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 | 231 | 2015 |

Gappy data and reconstruction procedures for flow past a cylinder D Venturi, GE Karniadakis Journal of Fluid Mechanics 519, 315-336, 2004 | 195 | 2004 |

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 | 134 | 2017 |

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 | 95 | 2016 |

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 …, 2012 | 80 | 2012 |

Karhunen–Loève expansion for multi-correlated stochastic processes H Cho, D Venturi, GE Karniadakis Probabilistic Engineering Mechanics 34, 157-167, 2013 | 77 | 2013 |

Stochastic bifurcation analysis of Rayleigh–Bénard convection D Venturi, X Wan, GE Karniadakis Journal of fluid mechanics 650, 391-413, 2010 | 76 | 2010 |

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 | 71 | 2013 |

Stochastic low-dimensional modelling of a random laminar wake past a circular cylinder D Venturi, X Wan, GEM Karniadakis Journal of Fluid Mechanics 606, 339-367, 2008 | 64 | 2008 |

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 | 63 | 2006 |

Numerical methods for high-dimensional probability density function equations H Cho, D Venturi, GE Karniadakis Journal of Computational Physics 305, 817-837, 2016 | 62 | 2016 |

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 | 57 | 2014 |

Rank-adaptive tensor methods for high-dimensional nonlinear PDEs A Dektor, A Rodgers, D Venturi Journal of Scientific Computing 88 (2), 36, 2021 | 53 | 2021 |

The numerical approximation of nonlinear functionals and functional differential equations D Venturi Physics Reports 732, 1-102, 2018 | 44 | 2018 |

A fully symmetric nonlinear biorthogonal decomposition theory for random fields D Venturi Physica D: Nonlinear Phenomena 240 (4-5), 415-425, 2011 | 40 | 2011 |

Data-driven closures for stochastic dynamical systems C Brennan, D Venturi Journal of Computational Physics 372, 281-298, 2018 | 39 | 2018 |

On the estimation of the Mori-Zwanzig memory integral Y Zhu, JM Dominy, D Venturi Journal of Mathematical Physics 59 (10), 2018 | 38 | 2018 |

Parallel tensor methods for high-dimensional linear PDEs AMP Boelens, D Venturi, DM Tartakovsky Journal of Computational Physics 375, 519-539, 2018 | 35 | 2018 |

EOF‐based constrained sensor placement and field reconstruction from noisy ocean measurements: Application to Nantucket Sound X Yang, D Venturi, C Chen, C Chryssostomidis, GE Karniadakis Journal of Geophysical Research: Oceans 115 (C12), 2010 | 34 | 2010 |

Faber approximation of the Mori–Zwanzig equation Y Zhu, D Venturi Journal of Computational Physics 372, 694-718, 2018 | 33 | 2018 |