Publications de Fabio Nobile

[138]
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.
[137]
M. C. Martin : Stochastic approximation methods for PDE constrained optimal control problems with uncertain parameters. Lausanne, EPFL, 2019. DOI : 10.5075/epfl-thesis-7233.
[136]
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.
[135]
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.
[134]
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.
[133]
M. Pisaroni; F. Nobile; P. Leyland : MATHICSE Technical Report : A continuation-multilevel Monte Carlo evolutionary algorithm for robust aerodynamic shape design. 2018-04-10.
[132]
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.
[131]
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.
[130]
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.
[129]
S. Brugiapaglia; S. Micheletti; F. Nobile; S. Perotto : Wavelet-Fourier CORSING techniques for multi-dimensional advection-diffusion-reaction equations. 2018.
[128]
G. Migliorati; F. Nobile : Stable high-order randomized cubature formulae in arbitrary dimension; .... 2018.
[127]
M. C. Martin; F. Nobile : PDE-constrained optimal control problems with uncertain parameters using SAGA; .... 2018.
[126]
F. Bonizzoni; F. Nobile; I. Perugia; D. Pradovera : Fast Least-Squares Padé approximation of problems with normal operators and meromorphic structure; .... 2018.
[125]
F. Bonizzoni; F. Nobile; I. Perugia; D. Pradovera : Least-Squares Padé approximation of parametric and stochastic Helmholtz maps. 2018.
[124]
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.
[123]
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.
[122]
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.
[121]
S. Krumscheid; F. Nobile : Multilevel Monte Carlo Approximation of Functions; SIAM/ASA Journal on Uncertainty Quantification. 2018. DOI : 10.1137/17M1135566.
[120]
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.
[119]
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.
[118]
D. S. Guignard; F. Nobile : MATHICSE Technical Report : A posteriori error estimation for the stochastic collocation finite element method. 2017-11-03.
[117]
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.
[116]
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.
[115]
A. L. Haji Ali; F. Nobile; R. Tempone; S. Wolfers : MATHICSE Technical Report : Multilevel weighted least squares polynomial approximation. 2017-09-11.
[114]
E. Musharbash; F. Nobile : MATHICSE Technical Report : Symplectic dynamical low rank approximation of wave equations with random parameters. 2017-08-29.
[113]
S. Krumscheid; F. Nobile : MATHICSE Technical Report : Multilevel Monte Carlo approximation of functions. 2017-04-10.
[112]
E. Musharbash; F. Nobile : MATHICSE Technical Report : Dual dynamically orthogonal approximation of incompressible Navier Stokes equations with random boundary conditions. 2017.
[111]
M. Pisaroni : Multi Level Monte Carlo Methods for Uncertainty Quantification and Robust Design Optimization in Aerodynamics. Lausanne, EPFL, 2017. DOI : 10.5075/epfl-thesis-8082.
[110]
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.
[109]
E. Musharbash : Dynamical Low Rank approximation of PDEs with random parameters. Lausanne, EPFL, 2017. DOI : 10.5075/epfl-thesis-7813.
[108]
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.
[107]
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.
[106]
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.
[105]
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.
[104]
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.
[103]
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.
[102]
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.
[101]
F. Bonizzoni; F. Nobile; I. Perugia : MATHICSE Technical Report :Convergence analysis of Padé approximations for Helmholtz frequency response problems. 2016-07-19.
[100]
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.
[99]
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.
[98]
D. S. Guignard : A posteriori error estimation for partial differential equations with random input data. Lausanne, EPFL, 2016. DOI : 10.5075/epfl-thesis-7260.
[97]
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.
[96]
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.
[95]
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.
[94]
F. Tesei : Numerical Approximation of Flows in Random Porous Media. Lausanne, EPFL, 2016. DOI : 10.5075/epfl-thesis-6860.
[93]
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.
[92]
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.
[91]
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.
[90]
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.
[89]
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.
[88]
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.
[87]
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.
[86]
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.
[85]
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.
[84]
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.
[83]
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.
[82]
A. L. Haji Ali; F. Nobile; L. Tamellini; R. Tempone : MATHICSE Technical Report : Multi-index stochastic collocation for random PDEs. 2015-09-10.
[81]
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.
[80]
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.
[79]
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.
[78]
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.
[77]
A. Abdulle; S. Deparis; D. Kressner; F. Nobile; M. Picasso : Numerical Mathematics and Advanced Applications - ENUMATH 2013. 2015.
[76]
A. Chernov; F. Nobile : Numerical Methods For Uncertainty Quantification; International Journal For Uncertainty Quantification. 2015. DOI : 10.1615/Int.J.UncertaintyQuantification.2015014190.
[75]
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.
[74]
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.
[73]
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.
[72]
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.
[71]
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.
[70]
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.
[69]
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.
[68]
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.
[67]
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.
[66]
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.
[65]
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.
[64]
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.
[63]
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.
[62]
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.
[61]
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.
[60]
F. Bonizzoni; F. Nobile; D. Kressner : MATHICSE Technical Report : Tensor train approximation of moment equations for the log-normal Darcy problem. 2014-09-30.
[59]
A. L. Haji Ali; F. Nobile; R. Tempone : MATHICSE Technical Report : Multi index Monte Carlo: when sparsity meets sampling. 2014-06-17.
[58]
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.
[57]
E. Musharbash; F. Nobile; T. Zhou : MATHICSE Technical Report : On the dynamically orthogonal approximation of time dependent random PDEs. 2014-03-18.
[56]
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.
[55]
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.
[54]
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.
[53]
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.
[52]
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.
[51]
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.
[50]
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.
[49]
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.
[48]
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.
[47]
F. Bonizzoni; F. Nobile : Perturbation analysis for the Darcy problem with log-normal permeability; SIAM/ASA Journal on Uncertainty Quantification. 2014. DOI : 10.1137/130949415.
[46]
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.
[45]
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.
[44]
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.
[43]
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.
[42]
F. Bonizzoni; F. Nobile : MATHICSE Technical Report : Perturbation analysis for the Darcy problem with log-normal permeability. 2013-09-17.
[41]
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.
[40]
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.
[39]
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.
[38]
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.
[37]
J. Beck; F. Nobile; L. Tamellini; R. Tempone : MATHICSE Technical Report : A quasi-optimal sparse grids procedure for groundwater flows. 2012-11.
[36]
M. Motamed; F. Nobile; R. Tempone : MATHICSE Technical Report : Analysis and computation of the elastic wave equation with random coefficients. 2012-08-23.
[35]
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.
[34]
E. Faou; F. Nobile; C. Vuillot : MATHICSE Technical Report : Sparse spectral approximations for computing polynomial functionals. 2012-07-12.
[33]
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.
[32]
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.
[31]
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.
[30]
E. Faou; F. Nobile; C. Vuillot : Sparse spectral approximations for computing polynomial functionals; ...... 2012.
[29]
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.
[28]
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.
[27]
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.
[26]
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.
[25]
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.
[24]
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.
[23]
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.
[22]
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.
[21]
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.
[20]
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.
[19]
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.
[18]
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.
[17]
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.
[16]
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.
[15]
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.
[14]
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.
[13]
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.
[12]
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.
[11]
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.
[10]
F. Nobile : A posteriori error estimates for the finite element approximation of the Stokes problem; TICAM Report 03-13. 2003.
[9]
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.
[8]
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.
[7]
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.
[6]
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.
[5]
L. Formaggia; F. Nobile : Advances on numerical modelling of blood flow problems. 2001. ECCOMAS 2000.
[4]
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.
[3]
F. Nobile : Numerical approximation of fluid-structure interaction problems with application to haemodynamics. Lausanne, EPFL, 2001. DOI : 10.5075/epfl-thesis-2458.
[2]
F. Nobile; L. Formaggia : A Stability Analysis for the Arbitrary Lagrangian Eulerian Formulation with Finite Elements; East-West Journal of Numerical Mathematics. 1999.
[1]
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.

