Gappy data and reconstruction procedures for flow past a cylinder D Venturi, GE Karniadakis Journal of Fluid Mechanics 519, 315-336, 2004 | 111 | 2004 |

Multi-fidelity modelling via recursive co-kriging and Gaussian–Markov random fields P Perdikaris, D Venturi, JO Royset, GE Karniadakis Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2015 | 72 | 2015 |

Stochastic low-dimensional modelling of a random laminar wake past a circular cylinder D Venturi, X Wan, GE Karniadakis Journal of Fluid Mechanics 606, 339-367, 2008 | 59 | 2008 |

A computable evolution equation for the joint response-excitation probability density function of stochastic dynamical systems D Venturi, TP Sapsis, H Cho, GE Karniadakis Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2011 | 52 | 2011 |

Stochastic bifurcation analysis of Rayleigh–Bénard convection D Venturi, X Wan, GE Karniadakis Journal of Fluid Mechanics 650, 391-413, 2010 | 48 | 2010 |

On proper orthogonal decomposition of randomly perturbed fields with applications to flow past a cylinder and natural convection over a horizontal plate D Venturi Journal of Fluid Mechanics 559, 215-254, 2006 | 46 | 2006 |

Exact PDF equations and closure approximations for advective-reactive transport D Venturi, DM Tartakovsky, AM Tartakovsky, GE Karniadakis Journal of Computational Physics 243, 323-343, 2013 | 43 | 2013 |

Karhunen–Loève expansion for multi-correlated stochastic processes H Cho, D Venturi, GE Karniadakis Probabilistic Engineering Mechanics 34, 157-167, 2013 | 41 | 2013 |

Multifidelity information fusion algorithms for high-dimensional systems and massive data sets P Perdikaris, D Venturi, GE Karniadakis SIAM Journal on Scientific Computing 38 (4), B521-B538, 2016 | 36 | 2016 |

A fully symmetric nonlinear biorthogonal decomposition theory for random fields D Venturi Physica D: Nonlinear Phenomena 240 (4-5), 415-425, 2011 | 36 | 2011 |

Multi-fidelity Gaussian process regression for prediction of random fields L Parussini, D Venturi, P Perdikaris, GE Karniadakis Journal of Computational Physics 336, 36-50, 2017 | 30 | 2017 |

Convolutionless Nakajima–Zwanzig equations for stochastic analysis in nonlinear dynamical systems D Venturi, GE Karniadakis Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2014 | 29 | 2014 |

Numerical methods for high-dimensional probability density function equations H Cho, D Venturi, GE Karniadakis Journal of Computational Physics 305, 817-837, 2016 | 27 | 2016 |

Wick–Malliavin approximation to nonlinear stochastic partial differential equations: analysis and simulations D Venturi, X Wan, R Mikulevicius, BL Rozovskii, GE Karniadakis Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2013 | 22 | 2013 |

Adaptive discontinuous Galerkin method for response-excitation PDF equations H Cho, D Venturi, GE Karniadakis SIAM Journal on Scientific Computing 35 (4), B890-B911, 2013 | 21 | 2013 |

Mori-Zwanzig approach to uncertainty quantification D Venturi, H Cho, GE Karniadakis Handbook of uncertainty quantification, 1-36, 2016 | 18 | 2016 |

New evolution equations for the joint response-excitation probability density function of stochastic solutions to first-order nonlinear PDEs D Venturi, GE Karniadakis Journal of Computational Physics 231 (21), 7450-7474, 2012 | 18 | 2012 |

The numerical approximation of nonlinear functionals and functional differential equations D Venturi Physics Reports 732, 1-102, 2018 | 14 | 2018 |

Supercritical quasi-conduction states in stochastic Rayleigh–Bénard convection D Venturi, M Choi, GE Karniadakis International Journal of Heat and Mass Transfer 55 (13-14), 3732-3743, 2012 | 14 | 2012 |

Statistical analysis and simulation of random shocks in stochastic Burgers equation H Cho, D Venturi, GE Karniadakis Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2014 | 13 | 2014 |