Fabio Nobile
Publications
Full list
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M. C. Martin / F. Nobile (Dir.) : Stochastic approximation methods for PDE constrained optimal control problems with uncertain parameters. Lausanne, EPFL, 2019. DOI : 10.5075/epfl-thesis-7233.
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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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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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M. Pisaroni; F. Nobile; P. Leyland : Continuation Multilevel Monte Carlo Evolutionary Algorithm for Robust Aerodynamic Shape Design; Journal of Aircraft. 2018. DOI : 10.2514/1.C035054.
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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. 2018. DOI : 10.1016/j.jmva.2018.09.006.
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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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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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M. Pisaroni / P. Leyland; F. Nobile (Dir.) : Multi Level Monte Carlo Methods for Uncertainty Quantification and Robust Design Optimization in Aerodynamics. Lausanne, EPFL, 2017. DOI : 10.5075/epfl-thesis-8082.
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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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E. Musharbash / F. Nobile (Dir.) : Dynamical Low Rank approximation of PDEs with random parameters. Lausanne, EPFL, 2017. DOI : 10.5075/epfl-thesis-7813.
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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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F. Bonizzoni; F. Nobile; I. Perugia; F. Bonizzoni; F. Nobile : Convergence analysis of Padé approximations for Helmholtz frequency response problems; ESAIM: Mathematical Modelling and Numerical Analysis. 2017. DOI : 10.1051/m2an/2017050.
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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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D. S. Guignard / F. Nobile; M. Picasso (Dir.) : A posteriori error estimation for partial differential equations with random input data. Lausanne, EPFL, 2016. DOI : 10.5075/epfl-thesis-7260.
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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. Abdulle; S. Deparis; D. Kressner; F. Nobile; M. Picasso : Numerical Mathematics and Advanced Applications - ENUMATH 2013. 2015.
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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.
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G. Migliorati : Adaptive polynomial approximation by means of random discrete least squares. 2015. ENUMATH 2013, Lausanne, August 26-30, 2013. p. 547-554. DOI : 10.1007/978-3-319-10705-9_54.
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F. Nobile; L. Tamellini; R. Tempone : Comparison of Clenshaw-Curtis and Leja Quasi-Optimal Sparse Grids for the Approximation of Random PDEs. 2015. International Conference on Spectral and High-Order Methods 2014 (ICOSAHOM'14), Salt Lake City, June 23-27, 2014. p. 475-482. DOI : 10.1007/978-3-319-19800-2_44.
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N. Collier; A.-L. Haji-Ali; F. Nobile; E. von Schwerin; R. Tempone : A continuation multilevel Monte Carlo algorithm; BIT Numerical Mathematics. 2015. DOI : 10.1007/s10543-014-0511-3.
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D. Kressner; R. Kumar; F. Nobile; C. Tobler : Low-rank tensor approximation for high-order correlation functions of Gaussian random fields; SIAM/ASA Journal of Uncertainty Quantification. 2015. DOI : 10.1137/140968938.
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L. Azzimonti; L. M. Sangalli; P. Secchi; M. Domanin; F. Nobile : Blood flow velocity field estimation via spatial regression with PDE penalization; Journal of the American Statistical Association. 2015. DOI : 10.1080/01621459.2014.946036.
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A. Chkifa; A. Cohen; G. Migliorati; F. Nobile; R. Tempone : Discrete least squares polynomial approximation with random evaluations − application to parametric and stochastic elliptic PDEs; ESAIM: Mathematical Modelling and Numerical Analysis. 2015. DOI : 10.1051/m2an/2014050.
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M. Motamed; F. Nobile; R. Tempone : Analysis and computation of the elastic wave equation with random coefficients; Computers and Mathematics with Applications. 2015. DOI : 10.1016/j.camwa.2015.09.013.
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F. Nobile; F. Tesei : MATHICSE Technical Report : A multi level Monte Carlo method with control variate for elliptic PDEs with log-normal coefficients. 2014-12-19.
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A. Chkifa; A. Cohen; G. Migliorati; F. Nobile; R. Tempone : MATHICSE Technical Report : Discrete least squares polynomial approximation with random evaluations – application to parametric and stochastic elliptic PDES. 2014-12-16.
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F. Nobile; L. Tamellini; R. Tempone : MATHICSE Technical Report : Comparison of Clenshaw-Curtis and Leja quasi-optimal sparse grids for the approximation of random PDEs. 2014-10-02.
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F. Bonizzoni; F. Nobile; D. Kressner : MATHICSE Technical Report : Tensor train approximation of moment equations for the log-normal Darcy problem. 2014-09-30.