Fabio Nobile’s Publications

[138]
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.
[137]
M. C. Martin : Stochastic approximation methods for PDE constrained optimal control problems with uncertain parameters. Lausanne, EPFL, 2019. DOI : 10.5075/epfl-thesis-7233.
[136]
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.
[135]
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.
[134]
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.
[133]
M. Pisaroni; F. Nobile; P. Leyland : MATHICSE Technical Report : A continuation-multilevel Monte Carlo evolutionary algorithm for robust aerodynamic shape design. 2018-04-10.
[132]
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.
[131]
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.
[130]
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.
[129]
S. Brugiapaglia; S. Micheletti; F. Nobile; S. Perotto : Wavelet-Fourier CORSING techniques for multi-dimensional advection-diffusion-reaction equations. 2018.
[128]
G. Migliorati; F. Nobile : Stable high-order randomized cubature formulae in arbitrary dimension; .... 2018.
[127]
M. C. Martin; F. Nobile : PDE-constrained optimal control problems with uncertain parameters using SAGA; .... 2018.
[126]
F. Bonizzoni; F. Nobile; I. Perugia; D. Pradovera : Fast Least-Squares Padé approximation of problems with normal operators and meromorphic structure; .... 2018.
[125]
F. Bonizzoni; F. Nobile; I. Perugia; D. Pradovera : Least-Squares Padé approximation of parametric and stochastic Helmholtz maps. 2018.
[124]
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.
[123]
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.
[122]
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.
[121]
S. Krumscheid; F. Nobile : Multilevel Monte Carlo Approximation of Functions; SIAM/ASA Journal on Uncertainty Quantification. 2018. DOI : 10.1137/17M1135566.
[120]
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.
[119]
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.
[118]
D. S. Guignard; F. Nobile : MATHICSE Technical Report : A posteriori error estimation for the stochastic collocation finite element method. 2017-11-03.
[117]
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.
[116]
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.
[115]
A. L. Haji Ali; F. Nobile; R. Tempone; S. Wolfers : MATHICSE Technical Report : Multilevel weighted least squares polynomial approximation. 2017-09-11.
[114]
E. Musharbash; F. Nobile : MATHICSE Technical Report : Symplectic dynamical low rank approximation of wave equations with random parameters. 2017-08-29.
[113]
S. Krumscheid; F. Nobile : MATHICSE Technical Report : Multilevel Monte Carlo approximation of functions. 2017-04-10.
[112]
E. Musharbash; F. Nobile : MATHICSE Technical Report : Dual dynamically orthogonal approximation of incompressible Navier Stokes equations with random boundary conditions. 2017.
[111]
M. Pisaroni : Multi Level Monte Carlo Methods for Uncertainty Quantification and Robust Design Optimization in Aerodynamics. Lausanne, EPFL, 2017. DOI : 10.5075/epfl-thesis-8082.
[110]
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.
[109]
E. Musharbash : Dynamical Low Rank approximation of PDEs with random parameters. Lausanne, EPFL, 2017. DOI : 10.5075/epfl-thesis-7813.
[108]
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.
[107]
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.
[106]
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.
[105]
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.
[104]
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.
[103]
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.
[102]
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.
[101]
F. Bonizzoni; F. Nobile; I. Perugia : MATHICSE Technical Report :Convergence analysis of Padé approximations for Helmholtz frequency response problems. 2016-07-19.
[100]
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.
[99]
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.
[98]
D. S. Guignard : A posteriori error estimation for partial differential equations with random input data. Lausanne, EPFL, 2016. DOI : 10.5075/epfl-thesis-7260.
[97]
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.
[96]
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.
[95]
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.
[94]
F. Tesei : Numerical Approximation of Flows in Random Porous Media. Lausanne, EPFL, 2016. DOI : 10.5075/epfl-thesis-6860.
[93]
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.
[92]
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.
[91]
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.
[90]
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.
[89]
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.
[88]
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.
[87]
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.
[86]
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.
[85]
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.
[84]
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.
[83]
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.
[82]
A. L. Haji Ali; F. Nobile; L. Tamellini; R. Tempone : MATHICSE Technical Report : Multi-index stochastic collocation for random PDEs. 2015-09-10.
[81]
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.
[80]
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.
[79]
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.
[78]
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.
[77]
A. Abdulle; S. Deparis; D. Kressner; F. Nobile; M. Picasso : Numerical Mathematics and Advanced Applications - ENUMATH 2013. 2015.
[76]
A. Chernov; F. Nobile : Numerical Methods For Uncertainty Quantification; International Journal For Uncertainty Quantification. 2015. DOI : 10.1615/Int.J.UncertaintyQuantification.2015014190.
[75]
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.
[74]
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.
[73]
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.
[72]
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.
[71]
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.
[70]
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.
[69]
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.
[68]
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.
[67]
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.
[66]
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.
[65]
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.
[64]
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.
[63]
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.
[62]
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.
[61]
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.
[60]
F. Bonizzoni; F. Nobile; D. Kressner : MATHICSE Technical Report : Tensor train approximation of moment equations for the log-normal Darcy problem. 2014-09-30.
[59]
A. L. Haji Ali; F. Nobile; R. Tempone : MATHICSE Technical Report : Multi index Monte Carlo: when sparsity meets sampling. 2014-06-17.
[58]
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.
[57]
E. Musharbash; F. Nobile; T. Zhou : MATHICSE Technical Report : On the dynamically orthogonal approximation of time dependent random PDEs. 2014-03-18.
[56]
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.
[55]
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.
[54]
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.
[53]
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.
[52]
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.
[51]
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.
[50]
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.
[49]
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.
[48]
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.
[47]
F. Bonizzoni; F. Nobile : Perturbation analysis for the Darcy problem with log-normal permeability; SIAM/ASA Journal on Uncertainty Quantification. 2014. DOI : 10.1137/130949415.
[46]
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.
[45]
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.
[44]
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.
[43]
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.
[42]
F. Bonizzoni; F. Nobile : MATHICSE Technical Report : Perturbation analysis for the Darcy problem with log-normal permeability. 2013-09-17.
[41]
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.
[40]
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.
[39]
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.
[38]
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.
[37]
J. Beck; F. Nobile; L. Tamellini; R. Tempone : MATHICSE Technical Report : A quasi-optimal sparse grids procedure for groundwater flows. 2012-11.
[36]
M. Motamed; F. Nobile; R. Tempone : MATHICSE Technical Report : Analysis and computation of the elastic wave equation with random coefficients. 2012-08-23.
[35]
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.
[34]
E. Faou; F. Nobile; C. Vuillot : MATHICSE Technical Report : Sparse spectral approximations for computing polynomial functionals. 2012-07-12.
[33]
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.
[32]
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.
[31]
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.
[30]
E. Faou; F. Nobile; C. Vuillot : Sparse spectral approximations for computing polynomial functionals; ...... 2012.
[29]
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.
[28]
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.
[27]
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.
[26]
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.
[25]
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.
[24]
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.
[23]
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.
[22]
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.
[21]
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.
[20]
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.
[19]
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.
[18]
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.
[17]
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.
[16]
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.
[15]
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.
[14]
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.
[13]
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.
[12]
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.
[11]
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.
[10]
F. Nobile : A posteriori error estimates for the finite element approximation of the Stokes problem; TICAM Report 03-13. 2003.
[9]
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.
[8]
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.
[7]
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.
[6]
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.
[5]
L. Formaggia; F. Nobile : Advances on numerical modelling of blood flow problems. 2001. ECCOMAS 2000.
[4]
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.
[3]
F. Nobile : Numerical approximation of fluid-structure interaction problems with application to haemodynamics. Lausanne, EPFL, 2001. DOI : 10.5075/epfl-thesis-2458.
[2]
F. Nobile; L. Formaggia : A Stability Analysis for the Arbitrary Lagrangian Eulerian Formulation with Finite Elements; East-West Journal of Numerical Mathematics. 1999.
[1]
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.

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Software

Sparse grids Matlab kit

Freely available subject to a BSD 2-Clause License . Compatible with MATLAB from release R2011b.

 

Please cite this toolbox by mentioning the webpage containing the package (http://csqi.epfl.ch)
and adding the following reference to your work:

@InCollection{back.nobile.eal:comparison,
  author    = {B\ »ack, J. and Nobile, F. and Tamellini, L. and Tempone, R.},
  title        = {Stochastic spectral {G}alerkin and collocation methods for {PDE}s with random coefficients: a numerical comparison},
  booktitle    = {Spectral and High Order Methods for Partial Differential Equations},
  pages        = {43–62},
  publisher    = {Springer},
  year        = 2011,
  volume    = 76,
  series    = {Lecture Notes in Computational Science and Engineering},
  editor    = {Hesthaven, J.S. and Ronquist, E.M.},
  note        = {Selected papers from the ICOSAHOM ’09 conference, June 22-26, Trondheim, Norway}
}

Software

Sparse grids Matlab kit

Freely available subject to a BSD 2-Clause License . Compatible with MATLAB from release R2011b.

 

Please cite this toolbox by mentioning the webpage containing the package (http://csqi.epfl.ch)
and adding the following reference to your work:

@InCollection{back.nobile.eal:comparison,
  author    = {B\ »ack, J. and Nobile, F. and Tamellini, L. and Tempone, R.},
  title        = {Stochastic spectral {G}alerkin and collocation methods for {PDE}s with random coefficients: a numerical comparison},
  booktitle    = {Spectral and High Order Methods for Partial Differential Equations},
  pages        = {43–62},
  publisher    = {Springer},
  year        = 2011,
  volume    = 76,
  series    = {Lecture Notes in Computational Science and Engineering},
  editor    = {Hesthaven, J.S. and Ronquist, E.M.},
  note        = {Selected papers from the ICOSAHOM ’09 conference, June 22-26, Trondheim, Norway}
}

