On the relation between finite element and finite volume schemes for compressible flows with cylindrical and spherical symmetry. - Alberto Guardone; Dante De Santis; Gianluca Geraci; M. Pasta (J. Comput. Phys., 2011)

Node-pair finite volume/finite element schemes for the Euler equation in cylindrical and spherical coordinates. - Dante De Santis; Gianluca Geraci; Alberto Guardone (J. Comput. Appl. Math., 2012)

A one-time truncate and encode multiresolution stochastic framework. - Rémi Abgrall; Pietro Marco Congedo; Gianluca Geraci (J. Comput. Phys., 2014)

Equivalence conditions for the finite volume and finite element methods in spherical coordinates. - Dante De Santis; Gianluca Geraci; Alberto Guardone (Math. Comput. Simul., 2014)

Stochastic Discrete Equation Method (sDEM) for two-phase flows. - Rémi Abgrall; Pietro Marco Congedo; Gianluca Geraci; Maria Giovanna Rodio (J. Comput. Phys., 2015)

A Novel Weakly-Intrusive Non-linear Multiresolution Framework for Uncertainty Quantification in Hyperbolic Partial Differential Equations. - Gianluca Geraci; Pietro Marco Congedo; Rémi Abgrall; Gianluca Iaccarino (J. Sci. Comput., 2016)

Polynomial chaos assessment of design tolerances for vortex-induced vibrations of two cylinders in tandem. - Gianluca Geraci; Marco D. de Tullio; Gianluca Iaccarino (Artif. Intell. Eng. Des. Anal. Manuf., 2017)

Towards a unified multiresolution scheme for treating discontinuities in differential equations with uncertainties. - Rémi Abgrall; Pietro Marco Congedo; Gianluca Geraci (Math. Comput. Simul., 2017)

Adaptive Multi-index Collocation for Uncertainty Quantification and Sensitivity Analysis. - John D. Jakeman; Michael Eldred; Gianluca Geraci; Alex A. Gorodetsky (CoRR, 2019)

MFNets: Learning network representations for multifidelity surrogate modeling. - Alex A. Gorodetsky; John D. Jakeman; Gianluca Geraci (CoRR, 2020)

Bi-fidelity approximation for uncertainty quantification and sensitivity analysis of irradiated particle-laden turbulence. - Hillary R. Fairbanks; Lluís Jofre; Gianluca Geraci; Gianluca Iaccarino; Alireza Doostan (J. Comput. Phys., 2020)

A generalized approximate control variate framework for multifidelity uncertainty quantification. - Alex A. Gorodetsky; Gianluca Geraci; Michael S. Eldred; John D. Jakeman (J. Comput. Phys., 2020)

Multifidelity data fusion in convolutional encoder/decoder networks. - Lauren Partin; Gianluca Geraci; Ahmad A. Rushdi; Michael S. Eldred; Daniele E. Schiavazzi (J. Comput. Phys., 2023)

A polynomial chaos approach for uncertainty quantification of Monte Carlo transport codes. - Gianluca Geraci; Kayla Clements; Aaron J. Olson (CoRR, 2024)

Approximation Error and Complexity Bounds for ReLU Networks on Low-Regular Function Spaces. - Owen Davis; Gianluca Geraci; Mohammad Motamed (CoRR, 2024)

NeurAM: nonlinear dimensionality reduction for uncertainty quantification through neural active manifolds. - Andrea Zanoni; Gianluca Geraci; Matteo Salvador; Alison L. Marsden; Daniele E. Schiavazzi (CoRR, 2024)

Personalized and uncertainty-aware coronary hemodynamics simulations: From Bayesian estimation to improved multi-fidelity uncertainty quantification. - Karthik Menon; Andrea Zanoni; Muhammad Owais Khan; Gianluca Geraci; Koen Nieman; Daniele E. Schiavazzi; Alison L. Marsden (Comput. Methods Programs Biomed., 2025)

Deep Learning without Global Optimization by Random Fourier Neural Networks. - Owen Davis; Gianluca Geraci; Mohammad Motamed (SIAM J. Sci. Comput., 2025)

Enabling stratified sampling in high dimensions via nonlinear dimensionality reduction. - Gianluca Geraci; Daniele E. Schiavazzi; Andrea Zanoni (CoRR, 2025)