Fabio Nobile
EPFL SB MATH CSQI
MA B2 444 (Bâtiment MA)
Station 8
CH-1015 Lausanne
Unité: SMA-ENS
EPFL E EDMA-GE
MA B2 424 (Bâtiment MA)
Station 8
CH-1015 Lausanne
+41 21 693 54 11
+41 21 693 79 22
Site web: https://phd.epfl.ch/edma/
Unité: EDMA-GE
Local: MA B2 444
+41 21 693 79 22
Site web: https://phd.epfl.ch/edma/
Unité: EDMA-GE
Local: MA B2 444
Unité: CDOCT
Publications
Infoscience
Full list
Les données en-ligne ne sont pas accessibles*
F. Nobile; E. Vidlicková : MATHICSE Technical Report : A posteriori error estimation for the stochastic collocation finite element approximation of the heat equation with random coefficients. 2019-04-30.
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M. Pisaroni; F. Nobile; P. Leyland : Continuation Multilevel Monte Carlo Evolutionary Algorithm for Robust Aerodynamic Shape Design; Journal of Aircraft. 2019. DOI : 10.2514/1.C035054.
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V. Rey; S. Krumscheid; F. Nobile : Quantifying uncertainties in contact mechanics of rough surfaces using the multilevel Monte Carlo method; International Journal of Engineering Science. 2019. DOI : 10.1016/j.ijengsci.2019.02.003.
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E. Arnone; L. Azzimonti; F. Nobile; L. M. Sangalli : Modeling spatially dependent functional data via regression with differential regularization; Journal of Multivariate Analysis. 2019. DOI : 10.1016/j.jmva.2018.09.006.
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M. Pisaroni; F. Nobile; P. Leyland : MATHICSE Technical Report : A continuation-multilevel Monte Carlo evolutionary algorithm for robust aerodynamic shape design. 2018-04-10.
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V. Rey; S. Krumscheid; F. Nobile : MATHICSE Technical Report : Quantifying uncertainties in contact mechanics of rough surfaces using the Multilevel Monte Carlo method. 2018-04-10.
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M. Martin; S. Krumscheid; F. Nobile : MATHICSE Technical Report : Analysis of stochastic gradient methods for PDE-constrained optimal control problems with uncertain parameters. 2018-03-09.
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E. Arnone; L. Azzimonti; F. Nobile; L. M. Sangalli : MATHICSE Technical Report : Modelling spatially dependent functional data via regression with differential regularization. 2018-01-17.
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S. Brugiapaglia; S. Micheletti; F. Nobile; S. Perotto : Wavelet-Fourier CORSING techniques for multi-dimensional advection-diffusion-reaction equations. 2018.
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G. Migliorati; F. Nobile : Stable high-order randomized cubature formulae in arbitrary dimension; .... 2018.
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M. C. Martin; F. Nobile : PDE-constrained optimal control problems with uncertain parameters using SAGA; .... 2018.
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F. Bonizzoni; F. Nobile; I. Perugia; D. Pradovera : Fast Least-Squares Padé approximation of problems with normal operators and meromorphic structure; .... 2018.
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F. Bonizzoni; F. Nobile; I. Perugia; D. Pradovera : Least-Squares Padé approximation of parametric and stochastic Helmholtz maps. 2018.
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F. Nobile; R. Tempone; S. Wolfers : Sparse approximation of multilinear problems with applications to kernel-based methods in UQ; Numerische Mathematik. 2018. DOI : 10.1007/s00211-017-0932-4.
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D. S. Guignard; F. Nobile : A Posteriori Error Estimation for the Stochastic Collocation Finite Element Method; SIAM Journal on Numerical Analysis. 2018. DOI : 10.1137/17M1155454.
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I. Colombo; F. Nobile; G. Porta; A. Scotti; L. Tamellini : Uncertainty Quantification of geochemical and mechanical compaction in layered sedimentary basins; Computer Methods in Applied Mechanics and Engineering. 2018. DOI : 10.1016/j.cma.2017.08.049.