Library management

csqi books

 Title  Authors Borrowed by
A distribution-free theory of nonparametric regression L. Györfi, M. Kohler, A. Krzyzak, H. Walk  
Analyse : Recueil d’exercices et aide-mémoire, vol. 1 J. Douchet  
Analyse : Recueil d’exercices et aide-mémoire, vol. 2 J. Douchet  
Calcul différentiel et intégral : Fonctions réelles d’une ou de plusieurs variables réelles J. Douchet, B. Zwahlen  
Finite Elements and Fast Iterative Solvers H. Elman, D. Silvester, A. Wathen  
Finite Elements: Theory, Fast Solvers, and Applications in Solid Mechanics D. Braess  
Introduction à l’analyse numérique J. Rappaz, M. Picasso  
Learning theory – An Approximation theory viewpoint F. Cucker, D. Zhou  
Methods of the Theory of Functions of Many Complex Variables V. Vladimirov  
Mixed finite elements and applications D. Boffi, F. Brezzi, M. Fortin  
Modeling Groundwater Flow and Contaminant Transport J. Bear, A. Cheng   
Numerical Models for Differential Problems A. Quarteroni  
Random Fields and Geometry R. Adler, J. Taylor  
Regularization of Inverse Problems H. Engl, M. Hanke A. Neubauer  
Sensitivity & Uncertainty Analysis, Volume 1: Theory D. Cacuci  Diane
Solving Numerical PDEs : Problems, Applications, Exercises L. Formaggia, F. Saleri, A. Veneziani  
Sobolev spaces R. Adams  
Spectral Methods for Uncertainty Quantification O. Le Maitre, O. Knio  
Spectral methods: fundamentals in single domains C. Canuto, M. Y. Hussaini, A. Quarteroni, T. A. Zhang  
Statistical and Computational Inverse Problems J. Kaipio, E. Somersalo  
Tensor Spaces and Numerical Tensor Calculus  W. Hackbusch  
Theory and Practice of Finite Elements  A. Ern, J. Guermond  
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     

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Topics for Fall semester 2019

  • Deterministic and stochastic gradient methods for optimization under uncertainty; application to fluid flow control
  • Robust optimization methods based on Gaussian Process Regression and expected improvement
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  • Deterministic and stochastic gradient methods for optimization under uncertainty; application to fluid flow control
  • Robust optimization methods based on Gaussian Process Regression and expected improvement
  • Approximation of parametric time harmonic equations by adaptive rational model order reduction; application to frequency response function approximation of acoustic or electromagnetic problems

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CONFERENCES

 

 

 

 

 

  • Giovanni Migliorati received the prize of thesis of École polytechnique 2014
    Giovanni Migliorati (CSQI), has obtained a prize for his thesis « Polynomial approximation by means of the random discrete L2 projection and application to inverse problems for PDEs with stochastic data ».
    For the selection of the thesis prize in 2014, a special jury was convened under the chairmanship of Professor Alain Aspect, professor at the Institute of Optics, at the École Polytechnique and member of the Academy of Sciences. The jury is composed of all the members of the thesis committees. All theses during the calendar year preceding the meeting have been examined. Fifteen new doctors of École Polytechnique, selected by the jury on May 26, 2014, are now awarded among the 149 PhDs in the year 2013.

 

  • SIAM UQ   –  March 31 – April 3, 2014 – Hyatt Regency Savannah, Georgia, USA
 
   
 
   
  • ENUMATH   2013   –  26  –  30 August, 2013  –  EPFL, Lausanne 
 
   

 

 

SERIES AND JOURNALS

 
  SIMAI Springer Series
ISSN : 2280-840X

Stochastic Partial Differential Equations: Analysis and Computations

Springer Journal no. 40072 –  ISSN: 2194-0401

 

 

ACTIVITIES

 

  • GAMM

Join the GAMM « Activity group on Uncertainty Quantification

   

 

 
   
  • ECCOMAS Award for the best PhD Thesis in 2016 to Dr Diane Guignard (GR-PI & CSQI, EPFL)
    Dr Diane Guignard, member of the Chair of Scientific Computing and Uncertainty Quantification and the Group Picasso, Institute of Mathematics, EPFL, has been awarded the ECCOMAS Award for for one of the two best PhD Theses in 2016, for her PhD Thesis entitled « A posteriori error estimation for partial differential equations with random input data » (EPFL thesis #7260, 2016). The European Community on Computational Methods in Applied Sciences (ECCOMAS) attributes the award to highlight outstanding achievements of two young persons at the start of their scientific careers; the awards will be handed over at the ECCOMAS Young Investigator Conference – YIC 2017, Milan, Italy, September 13 – 15. Many congratulations to Diane!
   
 
   
   
  • NASPDE 2014   – September 09 – 10, 2014  at  EPFL, Lausanne 
 

 

 

  • Giovanni Migliorati received the prize of thesis of École polytechnique 2014
    Giovanni Migliorati (CSQI), has obtained a prize for his thesis « Polynomial approximation by means of the random discrete L2 projection and application to inverse problems for PDEs with stochastic data ».
    For the selection of the thesis prize in 2014, a special jury was convened under the chairmanship of Professor Alain Aspect, professor at the Institute of Optics, at the École Polytechnique and member of the Academy of Sciences. The jury is composed of all the members of the thesis committees. All theses during the calendar year preceding the meeting have been examined. Fifteen new doctors of École Polytechnique, selected by the jury on May 26, 2014, are now awarded among the 149 PhDs in the year 2013.

 

  • ENUMATH   2013   –  26 – 30 August –   2013  at  EPFL, Lausanne 
 

 

 

 
   
  • ECCOMAS Award for the best PhD Thesis in 2016 to Dr Diane Guignard (GR-PI & CSQI, EPFL)
    Dr Diane Guignard, member of the Chair of Scientific Computing and Uncertainty Quantification and the Group Picasso, Institute of Mathematics, EPFL, has been awarded the ECCOMAS Award for for one of the two best PhD Theses in 2016, for her PhD Thesis entitled « A posteriori error estimation for partial differential equations with random input data » (EPFL thesis #7260, 2016). The European Community on Computational Methods in Applied Sciences (ECCOMAS) attributes the award to highlight outstanding achievements of two young persons at the start of their scientific careers; the awards will be handed over at the ECCOMAS Young Investigator Conference – YIC 2017, Milan, Italy, September 13 – 15. Many congratulations to Diane!
   
 
   
   
  • NASPDE 2014   – September 09 – 10, 2014  at  EPFL, Lausanne 
 

 

 

  • Giovanni Migliorati received the prize of thesis of École polytechnique 2014
    Giovanni Migliorati (CSQI), has obtained a prize for his thesis « Polynomial approximation by means of the random discrete L2 projection and application to inverse problems for PDEs with stochastic data ».
    For the selection of the thesis prize in 2014, a special jury was convened under the chairmanship of Professor Alain Aspect, professor at the Institute of Optics, at the École Polytechnique and member of the Academy of Sciences. The jury is composed of all the members of the thesis committees. All theses during the calendar year preceding the meeting have been examined. Fifteen new doctors of École Polytechnique, selected by the jury on May 26, 2014, are now awarded among the 149 PhDs in the year 2013.

 

  • ENUMATH   2013   –  26 – 30 August –   2013  at  EPFL, Lausanne 
 

 

 

CONFERENCES

 

 

 

 

 

  • Giovanni Migliorati received the prize of thesis of École polytechnique 2014
    Giovanni Migliorati (CSQI), has obtained a prize for his thesis « Polynomial approximation by means of the random discrete L2 projection and application to inverse problems for PDEs with stochastic data ».
    For the selection of the thesis prize in 2014, a special jury was convened under the chairmanship of Professor Alain Aspect, professor at the Institute of Optics, at the École Polytechnique and member of the Academy of Sciences. The jury is composed of all the members of the thesis committees. All theses during the calendar year preceding the meeting have been examined. Fifteen new doctors of École Polytechnique, selected by the jury on May 26, 2014, are now awarded among the 149 PhDs in the year 2013.

 

  • SIAM UQ   –  March 31 – April 3, 2014 – Hyatt Regency Savannah, Georgia, USA
 
   
 
   
  • ENUMATH   2013   –  26  –  30 August, 2013  –  EPFL, Lausanne 
 
   

 

 

SERIES AND JOURNALS

 
  SIMAI Springer Series
ISSN : 2280-840X

Stochastic Partial Differential Equations: Analysis and Computations

Springer Journal no. 40072 –  ISSN: 2194-0401

 

 

ACTIVITIES

 

  • GAMM

Join the GAMM « Activity group on Uncertainty Quantification

   

 

 
   
  • ECCOMAS Award for the best PhD Thesis in 2016 to Dr Diane Guignard (GR-PI & CSQI, EPFL)
    Dr Diane Guignard, member of the Chair of Scientific Computing and Uncertainty Quantification and the Group Picasso, Institute of Mathematics, EPFL, has been awarded the ECCOMAS Award for for one of the two best PhD Theses in 2016, for her PhD Thesis entitled « A posteriori error estimation for partial differential equations with random input data » (EPFL thesis #7260, 2016). The European Community on Computational Methods in Applied Sciences (ECCOMAS) attributes the award to highlight outstanding achievements of two young persons at the start of their scientific careers; the awards will be handed over at the ECCOMAS Young Investigator Conference – YIC 2017, Milan, Italy, September 13 – 15. Many congratulations to Diane!
   
 
   
   
  • NASPDE 2014   – September 09 – 10, 2014  at  EPFL, Lausanne 
 

 

 

  • Giovanni Migliorati received the prize of thesis of École polytechnique 2014
    Giovanni Migliorati (CSQI), has obtained a prize for his thesis « Polynomial approximation by means of the random discrete L2 projection and application to inverse problems for PDEs with stochastic data ».
    For the selection of the thesis prize in 2014, a special jury was convened under the chairmanship of Professor Alain Aspect, professor at the Institute of Optics, at the École Polytechnique and member of the Academy of Sciences. The jury is composed of all the members of the thesis committees. All theses during the calendar year preceding the meeting have been examined. Fifteen new doctors of École Polytechnique, selected by the jury on May 26, 2014, are now awarded among the 149 PhDs in the year 2013.