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F. Nobile; L. Tamellini; R. Tempone : MATHICSE Technical Report : Convergence of quasi-optimal sparse grid approximation of Hilbert-valued functions: application to random elliptic PDEs. 2014-09-30.
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D. S. Guignard; F. Nobile; M. Picasso : MATHICSE Technical Report : A posteriori error estimations for elliptic partial differential equations with small uncertainties. 2014-07-21.
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A. L. Haji Ali; F. Nobile; R. Tempone : MATHICSE Technical Report : Multi index Monte Carlo: when sparsity meets sampling. 2014-06-17.
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D. Kressner; R. Kumar; F. Nobile; C. Tobler : MATHICSE Technical Report : Low-rank tensor approximation for high-order correlation functions of Gaussian random fields. 2014-05-12.
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E. Musharbash; F. Nobile; T. Zhou : MATHICSE Technical Report : On the dynamically orthogonal approximation of time dependent random PDEs. 2014-03-18.
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A. L. Haji Ali; F. Nobile; E. G. B. Von Schwerin; R. Tempone : MATHICSE Technical Report : Optimization of mesh hierarchies in multilevel Monte Carlo samplers. 2014-03-12.
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N. Collier; A. L. Haji Ali; F. Nobile; E. G. B. Von Schwerin; R. Tempone : MATHICSE Technical Report : A continuation multilevel Monte Carlo algorithm. 2014-02.
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C. Vergara; S. Palamara; D. Catanzariti; F. Nobile; E. Faggiano et al. : Patient-specific generation of the Purkinje network driven by clinical measurements of a normal propagation; Medical & Biological Engineering & Computing. 2014. DOI : 10.1007/s11517-014-1183-5.
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S. Palamara; C. Vergara; D. Catanzariti; E. Faggiano; C. Pangrazzi et al. : Computational generation of the Purkinje network driven by clinical measurements: The case of pathological propagations; International Journal for Numerical Methods in Biomedical Engineering. 2014. DOI : 10.1002/cnm.2689.
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M. Annunziato; A. Borzì; F. Nobile; R. Tempone : On the Connection between the Hamilton-Jacobi-Bellman and the Fokker-Planck Control Frameworks; Applied Mathematics. 2014. DOI : 10.4236/am.2014.516239.
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S. Rossi / A. Quarteroni; A. Sequeira (Dir.) : Anisotropic Modeling of Cardiac Mechanical Activation. Lausanne, EPFL, 2014. DOI : 10.5075/epfl-thesis-6120.
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L. Azzimonti; F. Nobile; L. M. Sangalli; P. Secchi : Mixed Finite Elements for spatial regression with PDE penalization; SIAM/ASA Journal on Uncertainty Quantification. 2014. DOI : 10.1137/130925426.
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G. Migliorati; F. Nobile; E. von Schwerin; R. Tempone : Analysis of Discrete L2 Projection on Polynomial Spaces with Random Evaluations; Foundations of Computational Mathematics. 2014. DOI : 10.1007/s10208-013-9186-4.
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F. Bonizzoni; F. Nobile : Perturbation analysis for the Darcy problem with log-normal permeability; SIAM/ASA J. Uncertainty Quantification. 2014. DOI : 10.1137/130949415.
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J. Beck; F. Nobile; L. Tamellini; R. Tempone : A quasi-optimal sparse grids procedure for groundwater flows. 2014. International Conference on Spectral and High-Order Methods 2012 (ICOSAHOM'12), Gammarth, Tunisia, June 25-29, 2012. p. 1-16. DOI : 10.1007/978-3-319-01601-6_1.
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F. Nobile; M. Pozzoli; C. Vergara : Inexact accurate partitioned algorithms for fluid-structure interaction problems with finite elasticity in haemodynamics; Journal of Computational Physics. 2014. DOI : 10.1016/j.jcp.2014.05.020.
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F. Bonizzoni; A. Buffa; F. Nobile : Moment equations for the mixed formulation of the Hodge Laplacian with stochastic loading term; IMA Journal of Numerical Analysis. 2014. DOI : 10.1093/imanum/drt041.
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J. Beck; F. Nobile; L. Tamellini; R. Tempone : Convergence of quasi-optimal Stochastic Galerkin methods for a class of PDES with random coefficients; Computers and Mathematics with Applications. 2014. DOI : 10.1016/j.camwa.2013.03.004.
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J. E. Castrillon-Candas; F. Nobile; R. F. Tempone : MATHICSE Technical Report : Analytic regularity and collocation approximation for PDEs with random domain deformations. 2013-12.