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S. Krumscheid; F. Nobile : Multilevel Monte Carlo Approximation of Functions; SIAM/ASA Journal on Uncertainty Quantification. 2018. DOI : 10.1137/17M1135566.
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E. Musharbash; F. Nobile : Dual Dynamically Orthogonal approximation of incompressible Navier Stokes equations with random boundary conditions; Journal of Computational Physics. 2018. DOI : 10.1016/j.jcp.2017.09.061.
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F. Bonizzoni; F. Nobile; I. Perugia : Convergence analysis of Padé approximations for Helmholtz frequency response problems; ESAIM: Mathematical Modelling and Numerical Analysis. 2018. DOI : 10.1051/m2an/2017050.
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S. Brugiapaglia; F. Nobile; S. Micheletti; S. Perotto : A theoretical study of COmpRessed SolvING for advection-diffusion-reaction problems; Mathematics of Computation. 2018. DOI : 10.1090/mcom/3209.
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D. S. Guignard; F. Nobile : MATHICSE Technical Report : A posteriori error estimation for the stochastic collocation finite element method. 2017-11-03.
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A. Chernov; H. A. Hoel; K. J. Law; F. Nobile; R. Tempone : MATHICSE Technical Report : Multilevel ensemble Kalman filtering for spatio-temporal processes. 2017-10-20.
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A. L. Haji Ali; F. Nobile; R. Tempone; S. Wolfers : MATHICSE Technical Report : Multilevel weighted least squares polynomial approximation. 2017-09-11.
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E. Musharbash; F. Nobile : MATHICSE Technical Report : Symplectic dynamical low rank approximation of wave equations with random parameters. 2017-08-29.
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M. Pisaroni; S. Krumscheid; F. Nobile : MATHICSE Technical Report : Quantifying uncertain system outputs via the multilevel Monte Carlo method – Part I: Central moment estimation. 2017-06-11.
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M. Pisaroni; F. Nobile; P. Leyland : MATHICSE Technical Report : Continuation Multi-Level Monte-Carlo method for Uncertainty Quantification in Turbulent Compressible Aerodynamics Problems modeled by RANS. 2017-05-11.
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S. Krumscheid; F. Nobile : MATHICSE Technical Report : Multilevel Monte Carlo approximation of functions. 2017-04-10.
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E. Musharbash; F. Nobile : MATHICSE Technical Report : Dual dynamically orthogonal approximation of incompressible Navier Stokes equations with random boundary conditions. 2017.
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N. Linde; D. Ginsbourger; J. Irving; F. Nobile; A. Doucet : On uncertainty quantification in hydrogeology and hydrogeophysics; Advances in Water Resources. 2017. DOI : 10.1016/j.advwatres.2017.10.014.
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M. Pisaroni; F. Nobile; P. Leyland : A Multilevel Monte Carlo Evolutionary Algorithm for Robust Aerodynamic Shape Design. 2017. 18th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, Denver, Colorado, USA, 5-9 June 2017. DOI : 10.2514/6.2017-3329.
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M. Pisaroni; F. Nobile; P. Leyland : A Continuation Multi Level Monte Carlo (C-MLMC) method for uncertainty quantification in compressible inviscid aerodynamics; Computer Methods in Applied Mechanics and Engineering. 2017. DOI : 10.1016/j.cma.2017.07.030.
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D. S. Guignard; F. Nobile; M. Picasso : A posteriori error estimation for the steady Navier-Stokes equations in random domains; Computer Methods in Applied Mechanics and Engineering. 2017. DOI : 10.1016/j.cma.2016.10.008.
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A. Cohen; G. Migliorati; F. Nobile : Discrete least-squares approximations over optimized downward closed polynomial spaces in arbitrary dimension; Constructive Approximation. 2017. DOI : 10.1007/s00365-017-9364-8.
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M. Pisaroni; F. Nobile; P. Leyland : MATHICSE Technical Report : A continuation multi level Monte Carlo (C-MLMC) method for uncertainty quantification in compressible aerodynamics. 2016-07-27.