 

  • ENUMATH   2013   –  26 – 30 August –   2013  at  EPFL, Lausanne 
 

 

 

 
   
  • ECCOMAS Award for the best PhD Thesis in 2016 to Dr Diane Guignard (GR-PI & CSQI, EPFL)
    Dr Diane Guignard, member of the Chair of Scientific Computing and Uncertainty Quantification and the Group Picasso, Institute of Mathematics, EPFL, has been awarded the ECCOMAS Award for for one of the two best PhD Theses in 2016, for her PhD Thesis entitled « A posteriori error estimation for partial differential equations with random input data » (EPFL thesis #7260, 2016). The European Community on Computational Methods in Applied Sciences (ECCOMAS) attributes the award to highlight outstanding achievements of two young persons at the start of their scientific careers; the awards will be handed over at the ECCOMAS Young Investigator Conference – YIC 2017, Milan, Italy, September 13 – 15. Many congratulations to Diane!
   
 
   
   
  • NASPDE 2014   – September 09 – 10, 2014  at  EPFL, Lausanne 
 

 

 

  • Giovanni Migliorati received the prize of thesis of École polytechnique 2014
    Giovanni Migliorati (CSQI), has obtained a prize for his thesis « Polynomial approximation by means of the random discrete L2 projection and application to inverse problems for PDEs with stochastic data ».
    For the selection of the thesis prize in 2014, a special jury was convened under the chairmanship of Professor Alain Aspect, professor at the Institute of Optics, at the École Polytechnique and member of the Academy of Sciences. The jury is composed of all the members of the thesis committees. All theses during the calendar year preceding the meeting have been examined. Fifteen new doctors of École Polytechnique, selected by the jury on May 26, 2014, are now awarded among the 149 PhDs in the year 2013.

 

  • ENUMATH   2013   –  26 – 30 August –   2013  at  EPFL, Lausanne 
 

 

Offres d’emploi

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Séminaires

SÉMINAIRES

Dr Oran Rami Mangoubi Laboratoire de théorie du calcul 3, EPFL – November 14,  2017
« Rapid mixing bounds for Hamiltonian Monte Carlo on strongly logconcave distributions »
Prof. Kody  Law Oak Ridge National Laboratory, USA – October 31,  2017
« Multilevel Monte Carlo for Inference »
Dr Peter Zaspel Mathematics Institute, University of Basel, CH – October 24,  2017
« Optimal – complexity kernel – based stochastic collocation with applications in fluid mechanics »
Prof. Anders Szepessy KTH Royal Intitute of Technologie, Sweden – October 18,  2017
« Quantum particle dynamics approximated by molecular dynamics « 
Dr Per Pettersson University of Bergen – Norway – October 17,  2017
« Data – driven uncertainty quantification for transport problems in structured porous media »
Dr Enrico Facca University of Padua – Italy – April 27,  2017
« Biologically inspired formul ation of optimal transportation problems. An unexpected branching source »
Prof. Ludovic Chamoin LMT Cachan – France – April 5,  2017
« On the use of PGD model reduction for simplified V&V procedures »
Dr. Domenico Quagliarella Italian Aerospace Research Center – Italy – January 12, 2017
« Risk measures in the context of robust and reliability based optimization « 
Prof. Arnaud Doucet University of Oxford, Saudi Arabia – October 17, 2016
« The Correlated Pseudo-Marginal Method for Inference in Latent Variable … »
Dr. Joakim Beck King Abdullah University of Science and Technology, Saudi Arabia – July 13, 2016
« Sequential Design with Mutual Information for Computer Experiments using Gaussian Process Models »
Dr. Drew Kouri Sandia National Laboratories  – USA – April 11, 2016
« A data-driven approach to PDE-constrained optimization under uncertainty »
Dr. Tao Zhou Chinese Academy of Sciences  – Beijing, China – April 11, 2016
« A generalized sampling and preconditioning scheme for sparse approximation of polynomial chaos expansions »
Dr. Mauro Perego Sandia National Laboratories  – USA – April 1, 2016
« Computational and mathematical challenges in ice sheet modeling »
Dr. Marta D’Elia Sandia National Laboratories  – USA – March 31, 2016
« Ensemble grouping strategies for embedded stochastic collocation methods applied to anisotropic diffusion problems »
Prof. Michele Ceriotti Laboratory of Computational Science and Modelling  – EPFL – February 16, 2016
« From atomic environments to meso-scale structures. Mapping complexity in materials »
Dr Harri Hakula Aalto University  – Finland – October 28, 2015
« On Pointwise Convergence of Legendre Expansions »
Prof. Robert Moser
University of Texas at Austin – USA – June 2, 2015
« Validating Computational Predictions of Unobserved Quantities »
Dr Christian Rieger
University of Bonn, Institute of Numerical Simulation – Germany – May 20, 2015
« Reproducing kernel methods for parametric partial… »
Mr Andrea Pallavicini
Head of Equity, FX and Commodity Models, Banca IMI – Italy – March 11, 2015
« Numerical Methods for FX Derivative Pricing »
Dr David Ginsbourger
University Bern – Switzerland – October 17, 2014
« Gaussian random field models for the adaptive  design of costly experiments »
Dr Claudia Schillings
ETHZ, SAM, Zürich – Switzerland – May 21, 2014
« Optimal aerodynamic design under uncertainty »
Prof. Antonio Falco Universidad CEU Cardenal Herrera – Spain – February 12, 2014
« Geometric structures and tensor based a lgorithms »
Dr Marco Verani Politecnico di Milano – Italy – December 5, 2013
« Adaptive Fourier-Galerkin methods »
Dr Thomas Carraro Ruprecht-Karls-University, Heidelberg – Germany – March 6, 2013
« Uncertainty reduction of model parameters by optimal experimental design »
Prof. Raul Tempone King Abdullah University, Thuwal – Kingdow of Saudia Arabia – February 6, 2013
« Fast estimation of expected information gains for Bayesian experimental… »
Dr Guglielmo Scovazzi Sandia National Laboratories, Albuquerque – USA – Sept 13, 2012
« High-order discontinuous Galerkin methods for flows in porous media »
Dr Houssem Haddar CMAP, Ecole Polytechnique, Palaiseau – FR – August 31, 2012
« On qualitative methods for inverse scattering problems »
Dr Mohammad Motamed KAUST, Jeddah, Saudi Arabia – July 17, 2012
« Acoustic and elastic waves in random media »
Dr Madalina Deaconu INRA, Nancy-Grand Est, FR – July 11, 2012
« A random walk on moving spheres algorithm approaching hitting … »
Dr Emmanuil Georgoulis University of Leicester – UK – June 13, 2012
« On numerical methods for multiscale elliptic problems »
Prof. Vincent Heuveline
Dr Michael Schick
Karlsruhe Institute of Technology, DE – May 29, 2012
« High Performance Computing: Challenges and Perspectives »
Dr Erik von Schwerin KAUST, Saudi Arabia – April 18, 2012
Adaptive multilevel Monte Carlo simulation of Ito SDEs
Prof. Albert Cohen University Pierre & Marie Curie, Paris – FR – October 25, 2011
« Dimensionality Reduction by Greedy Sampling in Hilbert Spaces »