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F. Bonizzoni; F. Nobile : MATHICSE Technical Report : Perturbation analysis for the Darcy problem with log-normal permeability. 2013-09-17.
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F. Nobile; M. Pozzoli; C. Vergara : Time accurate partitioned algorithms for the solution of fluid-structure interaction problems in haemodynamics; Computers & Fluids. 2013. DOI : 10.1016/j.compfluid.2013.07.031.
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M. Motamed; F. Nobile; R. Tempone : A stochastic collocation method for the second order wave equation with a discontinuous random speed; Numerische Mathematik. 2013. DOI : 10.1007/s00211-012-0493-5.
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G. Migliorati; F. Nobile; E. Von Schwerin; R. Tempone : Approximation of Quantities of Interest in Stochastic PDEs by the Random Discrete $L^2$ Projection on Polynomial Spaces; SIAM Journal on Scientific Computing. 2013. DOI : 10.1137/120897109.
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J. Beck; F. Nobile; L. Tamellini; R. Tempone : MATHICSE Technical Report : A quasi-optimal sparse grids procedure for groundwater flows. 2012-11.
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M. Motamed; F. Nobile; R. Tempone : MATHICSE Technical Report : Analysis and computation of the elastic wave equation with random coefficients. 2012-08-23.
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F. Bonizzoni; A. Buffa; F. Nobile : MATHICSE Technical Report : Moment equations for the mixed formulation of the Hodge Laplacian with stochastic data. 2012-08-21.
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J. Beck; F. Nobile; L. Tamellini; R. Tempone : MATHICSE Technical Report : Convergence of quasi-optimal stochastic Galerkin methods for a class of PDES with random coefficients. 2012-07-13.
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E. Faou; F. Nobile; C. Vuillot : MATHICSE Technical Report : Sparse spectral approximations for computing polynomial functionals. 2012-07-12.
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F. Nobile; M. Pozzoli; C. Vergara : MATHICSE Technical Report : Time accurate partitioned\ algorithms for the solution of fluid-structure\ interaction problems in haemodynamics. 2012-01-25.
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F. Nobile; C. Vergara : Partitioned Algorithms for Fluid-Structure Interaction Problems in Haemodynamics; Milan Journal Of Mathematics. 2012. DOI : 10.1007/s00032-012-0194-7.
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L. Iapichino / A. Quarteroni; G. Rozza (Dir.) : Reduced Basis Methods for the Solution of Parametrized PDEs in Repetitive and Complex Networks with Application to CFD. Lausanne, EPFL, 2012. DOI : 10.5075/epfl-thesis-5529.
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E. Faou; F. Nobile; C. Vuillot : Sparse spectral approximations for computing polynomial functionals; ...... 2012.
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J. Beck; F. Nobile; L. Tamellini; R. Tempone : On the optimal polynomial approximation of stochastic PDEs by Galerkin and Collocation methods; Mathematical Models and Methods in Applied Sciences (M3AS). 2012. DOI : 10.1142/S0218202512500236.
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F. Nobile; A. Quarteroni; R. Ruiz-Baier : An active strain electromechanical model for cardiac tissue; International Journal for Numerical Methods in Biomedical Engineering. 2012. DOI : 10.1002/cnm.1468.
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G. Migliorati; F. Nobile; E. G. B. Von Schwerin; R. Tempone : MATHICSE Technical Report : Analysis of the discrete $L^2$ projection on polynomial spaces with random evaluations. 2011-12-06.
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M. Motamed; F. Nobile; R. Tempone : MATHICSE Technical Report : A stochastic collocation method for the second order wave equation with a discontiuous random speed. 2011-11-07.
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M. Pischiutta; L. Formaggia; F. Nobile : Mathematical modelling for the evolution of aeolian dunes formed by a mixture of sands: entrainment-deposition formulation; Communications in Applied and Industrial Mathematics. 2011. DOI : 10.1685/journal.caim.377.
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J. Back; F. Nobile; L. Tamellini; R. Tempone : Implementation of optimal Galerkin and Collocation approximations of PDEs with Random Coefficients; ESAIM Proceedings. 2011. DOI : 10.1051/proc/201133002.
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L. Mirabella; F. Nobile; A. Veneziani : A posteriori error estimator for model adaptivity in electrocardiology; Computer Methods In Applied Mechanics And Engineering. 2011. DOI : 10.1016/j.cma.2010.03.009.
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F. Nobile; J. Back; L. Tamellini; R. Tempone : Stochastic spectral Galerkin and collocation methods for PDEs with random coefficients: a numerical comparison; Spectral and high order methods for partial differential equations : selected papers from the ICOSAHOM ’09 Conference, June 22-26, Trondheim, Norway; Berlin: Springer, 2011. p. 43-62.
