Fabio Nobile

Orcid: 0000-0002-8130-0114

According to our database1, Fabio Nobile authored at least 69 papers between 2002 and 2024.

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Bibliography

2024
A Multigrid Solver for PDE-Constrained Optimization with Uncertain Inputs.
J. Sci. Comput., October, 2024

A Combination Technique for Optimal Control Problems Constrained by Random PDEs.
SIAM/ASA J. Uncertain. Quantification, 2024

Multilevel quadrature formulae for the optimal control of random PDEs.
CoRR, 2024

Petrov-Galerkin Dynamical Low Rank Approximation:SUPG stabilisation of advection-dominated problems.
CoRR, 2024

Error estimates for SUPG-stabilised Dynamical Low Rank Approximations.
CoRR, 2024

2023
Gradient-based optimisation of the conditional-value-at-risk using the multi-level Monte Carlo method.
J. Comput. Phys., December, 2023

Density Estimation in RKHS with Application to Korobov Spaces in High Dimensions.
SIAM J. Numer. Anal., April, 2023

Preconditioners for robust optimal control problems under uncertainty.
Numer. Linear Algebra Appl., March, 2023

Analysis of a Class of Multilevel Markov Chain Monte Carlo Algorithms Based on Independent Metropolis-Hastings.
SIAM/ASA J. Uncertain. Quantification, March, 2023

Probabilistic Load Forecasting of Distribution Power Systems based on Empirical Copulas.
CoRR, 2023

Dynamically Orthogonal Approximation for Stochastic Differential Equations.
CoRR, 2023

A multigrid method for PDE-constrained optimization with uncertain inputs.
CoRR, 2023

2022
Fast approximation by periodic kernel-based lattice-point interpolation with application in uncertainty quantification.
Numerische Mathematik, 2022

Computational electrophysiology of the coronary sinus branches based on electro-anatomical mapping for the prediction of the latest activated region.
Medical Biol. Eng. Comput., 2022

Uncertainty Quantification by Multilevel Monte Carlo and Local Time-Stepping for Wave Propagation.
SIAM/ASA J. Uncertain. Quantification, 2022

Stable high-order randomized cubature formulae in arbitrary dimension.
J. Approx. Theory, 2022

Quantifying uncertain system outputs via the multi-level Monte Carlo method - distribution and robustness measures.
CoRR, 2022

2021
Generalized parallel tempering on Bayesian inverse problems.
Stat. Comput., 2021

Stability properties of a projector-splitting scheme for dynamical low rank approximation of random parabolic equations.
Numerische Mathematik, 2021

Multilevel ensemble Kalman filtering for spatio-temporal processes.
Numerische Mathematik, 2021

Function integration, reconstruction and approximation using rank-1 lattices.
Math. Comput., 2021

PDE-Constrained Optimal Control Problems with Uncertain Parameters using SAGA.
SIAM/ASA J. Uncertain. Quantification, 2021

Uncertainty Quantification by MLMC and Local Time-stepping For Wave Propagation.
CoRR, 2021

Analysis of a class of Multi-Level Markov Chain Monte Carlo algorithms based on Independent Metropolis-Hastings.
CoRR, 2021

A hybrid collocation-perturbation approach for PDEs with random domains.
Adv. Comput. Math., 2021

2020
Fast Least-Squares Padé approximation of problems with normal operators and meromorphic structure.
Math. Comput., 2020

Sparse Polynomial Chaos expansions using variational relevance vector machines.
J. Comput. Phys., 2020

Quantifying uncertain system outputs via the multilevel Monte Carlo method - Part I: Central moment estimation.
J. Comput. Phys., 2020

Non-intrusive double-greedy parametric model reduction by interpolation of frequency-domain rational surrogates.
CoRR, 2020

Existence of dynamical low rank approximations for random semi-linear evolutionary equations on the maximal interval.
CoRR, 2020

Regularity and sparse approximation of the recursive first moment equations for the lognormal Darcy problem.
Comput. Math. Appl., 2020

Integration of activation maps of epicardial veins in computational cardiac electrophysiology.
Comput. Biol. Medicine, 2020

Least-Squares Padé approximation of parametric and stochastic Helmholtz maps.
Adv. Comput. Math., 2020

2019
Modeling spatially dependent functional data via regression with differential regularization.
J. Multivar. Anal., 2019