VISITEURS

Seminars

SEMINARS

Dr Oran Rami Mangoubi Laboratoire de théorie du calcul 3, EPFL – November 14,  2017
« Rapid mixing bounds for Hamiltonian Monte Carlo on strongly logconcave distributions »
Prof. Kody  Law Oak Ridge National Laboratory, USA – October 31,  2017
« Multilevel Monte Carlo for Inference »
Dr Peter Zaspel Mathematics Institute, University of Basel, CH – October 24,  2017
« Optimal – complexity kernel – based stochastic collocation with applications in fluid mechanics »
Prof. Anders Szepessy KTH Royal Intitute of Technologie, Sweden – October 18,  2017
« Quantum particle dynamics approximated by molecular dynamics « 
Dr Per Pettersson University of Bergen – Norway – October 17,  2017
« Data – driven uncertainty quantification for transport problems in structured porous media »
Dr Enrico Facca University of Padua – Italy – April 27,  2017
« Biologically inspired formul ation of optimal transportation problems. An unexpected branching source »
Prof. Ludovic Chamoin LMT Cachan – France – April 5,  2017
« On the use of PGD model reduction for simplified V&V procedures »
Dr. Domenico Quagliarella Italian Aerospace Research Center – Italy – January 12, 2017
« Risk measures in the context of robust and reliability based optimization « 
Prof. Arnaud Doucet University of Oxford, Saudi Arabia – October 17, 2016
« The Correlated Pseudo-Marginal Method for Inference in Latent Variable … »
Dr. Joakim Beck King Abdullah University of Science and Technology, Saudi Arabia – July 13, 2016
« Sequential Design with Mutual Information for Computer Experiments using Gaussian Process Models »
Dr. Drew Kouri Sandia National Laboratories  – USA – April 11, 2016
« A data-driven approach to PDE-constrained optimization under uncertainty »
Dr. Tao Zhou Chinese Academy of Sciences  – Beijing, China – April 11, 2016
« A generalized sampling and preconditioning scheme for sparse approximation of polynomial chaos expansions »
Dr. Mauro Perego Sandia National Laboratories  – USA – April 1, 2016
« Computational and mathematical challenges in ice sheet modeling »
Dr. Marta D’Elia Sandia National Laboratories  – USA – March 31, 2016
« Ensemble grouping strategies for embedded stochastic collocation methods applied to anisotropic diffusion problems »
Prof. Michele Ceriotti Laboratory of Computational Science and Modelling  – EPFL – February 16, 2016
« From atomic environments to meso-scale structures. Mapping complexity in materials »
Dr Harri Hakula Aalto University  – Finland – October 28, 2015
« On Pointwise Convergence of Legendre Expansions »
Prof. Robert Moser
University of Texas at Austin – USA – June 2, 2015
« Validating Computational Predictions of Unobserved Quantities »
Dr Christian Rieger
University of Bonn, Institute of Numerical Simulation – Germany – May 20, 2015
« Reproducing kernel methods for parametric partial… »
Mr Andrea Pallavicini
Head of Equity, FX and Commodity Models, Banca IMI – Italy – March 11, 2015
« Numerical Methods for FX Derivative Pricing »
Dr David Ginsbourger
University Bern – Switzerland – October 17, 2014
« Gaussian random field models for the adaptive  design of costly experiments »
Dr Claudia Schillings
ETHZ, SAM, Zürich – Switzerland – May 21, 2014
« Optimal aerodynamic design under uncertainty »
Prof. Antonio Falco Universidad CEU Cardenal Herrera – Spain – February 12, 2014
« Geometric structures and tensor based a lgorithms »
Dr Marco Verani Politecnico di Milano – Italy – December 5, 2013
« Adaptive Fourier-Galerkin methods »
Dr Thomas Carraro Ruprecht-Karls-University, Heidelberg – Germany – March 6, 2013
« Uncertainty reduction of model parameters by optimal experimental design »
Prof. Raul Tempone King Abdullah University, Thuwal – Kingdow of Saudia Arabia – February 6, 2013
« Fast estimation of expected information gains for Bayesian experimental… »
Dr Guglielmo Scovazzi Sandia National Laboratories, Albuquerque – USA – Sept 13, 2012
« High-order discontinuous Galerkin methods for flows in porous media »
Dr Houssem Haddar CMAP, Ecole Polytechnique, Palaiseau – FR – August 31, 2012
« On qualitative methods for inverse scattering problems »
Dr Mohammad Motamed KAUST, Jeddah, Saudi Arabia – July 17, 2012
« Acoustic and elastic waves in random media »
Dr Madalina Deaconu INRA, Nancy-Grand Est, FR – July 11, 2012
« A random walk on moving spheres algorithm approaching hitting … »
Dr Emmanuil Georgoulis University of Leicester – UK – June 13, 2012
« On numerical methods for multiscale elliptic problems »
Prof. Vincent Heuveline
Dr Michael Schick
Karlsruhe Institute of Technology, DE – May 29, 2012
« High Performance Computing: Challenges and Perspectives »
Dr Erik von Schwerin KAUST, Saudi Arabia – April 18, 2012
Adaptive multilevel Monte Carlo simulation of Ito SDEs
Prof. Albert Cohen University Pierre & Marie Curie, Paris – FR – October 25, 2011
« Dimensionality Reduction by Greedy Sampling in Hilbert Spaces »

VISITORS

Formers collaborators

Bonizzoni Francesca / PhD-Post doc From October 1, 2011 to December 31, 2013
Guignard Diane Sylvie / PhD From September 15, 2012 to November 15, 2016
Hoel Hakon Andreas From October 1, 2016 to October 31, 2017
Krumscheid Sebastian From November 1, 2014 to April 30, 2018
Kumar Rajesh / Post doc From November 1, 2011 to April 30, 2013
Mauri Samuel / PhD From April 1, 2016 to February 28, 2017
Migliorati Giovanni / PhD-Post doc From January 15, 2012 to February 28, 2015
Musharbash Eleonora / PhD From May 1, 2013 to August 31, 2017
Tamellini Lorenzo / PhD-Post doc From January 1, 2012 to April 30, 2015
Tesei Francesco / PhD From November 15, 2011 to November 14, 2015
von Schwerin Erik / Post doc From October 1, 2012 to September 30, 2013
Zhou Tao / Post doc from September 15, 2011  to  September 15, 2012

Exchange Students

Toshniwal Deepesh IST Portugal from November 1, 2012  to  March 31, 2013

Students Internships

Laura Azzimonti MOX, Politecnico di Milano from April 15 to July 15, 2012
Alessandro Melani MOX, Politecnico di Milano from April 15 to July 15, 2012
Eleonora Arnone MOX, Politecnico di Milano from April 15 to July 15, 2016
Marco Ballesio KAUST, Saudi Arabia from June 1 to July 31, 2016

Temporary Scientific Collaborators

Simone Brugiapaglia MOX, Politecnico di Milano from November 1, 2015 to April 30, 2016
Joakim Henrik Beck UCL, UK from June 1 to July 31, 2016

Master Student Internships

Eleonora Musharbash MOX, Politecnico di Milano from May 1 to October 31,  2012

Anciens collaborateurs

Bonizzoni Francesca / PhD-Post doc From October 1, 2011 to December 31, 2013
Guignard Diane Sylvie / PhD From September 15, 2012 to November 15, 2016
Hoel Hakon Andreas From October 1, 2016 to October 31, 2017
Krumscheid Sebastian From November 1, 2014 to April 30, 2018
Kumar Rajesh / Post doc From November 1, 2011 to April 30, 2013
Mauri Samuel / PhD From April 1, 2016 to February 28, 2017
Migliorati Giovanni / PhD-Post doc From January 15, 2012 to February 28, 2015
Musharbash Eleonora / PhD From May 1, 2013 to August 31, 2017
Tamellini Lorenzo / PhD-Post doc From January 1, 2012 to April 30, 2015
Tesei Francesco / PhD From November 15, 2011 to November 14, 2015
von Schwerin Erik / Post doc From October 1, 2012 to September 30, 2013
Zhou Tao / Post doc from September 15, 2011  to  September 15, 2012

Exchange Students

Toshniwal Deepesh IST Portugal from November 1, 2012  to  March 31, 2013

Students Internships

Laura Azzimonti MOX, Politecnico di Milano from April 15 to July 15, 2012
Alessandro Melani MOX, Politecnico di Milano from April 15 to July 15, 2012
Eleonora Arnone MOX, Politecnico di Milano from April 15 to July 15, 2016
Marco Ballesio KAUST, Saudi Arabia from June 1 to July 31, 2016

Temporary Scientific Collaborators

Simone Brugiapaglia MOX, Politecnico di Milano from November 1, 2015 to April 30, 2016
Joakim Henrik Beck UCL, UK from June 1 to July 31, 2016

Master Student Internships

Eleonora Musharbash MOX, Politecnico di Milano from May 1 to October 31,  2012

Privé : Prof. Fabio Nobile

Fabio Nobile

Personal Data

Born in Milano (MI) on January 10th, 1974   –  Nationality Italian

Education

    • 2001 – PhD in Applied Mathematics at the Ecole Polytechnique Fédérale de Lausanne, Switzerland.
      Thesis title : Numerical approximation of fluid-structure interaction problems with application to haemodynamics.
  • 1998 – Degree in Electronic Engineering at the Politecnico di Milano, Italy (5 years degree curriculum),
    with honors (final mark: 100/100 cum laude)

Professional Experience

    • August 2011 : present: Associate Professor of mathematics, EPFL, Switzerland.
    • May 2011 : Invited professor, Jacques-Louis Lions Laboratory, Université Pierre et Marie Curie, Paris, France.
    • June 2010 : Italian habilitation to Associate Professor level in Numerical Analysis.
    • January 2005 – present : Assistant Professor at the Department of Mathematics, Politecnico di Milano.
    • July 4 – August 30, 2005 ; July 23 – August 12, 2006 ; July 28 – August 22, 2007 ; July 16 – August 6, 2008 ; July 30 – August 14, 2009 : Visiting Faculty Fellow at ICES, University of Texas at Austin.
    • October 2004 – December 2004 : Postdoctoral Fellow at the Department of Mathematics, Politecnico of Milan.
    • April 2002 – August 2004 : Postdoctoral Fellow at ICES, Institute for Computational Engineering and Sciences, University of Texas at Austin. Advisors : Prof. J. Tinsley Oden, Prof. Ivo Babuska.
  • July 1998 – March 2002 : Research Assistant in the chair of Prof. Quarteroni, Département de Mathématiques, Ecole Polytechnique Fédérale de Lausanne.

