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A Finite-Element-Based Fast Frequency Sweep Framework Including Excitation by Frequency-Dependent Waveguide Mode Patterns
Rolf Baltes, Alwin Schultschik, Ortwin Farle and Romanus Dyczij-Edlinger IEEE Transactions on Microwave Theory and Techniques 65(7) 2249 (2017) https://doi.org/10.1109/TMTT.2017.2679181
Error modeling for surrogates of dynamical systems using machine learning
Sumeet Trehan, Kevin T. Carlberg and Louis J. Durlofsky International Journal for Numerical Methods in Engineering 112(12) 1801 (2017) https://doi.org/10.1002/nme.5583
Compact and Passive Time-Domain Models Including Dispersive Materials Based on Order-Reduction in the Frequency Domain
Rolf Baltes, Ortwin Farle and Romanus Dyczij-Edlinger IEEE Transactions on Microwave Theory and Techniques 65(8) 2650 (2017) https://doi.org/10.1109/TMTT.2017.2708095
Peng Chen and Christoph Schwab Lecture Notes in Computational Science and Engineering, Sparse Grids and Applications - Stuttgart 2014 109 1 (2016) https://doi.org/10.1007/978-3-319-28262-6_1
Certified Reduced Basis Methods for Parametrized Partial Differential Equations
Jan S. Hesthaven, Gianluigi Rozza and Benjamin Stamm SpringerBriefs in Mathematics, Certified Reduced Basis Methods for Parametrized Partial Differential Equations 27 (2016) https://doi.org/10.1007/978-3-319-22470-1_3
Reduced basis approximation anda posteriorierror estimates for parametrized elliptic eigenvalue problems
Ivan Fumagalli, Andrea Manzoni, Nicola Parolini and Marco Verani ESAIM: Mathematical Modelling and Numerical Analysis 50(6) 1857 (2016) https://doi.org/10.1051/m2an/2016009
A Goal-Oriented Reduced Basis Methods-Accelerated Generalized Polynomial Chaos Algorithm
Jiahua Jiang, Yanlai Chen and Akil Narayan SIAM/ASA Journal on Uncertainty Quantification 4(1) 1398 (2016) https://doi.org/10.1137/16M1055736
Greedy controllability of finite dimensional linear systems
Reduced Order Methods for Modeling and Computational Reduction
Toni Lassila, Andrea Manzoni, Alfio Quarteroni and Gianluigi Rozza Reduced Order Methods for Modeling and Computational Reduction 235 (2014) https://doi.org/10.1007/978-3-319-02090-7_9
A Dimensional Reduction Approach Based on the Application of Reduced Basis Methods in the Framework of Hierarchical Model Reduction
To Be or Not to Be Intrusive? The Solution of Parametric and Stochastic Equations---the “Plain Vanilla” Galerkin Case
Loïc Giraldi, Alexander Litvinenko, Dishi Liu, Hermann G. Matthies and Anthony Nouy SIAM Journal on Scientific Computing 36(6) A2720 (2014) https://doi.org/10.1137/130942802
Double greedy algorithms: Reduced basis methods for transport dominated problems
Wolfgang Dahmen, Christian Plesken and Gerrit Welper ESAIM: Mathematical Modelling and Numerical Analysis 48(3) 623 (2014) https://doi.org/10.1051/m2an/2013103
High-Dimensional Adaptive Sparse Polynomial Interpolation and Applications to Parametric PDEs
A. Abdulle and Y. Bai Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 372(2021) 20130388 (2014) https://doi.org/10.1098/rsta.2013.0388
Efficient greedy algorithms for high-dimensional parameter spaces with applications to empirical interpolation and reduced basis methods
Jan S. Hesthaven, Benjamin Stamm and Shun Zhang ESAIM: Mathematical Modelling and Numerical Analysis 48(1) 259 (2014) https://doi.org/10.1051/m2an/2013100
Mathematical and numerical results on the parametric sensitivity of a ROM-POD of the Burgers equation
Reduced Order Methods for Modeling and Computational Reduction
Harbir Antil, Matthias Heinkenschloss and Danny C. Sorensen Reduced Order Methods for Modeling and Computational Reduction 101 (2014) https://doi.org/10.1007/978-3-319-02090-7_4
Extraction of Quantifiable Information from Complex Systems
Wolfgang Dahmen, Chunyan Huang, Gitta Kutyniok, et al. Lecture Notes in Computational Science and Engineering, Extraction of Quantifiable Information from Complex Systems 102 25 (2014) https://doi.org/10.1007/978-3-319-08159-5_2
On the sensitivity of the POD technique for a parameterized quasi-nonlinear parabolic equation
Nissrine Akkari, Aziz Hamdouni, Erwan Liberge and Mustapha Jazar Advanced Modeling and Simulation in Engineering Sciences 1(1) (2014) https://doi.org/10.1186/s40323-014-0014-4
Reduced Order Methods for Modeling and Computational Reduction
Analysis and Numerics of Partial Differential Equations
Toni Lassila, Andrea Manzoni, Alfio Quarteroni and Gianluigi Rozza Springer INdAM Series, Analysis and Numerics of Partial Differential Equations 4 307 (2013) https://doi.org/10.1007/978-88-470-2592-9_16
Efficient finite-element computation of far-fields of phased arrays by order reduction
Alexander Sommer, Oszkár Bíró, David A. Lowther and Piergiorgio Alotto, Ortwin Farle and Romanus Dyczij-Edlinger COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering 32(5) 1721 (2013) https://doi.org/10.1108/COMPEL-04-2013-0120
Greedy Algorithms for Reduced Bases in Banach Spaces
Sparse adaptive Taylor approximation algorithms for parametric and stochastic elliptic PDEs
Abdellah Chkifa, Albert Cohen, Ronald DeVore and Christoph Schwab ESAIM: Mathematical Modelling and Numerical Analysis 47(1) 253 (2013) https://doi.org/10.1051/m2an/2012027
Numerical Mathematics and Advanced Applications 2011
A Galerkin strategy with Proper Orthogonal Decomposition for parameter-dependent problems – Analysis, assessments and applications to parameter estimation
Certified reduced basis method for electromagnetic scattering and radar cross section estimation
Yanlai Chen, Jan S. Hesthaven, Yvon Maday, Jerónimo Rodríguez and Xueyu Zhu Computer Methods in Applied Mechanics and Engineering 233-236 92 (2012) https://doi.org/10.1016/j.cma.2012.04.013
A fast Monte–Carlo method with a reduced basis of control variates applied to uncertainty propagation and Bayesian estimation