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F. Bonizzoni; F. Nobile; I. Perugia : MATHICSE Technical Report :Convergence analysis of Padé approximations for Helmholtz frequency response problems. 2016-07-19.
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D. S. Guignard; F. Nobile; M. Picasso : MATHICSE Technical Report : A posteriori error estimation for the steady Navier-Stokes equations in random domains. 2016-04-18.
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V. Rey; J.-F. Molinari; G. Anciaux; F. Nobile; S. Krumscheid : Efficient approximation of the contact area between rough surfaces ; Engineering Mechanics Institute International Conference, Metz, France, October 25-27, 2016.
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M. Pisaroni; P. Leyland; F. Nobile : A Multi Level Monte Carlo Algorithm for the Treatment of Geometrical and Operational Uncertainties in Internal and External Aerodynamics. 2016. AIAA Aviation - 46th AIAA Fluid Dynamics Conference, Washington, D.C, 13-17 June 2016. p. 4398. DOI : 10.2514/6.2016-4398.
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A. Chernov; A. Debussche; F. Nobile : Numerical methods for random and stochastic partial differential equations; Stochastics and Partial Differential Equations Analysis and Computations. 2016. DOI : 10.1007/s40072-016-0073-2.
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F. Nobile; L. Tamellini; F. Tesei; R. Tempone : An Adaptive Sparse Grid Algorithm for Elliptic PDEs with Lognormal Diffusion Coefficient; Sparse Grids and Applications - Stuttgart 2014; Berlin: Springer, 2016. p. 191-220.
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F. Tesei / F. Nobile (Dir.) : Numerical Approximation of Flows in Random Porous Media. Lausanne, EPFL, 2016. DOI : 10.5075/epfl-thesis-6860.
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A.-L. Haji-Ali; F. Nobile; L. Tamellini; R. Tempone : Multi-index stochastic collocation convergence rates for random PDEs with parametric regularity; Foundations of Computational Mathematics. 2016. DOI : 10.1007/s10208-016-9327-7.
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A.-L. Haji-Ali; F. Nobile; L. Tamellini; R. Tempone : Multi-index Stochastic Collocation for random PDEs; Computer Methods in Applied Mechanics and Engineering. 2016. DOI : 10.1016/j.cma.2016.03.029.
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D. S. Guignard; F. Nobile; M. Picasso : A posteriori error estimations for elliptic partial differential equations with small uncertainties; Numerical Methods for Partial Differential Equations. 2016. DOI : 10.1002/num.21991.
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F. Bonizzoni; F. Nobile; D. Kressner : Tensor train approximation of moment equations for elliptic equations with lognormal coefficient; Computer Methods in Applied Mechanics and Engineering. 2016. DOI : 10.1016/j.cma.2016.05.026.
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J. E. Castrillón-Candás; F. Nobile; R. Tempone : Analytic regularity and collocation approximation for elliptic PDEs with Random domain deformations; Computers and Mathematics with Applications. 2016. DOI : 10.1016/j.camwa.2016.01.005.
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A.-L. Haji-Ali; F. Nobile; R. Tempone : Multi-index Monte Carlo: when sparsity meets sampling; Numerische Mathematik. 2016. DOI : 10.1007/s00211-015-0734-5.
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A.-L. Haji-Ali; F. Nobile; E. von Schwerin; R. Tempone : Optimization of mesh hierarchies in multilevel Monte Carlo samplers; Stochastic Partial Differential Equations: Analysis and Computations. 2016. DOI : 10.1007/s40072-015-0049-7.
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F. Nobile; L. Tamellini; R. Tempone : Convergence of quasi-optimal sparse-grid approximation of Hilbert-space-valued functions: application to random elliptic PDEs; Numerische Mathematik. 2016. DOI : 10.1007/s00211-015-0773-y.
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A. L. Haji Ali; F. Nobile; L. Tamellini; R. Tempone : MATHICSE Technical Report : Multi-index stochastic collocation convergence rates for random PDEs with parametric regularity. 2015-11-04.
