Projection-based model reduction with dynamically transformed modes

Online adaptive basis refinement and compression for reduced-order models via vector-space sieving

(2020) Philip A. Etter et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Kolmogorov n-widths for linear dynamical systems

(2019) Benjamin Unger et al.   ADVANCES IN COMPUTATIONAL MATHEMATICS

A characteristic dynamic mode decomposition

(2019) Jörn Sesterhenn et al.   THEORETICAL AND COMPUTATIONAL FLUID DYNAMICS

Nonlinear Model Order Reduction via Lifting Transformations and Proper Orthogonal Decomposition

(2019) Boris Kramer et al.   AIAA JOURNAL

Decay of the Kolmogorov N-width for wave problems

(2019) Constantin Greif et al.   APPLIED MATHEMATICS LETTERS

Model reduction of dynamical systems on nonlinear manifolds using deep convolutional autoencoders

(2019) Kookjin Lee et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Balanced truncation for linear switched systems

(2018) Ion Victor Gosea et al.   ADVANCES IN COMPUTATIONAL MATHEMATICS

Data-driven structured realization

(2018) Philipp Schulze et al.   LINEAR ALGEBRA AND ITS APPLICATIONS

The Shifted Proper Orthogonal Decomposition: A Mode Decomposition for Multiple Transport Phenomena

(2018) J. Reiss et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Model Order Reduction for Stochastic Dynamical Systems with Continuous Symmetries

(2018) Saviz Mowlavi et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

H2-optimal model approximation by input/output-delay structured reduced order models

(2018) I. Pontes Duff et al.   SYSTEMS & CONTROL LETTERS

Transport Reversal for Model Reduction of Hyperbolic Partial Differential Equations

(2018) Donsub Rim et al.   SIAM-ASA Journal on Uncertainty Quantification

Transported snapshot model order reduction approach for parametric, steady-state fluid flows containing parameter-dependent shocks

(2018) Nirmal J. Nair et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Galerkin v. least-squares Petrov–Galerkin projection in nonlinear model reduction

(2017) Kevin Carlberg et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Model Reduction of Neutral Linear and Nonlinear Time-Invariant Time-Delay Systems With Discrete and Distributed Delays

(2016) Giordano Scarciotti et al.   IEEE TRANSACTIONS ON AUTOMATIC CONTROL

Model Reduction by Nice Selections for Linear Switched Systems

(2016) Mert Bastug et al.   IEEE TRANSACTIONS ON AUTOMATIC CONTROL

Data-driven interpolation of dynamical systems with delay

(2016) Philipp Schulze et al.   SYSTEMS & CONTROL LETTERS

Reduced basis techniques for nonlinear conservation laws

(2015) T. Taddei et al.   ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE

A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems

(2015) Peter Benner et al.   SIAM REVIEW

Model Order Reduction for Linear and Nonlinear Systems: A System-Theoretic Perspective

(2014) Ulrike Baur et al.   ARCHIVES OF COMPUTATIONAL METHODS IN ENGINEERING

Adaptiveh-refinement for reduced-order models

(2014) Kevin Carlberg   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Approximated Lax pairs for the reduced order integration of nonlinear evolution equations

(2014) Jean-Frédéric Gerbeau et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Advection modes by optimal mass transfer

(2014) Angelo Iollo et al.   PHYSICAL REVIEW E

Nonlinear reduced basis approximation of parameterized evolution equations via the method of freezing

(2013) Mario Ohlberger et al.   COMPTES RENDUS MATHEMATIQUE

Noisy dynamic simulations in the presence of symmetry: Data alignment and model reduction

(2013) Benjamin Sonday et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

An improved error bound for reduced basis approximation of linear parabolic problems

(2013) Karsten Urban et al.   MATHEMATICS OF COMPUTATION

Convergence Rates of the POD–Greedy Method

(2012) Bernard Haasdonk   ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE

Certified reduced-basis solutions of viscous Burgers equation parametrized by initial and boundary values

(2012) Alexandre Janon et al.   ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE

QLMOR: A Projection-Based Nonlinear Model Order Reduction Approach Using Quadratic-Linear Representation of Nonlinear Systems

(2011) Chenjie Gu   IEEE TRANSACTIONS ON COMPUTER-AIDED DESIGN OF INTEGRATED CIRCUITS AND SYSTEMS

Angular synchronization by eigenvectors and semidefinite programming

(2010) A. Singer   APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS

Nonlinear Model Reduction via Discrete Empirical Interpolation

(2010) Saifon Chaturantabut et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Reduced basis method for finite volume approximations of parametrized linear evolution equations

(2008) Bernard Haasdonk et al.   ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE