Numerical Treatment of Defective Boundary Conditions for the Navier-Stokes Equations. - Luca Formaggia; Jean-Frédéric Gerbeau; Fabio Nobile; Alfio Quarteroni (SIAM J. Numer. Anal., 2002)

A Dynamic Data Driven Computational Infrastructure for Reliable Computer Simulations. - J. Tinsley Oden; James C. Browne; Ivo Babuska; Chandrajit L. Bajaj; Leszek F. Demkowicz; L. Gray; Jon Bass; Yusheng Feng; Serge Prudhomme; Fabio Nobile; Raúl Tempone (International Conference on Computational Science, 2004)

Worst case scenario analysis for elliptic problems with uncertainty. - Ivo Babuska; Fabio Nobile; Raúl Tempone (Numerische Mathematik, 2005)

A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data. - Ivo Babuska; Fabio Nobile; Raúl Tempone (SIAM J. Numer. Anal., 2007)

Fluid-structure partitioned procedures based on Robin transmission conditions. - Santiago Badia; Fabio Nobile; Christian Vergara (J. Comput. Phys., 2008)

A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data. - Fabio Nobile; Raúl Tempone; Clayton G. Webster (SIAM J. Numer. Anal., 2008)

An Anisotropic Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data. - Fabio Nobile; Raúl Tempone; Clayton G. Webster (SIAM J. Numer. Anal., 2008)

An Effective Fluid-Structure Interaction Formulation for Vascular Dynamics by Generalized Robin Conditions. - Fabio Nobile; Christian Vergara (SIAM J. Sci. Comput., 2008)

A model-based block-triangular preconditioner for the Bidomain system in electrocardiology. - Luca Gerardo-Giorda; L. Mirabella; Fabio Nobile; Mauro Perego; Alessandro Veneziani (J. Comput. Phys., 2009)

Coupling strategies for the numerical simulation of blood flow in deformable arteries by 3D and 1D models. - Fabio Nobile (Math. Comput. Model., 2009)

Analysis and Optimization of Robin-Robin Partitioned Procedures in Fluid-Structure Interaction Problems. - Luca Gerardo-Giorda; Fabio Nobile; Christian Vergara (SIAM J. Numer. Anal., 2010)

Electromechanical Coupling in Cardiac Dynamics: The Active Strain Approach. - D. Ambrosi; Gianni Arioli; Fabio Nobile; Alfio Quarteroni (SIAM J. Appl. Math., 2011)

A stochastic collocation method for the second order wave equation with a discontinuous random speed. - Mohammad Motamed; Fabio Nobile; Raúl Tempone (Numerische Mathematik, 2013)

Approximation of Quantities of Interest in Stochastic PDEs by the Random Discrete L2 Projection on Polynomial Spaces. - Giovanni Migliorati; Fabio Nobile; Erik von Schwerin; Raúl Tempone (SIAM J. Sci. Comput., 2013)

Convergence of quasi-optimal Stochastic Galerkin methods for a class of PDES with random coefficients. - Joakim Beck; Fabio Nobile; Lorenzo Tamellini; Raúl Tempone (Comput. Math. Appl., 2014)

Analysis of Discrete L2 Projection on Polynomial Spaces with Random Evaluations. - Giovanni Migliorati; Fabio Nobile; Erik von Schwerin; Raúl Tempone (Found. Comput. Math., 2014)

Inexact accurate partitioned algorithms for fluid-structure interaction problems with finite elasticity in haemodynamics. - Fabio Nobile; Matteo Pozzoli; Christian Vergara (J. Comput. Phys., 2014)

Mixed Finite Elements for Spatial Regression with PDE Penalization. - Laura Azzimonti; Fabio Nobile; Laura M. Sangalli; Piercesare Secchi (SIAM/ASA J. Uncertain. Quantification, 2014)

Perturbation Analysis for the Darcy Problem with Log-Normal Permeability. - Francesca Bonizzoni; Fabio Nobile (SIAM/ASA J. Uncertain. Quantification, 2014)

Patient-specific generation of the Purkinje network driven by clinical measurements of a normal propagation. - Christian Vergara; Simone Palamara; Domenico Catanzariti; Fabio Nobile; Elena Faggiano; Cesarino Pangrazzi; Maurizio Centonze; Massimiliano Maines; Alfio Quarteroni; Giuseppe Vergara (Medical Biol. Eng. Comput., 2014)

Analysis and computation of the elastic wave equation with random coefficients. - Mohammad Motamed; Fabio Nobile; Raúl Tempone (Comput. Math. Appl., 2015)

Analysis of discrete least squares on multivariate polynomial spaces with evaluations at low-discrepancy point sets. - Giovanni Migliorati; Fabio Nobile (J. Complex., 2015)

An effective algorithm for the generation of patient-specific Purkinje networks in computational electrocardiology. - Simone Palamara; Christian Vergara; Elena Faggiano; Fabio Nobile (J. Comput. Phys., 2015)