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A. Cohen; G. Migliorati; F. Nobile : MATHICSE Technical Report : Discrete least-squares approximations over optimized downward closed polynomial spaces in arbitrary dimension. 2015-11-03.
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S. Brugiapaglia; F. Nobile; S. Micheletti; S. Perotto : MATHICSE Technical Report : A theoretical study of COmpRessed SolvING for advection-diffusion-reaction problems. 2015-09-10.
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A. L. Haji Ali; F. Nobile; L. Tamellini; R. Tempone : MATHICSE Technical Report : Multi-index stochastic collocation for random PDEs. 2015-09-10.
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G. Migliorati; F. Nobile; R. Tempone : MATHICSE Technical Report : Convergence estimates in probability and in expectation for discrete least squares with noisy evaluations at random points. 2015-03-31.
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F. Nobile; L. Tamellini; F. Tesei; R. Tempone : MATHICSE Technical Report : An adaptive sparse grid algorithm for elliptic PDEs with lognormal diffusion coefficient. 2015-03-11.
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G. Migliorati; F. Nobile : MATHICSE Technical Report : Analysis of discrete least squares on multivariate polynomial spaces with evaluations at low-discrepancy point sets. 2015-01-29.
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M. Motamed; F. Nobile; R. Tempone : Analysis and Computation of Hyperbolic PDEs with Random Data; Encyclopedia of Applied and Computational Mathematics. 2015. DOI : 10.1007/978-3-540-70529-1_527.
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F. Negri / A. Quarteroni; G. Rozza (Dir.) : Efficient Reduction Techniques for the Simulation and Optimization of Parametrized Systems. Lausanne, EPFL, 2015. DOI : 10.5075/epfl-thesis-6810.
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A. Chernov; F. Nobile : Numerical Methods For Uncertainty Quantification; International Journal For Uncertainty Quantification. 2015. DOI : 10.1615/Int.J.UncertaintyQuantification.2015014190.
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E. Musharbash; F. Nobile; T. Zhou : Error Analysis of the Dynamically Orthogonal Approximation of Time Dependent Random PDEs; Siam Journal on Scientific Computing. 2015. DOI : 10.1137/140967787.
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G. Migliorati; F. Nobile; R. Tempone : Convergence estimates in probability and in expectation for discrete least squares with noisy evaluations at random points; Journal of Multivariate Analysis. 2015. DOI : 10.1016/j.jmva.2015.08.009.
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G. Migliorati; F. Nobile : Analysis of discrete least squares on multivariate polynomial spaces with evaluations at low-discrepancy point sets; Journal of Complexity. 2015. DOI : 10.1016/j.jco.2015.02.001.
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S. Palamara; C. Vergara; E. Faggiano; F. Nobile : An effective algorithm for the generation of patient-specific Purkinje networks in computational electrocardiology; Journal Of Computational Physics. 2015. DOI : 10.1016/j.jcp.2014.11.043.
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F. Tesei; F. Nobile : A Multi Level Monte Carlo Method with Control Variate for elliptic PDEs with log-normal coefficients; Stochastic Partial Differential Equations: Analysis and Computations. 2015. DOI : 10.1007/s40072-015-0055-9.
Enseignement & Phd
Enseignement
- Mathematics,
Programmes doctoraux
- Doctoral Program in Mathematics
Doctorants
Ganesh Sundar SubramaniamMadrigal Cianci Juan Pablo
Pradovera Davide
Vidlicková Eva
A dirigé les thèses de
Guignard Diane Sylvie ...Martin Matthieu Claude ...
Musharbash Eleonora ...
Pisaroni Michele ...
Tesei Francesco ...
Cours
Introduction to partial differential equations
Ce cours donne une introduction à la théorie des Equations aux Dérivées Partielles (EDP) elliptiques, y compris l'étude de solutions classiques et des solutions généralisées (ou faibles). 
Stochastic simulations
Ce cours présente des méthodes computationnelles pour l'analyse de systèmes affectés pas des incertitudes. Le cours se focalise en particulier sur les méthodes échantillonnage à la Monte Carlo, Quasi-Monte Carlo ou Markov Chain Monte Carlo.