Honors and Awards

    • Plenary speaker at CANUM 2010 (Congrès National d’Analyse Numérique), May 31 – June 4, 2010, Carcans-Maubuisson, Gironde, France.
  • Paper republished on SIAM Review. The paper « A stochastic collocation method for elliptic partial differential equations with random input data » by I. Babuska, F. Nobile, and R. Tempone,

Privé : Prof. Fabio Nobile

Fabio Nobile

Personal Data

Born in Milano (MI) on January 10th, 1974   –  Nationality Italian

Education

    • 2001 – PhD in Applied Mathematics at the Ecole Polytechnique Fédérale de Lausanne, Switzerland.
      Thesis title : Numerical approximation of fluid-structure interaction problems with application to haemodynamics.
  • 1998 – Degree in Electronic Engineering at the Politecnico di Milano, Italy (5 years degree curriculum),
    with honors (final mark: 100/100 cum laude)

Professional Experience

    • August 2011 : present: Associate Professor of mathematics, EPFL, Switzerland.
    • May 2011 : Invited professor, Jacques-Louis Lions Laboratory, Université Pierre et Marie Curie, Paris, France.
    • June 2010 : Italian habilitation to Associate Professor level in Numerical Analysis.
    • January 2005 – present : Assistant Professor at the Department of Mathematics, Politecnico di Milano.
    • July 4 – August 30, 2005 ; July 23 – August 12, 2006 ; July 28 – August 22, 2007 ; July 16 – August 6, 2008 ; July 30 – August 14, 2009 : Visiting Faculty Fellow at ICES, University of Texas at Austin.
    • October 2004 – December 2004 : Postdoctoral Fellow at the Department of Mathematics, Politecnico of Milan.
    • April 2002 – August 2004 : Postdoctoral Fellow at ICES, Institute for Computational Engineering and Sciences, University of Texas at Austin. Advisors : Prof. J. Tinsley Oden, Prof. Ivo Babuska.
  • July 1998 – March 2002 : Research Assistant in the chair of Prof. Quarteroni, Département de Mathématiques, Ecole Polytechnique Fédérale de Lausanne.

Honors and Awards

    • Plenary speaker at CANUM 2010 (Congrès National d’Analyse Numérique), May 31 – June 4, 2010, Carcans-Maubuisson, Gironde, France.
  • Paper republished on SIAM Review. The paper « A stochastic collocation method for elliptic partial differential equations with random input data » by I. Babuska, F. Nobile, and R. Tempone,

Collaborateurs

 

Head of Chair

 
Nobile Fabio Associate Professor  +41 (0)21 693 54 11 MA B1 444  

 

Administration

 
Bordelais Rachel Secretary  +41 (0)21 693 42 44 MA C1 644  

  

Scientist

 
Ayoul-Guilmard Quentin Post-doc +41 (0)21 693 42 34 MA C2 567  
Tsilifis Panagiotis Post-doc +41 (0)21 693 42 34 MA B2 434  
Yoshihito Kazashi Post-doc +41 (0)21 693 42 34 MA B2 434  

 

PhD Students

 
Ganesh Sundar Doctoral student +41(0)21 693 78 28 MA B2 425  
Madrigal Cianci Juan Pablo Doctoral student +41(0)21 693 78 28 MA B2 445  
Martin Matthieu Doctoral student +41(0)21 693 03 79 MA B2 445  
Pradovera Davide Doctoral student +41(0)21 693 79 52 MA B2 425  
Vidlicková Eva Doctoral student +41(0)21 693 09 25 MA B2 425  

 

Exchange Student

 
           

 

Scientific Collaborator temporary

 
           
           

 

People

Head of Chair

Nobile Fabio Associate Professor  +41 (0)21 693 54 11 MA B1 444

Administration

Bordelais Rachel Secretary  +41 (0)21 693 42 44 MA C1 644

Scientist

Ayoul-Guilmard Quentin Post-doc +41 (0)21 693 42 34 MA C2 567
Kazashi Yoshihito Post-doc +41 (0)21 693 42 34 MA B2 434
Tsilifis Panagiotis Post-doc +41 (0)21 693 42 34 MA B2 434

PhD Students

Ganesh Sundar Doctoral student +41(0)21 693 78 28 MA B2 425
Madrigal Cianci Juan Pablo Doctoral student +41(0)21 693 78 28 MA B2 445
Martin Matthieu Doctoral student +41(0)21 693 03 79 MA B2 445
Pradovera Davide Doctoral student +41(0)21 693 79 52 MA B2 425
Vidlicková Eva Doctoral student +41(0)21 693 09 25 MA B2 425

Exchange Student

Scientific Collaborator temporary

Enseignement

Teaching for the Academic Year 2015-2016

Summer schools / other courses

Teaching

Teaching for the Academic Year 2015-2016

Summer schools / other courses

Publications @ CSQI

Only Fabio Nobile’s Publications

2019

D. Pradovera : MATHICSE Technical Report: Interpolatory rational model order reduction of parametric problems lacking uniform inf-sup stability. 2019-05-30.
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.
P. Tsilifis; X. Huan; C. Safta; K. Sargsyan; G. Lacaze et al. : Compressive sensing adaptation for polynomial chaos expansions; Journal Of Computational Physics. 2019-03-01. Vol. 380, p. 29-47. DOI : 10.1016/j.jcp.2018.12.010.
M. C. Martin : Stochastic approximation methods for PDE constrained optimal control problems with uncertain parameters. Lausanne, EPFL, 2019. DOI : 10.5075/epfl-thesis-7233.
M. Pisaroni; F. Nobile; P. Leyland : Continuation Multilevel Monte Carlo Evolutionary Algorithm for Robust Aerodynamic Shape Design; Journal of Aircraft. 2019. Vol. 56, num. 2, p. 771-786. DOI : 10.2514/1.C035054.
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. Vol. 138, p. 50-64. DOI : 10.1016/j.ijengsci.2019.02.003.
E. Arnone; L. Azzimonti; F. Nobile; L. M. Sangalli : Modeling spatially dependent functional data via regression with differential regularization; Journal of Multivariate Analysis. 2019. Vol. 170, p. 175-295. DOI : 10.1016/j.jmva.2018.09.006.

2018

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.
S. Brugiapaglia; S. Micheletti; F. Nobile; S. Perotto : Wavelet-Fourier CORSING techniques for multi-dimensional advection-diffusion-reaction equations. 2018.
G. Migliorati; F. Nobile : Stable high-order randomized cubature formulae in arbitrary dimension; .... 2018.
H. Hoel; K. Karlsen; N. Risebro; E. Storrosten : Path-dependent convex conservation laws; JOURNAL OF DIFFERENTIAL EQUATIONS. 2018. Vol. 265, num. 6, p. 2708-2744. DOI : 10.1016/j.jde.2018.04.045.
M. C. Martin; F. Nobile : PDE-constrained optimal control problems with uncertain parameters using SAGA; .... 2018.
F. Bonizzoni; F. Nobile; I. Perugia; D. Pradovera : Fast Least-Squares Padé approximation of problems with normal operators and meromorphic structure; .... 2018.
F. Bonizzoni; F. Nobile; I. Perugia; D. Pradovera : Least-Squares Padé approximation of parametric and stochastic Helmholtz maps. 2018.
S. Krumscheid : Perturbation-based inference for diffusion processes: Obtaining effective models from multiscale data; Mathematical Models and Methods in Applied Sciences. 2018. Vol. 28, num. 08, p. 1565-1597. DOI : 10.1142/S0218202518500434.
H. A. Hoel; S. Krumscheid : Central limit theorems for multilevel Monte Carlo methods. 2018.
F. Nobile; R. Tempone; S. Wolfers : Sparse approximation of multilinear problems with applications to kernel-based methods in UQ; Numerische Mathematik. 2018. Vol. 139, num. 1, p. 247-280. DOI : 10.1007/s00211-017-0932-4.
D. S. Guignard; F. Nobile : A Posteriori Error Estimation for the Stochastic Collocation Finite Element Method; SIAM Journal on Numerical Analysis. 2018. Vol. 56, num. 5, p. 3121-3143. DOI : 10.1137/17M1155454.
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. Vol. 328, p. 122-146. DOI : 10.1016/j.cma.2017.08.049.
S. Krumscheid; F. Nobile : Multilevel Monte Carlo Approximation of Functions; SIAM/ASA Journal on Uncertainty Quantification. 2018. Vol. 6, num. 3, p. 1256-1293. DOI : 10.1137/17M1135566.
E. Musharbash; F. Nobile : Dual Dynamically Orthogonal approximation of incompressible Navier Stokes equations with random boundary conditions; Journal of Computational Physics. 2018. Vol. 354, p. 135-162. DOI : 10.1016/j.jcp.2017.09.061.
S. Brugiapaglia; F. Nobile; S. Micheletti; S. Perotto : A theoretical study of COmpRessed SolvING for advection-diffusion-reaction problems; Mathematics of Computation. 2018. Vol. 87, p. 1-38. DOI : 10.1090/mcom/3209.

