Reliable real-time solution of parametrized partial differential equations: Reduced-basis output bound methods C Prud’Homme, DV Rovas, K Veroy, L Machiels, Y Maday, AT Patera, ... J. Fluids Eng. 124 (1), 70-80, 2002 | 772 | 2002 |

Certified real‐time solution of the parametrized steady incompressible Navier–Stokes equations: rigorous reduced‐basis *a posteriori* error boundsK Veroy, AT Patera International Journal for Numerical Methods in Fluids 47 (8‐9), 773-788, 2005 | 477 | 2005 |

A posteriori error bounds for reduced-basis approximation of parametrized noncoercive and nonlinear elliptic partial differential equations K Veroy, C Prud'Homme, D Rovas, A Patera 16th AIAA computational fluid dynamics conference, 3847, 2003 | 404 | 2003 |

On the stability of the reduced basis method for Stokes equations in parametrized domains G Rozza, K Veroy Computer methods in applied mechanics and engineering 196 (7), 1244-1260, 2007 | 358 | 2007 |

Certified real-time solution of parametrized partial differential equations N Ngoc Cuong, K Veroy, AT Patera Handbook of Materials Modeling: Methods, 1529-1564, 2005 | 250 | 2005 |

Reduced-basis approximation of the viscous Burgers equation: rigorous a posteriori error bounds K Veroy, C Prud'Homme, AT Patera Comptes Rendus. Mathématique 337 (9), 619-624, 2003 | 143 | 2003 |

Certified reduced basis methods for parametrized saddle point problems AL Gerner, K Veroy SIAM Journal on Scientific Computing 34 (5), A2812-A2836, 2012 | 130 | 2012 |

“Natural norm” a posteriori error estimators for reduced basis approximations S Sen, K Veroy, DBP Huynh, S Deparis, NC Nguyen, AT Patera Journal of Computational Physics 217 (1), 37-62, 2006 | 130 | 2006 |

Reduced-basis methods applied to problems in elasticity: Analysis and applications KPL Veroy Massachusetts Institute of Technology, 2003 | 96 | 2003 |

A posteriori error estimation for reduced-basis approximation of parametrized elliptic coercive partial differential equations:“convex inverse” bound conditioners K Veroy, DV Rovas, AT Patera ESAIM: Control, Optimisation and Calculus of Variations 8, 1007-1028, 2002 | 90 | 2002 |

A mathematical and computational framework for reliable real-time solution of parametrized partial differential equations C Prud'Homme, DV Rovas, K Veroy, AT Patera ESAIM: Mathematical Modelling and Numerical Analysis 36 (5), 747-771, 2002 | 84 | 2002 |

A certified trust region reduced basis approach to PDE-constrained optimization E Qian, M Grepl, K Veroy, K Willcox SIAM Journal on Scientific Computing 39 (5), S434-S460, 2017 | 77 | 2017 |

Certified reduced basis methods for parametrized elliptic optimal control problems with distributed controls M Kärcher, Z Tokoutsi, MA Grepl, K Veroy Journal of Scientific Computing 75, 276-307, 2018 | 52 | 2018 |

Reduced basis approximation and a posteriori error bounds for 4D-Var data assimilation M Kärcher, S Boyaval, MA Grepl, K Veroy Optimization and Engineering 19 (3), 663-695, 2018 | 49 | 2018 |

Certified reduced basis methods for parametrized distributed elliptic optimal control problems with control constraints E Bader, M Kärcher, MA Grepl, K Veroy SIAM Journal on Scientific Computing 38 (6), A3921-A3946, 2016 | 49 | 2016 |

Certified rapid solution of partial differential equations for real-time parameter estimation and optimization MA Grepl, NC Nguyen, K Veroy, AT Patera, GR Liu Real-time PDE-constrained optimization, 199-216, 2007 | 40 | 2007 |

Reduced basis a posteriori error bounds for the Stokes equations in parametrized domains: a penalty approach AL Gerner, K Veroy Mathematical Models and Methods in Applied Sciences 21 (10), 2103-2134, 2011 | 32 | 2011 |

Simulation study of the cooling effect of blood vessels and blood coagulation in hepatic radio-frequency ablation N Vaidya, M Baragona, V Lavezzo, R Maessen, K Veroy International Journal of Hyperthermia 38 (1), 95-104, 2021 | 25 | 2021 |

Certified reduced basis method in geosciences: addressing the challenge of high-dimensional problems D Degen, K Veroy, F Wellmann Computational Geosciences 24 (1), 241-259, 2020 | 24 | 2020 |

3D-VAR for parameterized partial differential equations: a certified reduced basis approach N Aretz-Nellesen, MA Grepl, K Veroy Advances in Computational Mathematics 45, 2369-2400, 2019 | 20 | 2019 |