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Cited article:
Bernard Haasdonk, Mario Ohlberger
ESAIM: M2AN, 42 2 (2008) 277-302
Published online: 2008-03-27
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Environmental Modelling & Software 93 180 (2017)
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IFAC-PapersOnLine 48 (1) 9 (2015)
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SIAM Journal on Scientific Computing 37 (6) B910 (2015)
DOI: 10.1137/140998603
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E. Bader, Z. Zhang and K. Veroy
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A-posteriori error analysis for lithium-ion concentrations in batteries utilizing the reduced-basis method
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Mathematical and Computer Modelling of Dynamical Systems 22 (4) 362 (2016)
DOI: 10.1080/13873954.2016.1198387
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Journal of Scientific Computing (2017)
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DOI: 10.1186/s40323-016-0076-6
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Applied Mathematical Modelling (2016)
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Peng Chen and Alfio Quarteroni
Computer Methods in Applied Mechanics and Engineering 267 233 (2013)
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Optimal Local Approximation Spaces for Component-Based Static Condensation Procedures
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SIAM Journal on Scientific Computing 38 (5) A3318 (2016)
DOI: 10.1137/15M1009603
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Model Reduction for Transport-Dominated Problems via Online Adaptive Bases and Adaptive Sampling
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SIAM Journal on Scientific Computing 42 (5) A2803 (2020)
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CERTIFIED REDUCED BASIS METHODS FOR NONAFFINE LINEAR TIME-VARYING AND NONLINEAR PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS
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SIAM Review 57 (4) 483 (2015)
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SIAM Journal on Scientific Computing 34 (2) A937 (2012)
DOI: 10.1137/10081157X
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SIAM Journal on Numerical Analysis 50 (5) 2656 (2012)
DOI: 10.1137/110835372
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Reduced Basis Collocation Methods for Partial Differential Equations with Random Coefficients
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SIAM/ASA Journal on Uncertainty Quantification 1 (1) 192 (2013)
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A Posteriori Error Estimation for DEIM Reduced Nonlinear Dynamical Systems
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SIAM Journal on Scientific Computing 36 (2) A311 (2014)
DOI: 10.1137/120899042
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ESAIM: Control, Optimisation and Calculus of Variations 22 (3) 625 (2016)
DOI: 10.1051/cocv/2015019
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Lyapunov-Based Error Bounds for the Reduced-Basis Method
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IFAC-PapersOnLine 49 (8) 1 (2016)
DOI: 10.1016/j.ifacol.2016.07.409
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Fast simulations of patient-specific haemodynamics of coronary artery bypass grafts based on a POD–Galerkin method and a vascular shape parametrization
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Journal of Computational Physics 315 609 (2016)
DOI: 10.1016/j.jcp.2016.03.065
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A fast, certified and “tuning free” two-field reduced basis method for the metamodelling of affinely-parametrised elasticity problems
K.C. Hoang, P. Kerfriden and S.P.A. Bordas
Computer Methods in Applied Mechanics and Engineering 298 121 (2016)
DOI: 10.1016/j.cma.2015.08.016
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Failure Probability Estimation of Linear Time Varying Systems by Progressive Refinement of Reduced Order Models
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SIAM/ASA Journal on Uncertainty Quantification 7 (3) 1007 (2019)
DOI: 10.1137/18M1165840
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A certified natural-norm successive constraint method for parametric inf–sup lower bounds
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Applied Numerical Mathematics 99 98 (2016)
DOI: 10.1016/j.apnum.2015.09.003
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Finite Volumes for Complex Applications VI Problems & Perspectives
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Springer Proceedings in Mathematics, Finite Volumes for Complex Applications VI Problems & Perspectives 4 369 (2011)
DOI: 10.1007/978-3-642-20671-9_39
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Lecture Notes in Computational Science and Engineering, Recent Advances in Computational Engineering 124 145 (2018)
DOI: 10.1007/978-3-319-93891-2_9
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Felix Black, Philipp Schulze and Benjamin Unger
ESAIM: Mathematical Modelling and Numerical Analysis 54 (6) 2011 (2020)
DOI: 10.1051/m2an/2020046
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Accelerating CFD solver computation time with reduced‐order modeling in a multigrid environment
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International Journal for Numerical Methods in Fluids 93 (2) 462 (2021)
DOI: 10.1002/fld.4892
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Parametric domain decomposition for accurate reduced order models: Applications of MP-LROM methodology
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Journal of Computational and Applied Mathematics 340 629 (2018)
DOI: 10.1016/j.cam.2017.11.018
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A Flow feature detection framework for large-scale computational data based on incremental proper orthogonal decomposition and data mining
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DOI: 10.1080/10618562.2018.1508657
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A Reduced Basis Approach for Modeling the Movement of Nuclear Reactor Control Rods
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DOI: 10.1115/1.4031945