2017

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.
A. L. Haji Ali; F. Nobile; R. Tempone; S. Wolfers : MATHICSE Technical Report : Multilevel weighted least squares polynomial approximation. 2017-09-11.
E. Musharbash; F. Nobile : MATHICSE Technical Report : Symplectic dynamical low rank approximation of wave equations with random parameters. 2017-08-29.
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.
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.
M. Pisaroni : Multi Level Monte Carlo Methods for Uncertainty Quantification and Robust Design Optimization in Aerodynamics. Lausanne, EPFL, 2017. DOI : 10.5075/epfl-thesis-8082.
N. Linde; D. Ginsbourger; J. Irving; F. Nobile; A. Doucet : On uncertainty quantification in hydrogeology and hydrogeophysics; Advances in Water Resources. 2017. Vol. 110, p. 166-181. DOI : 10.1016/j.advwatres.2017.10.014.
T. Hermann; S. Lohle; S. Fasoulas; P. Leyland; L. Marraffa et al. : Influence of Ablation on Vacuum-Ultraviolet Radiation in a Plasma Wind Tunnel Flow; Journal Of Thermophysics And Heat Transfer. 2017. Vol. 31, num. 3, p. 575-585. DOI : 10.2514/1.T4936.
E. Musharbash : Dynamical Low Rank approximation of PDEs with random parameters. Lausanne, EPFL, 2017. DOI : 10.5075/epfl-thesis-7813.
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.
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. Vol. 326, p. 20-50. DOI : 10.1016/j.cma.2017.07.030.
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. Vol. 52, num. 4, p. 1261-1284. DOI : 10.1051/m2an/2017050.
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. Vol. 313, p. 483-511. DOI : 10.1016/j.cma.2016.10.008.
A. Cohen; G. Migliorati; F. Nobile : Discrete least-squares approximations over optimized downward closed polynomial spaces in arbitrary dimension; Constructive Approximation. 2017. Vol. 45, num. 3, p. 497-519. DOI : 10.1007/s00365-017-9364-8.

2016

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.
D. S. Guignard : A posteriori error estimation for partial differential equations with random input data. Lausanne, EPFL, 2016. DOI : 10.5075/epfl-thesis-7260.
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.
A. Chernov; A. Debussche; F. Nobile : Numerical methods for random and stochastic partial differential equations; Stochastics and Partial Differential Equations Analysis and Computations. 2016. Vol. 4, num. 1, p. 1-2. DOI : 10.1007/s40072-016-0073-2.
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.
F. Tesei : Numerical Approximation of Flows in Random Porous Media. Lausanne, EPFL, 2016. DOI : 10.5075/epfl-thesis-6860.
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. Vol. 16, num. 6, p. 1555-1605. DOI : 10.1007/s10208-016-9327-7.
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. Vol. 306, p. 95-122. DOI : 10.1016/j.cma.2016.03.029.
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. Vol. 32, num. 1, p. 175-212. DOI : 10.1002/num.21991.
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. Vol. 308, p. 349-376. DOI : 10.1016/j.cma.2016.05.026.
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. Vol. 71, num. 6, p. 1173-1197. DOI : 10.1016/j.camwa.2016.01.005.
A.-L. Haji-Ali; F. Nobile; R. Tempone : Multi-index Monte Carlo: when sparsity meets sampling; Numerische Mathematik. 2016. Vol. 132, num. 4, p. 767-806. DOI : 10.1007/s00211-015-0734-5.
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. Vol. 4, num. 1, p. 76-112. DOI : 10.1007/s40072-015-0049-7.
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. Vol. 134, num. 2, p. 343-388. DOI : 10.1007/s00211-015-0773-y.

2015

M. Motamed; F. Nobile; R. Tempone : Analysis and Computation of Hyperbolic PDEs with Random Data; Encyclopedia of Applied and Computational Mathematics. 2015. p. 51-58. DOI : 10.1007/978-3-540-70529-1_527.
S. Krumscheid; M. Pradas; G. A. Pavliotis; S. Kalliadasis : Data-driven coarse graining in action: Modeling and prediction of complex systems; Physical Review E. 2015. Vol. 92, num. 4, p. 042139. DOI : 10.1103/PhysRevE.92.042139.
A. Abdulle; S. Deparis; D. Kressner; F. Nobile; M. Picasso : Numerical Mathematics and Advanced Applications - ENUMATH 2013. 2015.
A. Chernov; F. Nobile : Numerical Methods For Uncertainty Quantification; International Journal For Uncertainty Quantification. 2015. Vol. 5, num. 3, p. VII-VIII. DOI : 10.1615/Int.J.UncertaintyQuantification.2015014190.
E. Musharbash; F. Nobile; T. Zhou : Error Analysis of the Dynamically Orthogonal Approximation of Time Dependent Random PDEs; Siam Journal on Scientific Computing. 2015. Vol. 37, num. 2, p. A776-A810. DOI : 10.1137/140967787.
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. Vol. 142, p. 167-182. DOI : 10.1016/j.jmva.2015.08.009.
G. Migliorati; F. Nobile : Analysis of discrete least squares on multivariate polynomial spaces with evaluations at low-discrepancy point sets; Journal of Complexity. 2015. Vol. 31, num. 4, p. 517-542. DOI : 10.1016/j.jco.2015.02.001.
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. Vol. 283, p. 495-517. DOI : 10.1016/j.jcp.2014.11.043.
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. Vol. 3, num. 3, p. 398-444. DOI : 10.1007/s40072-015-0055-9.
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.
G. Migliorati : Multivariate Markov-type and Nikolskii-type inequalities for polynomials associated with downward closed multi-index sets; Journal of Approximation Theory. 2015. Vol. 189, p. 137-159. DOI : 10.1016/j.jat.2014.10.010.
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.
N. Collier; A.-L. Haji-Ali; F. Nobile; E. von Schwerin; R. Tempone : A continuation multilevel Monte Carlo algorithm; BIT Numerical Mathematics. 2015. Vol. 55, num. 2, p. 399-432. DOI : 10.1007/s10543-014-0511-3.
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. Vol. 3, num. 1, p. 393-416. DOI : 10.1137/140968938.
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. Vol. 110, num. 511, p. 1057-1071. DOI : 10.1080/01621459.2014.946036.
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. Vol. 49, num. 3, p. 815-837. DOI : 10.1051/m2an/2014050.
D. N. Arnold; D. Boffi; F. Bonizzoni : Finite element differential forms on curvilinear cubic meshes and their approximation properties; Numerische Mathematik. 2015. Vol. 129, num. 1, p. 1-20. DOI : 10.1007/s00211-014-0631-3.
M. Motamed; F. Nobile; R. Tempone : Analysis and computation of the elastic wave equation with random coefficients; Computers and Mathematics with Applications. 2015. Vol. 70, num. 10, p. 2454-2473. DOI : 10.1016/j.camwa.2015.09.013.

2014

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. Vol. 52, num. 10, p. 813-826. DOI : 10.1007/s11517-014-1183-5.
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. Vol. 30, num. 12, p. 1558-1577. DOI : 10.1002/cnm.2689.
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. Vol. 5, p. 2476-2484. DOI : 10.4236/am.2014.516239.
C. Bayer; H. Hoel; E. Von Schwerin; R. Tempone : On Nonasymptotic Optimal Stopping Criteria In Monte Carlo Simulations; Siam Journal On Scientific Computing. 2014. Vol. 36, num. 2, p. A869-A885. DOI : 10.1137/130911433.
L. Tamellini; O. Le Maitre; A. Nouy : Model reduction based on proper generalized decomposition for the steady incompressible Navier-Stokes equations; Siam Journal on Scientific Computing. 2014. Vol. 36, num. 3, p. A1089-A1117. DOI : 10.1137/120878999.
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. Vol. 2, num. 1, p. 305--335. DOI : 10.1137/130925426.
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. Vol. 14, num. 3, p. 419-456. DOI : 10.1007/s10208-013-9186-4.
F. Bonizzoni; F. Nobile : Perturbation analysis for the Darcy problem with log-normal permeability; SIAM/ASA Journal on Uncertainty Quantification. 2014. Vol. 2, num. 1, p. 223-244. DOI : 10.1137/130949415.
G. Porta; L. Tamellini; V. Lever; M. Riva : Inverse modeling of geochemical and mechanical compaction in sedimentary basins through Polynomial Chaos Expansion; Water Resources Research. 2014. Vol. 50, num. 12, p. 9414-94. DOI : 10.1002/2014WR015838.
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.
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. Vol. 273, p. 598-617. DOI : 10.1016/j.jcp.2014.05.020.
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. Vol. 34, num. 4, p. 1328-1360. DOI : 10.1093/imanum/drt041.
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. Vol. 67, num. 4, p. 732-751. DOI : 10.1016/j.camwa.2013.03.004.

2013

F. Nobile; M. Pozzoli; C. Vergara : Time accurate partitioned algorithms for the solution of fluid-structure interaction problems in haemodynamics; Computers & Fluids. 2013. Vol. 86, p. 470-482. DOI : 10.1016/j.compfluid.2013.07.031.
M. Motamed; F. Nobile; R. Tempone : A stochastic collocation method for the second order wave equation with a discontinuous random speed; Numerische Mathematik. 2013. Vol. 123, num. 3, p. 493-536. DOI : 10.1007/s00211-012-0493-5.
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. Vol. 35, num. 3, p. A1440-A1460. DOI : 10.1137/120897109.

2012

F. Nobile; C. Vergara : Partitioned Algorithms for Fluid-Structure Interaction Problems in Haemodynamics; Milan Journal Of Mathematics. 2012. Vol. 80, num. 2, p. 443-467. DOI : 10.1007/s00032-012-0194-7.
T. Zhou; T. Tang : Convergence Analysis For Spectral Approximation To A Scalar Transport Equation With A Random Wave Speed; Journal Of Computational Mathematics. 2012. Vol. 30, num. 6, p. 643-656. DOI : 10.4208/jcm.1206-m4012.
E. Faou; F. Nobile; C. Vuillot : Sparse spectral approximations for computing polynomial functionals; ...... 2012.
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. Vol. 22, num. 9, p. 1250023.1-1250023.33. DOI : 10.1142/S0218202512500236.
F. Nobile; A. Quarteroni; R. Ruiz-Baier : An active strain electromechanical model for cardiac tissue; International Journal for Numerical Methods in Biomedical Engineering. 2012. Vol. 28, num. 1, p. 52-71. DOI : 10.1002/cnm.1468.

