to Accelerate Incompressible Flow Solvers
Sk. Mashfiqur Rahman et al.
FLUIDS (2018)
Extreme learning machine for reduced order modeling of turbulent geophysical flows
Omer San et al.
PHYSICAL REVIEW E (2018)
Randomized dynamic mode decomposition for nonintrusive reduced order modelling
Diana Alina Bistrian et al.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING (2017)
A dynamic subgrid-scale modeling framework for Boussinesq turbulence
Romit Maulik et al.
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER (2017)
NONLINEAR MODEL ORDER REDUCTION VIA DYNAMIC MODE DECOMPOSITION
Alessandro Alla et al.
SIAM JOURNAL ON SCIENTIFIC COMPUTING (2017)
Searching for turbulence models by artificial neural network
Masataka Gamahara et al.
PHYSICAL REVIEW FLUIDS (2017)
Modal Analysis of Fluid Flows: An Overview
Kunihiko Taira et al.
AIAA JOURNAL (2017)
Reduced order modeling and parameter identification of a building energy system model through an optimization routine
V. S. K. V. Harish et al.
APPLIED ENERGY (2016)
Data-driven operator inference for nonintrusive projection-based model reduction
Benjamin Peherstorfer et al.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2016)
High-order compact difference algorithm on half-staggered meshes for low Mach number flows
Artur Tyliszczak
COMPUTERS & FLUIDS (2016)
On linear and nonlinear aspects of dynamic mode decomposition
A. K. Alekseev et al.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS (2016)
Recursive dynamic mode decomposition of transient and post-transient wake flows
Bernd R. Noack et al.
JOURNAL OF FLUID MECHANICS (2016)
Reynolds averaged turbulence modelling using deep neural networks with embedded invariance
Julia Ling et al.
JOURNAL OF FLUID MECHANICS (2016)
Spectral proper orthogonal decomposition
Moritz Sieber et al.
JOURNAL OF FLUID MECHANICS (2016)
From snapshots to modal expansions - bridging low residuals and pure frequencies
Bernd R. Noack
JOURNAL OF FLUID MECHANICS (2016)
Principal component analysis: a review and recent developments
Ian T. Jolliffe et al.
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES (2016)
Taking the Human Out of the Loop: A Review of Bayesian Optimization
Bobak Shahriari et al.
PROCEEDINGS OF THE IEEE (2016)
Discovering governing equations from data by sparse identification of nonlinear dynamical systems
Steven L. Brunton et al.
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA (2016)
Closed-Loop Turbulence Control: Progress and Challenges
Steven L. Brunton et al.
APPLIED MECHANICS REVIEWS (2015)
Exascale Computing and Big Data
Daniel A. Reed et al.
COMMUNICATIONS OF THE ACM (2015)
An improved algorithm for the shallow water equations model reduction: Dynamic Mode Decomposition vs POD
D. A. Bistrian et al.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS (2015)
Non-intrusive reduced-order modelling of the Navier-Stokes equations based on RBF interpolation
D. Xiao et al.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS (2015)
Principal interval decomposition framework for POD reduced-order modeling of convective Boussinesq flows
O. San et al.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS (2015)
POD/DEIM reduced-order strategies for efficient four dimensional variational data assimilation
R. Stefanescu et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2015)
On long-term boundedness of Galerkin models
Michael Schlegel et al.
JOURNAL OF FLUID MECHANICS (2015)
A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems
Peter Benner et al.
SIAM REVIEW (2015)
Discovering dynamic patterns from infectious disease data using dynamic mode decomposition
Joshua L. Proctor et al.
INTERNATIONAL HEALTH (2015)
On the need for a nonlinear subscale turbulence term in POD models as exemplified for a high-Reynolds-number flow over an Ahmed body
Jan Osth et al.
JOURNAL OF FLUID MECHANICS (2014)
Sparsity-promoting dynamic mode decomposition
Mihailo R. Jovanovic et al.
PHYSICS OF FLUIDS (2014)
Dynamic mode decomposition for large and streaming datasets
Maziar S. Hemati et al.
PHYSICS OF FLUIDS (2014)
Identification strategies for model-based control
Laurent Cordier et al.
EXPERIMENTS IN FLUIDS (2013)
Generalized phase average with applications to sensor-based flow estimation of the wall-mounted square cylinder wake
J. A. Bourgeois et al.
JOURNAL OF FLUID MECHANICS (2013)
A review of indirect/non-intrusive reduced order modeling of nonlinear geometric structures
Marc P. Mignolet et al.
JOURNAL OF SOUND AND VIBRATION (2013)
Nonintrusive reduced-order modeling of parametrized time-dependent partial differential equations
Christophe Audouze et al.
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS (2013)
Proper orthogonal decomposition closure models for turbulent flows: A numerical comparison
Zhu Wang et al.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2012)
Variants of Dynamic Mode Decomposition: Boundary Condition, Koopman, and Fourier Analyses
Kevin K. Chen et al.
JOURNAL OF NONLINEAR SCIENCE (2012)
A low-cost, goal-oriented 'compact proper orthogonal decomposition' basis for model reduction of static systems
Kevin Carlberg et al.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING (2011)
Efficient non-linear model reduction via a least-squares Petrov-Galerkin projection and compressive tensor approximations
Kevin Carlberg et al.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING (2011)
Artificial viscosity proper orthogonal decomposition
Jeff Borggaard et al.