2018
A Posteriori Error Estimation for the Stochastic Collocation Finite Element Method.
SIAM J. Numer. Anal., 2018

Sparse approximation of multilinear problems with applications to kernel-based methods in UQ.
Numerische Mathematik, 2018

A theoretical study of COmpRessed SolvING for advection-diffusion-reaction problems.
Math. Comput., 2018

Multilevel Monte Carlo Approximation of Functions.
SIAM/ASA J. Uncertain. Quantification, 2018

Dual Dynamically Orthogonal approximation of incompressible Navier Stokes equations with random boundary conditions.
J. Comput. Phys., 2018

2016
Convergence of quasi-optimal sparse-grid approximation of Hilbert-space-valued functions: application to random elliptic PDEs.
Numerische Mathematik, 2016

Multi-index Monte Carlo: when sparsity meets sampling.
Numerische Mathematik, 2016

Multi-index Stochastic Collocation Convergence Rates for Random PDEs with Parametric Regularity.
Found. Comput. Math., 2016

Analytic regularity and collocation approximation for elliptic PDEs with random domain deformations.
Comput. Math. Appl., 2016

2015
Error Analysis of the Dynamically Orthogonal Approximation of Time Dependent Random PDEs.
SIAM J. Sci. Comput., 2015

Convergence estimates in probability and in expectation for discrete least squares with noisy evaluations at random points.
J. Multivar. Anal., 2015

Low-Rank Tensor Approximation for High-Order Correlation Functions of Gaussian Random Fields.
SIAM/ASA J. Uncertain. Quantification, 2015

An effective algorithm for the generation of patient-specific Purkinje networks in computational electrocardiology.
J. Comput. Phys., 2015

Analysis of discrete least squares on multivariate polynomial spaces with evaluations at low-discrepancy point sets.
J. Complex., 2015

Analysis and computation of the elastic wave equation with random coefficients.
Comput. Math. Appl., 2015

2014
Patient-specific generation of the Purkinje network driven by clinical measurements of a normal propagation.
Medical Biol. Eng. Comput., 2014

Perturbation Analysis for the Darcy Problem with Log-Normal Permeability.
SIAM/ASA J. Uncertain. Quantification, 2014

Mixed Finite Elements for Spatial Regression with PDE Penalization.
SIAM/ASA J. Uncertain. Quantification, 2014

Inexact accurate partitioned algorithms for fluid-structure interaction problems with finite elasticity in haemodynamics.
J. Comput. Phys., 2014

Analysis of Discrete L<sup>2</sup> Projection on Polynomial Spaces with Random Evaluations.
Found. Comput. Math., 2014

Convergence of quasi-optimal Stochastic Galerkin methods for a class of PDES with random coefficients.
Comput. Math. Appl., 2014

2013
Approximation of Quantities of Interest in Stochastic PDEs by the Random Discrete L<sup>2</sup> Projection on Polynomial Spaces.
SIAM J. Sci. Comput., 2013

A stochastic collocation method for the second order wave equation with a discontinuous random speed.
Numerische Mathematik, 2013

2011
Electromechanical Coupling in Cardiac Dynamics: The Active Strain Approach.
SIAM J. Appl. Math., 2011

2010
Analysis and Optimization of Robin-Robin Partitioned Procedures in Fluid-Structure Interaction Problems.
SIAM J. Numer. Anal., 2010

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

A model-based block-triangular preconditioner for the Bidomain system in electrocardiology.
J. Comput. Phys., 2009

2008
An Effective Fluid-Structure Interaction Formulation for Vascular Dynamics by Generalized Robin Conditions.
SIAM J. Sci. Comput., 2008

An Anisotropic Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data.
SIAM J. Numer. Anal., 2008

A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data.
SIAM J. Numer. Anal., 2008

Fluid-structure partitioned procedures based on Robin transmission conditions.
J. Comput. Phys., 2008

2007
A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data.
SIAM J. Numer. Anal., 2007

2005
Worst case scenario analysis for elliptic problems with uncertainty.
Numerische Mathematik, 2005

2004
A Dynamic Data Driven Computational Infrastructure for Reliable Computer Simulations.
Proceedings of the Computational Science, 2004

2002
Numerical Treatment of Defective Boundary Conditions for the Navier-Stokes Equations.
SIAM J. Numer. Anal., 2002


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