On error estimation for reduced-order modeling of linear non-parametric and parametric systems
ESAIM: M2AN, 55 2 (2021) 561-594
Published online: 2021-03-31
Articles citing this article
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).
Cited article:
This article has been cited by the following article(s):
Fast prediction of plasma instabilities with sparse-grid-accelerated optimized dynamic mode decomposition
Kevin Gill, Ionuţ-Gabriel Farcaş, Silke Glas and Benjamin J. FaberJournal of Computational Physics 553 114718 (2026)
https://doi.org/10.1016/j.jcp.2026.114718
Parametric Model Order Reduction by Box Clustering With Applications in Mechatronic Systems
Juan Angelo Vargas‐Fajardo, Diana Manvelyan‐Stroot, Catharina Czech, Pietro Botazzoli and Fabian DuddeckInternational Journal for Numerical Methods in Engineering 127 (10) (2026)
https://doi.org/10.1002/nme.70343
Model Reduction in Parallelization Based on Equivalent Transformation of Block Bi-Diagonal Toeplitz Matrices for Two-Dimensional Discrete-Time Systems
Zhen Li, Li-Hong Dong, Kang-Li Xu and Xiao-Yang XuMathematics 13 (16) 2565 (2025)
https://doi.org/10.3390/math13162565
Two-step Model Order Reduction for a Thermal Finite Element Model of a Power Electronics Module
P. Hickisch, J. Saak, D. Hohlfeld and T. BechtoldIFAC-PapersOnLine 59 (1) 379 (2025)
https://doi.org/10.1016/j.ifacol.2025.03.065
(2025)
https://doi.org/10.2139/ssrn.5346705
Structure-preserving interpolation reduced-order modelling for efficient simulation of parametric port-Hamiltonian systems
Yu-Han Hu, Zhen Li and Kang-Li XuInternational Journal of Systems Science 1 (2025)
https://doi.org/10.1080/00207721.2025.2546345
Antenna-Circuit Modeling for Accelerated Simultaneous Co-Simulation Using Clustering Model-Order Reduction
Jacob Martire, Derek A. McNamara and Emad GadIEEE Transactions on Microwave Theory and Techniques 73 (9) 6071 (2025)
https://doi.org/10.1109/TMTT.2025.3539939
Preserving-periodic Riemannian descent model reduction of linear discrete-time periodic systems with isometric vector transport on product manifolds
Kang-Li Xu, Li-Hong Dong, Bin Wang and Zhen LiApplied Mathematics Letters 171 109692 (2025)
https://doi.org/10.1016/j.aml.2025.109692
Model reduction based on parallelisation and Krawtchouk polynomials for discrete time systems with delays
Zhen Li, Kang-Li Xu, Yao-Lin Jiang and Xiao-Yang XuInternational Journal of Systems Science 1 (2025)
https://doi.org/10.1080/00207721.2025.2588433
Identification of dominant subspaces for model reduction of structured parametric systems
Peter Benner, Pawan Goyal and Igor Pontes DuffInternational Journal for Numerical Methods in Engineering 125 (15) (2024)
https://doi.org/10.1002/nme.7496
A posteriori error estimation for model order reduction of parametric systems
Lihong Feng, Sridhar Chellappa and Peter BennerAdvanced Modeling and Simulation in Engineering Sciences 11 (1) (2024)
https://doi.org/10.1186/s40323-024-00260-8
Semi-active damping optimization of vibrational systems using the reduced basis method
Jennifer Przybilla, Igor Pontes Duff and Peter BennerAdvances in Computational Mathematics 50 (3) (2024)
https://doi.org/10.1007/s10444-024-10141-8
Robust error assessment for reduced order vibro-acoustic problems
Quirin Aumann and Gerhard MüllerJournal of Sound and Vibration 545 117427 (2023)
https://doi.org/10.1016/j.jsv.2022.117427
A Unifying Framework for Interpolatory \({\boldsymbol{\mathcal{L}_2}}\)-Optimal Reduced-Order Modeling
Petar Mlinarić and Serkan GugercinSIAM Journal on Numerical Analysis 61 (5) 2133 (2023)
https://doi.org/10.1137/22M1516920
A reduced order modeling approach with Petrov–Galerkin projection based on hybrid snapshot simulation in Semilinear-PDEs
Feng BaiJournal of Computational Science 67 101969 (2023)
https://doi.org/10.1016/j.jocs.2023.101969
A Reduced Order Modelling Approach for Full-Maxwell Lightning Strike Analyses in Layered Backgrounds
Riccardo Torchio, Francesco Lucchini, Mattia Filippini, et al.IEEE Transactions on Power Delivery 38 (3) 1949 (2023)
https://doi.org/10.1109/TPWRD.2022.3228900
Multi‐fidelity error estimation accelerates greedy model reduction of complex dynamical systems
Lihong Feng, Luigi Lombardi, Giulio Antonini and Peter BennerInternational Journal for Numerical Methods in Engineering 124 (23) 5312 (2023)
https://doi.org/10.1002/nme.7348
Model Order Reduction for Delayed PEEC Models With Guaranteed Accuracy and Observed Stability
Lihong Feng, Luigi Lombardi, Peter Benner, Daniele Romano and Giulio AntoniniIEEE Transactions on Circuits and Systems I: Regular Papers 69 (10) 4177 (2022)
https://doi.org/10.1109/TCSI.2022.3189389
Matrix-Free Transfer Function Prediction Using Model Reduction and Machine Learning
Lihong Feng, Peter Benner, Daniele Romano and Giulio AntoniniIEEE Transactions on Microwave Theory and Techniques 70 (12) 5392 (2022)
https://doi.org/10.1109/TMTT.2022.3218854
Automatic model order reduction for systems with frequency-dependent material properties
Quirin Aumann, Elke Deckers, Stijn Jonckheere, Wim Desmet and Gerhard MüllerComputer Methods in Applied Mechanics and Engineering 397 115076 (2022)
https://doi.org/10.1016/j.cma.2022.115076