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A multiple timescale network model of intracellular calcium concentrations in coupled neurons: Insights from ROM simulations
A. Bandera, S. Fernández-García, M. Gómez-Mármol, et al. Mathematical Modelling of Natural Phenomena 17 11 (2022) https://doi.org/10.1051/mmnp/2022016
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
A-posteriori reduced basis error-estimates for a semi-discrete in space quasilinear parabolic PDE
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
An Ensemble-Proper Orthogonal Decomposition Method for the Nonstationary Navier--Stokes Equations
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
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
New POD Error Expressions, Error Bounds, and Asymptotic Results for Reduced Order Models of Parabolic PDEs
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