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D. Ambrosi; G. Arioli; F. Nobile; A. Quarteroni : Electromechanical Coupling In Cardiac Dynamics: The Active Strain Approach; Siam Journal On Applied Mathematics. 2011. DOI : 10.1137/100788379.
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G. Dubini; D. Ambrosi; P. Bagnoli; F. Boschetti; E. G. Caiani et al. : Trends in biomedical engineering: focus on Patient Specific Modeling and Life Support Systems; Journal Of Applied Biomaterials & Biomechanics. 2011. DOI : 10.5301/JABB.2011.8585.
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F. Nobile; I. Babuska; R. Tempone : A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data; Siam Review. 2010. DOI : 10.1137/100786356.
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L. Gerardo-Giorda; F. Nobile; C. Vergara : Analysis And Optimization Of Robin-Robin Partitioned Procedures In Fluid-Structure Interaction Problems; Siam Journal On Numerical Analysis. 2010. DOI : 10.1137/09076605X.
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F. Nobile : Coupling strategies for the numerical simulation of blood flow in deformable arteries by 3D and 1D models; Mathematical and Computer Modelling. 2009. DOI : 10.1016/j.mcm.2008.07.019.
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F. Nobile; R. Tempone : Analysis and implementation issues for the numerical approximation of parabolic equations with random coefficients; INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING. 2009. DOI : 10.1002/nme.2656.
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S. Badia; F. Nobile; C. Vergara : Robin-Robin preconditioned Krylov methods for fluid-structure interaction problems; Computer Methods In Applied Mechanics And Engineering. 2009. DOI : 10.1016/j.cma.2009.04.004.
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L. Gerardo-Giorda; L. Mirabella; F. Nobile; M. Perego; A. Veneziani : A model-based block-triangular preconditioner for the Bidomain system in electrocardiology; Journal Of Computational Physics. 2009. DOI : 10.1016/j.jcp.2009.01.034.
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S. Badia; F. Nobile; C. Vergara : Fluid-structure partitioned procedures based on Robin transmission conditions; Journal Of Computational Physics. 2008. DOI : 10.1016/j.jcp.2008.04.006.
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I. Babuska; F. Nobile; R. Tempone : Formulation of the static frame problem; Computer Methods In Applied Mechanics And Engineering. 2008. DOI : 10.1016/j.cma.2007.12.010.
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I. Babuška; F. Nobile; R. Tempone : A systematic approach to model validation based on Bayesian updates and prediction related rejection criteria; Computer Methods in Applied Mechanics and Engineering. 2008. DOI : 10.1016/j.cma.2007.08.031.
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F. Nobile; R. Tempone; C. G. Webster : An anisotropic sparse grid stochastic collocation method for partial differential equations with random input data; Siam Journal On Numerical Analysis. 2008. DOI : 10.1137/070680540.
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F. Nobile; R. Tempone; C. G. Webster : A sparse grid stochastic collocation method for partial differential equations with random input data; Siam Journal On Numerical Analysis. 2008. DOI : 10.1137/060663660.
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F. Nobile; C. Vergara : An effective fluid-structure interaction formulation for vascular dynamics by generalized Robin conditions; Siam Journal On Scientific Computing. 2008. DOI : 10.1137/060678439.
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I. Babuska; F. Nobile; R. Tempone : Reliability of computational science; Numerical Methods For Partial Differential Equations. 2007. DOI : 10.1002/num.20263.
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L. Formaggia; A. Moura; F. Nobile : On the stability of the coupling of 3d and 1d fluid-structure interaction models for blood flow simulations; Esaim-Mathematical Modelling And Numerical Analysis-Modelisation Mathematique Et Analyse Numerique. 2007. DOI : 10.1051/m2an:2007039.
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I. Babuska; F. Nobile; R. Tempone : A stochastic collocation method for elliptic partial differential equations with random input data; Siam Journal On Numerical Analysis. 2007. DOI : 10.1137/050645142.
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B. Noris; M. Nobile; L. Piccini; M. Molteni; F. Keller et al. : Gait Analysis of Autistic Children with Echo State Networks ; NIPS'06, Vancouver, B.C., Canada, December 4, 2006.
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I. Babuska; F. Nobile; R. Tempone : Worst-case scenario analysis for elliptic PDEs with uncertainty. 2005. EURODYN, Paris, September 4-7, 2005. p. 889-894. DOI : 10.1007/s00211-005-0601-x.
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F. Nobile; R. Tempone; I. Babuska : Worst case scenario analysis for elliptic problems with uncertainty; Numerische Mathematik. 2005. DOI : 10.1007/s00211-005-0601-x.
