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Fabio Nobile · Study
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Author
Fabio Nobile
33 works
· latest 2020
· 3 institutions
cluster: provisional
ORCID 0000-0002-8130-0114
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33
Citations
4,800
Works here
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Most cited in this library
A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data
2007 · 1,396 citations
A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data
2008 · 942 citations
An Anisotropic Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data
2008 · 494 citations
A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data
2010 · 400 citations
Stochastic Spectral Galerkin and Collocation Methods for PDEs with Random Coefficients: A Numerical Comparison
2010 · 176 citations
Works
33 shown
Sparse Polynomial Chaos expansions using variational relevance vector machines
Journal of Computational Physics
·
2020
·
4 authors
·
Open access
25
citations
Quantifying uncertain system outputs via the multilevel Monte Carlo method — Part I: Central moment estimation
Journal of Computational Physics
·
2020
·
3 authors
·
Open access
38
citations
Continuation Multilevel Monte Carlo Evolutionary Algorithm for Robust Aerodynamic Shape Design
Journal of Aircraft
·
2018
·
3 authors
·
Open access
14
citations
A Posteriori Error Estimation for the Stochastic Collocation Finite Element Method
SIAM Journal on Numerical Analysis
·
2018
·
2 authors
·
Open access
23
citations
Quantifying uncertainties in contact mechanics of rough surfaces using the Multilevel Monte Carlo method
HAL
·
2017
·
3 authors
·
Open access
16
citations
Uncertainty Quantification of geochemical and mechanical compaction in layered sedimentary basins
Computer Methods in Applied Mechanics and Engineering
·
2017
·
5 authors
·
Open access
22
citations
A Continuation Multi Level Monte Carlo (C-MLMC) method for uncertainty quantification in compressible inviscid aerodynamics
Computer Methods in Applied Mechanics and Engineering
·
2017
·
3 authors
·
Open access
51
citations
Multi-index Stochastic Collocation Convergence Rates for Random PDEs with Parametric Regularity
Foundations of Computational Mathematics
·
2016
·
4 authors
·
Open access
23
citations
Multi-Index Stochastic Collocation for random PDEs
Computer Methods in Applied Mechanics and Engineering
·
2016
·
4 authors
·
Open access
59
citations
Analytic regularity and collocation approximation for elliptic PDEs with random domain deformations
Computers & Mathematics with Applications
·
2016
·
3 authors
·
Open access
65
citations
Analysis and computation of the elastic wave equation with random coefficients
Computers & Mathematics with Applications
·
2015
·
3 authors
·
Open access
28
citations
A posteriori error estimation for elliptic partial differential equations with small uncertainties
Numerical Methods for Partial Differential Equations
·
2015
·
3 authors
·
Open access
18
citations
A Multi Level Monte Carlo method with control variate for elliptic PDEs with log-normal coefficients
Stochastic Partial Differential Equations Analysis and Computations
·
2015
·
2 authors
·
Open access
46
citations
Optimization of mesh hierarchies in multilevel Monte Carlo samplers
Stochastic Partial Differential Equations Analysis and Computations
·
2015
·
4 authors
·
Open access
47
citations
Error Analysis of the Dynamically Orthogonal Approximation of Time Dependent Random PDEs
SIAM Journal on Scientific Computing
·
2015
·
2 authors
·
Open access
72
citations
A continuation multilevel Monte Carlo algorithm
BIT Numerical Mathematics
·
2014
·
4 authors
·
Open access
121
citations
Perturbation Analysis for the Darcy Problem with Log-Normal Permeability
SIAM/ASA Journal on Uncertainty Quantification
·
2014
·
2 authors
·
Open access
20
citations
A Quasi-optimal Sparse Grids Procedure for Groundwater Flows
Lecture notes in computational science and engineering
·
2013
·
4 authors
·
chapter
·
Open access
16
citations
Convergence of quasi-optimal Stochastic Galerkin methods for a class of PDES with random coefficients
Computers & Mathematics with Applications
·
2013
·
4 authors
·
Open access
64
citations
Approximation of Quantities of Interest in Stochastic PDEs by the Random Discrete $L^2$ Projection on Polynomial Spaces
SIAM Journal on Scientific Computing
·
2013
·
4 authors
·
Open access
81
citations
A stochastic collocation method for the second order wave equation with a discontinuous random speed
Numerische Mathematik
·
2012
·
3 authors
·
Open access
58
citations
ON THE OPTIMAL POLYNOMIAL APPROXIMATION OF STOCHASTIC PDES BY GALERKIN AND COLLOCATION METHODS
Mathematical Models and Methods in Applied Sciences
·
2012
·
4 authors
·
Open access
136
citations
Implementation of optimal Galerkin and Collocation approximations of PDEs with Random Coefficients
ESAIM Proceedings
·
2011
·
4 authors
·
Open access
16
citations
Stochastic Spectral Galerkin and Collocation Methods for PDEs with Random Coefficients: A Numerical Comparison
Lecture notes in computational science and engineering
·
2010
·
4 authors
·
chapter
·
Open access
176
citations
A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data
SIAM Review
·
2010
·
3 authors
·
Open access
400
citations
Analysis and implementation issues for the numerical approximation of parabolic equations with random coefficients
International Journal for Numerical Methods in Engineering
·
2009
·
2 authors
·
Open access
88
citations
A systematic approach to model validation based on Bayesian updates and prediction related rejection criteria
Computer Methods in Applied Mechanics and Engineering
·
2008
·
3 authors
·
Open access
76
citations
A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data
SIAM Journal on Numerical Analysis
·
2008
·
3 authors
·
Open access
942
citations
An Anisotropic Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data
SIAM Journal on Numerical Analysis
·
2008
·
3 authors
·
Open access
494
citations
Reliability of computational science
Numerical Methods for Partial Differential Equations
·
2007
·
3 authors
·
Open access
55
citations
A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data
SIAM Journal on Numerical Analysis
·
2007
·
3 authors
·
Open access
1,396
citations
Worst case scenario analysis for elliptic problems with uncertainty
Numerische Mathematik
·
2005
·
3 authors
·
Open access
44
citations
Theory and methodology for estimation and control of errors due to modeling, approximation, and uncertainty
Computer Methods in Applied Mechanics and Engineering
·
2004
·
5 authors
·
Open access
70
citations