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DOI: 10.1002/nme.5942
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Journal of Computational Physics 423 109787 (2020)
DOI: 10.1016/j.jcp.2020.109787
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Adaptive basis construction and improved error estimation for parametric nonlinear dynamical systems
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SIAM Journal on Matrix Analysis and Applications 38 (2) 478 (2017)
DOI: 10.1137/15M1027097
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Computing Reduced Order Models via Inner-Outer Krylov Recycling in Diffuse Optical Tomography
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SIAM Journal on Scientific Computing 39 (2) B272 (2017)
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SIAM Review 60 (3) 550 (2018)
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SIAM Journal on Scientific Computing 39 (4) A1766 (2017)
DOI: 10.1137/16M1071493
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Interpolation of Functions with Parameter Dependent Jumps by Transformed Snapshots
G. Welper
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DOI: 10.1137/16M1059904
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Data-Driven Reduced Model Construction with Time-Domain Loewner Models
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DOI: 10.1016/j.cam.2018.09.018
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AIAA Journal 56 (12) 4927 (2018)
DOI: 10.2514/1.J056161
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DOI: 10.1016/j.compfluid.2018.01.035
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Limited-memory adaptive snapshot selection for proper orthogonal decomposition
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Reduced basis approximation and a posteriori error estimation for the time-dependent viscous Burgers’ equation
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Calcolo 46 (3) 157 (2009)
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DOI: 10.1016/j.cma.2016.08.006
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Lecture Notes in Computational Science and Engineering, Spectral and High Order Methods for Partial Differential Equations 76 179 (2011)
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SIAM Journal on Scientific Computing 41 (2) A900 (2019)
DOI: 10.1137/18M120364X
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Advances in DUNE 77 (2012)
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The reduced basis method applied to transport equations of a lithium-ion battery
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COMPEL - The international journal for computation and mathematics in electrical and electronic engineering 32 (5) 1760 (2013)
DOI: 10.1108/COMPEL-04-2013-0115
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Journal of Computational Physics 317 148 (2016)
DOI: 10.1016/j.jcp.2016.04.029
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Mathematics in Industry, Progress in Industrial Mathematics at ECMI 2018 30 405 (2019)
DOI: 10.1007/978-3-030-27550-1_51
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SN Applied Sciences 2 (12) (2020)
DOI: 10.1007/s42452-020-03958-7
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DOI: 10.1007/s10444-019-09701-0
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DOI: 10.1016/j.cma.2019.112688
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DOI: 10.1007/s10444-018-9653-1
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Water Resources Research 55 (3) 2390 (2019)
DOI: 10.1029/2018WR023954
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Victor DeCaria, Traian Iliescu, William Layton, Michael McLaughlin and Michael Schneier
SIAM Journal on Numerical Analysis 58 (1) 565 (2020)
DOI: 10.1137/19M1246444
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Reduced Collocation Method for Time-Dependent Parametrized Partial Differential Equations
Rezvan Ghaffari and Farideh Ghoreishi
Bulletin of the Iranian Mathematical Society 45 (5) 1487 (2019)
DOI: 10.1007/s41980-019-00210-w
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Reduced basis method for managed pressure drilling based on a model with local nonlinearities
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International Journal for Numerical Methods in Engineering 121 (23) 5178 (2020)
DOI: 10.1002/nme.6362
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DOI: 10.1016/j.jcp.2018.05.019
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Journal of Computational Physics 371 214 (2018)
DOI: 10.1016/j.jcp.2018.05.027
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Efficient geometrical parametrization for finite‐volume‐based reduced order methods
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DOI: 10.1002/nme.6324
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Optimal Control Applications and Methods 41 (4) 1352 (2020)
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Adaptive reduced order modeling for nonlinear dynamical systems through a new a posteriori error estimator: Application to uncertainty quantification
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International Journal for Numerical Methods in Engineering 121 (15) 3417 (2020)
DOI: 10.1002/nme.6365
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Certified Offline-Free Reduced Basis (COFRB) Methods for Stochastic Differential Equations Driven by Arbitrary Types of Noise
Yong Liu, Tianheng Chen, Yanlai Chen and Chi-Wang Shu
Journal of Scientific Computing 81 (3) 1210 (2019)
DOI: 10.1007/s10915-019-00976-5
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DOI: 10.1080/10618562.2019.1686486
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Data-driven POD-Galerkin reduced order model for turbulent flows
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Journal of Computational Physics 416 109513 (2020)
DOI: 10.1016/j.jcp.2020.109513
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Well‐scaled, a‐posteriori error estimation for model order reduction of large second‐order mechanical systems
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ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 100 (8) e201900186 (2020)
DOI: 10.1002/zamm.201900186
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