The Citing articles tool gives a list of articles citing the current article. The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).
A Reduced-Order Model-Based Reinforcement Learning Approach to the Control of Nonlinear Partial Differential Equations
Aayushman Sharma and Suman Chakravorty Journal of Dynamic Systems, Measurement, and Control 148(2) (2026) https://doi.org/10.1115/1.4070654
Hyper-Reduction Techniques for Efficient Simulation of Large-Scale Engineering Systems
Suparno Bhattacharyya, Jian Tao, Eduardo Gildin and Jean C. Ragusa Archives of Computational Methods in Engineering 32(8) 5337 (2025) https://doi.org/10.1007/s11831-025-10299-4
Enhancing speedup in multifidelity training process by design automation to generate online reduced-order models in Convection–Diffusion–Reaction systems
Stabilized weighted reduced order methods for parametrized advection-dominated optimal control problems governed by partial differential equations with random inputs
A Non‐Intrusive, Online Reduced Order Method for Non‐Linear Micro‐Heterogeneous Materials
Yasemin von Hoegen, Rainer Niekamp and Jörg Schröder International Journal for Numerical Methods in Engineering 126(5) (2025) https://doi.org/10.1002/nme.70007
A Streamline Upwind Petrov-Galerkin Reduced Order Method for Advection-Dominated Partial Differential Equations Under Optimal Control
Fabio Zoccolan, Maria Strazzullo and Gianluigi Rozza Computational Methods in Applied Mathematics 25(1) 237 (2025) https://doi.org/10.1515/cmam-2023-0171
Latent feedback control of distributed systems in multiple scenarios through deep learning-based reduced order models
Matteo Tomasetto, Francesco Braghin and Andrea Manzoni Computer Methods in Applied Mechanics and Engineering 442 118030 (2025) https://doi.org/10.1016/j.cma.2025.118030
A-posteriori reduced basis error-estimates for a semi-discrete in space quasilinear parabolic PDE
Data-Driven Modal Decomposition Methods as Feature Detection Techniques for Flow Fields in Hydraulic Machinery: A Mini Review
Bin Xu, Liwen Zhang, Weibin Zhang, Yilin Deng and Teck Neng Wong Journal of Marine Science and Engineering 12(5) 813 (2024) https://doi.org/10.3390/jmse12050813
Model order reduction based on Laguerre orthogonal polynomials for parabolic equation constrained optimal control problems
Error bounds for model reduction of feedback-controlled linear stochastic dynamics on Hilbert spaces
Simon Becker, Carsten Hartmann, Martin Redmann and Lorenz Richter Stochastic Processes and their Applications 149 107 (2022) https://doi.org/10.1016/j.spa.2022.03.009
POD-Galerkin model order reduction for parametrized nonlinear time-dependent optimal flow control: an application to shallow water equations
Multivariate moment-matching for model order reduction of quadratic-bilinear systems using error bounds
Muhammad Altaf Khattak, Mian Ilyas Ahmad, Lihong Feng and Peter Benner Advanced Modeling and Simulation in Engineering Sciences 9(1) (2022) https://doi.org/10.1186/s40323-022-00236-6
Application of physics-constrained data-driven reduced-order models to shape optimization
Reduced order methods for parametric optimal flow control in coronary bypass grafts, toward patient‐specific data assimilation
Zakia Zainib, Francesco Ballarin, Stephen Fremes, Piero Triverio, Laura Jiménez‐Juan and Gianluigi Rozza International Journal for Numerical Methods in Biomedical Engineering 37(12) (2021) https://doi.org/10.1002/cnm.3367
Implicit higher-order moment matching technique for model reduction of quadratic-bilinear systems
Mian Mohammad Arsalan Asif, Mian Ilyas Ahmad, Peter Benner, Lihong Feng and Tatjana Stykel Journal of the Franklin Institute 358(3) 2015 (2021) https://doi.org/10.1016/j.jfranklin.2020.11.012
A Review of Model Order Reduction Methods for Large‐Scale Structure Systems
Kuan Lu, Kangyu Zhang, Haopeng Zhang, Xiaohui Gu, Yulin Jin, Shibo Zhao, Chao Fu, Yongfeng Yang and Zeqi Lu Shock and Vibration 2021(1) (2021) https://doi.org/10.1155/2021/6631180
Sampling-free model reduction of systems with low-rank parameterization
A two-stage surrogate model for Neo-Hookean problems based on adaptive proper orthogonal decomposition and hierarchical tensor approximation
Steffen Kastian, Dieter Moser, Lars Grasedyck and Stefanie Reese Computer Methods in Applied Mechanics and Engineering 372 113368 (2020) https://doi.org/10.1016/j.cma.2020.113368
POD–Galerkin Model Order Reduction for Parametrized Time Dependent Linear Quadratic Optimal Control Problems in Saddle Point Formulation
IUTAM Symposium on Model Order Reduction of Coupled Systems, Stuttgart, Germany, May 22–25, 2018