Low-Rank Tensor Approximation for High-Order Correlation Functions of Gaussian Random Fields. - Daniel Kressner; Rajesh Kumar; Fabio Nobile; Christine Tobler (SIAM/ASA J. Uncertain. Quantification, 2015)

Convergence estimates in probability and in expectation for discrete least squares with noisy evaluations at random points. - Giovanni Migliorati; Fabio Nobile; Raúl Tempone (J. Multivar. Anal., 2015)

Error Analysis of the Dynamically Orthogonal Approximation of Time Dependent Random PDEs. - Eleonora Musharbash; Fabio Nobile; T. Zhou (SIAM J. Sci. Comput., 2015)

Analytic regularity and collocation approximation for elliptic PDEs with random domain deformations. - Julio Enrique Castrillón-Candás; Fabio Nobile; Raúl Tempone (Comput. Math. Appl., 2016)

Multi-index Stochastic Collocation Convergence Rates for Random PDEs with Parametric Regularity. - Abdul-Lateef Haji-Ali; Fabio Nobile; Lorenzo Tamellini; Raúl Tempone (Found. Comput. Math., 2016)

Multi-index Monte Carlo: when sparsity meets sampling. - Abdul-Lateef Haji-Ali; Fabio Nobile; Raúl Tempone (Numerische Mathematik, 2016)

Convergence of quasi-optimal sparse-grid approximation of Hilbert-space-valued functions: application to random elliptic PDEs. - Fabio Nobile; Lorenzo Tamellini; Raúl Tempone (Numerische Mathematik, 2016)

Dual Dynamically Orthogonal approximation of incompressible Navier Stokes equations with random boundary conditions. - Eleonora Musharbash; Fabio Nobile (J. Comput. Phys., 2018)

Multilevel Monte Carlo Approximation of Functions. - Sebastian Krumscheid; Fabio Nobile (SIAM/ASA J. Uncertain. Quantification, 2018)

A theoretical study of COmpRessed SolvING for advection-diffusion-reaction problems. - Simone Brugiapaglia; Fabio Nobile; Stefano Micheletti; Simona Perotto (Math. Comput., 2018)

Sparse approximation of multilinear problems with applications to kernel-based methods in UQ. - Fabio Nobile; Raúl Tempone; Sören Wolfers (Numerische Mathematik, 2018)

A Posteriori Error Estimation for the Stochastic Collocation Finite Element Method. - Diane Guignard; Fabio Nobile (SIAM J. Numer. Anal., 2018)

Modeling spatially dependent functional data via regression with differential regularization. - Eleonora Arnone; Laura Azzimonti; Fabio Nobile; Laura M. Sangalli (J. Multivar. Anal., 2019)

Least-Squares Padé approximation of parametric and stochastic Helmholtz maps. - Francesca Bonizzoni; Fabio Nobile; Ilaria Perugia; Davide Pradovera (Adv. Comput. Math., 2020)

Integration of activation maps of epicardial veins in computational cardiac electrophysiology. - Simone Stella; Christian Vergara; Massimiliano Maines; Domenico Catanzariti; Pasquale Claudio Africa; Cristina Demattè; Maurizio Centonze; Fabio Nobile; Maurizio Del Greco; Alfio Quarteroni (Comput. Biol. Medicine, 2020)

Regularity and sparse approximation of the recursive first moment equations for the lognormal Darcy problem. - Francesca Bonizzoni; Fabio Nobile (Comput. Math. Appl., 2020)

Existence of dynamical low rank approximations for random semi-linear evolutionary equations on the maximal interval. - Yoshihito Kazashi; Fabio Nobile (CoRR, 2020)

Non-intrusive double-greedy parametric model reduction by interpolation of frequency-domain rational surrogates. - Fabio Nobile; Davide Pradovera (CoRR, 2020)

Quantifying uncertain system outputs via the multilevel Monte Carlo method - Part I: Central moment estimation. - Sebastian Krumscheid; Fabio Nobile; Michele Pisaroni (J. Comput. Phys., 2020)

Sparse Polynomial Chaos expansions using variational relevance vector machines. - Panagiotis Tsilifis; Iason Papaioannou; Daniel Straub; Fabio Nobile (J. Comput. Phys., 2020)

Fast Least-Squares Padé approximation of problems with normal operators and meromorphic structure. - Francesca Bonizzoni; Fabio Nobile; Ilaria Perugia; Davide Pradovera (Math. Comput., 2020)

A hybrid collocation-perturbation approach for PDEs with random domains. - Julio Enrique Castrillón-Candás; Fabio Nobile; Raúl Tempone (Adv. Comput. Math., 2021)

Analysis of a class of Multi-Level Markov Chain Monte Carlo algorithms based on Independent Metropolis-Hastings. - Juan Pablo Madrigal-Cianci; Fabio Nobile; Raúl Tempone (CoRR, 2021)

Uncertainty Quantification by MLMC and Local Time-stepping For Wave Propagation. - Marcus J. Grote; Simon Michel; Fabio Nobile (CoRR, 2021)

