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Enhancing speedup in multifidelity training process by design automation to generate online reduced-order models in Convection–Diffusion–Reaction systems
Automatic Proper Orthogonal Block Decomposition method for network dynamical systems with multiple timescales
A. Bandera, S. Fernández-García, M. Gómez-Mármol and A. Vidal Communications in Nonlinear Science and Numerical Simulation 131 107844 (2024) https://doi.org/10.1016/j.cnsns.2024.107844
Dual-grid mapping method for the advection-diffusion-reaction equation in a heterogeneous medium
On Optimal Pointwise in Time Error Bounds and Difference Quotients for the Proper Orthogonal Decomposition
Birgul Koc, Samuele Rubino, Michael Schneier, John Singler and Traian Iliescu SIAM Journal on Numerical Analysis 59(4) 2163 (2021) https://doi.org/10.1137/20M1371798
Model order reduction for left ventricular mechanics via congruency training
Jiguang Shen, John R. Singler and Yangwen Zhang Journal of Computational and Applied Mathematics 362 663 (2019) https://doi.org/10.1016/j.cam.2018.09.031
Paolo Di Achille, Jaimit Parikh, Svyatoslav Khamzin, Olga Solovyova, James Kozloski and Viatcheslav Gurev (2019) https://doi.org/10.1101/694075
Mathematical and Numerical Modeling of the Cardiovascular System and Applications
Andrea Manzoni, Diana Bonomi and Alfio Quarteroni SEMA SIMAI Springer Series, Mathematical and Numerical Modeling of the Cardiovascular System and Applications 16 115 (2018) https://doi.org/10.1007/978-3-319-96649-6_6
Model reduction of dynamical systems by proper orthogonal decomposition: Error bounds and comparison of methods using snapshots from the solution and the time derivatives
On Structure-Preserving Model Reduction for Damped Wave Propagation in Transport Networks
H. Egger, T. Kugler, B. Liljegren-Sailer, N. Marheineke and V. Mehrmann SIAM Journal on Scientific Computing 40(1) A331 (2018) https://doi.org/10.1137/17M1125303
Numerical analysis of the Leray reduced order 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
A posteriori error estimators for linear reduced‐order models using Krylov‐based integrators
D. Amsallem and U. Hetmaniuk International Journal for Numerical Methods in Engineering 102(5) 1238 (2015) https://doi.org/10.1002/nme.4753
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
Are the Snapshot Difference Quotients Needed in the Proper Orthogonal Decomposition?
Fluid-Structure Interaction and Biomedical Applications
Luca Bertagna, Marta D’Elia, Mauro Perego and Alessandro Veneziani Advances in Mathematical Fluid Mechanics, Fluid-Structure Interaction and Biomedical Applications 395 (2014) https://doi.org/10.1007/978-3-0348-0822-4_6
A Galerkin strategy with Proper Orthogonal Decomposition for parameter-dependent problems – Analysis, assessments and applications to parameter estimation
D. Chapelle, A. Gariah, P. Moireau and J. Sainte-Marie ESAIM: Mathematical Modelling and Numerical Analysis 47(6) 1821 (2013) https://doi.org/10.1051/m2an/2013090
Derivative-Extended POD Reduced-Order Modeling for Parameter Estimation
A. Schmidt, A. Potschka, S. Körkel and H. G. Bock SIAM Journal on Scientific Computing 35(6) A2696 (2013) https://doi.org/10.1137/120896694