Jonas Siegfried Jehle, Luca Mechelli and Stefan Volkwein IUTAM Bookseries, IUTAM Symposium on Model Order Reduction of Coupled Systems, Stuttgart, Germany, May 22–25, 2018 36 127 (2020) https://doi.org/10.1007/978-3-030-21013-7_9
IUTAM Symposium on Model Order Reduction of Coupled Systems, Stuttgart, Germany, May 22–25, 2018
Steffen Kastian and Stefanie Reese IUTAM Bookseries, IUTAM Symposium on Model Order Reduction of Coupled Systems, Stuttgart, Germany, May 22–25, 2018 36 67 (2020) https://doi.org/10.1007/978-3-030-21013-7_5
A certified RB method for PDE-constrained parametric optimization problems
Review for order reduction based on proper orthogonal decomposition and outlooks of applications in mechanical systems
Kuan Lu, Yulin Jin, Yushu Chen, Yongfeng Yang, Lei Hou, Zhiyong Zhang, Zhonggang Li and Chao Fu Mechanical Systems and Signal Processing 123 264 (2019) https://doi.org/10.1016/j.ymssp.2019.01.018
A new two-sided projection technique for model reduction of quadratic-bilinear descriptor systems
Model Reduction for Parametrized Optimal Control Problems in Environmental Marine Sciences and Engineering
Maria Strazzullo, Francesco Ballarin, Renzo Mosetti and Gianluigi Rozza SIAM Journal on Scientific Computing 40(4) B1055 (2018) https://doi.org/10.1137/17M1150591
A posteriori snapshot location for POD in optimal control of linear parabolic equations
Alessandro Alla, Carmen Grässle and Michael Hinze ESAIM: Mathematical Modelling and Numerical Analysis 52(5) 1847 (2018) https://doi.org/10.1051/m2an/2018009
Nonlinear Model Reduction by Moment Matching
Giordano Scarciotti and Alessandro Astolfi Foundations and Trends in System and Control 4(3-4) 224 (2017) https://doi.org/10.1561/2600000012
Feedback Stabilization of Controlled Dynamical Systems
Giordano Scarciotti and Alessandro Astolfi Lecture Notes in Control and Information Sciences, Feedback Stabilization of Controlled Dynamical Systems 473 29 (2017) https://doi.org/10.1007/978-3-319-51298-3_2
Data-driven model reduction by moment matching for linear and nonlinear systems
Moment‐matching based model reduction for Navier–Stokes type quadratic‐bilinear descriptor systems
Mian Ilyas Ahmad, Peter Benner, Pawan Goyal and Jan Heiland ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 97(10) 1252 (2017) https://doi.org/10.1002/zamm.201500262
A Certified Trust Region Reduced Basis Approach to PDE-Constrained Optimization
Elizabeth Qian, Martin Grepl, Karen Veroy and Karen Willcox SIAM Journal on Scientific Computing 39(5) S434 (2017) https://doi.org/10.1137/16M1081981
Computing Reduced Order Models via Inner-Outer Krylov Recycling in Diffuse Optical Tomography
Meghan O'Connell, Misha E. Kilmer, Eric de Sturler and Serkan Gugercin SIAM Journal on Scientific Computing 39(2) B272 (2017) https://doi.org/10.1137/16M1062880
POD-DEIM for efficient reduction of a dynamic 2D catalytic reactor model
Recent Trends in Computational Engineering - CE2014
Eva Grimm, Martin Gubisch and Stefan Volkwein Lecture Notes in Computational Science and Engineering, Recent Trends in Computational Engineering - CE2014 105 297 (2015) https://doi.org/10.1007/978-3-319-22997-3_18
Nonlinear Parametric Inversion Using Interpolatory Model Reduction
Eric de Sturler, Serkan Gugercin, Misha E. Kilmer, et al. SIAM Journal on Scientific Computing 37(3) B495 (2015) https://doi.org/10.1137/130946320
Localized Model Reduction in Porous Media Flow∗1The authors would like to thanks the US DoD - Army Research Once and Foundation CMG for supporting this project.
Data‐driven model reduction for the Bayesian solution of inverse problems
Tiangang Cui, Youssef M. Marzouk and Karen E. Willcox International Journal for Numerical Methods in Engineering 102(5) 966 (2015) https://doi.org/10.1002/nme.4748
Progressive construction of a parametric reduced‐order model for PDE‐constrained optimization
Matthew J. Zahr and Charbel Farhat International Journal for Numerical Methods in Engineering 102(5) 1111 (2015) https://doi.org/10.1002/nme.4770
Active Flow and Combustion Control 2014
Jeffrey T. Borggaard and Serkan Gugercin Notes on Numerical Fluid Mechanics and Multidisciplinary Design, Active Flow and Combustion Control 2014 127 381 (2015) https://doi.org/10.1007/978-3-319-11967-0_23
A Posteriori Error Estimation for DEIM Reduced Nonlinear Dynamical Systems
Peter Benner, Ekkehard Sachs and Stefan Volkwein International Series of Numerical Mathematics, Trends in PDE Constrained Optimization 165 303 (2014) https://doi.org/10.1007/978-3-319-05083-6_19
Optimal flow control based on POD and MPC and an application to the cancellation of Tollmien–Schlichting waves