MATHEMATICAL AND COMPUTER MODELLING (2011)
Parametric free-form shape design with PDE models and reduced basis method
Toni Lassila et al.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2010)
OPTIMAL SNAPSHOT LOCATION FOR COMPUTING POD BASIS FUNCTIONS
Karl Kunisch et al.
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS (2010)
Interpolation among reduced-order matrices to obtain parameterized models for design, optimization and probabilistic analysis
Joris Degroote et al.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS (2010)
Dynamic mode decomposition of numerical and experimental data
Peter J. Schmid
JOURNAL OF FLUID MECHANICS (2010)
NONLINEAR MODEL REDUCTION VIA DISCRETE EMPIRICAL INTERPOLATION
Saifon Chaturantabut et al.
SIAM JOURNAL ON SCIENTIFIC COMPUTING (2010)
PARAMETER AND STATE MODEL REDUCTION FOR LARGE-SCALE STATISTICAL INVERSE PROBLEMS
Chad Lieberman et al.
SIAM JOURNAL ON SCIENTIFIC COMPUTING (2010)
A method for interpolating on manifolds structural dynamics reduced-order models
David Amsallem et al.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING (2009)
Enablers for robust POD models
M. Bergmann et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2009)
Stable Galerkin reduced order models for linearized compressible flow
Matthew F. Barone et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2009)
Spectral analysis of nonlinear flows
Clarence W. Rowley et al.
JOURNAL OF FLUID MECHANICS (2009)
Local improvements to reduced-order models using sensitivity analysis of the proper orthogonal decomposition
Alexander Hay et al.
JOURNAL OF FLUID MECHANICS (2009)
On the relation between energy conserving low-order models and Hamiltonian systems
Yunheng Wang et al.
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS (2009)
On the stability and extension of reduced-order Galerkin models in incompressible flows
Imran Akhtar et al.
THEORETICAL AND COMPUTATIONAL FLUID DYNAMICS (2009)
Study of High–Reynolds Number Isotropic Turbulence by Direct Numerical Simulation
Takashi Ishihara et al.
Annual Review of Fluid Mechanics (2008)
Optimal control of the cylinder wake in the laminar regime by trust-region methods and POD reduced-order models
M. Bergmann et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2008)
Explicit model predictive control for large-scale systems via model reduction
Svein Hovland et al.
JOURNAL OF GUIDANCE CONTROL AND DYNAMICS (2008)
A dual-weighted approach to order reduction in 4DVAR data assimilation
D. N. Daescu et al.
MONTHLY WEATHER REVIEW (2008)
On the structure of the energy conserving low-order models and their relation to Volterra gyrostat
S. Lakshmivarahan et al.
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS (2008)
On the relation between energy-conserving low-order models and a system of coupled generalized volterra gyrostats with nonlinear feedback
S. Lakshmivarahan et al.
JOURNAL OF NONLINEAR SCIENCE (2008)
Goal-oriented, model-constrained optimization for reduction of large-scale systems
T. Bui-Thanh et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2007)
An intrinsic stabilization scheme for proper orthogonal decomposition based low-dimensional models
Virginia L. Kalb et al.
PHYSICS OF FLUIDS (2007)
A reduced-order approach to four-dimensional variational data assimilation using proper orthogonal decomposition
Yanhua Cao et al.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS (2007)
Support vector echo-state machine for chaotic time-series prediction
Zhiwei Shi et al.
IEEE TRANSACTIONS ON NEURAL NETWORKS (2007)
Extreme learning machine: Theory and applications
Guang-Bin Huang et al.
NEUROCOMPUTING (2006)
An adaptive multi-element generalized polynomial chaos method for stochastic differential equations
XL Wan et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2005)
Model reduction for compressible flows using POD and Galerkin projection
CW Rowley et al.
PHYSICA D-NONLINEAR PHENOMENA (2004)
Reduced-order modeling: new approaches for computational physics
DJ Lucia et al.
PROGRESS IN AEROSPACE SCIENCES (2004)
A hierarchy of low-dimensional models for the transient and post-transient cylinder wake
BR Noack et al.
JOURNAL OF FLUID MECHANICS (2003)
A fourth order scheme for incompressible Boussinesq equations
JG Liu et al.
JOURNAL OF SCIENTIFIC COMPUTING (2003)
Fourth-order finite difference simulation of a differentially heated cavity
H Johnston et al.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS (2002)
Neural network modeling for near wall turbulent flow
M Milano et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2002)
Advances in large eddy simulation methodology for complex flows
P Moin
INTERNATIONAL JOURNAL OF HEAT AND FLUID FLOW (2002)
Solution to inverse heat conduction problems employing singular value decomposition and model-reduction
JR Shenefelt et al.
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER (2002)
Low-order models for the flow in a differentially heated cavity
B Podvin et al.
PHYSICS OF FLUIDS (2001)
On low-dimensional Galerkin models for fluid flow
D Rempfer
THEORETICAL AND COMPUTATIONAL FLUID DYNAMICS (2000)