PDE-Constrained Optimal Control Problems with Uncertain Parameters using SAGA. - Matthieu Martin; Fabio Nobile (SIAM/ASA J. Uncertain. Quantification, 2021)

Function integration, reconstruction and approximation using rank-1 lattices. - Frances Y. Kuo; Giovanni Migliorati; Fabio Nobile; Dirk Nuyens (Math. Comput., 2021)

Multilevel ensemble Kalman filtering for spatio-temporal processes. - Alexey Chernov; Håkon Hoel; Kody J. H. Law; Fabio Nobile; Raúl Tempone (Numerische Mathematik, 2021)

Stability properties of a projector-splitting scheme for dynamical low rank approximation of random parabolic equations. - Yoshihito Kazashi; Fabio Nobile; Eva Vidlicková (Numerische Mathematik, 2021)

Generalized parallel tempering on Bayesian inverse problems. - Jonas Latz; Juan P. Madrigal-Cianci; Fabio Nobile; Raúl Tempone (Stat. Comput., 2021)

Quantifying uncertain system outputs via the multi-level Monte Carlo method - distribution and robustness measures. - Quentin Ayoul-Guilmard; Sundar Ganesh; Sebastian Krumscheid; Fabio Nobile (CoRR, 2022)

Stable high-order randomized cubature formulae in arbitrary dimension. - Giovanni Migliorati; Fabio Nobile (J. Approx. Theory, 2022)

Uncertainty Quantification by Multilevel Monte Carlo and Local Time-Stepping for Wave Propagation. - Marcus J. Grote; Simon Michel; Fabio Nobile (SIAM/ASA J. Uncertain. Quantification, 2022)

Computational electrophysiology of the coronary sinus branches based on electro-anatomical mapping for the prediction of the latest activated region. - Christian Vergara; Simone Stella; Massimiliano Maines; Pasquale Claudio Africa; Domenico Catanzariti; Cristina Demattè; Maurizio Centonze; Fabio Nobile; Alfio Quarteroni; Maurizio Del Greco (Medical Biol. Eng. Comput., 2022)

Fast approximation by periodic kernel-based lattice-point interpolation with application in uncertainty quantification. - Vesa Kaarnioja; Yoshihito Kazashi; Frances Y. Kuo; Fabio Nobile; Ian H. Sloan (Numerische Mathematik, 2022)

A multigrid method for PDE-constrained optimization with uncertain inputs. - Gabriele Ciaramella; Fabio Nobile; Tommaso Vanzan (CoRR, 2023)

Dynamically Orthogonal Approximation for Stochastic Differential Equations. - Yoshihito Kazashi; Fabio Nobile; Fabio Zoccolan (CoRR, 2023)

Probabilistic Load Forecasting of Distribution Power Systems based on Empirical Copulas. - Pål Forr Austnes; Celia García-Pareja; Fabio Nobile; Mario Paolone (CoRR, 2023)

Analysis of a Class of Multilevel Markov Chain Monte Carlo Algorithms Based on Independent Metropolis-Hastings. - Juan P. Madrigal-Cianci; Fabio Nobile; Raúl Tempone (SIAM/ASA J. Uncertain. Quantification, 2023)

Preconditioners for robust optimal control problems under uncertainty. - Fabio Nobile; Tommaso Vanzan (Numer. Linear Algebra Appl., 2023)

Density Estimation in RKHS with Application to Korobov Spaces in High Dimensions. - Yoshihito Kazashi; Fabio Nobile (SIAM J. Numer. Anal., 2023)

Gradient-based optimisation of the conditional-value-at-risk using the multi-level Monte Carlo method. - Sundar Ganesh; Fabio Nobile (J. Comput. Phys., 2023)

Error estimates for SUPG-stabilised Dynamical Low Rank Approximations. - Fabio Nobile; Thomas Trigo Trindade (CoRR, 2024)

Petrov-Galerkin Dynamical Low Rank Approximation:SUPG stabilisation of advection-dominated problems. - Fabio Nobile; Thomas Trigo Trindade (CoRR, 2024)

Multilevel quadrature formulae for the optimal control of random PDEs. - Fabio Nobile; Tommaso Vanzan (CoRR, 2024)

A Combination Technique for Optimal Control Problems Constrained by Random PDEs. - Fabio Nobile; Tommaso Vanzan (SIAM/ASA J. Uncertain. Quantification, 2024)

A Multigrid Solver for PDE-Constrained Optimization with Uncertain Inputs. - Gabriele Ciaramella; Fabio Nobile; Tommaso Vanzan (J. Sci. Comput., 2024)

A function approximation algorithm using multilevel active subspaces. - Fabio Nobile; Matteo Raviola; Raúl Tempone (CoRR, 2025)

Robust high-order low-rank BUG integrators based on explicit Runge-Kutta methods. - Fabio Nobile; Sébastien Riffaud (CoRR, 2025)

Stochastic gradient with least-squares control variates. - Fabio Nobile; Matteo Raviola; Nathan Schaeffer (CoRR, 2025)