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J. F. Gerbeau; F. Nobile; P. Causin : Added-mass effect in the design of partitioned algorithms for fluid-structure problems; Computer Methods In Applied Mechanics And Engineering. 2005. DOI : 10.1016/j.cma.2004.12.005.
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I. Babuska; F. Nobile; Y. S. Feng; R. Tempone; J. T. Oden : Theory and methodology for estimation and control of errors due to modeling, approximation, and uncertainty; Computer Methods In Applied Mechanics And Engineering. 2005. DOI : 10.1016/j.cma.2003.06.003.
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S. Prudhomme; F. Nobile; L. Chamoin; J. T. Oden : Analysis of a subdomain-based error estimator for finite element approximations of elliptic problems; Numerical Methods for Partial Differential Equations. 2004. DOI : 10.1002/num.10082.
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F. Nobile; L. Formaggia : Stability analysis of second-order time accurate schemes for ALE-FEM; Computer Methods In Applied Mechanics And Engineering. 2004. DOI : 10.1016/j.cma.2003.09.028.
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F. Nobile : A posteriori error estimates for the finite element approximation of the Stokes problem; TICAM Report 03-13. 2003.
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S. Deparis; M. A. Fernández; L. Formaggia; F. Nobile : Acceleration of a fixed point algorithm for fluid-structure interaction using transpiration conditions. 2003. Second MIT conference on Computational Fluid and Solid Mechanics, MIT, Cambridge MA, USA.
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S. Deparis; M. A. Fernández; L. Formaggia; F. Nobile : Modified fixed point algorithm in fluid–structure interaction; Comptes rendus Mecanique. 2003. DOI : 10.1016/S1631-0721(03)00119-0.
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L. Formaggia; F. Nobile; A. Quarteroni : A one-dimensional model for blood flow: Application to vascular prosthesis. 2002. p. 137-153. DOI : 10.1007/978-3-642-56288-4_10.
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L. Formaggia; J. F. Gerbeau; F. Nobile; A. Quarteroni : Numerical treatment of defective boundary conditions for the Navier-Stokes equations; SIAM Journal on Numerical Analysis. 2002. DOI : 10.1137/S003614290038296X.
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L. Formaggia; F. Nobile : Advances on numerical modelling of blood flow problems. 2001. ECCOMAS 2000.
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L. Formaggia; J. F. Gerbeau; F. Nobile; A. Quarteroni : On the coupling of 3D and 1D Navier-Stokes equations for flow problems in compliant vessels; Computer Methods in Applied Mechanics and Engineering. 2001. DOI : 10.1016/S0045-7825(01)00302-4.
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F. Nobile / A. Quarteroni (Dir.) : Numerical approximation of fluid-structure interaction problems with application to haemodynamics. Lausanne, EPFL, 2001. DOI : 10.5075/epfl-thesis-2458.
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F. Nobile; L. Formaggia : A Stability Analysis for the Arbitrary Lagrangian Eulerian Formulation with Finite Elements; East-West Journal of Numerical Mathematics. 1999.
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A. Veneziani; F. Nobile : Fluid structure interaction in blood flow problems. 1999. GAMM meeting, Bremen, 1998. p. S255-S258.
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L. Formaggia; F. Nobile; A. Quarteroni; A. Veneziani : Multiscale modelling of the circulatory system: a preliminary analysis. 1999. p. 75-83. DOI : 10.1007/s007910050030.
Teaching & PhD
Teaching
- Mathematics,
PhD Programs
- Doctoral Program in Mathematics
PhD Students
Ganesh Sundar Subramaniam
Madrigal Cianci Juan Pablo
Martin Matthieu Claude
Pradovera Davide
Vidlicková Eva
Musharbash Eleonora ...
Pisaroni Michele ...
Tesei Francesco ...
Madrigal Cianci Juan Pablo
Martin Matthieu Claude
Pradovera Davide
Vidlicková Eva
Past PhD Students
Guignard Diane Sylvie ...Musharbash Eleonora ...
Pisaroni Michele ...
Tesei Francesco ...
Courses
Advanced analysis II
The course studies fundamental concepts of analysis and the calculus of functions of several variables. 
Stochastic simulations
The student who follows this course will get acquainted with computational tools used to analyze systems with uncertainty arising in engineering, physics, chemistry, and economics. Focus will be on sampling methods as Monte Carlo, quasi Monte Carlo, Mar...
Numerical approximation of PDE's I
The aim of the course is to give a theoretical and practical knowledge of finite difference and finite element methods for the numerical approximation of partial differential equations in one or more dimensions.