2011

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. Vol. 2, num. 2. DOI : 10.1685/journal.caim.377.
J. Back; F. Nobile; L. Tamellini; R. Tempone : Implementation of optimal Galerkin and Collocation approximations of PDEs with Random Coefficients; ESAIM Proceedings. 2011. Vol. 33, p. 10-21. DOI : 10.1051/proc/201133002.
L. Mirabella; F. Nobile; A. Veneziani : A posteriori error estimator for model adaptivity in electrocardiology; Computer Methods In Applied Mechanics And Engineering. 2011. Vol. 200, num. 37-40, p. 2727-2737. DOI : 10.1016/j.cma.2010.03.009.
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.
D. Ambrosi; G. Arioli; F. Nobile; A. Quarteroni : Electromechanical Coupling In Cardiac Dynamics: The Active Strain Approach; Siam Journal On Applied Mathematics. 2011. Vol. 71, p. 605-621. DOI : 10.1137/100788379.
G. Migliorati; A. Quarteroni : Multilevel Schwarz methods for elliptic partial differential equations; Computer Methods In Applied Mechanics And Engineering. 2011. Vol. 200, p. 2282-2296. DOI : 10.1016/j.cma.2011.03.017.

2010

F. Nobile; I. Babuska; R. Tempone : A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data; Siam Review. 2010. Vol. 52, num. 2, p. 317-355. DOI : 10.1137/100786356.
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. Vol. 48, num. 6, p. 2091-2116. DOI : 10.1137/09076605X.

2009

F. Nobile : Coupling strategies for the numerical simulation of blood flow in deformable arteries by 3D and 1D models; Mathematical and Computer Modelling. 2009. Vol. 49, num. 11-12, p. 2152-2160. DOI : 10.1016/j.mcm.2008.07.019.
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. Vol. 80, num. 6-7, p. 979-1006. DOI : 10.1002/nme.2656.
S. Badia; F. Nobile; C. Vergara : Robin-Robin preconditioned Krylov methods for fluid-structure interaction problems; Computer Methods In Applied Mechanics And Engineering. 2009. Vol. 198, num. 33-36, p. 2768-2784. DOI : 10.1016/j.cma.2009.04.004.
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. Vol. 228, num. 10, p. 3625-3639. DOI : 10.1016/j.jcp.2009.01.034.

2008

S. Badia; F. Nobile; C. Vergara : Fluid-structure partitioned procedures based on Robin transmission conditions; Journal Of Computational Physics. 2008. Vol. 227, num. 14, p. 7027-7051. DOI : 10.1016/j.jcp.2008.04.006.
I. Babuska; F. Nobile; R. Tempone : Formulation of the static frame problem; Computer Methods In Applied Mechanics And Engineering. 2008. Vol. 197, p. 2496-2499. DOI : 10.1016/j.cma.2007.12.010.
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. Vol. 197, num. 29-32, p. 2517-2539. DOI : 10.1016/j.cma.2007.08.031.
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. Vol. 46, num. 5, p. 2411-2442. DOI : 10.1137/070680540.
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. Vol. 46, num. 5, p. 2309-2345. DOI : 10.1137/060663660.
F. Nobile; C. Vergara : An effective fluid-structure interaction formulation for vascular dynamics by generalized Robin conditions; Siam Journal On Scientific Computing. 2008. Vol. 30, num. 2, p. 731-763. DOI : 10.1137/060678439.

2007

I. Babuska; F. Nobile; R. Tempone : Reliability of computational science; Numerical Methods For Partial Differential Equations. 2007. Vol. 23, num. 4, p. 753-784. DOI : 10.1002/num.20263.
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. Vol. 41, num. 4, p. 743-769. DOI : 10.1051/m2an:2007039.
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. Vol. 45, num. 3, p. 1005-1034. DOI : 10.1137/050645142.

2005

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.
F. Nobile; R. Tempone; I. Babuska : Worst case scenario analysis for elliptic problems with uncertainty; Numerische Mathematik. 2005. Vol. 101, p. 185-219. DOI : 10.1007/s00211-005-0601-x.
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. Vol. 194, num. 42-44, p. 4506-4527. DOI : 10.1016/j.cma.2004.12.005.
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. Vol. 194, num. 2-5, p. 195-204. DOI : 10.1016/j.cma.2003.06.003.

2004

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. Vol. 20, num. 2, p. 165-192. DOI : 10.1002/num.10082.
F. Nobile; L. Formaggia : Stability analysis of second-order time accurate schemes for ALE-FEM; Computer Methods In Applied Mechanics And Engineering. 2004. Vol. 193, p. 4097-4116. DOI : 10.1016/j.cma.2003.09.028.

2003

F. Nobile : A posteriori error estimates for the finite element approximation of the Stokes problem; TICAM Report 03-13. 2003.
S. Deparis; M. A. Fernández; L. Formaggia; F. Nobile : Modified fixed point algorithm in fluid–structure interaction; Comptes rendus Mecanique. 2003. Vol. 331, num. 8, p. 525-530. DOI : 10.1016/S1631-0721(03)00119-0.

2002

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. Vol. 40, num. 1, p. 376-401. DOI : 10.1137/S003614290038296X.

2001

L. Formaggia; F. Nobile : Advances on numerical modelling of blood flow problems. 2001. ECCOMAS 2000.
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. Vol. 191, num. 6-7, p. 561-582. DOI : 10.1016/S0045-7825(01)00302-4.

1999

F. Nobile; L. Formaggia : A Stability Analysis for the Arbitrary Lagrangian Eulerian Formulation with Finite Elements; East-West Journal of Numerical Mathematics. 1999. Vol. 7, num. 2, p. 105-132.
A. Veneziani; F. Nobile : Fluid structure interaction in blood flow problems. 1999. GAMM meeting, Bremen, 1998. p. S255-S258.
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.

Publications @ CSQI

2019

D. Pradovera : MATHICSE Technical Report: Interpolatory rational model order reduction of parametric problems lacking uniform inf-sup stability. 2019-05-30.
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.
P. Tsilifis; X. Huan; C. Safta; K. Sargsyan; G. Lacaze et al. : Compressive sensing adaptation for polynomial chaos expansions; Journal Of Computational Physics. 2019-03-01. Vol. 380, p. 29-47. DOI : 10.1016/j.jcp.2018.12.010.
M. C. Martin : Stochastic approximation methods for PDE constrained optimal control problems with uncertain parameters. Lausanne, EPFL, 2019. DOI : 10.5075/epfl-thesis-7233.
M. Pisaroni; F. Nobile; P. Leyland : Continuation Multilevel Monte Carlo Evolutionary Algorithm for Robust Aerodynamic Shape Design; Journal of Aircraft. 2019. Vol. 56, num. 2, p. 771-786. DOI : 10.2514/1.C035054.
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. Vol. 138, p. 50-64. DOI : 10.1016/j.ijengsci.2019.02.003.
E. Arnone; L. Azzimonti; F. Nobile; L. M. Sangalli : Modeling spatially dependent functional data via regression with differential regularization; Journal of Multivariate Analysis. 2019. Vol. 170, p. 175-295. DOI : 10.1016/j.jmva.2018.09.006.

2018

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.
S. Brugiapaglia; S. Micheletti; F. Nobile; S. Perotto : Wavelet-Fourier CORSING techniques for multi-dimensional advection-diffusion-reaction equations. 2018.
G. Migliorati; F. Nobile : Stable high-order randomized cubature formulae in arbitrary dimension; .... 2018.
H. Hoel; K. Karlsen; N. Risebro; E. Storrosten : Path-dependent convex conservation laws; JOURNAL OF DIFFERENTIAL EQUATIONS. 2018. Vol. 265, num. 6, p. 2708-2744. DOI : 10.1016/j.jde.2018.04.045.
M. C. Martin; F. Nobile : PDE-constrained optimal control problems with uncertain parameters using SAGA; .... 2018.
F. Bonizzoni; F. Nobile; I. Perugia; D. Pradovera : Fast Least-Squares Padé approximation of problems with normal operators and meromorphic structure; .... 2018.
F. Bonizzoni; F. Nobile; I. Perugia; D. Pradovera : Least-Squares Padé approximation of parametric and stochastic Helmholtz maps. 2018.
S. Krumscheid : Perturbation-based inference for diffusion processes: Obtaining effective models from multiscale data; Mathematical Models and Methods in Applied Sciences. 2018. Vol. 28, num. 08, p. 1565-1597. DOI : 10.1142/S0218202518500434.
H. A. Hoel; S. Krumscheid : Central limit theorems for multilevel Monte Carlo methods. 2018.
F. Nobile; R. Tempone; S. Wolfers : Sparse approximation of multilinear problems with applications to kernel-based methods in UQ; Numerische Mathematik. 2018. Vol. 139, num. 1, p. 247-280. DOI : 10.1007/s00211-017-0932-4.
D. S. Guignard; F. Nobile : A Posteriori Error Estimation for the Stochastic Collocation Finite Element Method; SIAM Journal on Numerical Analysis. 2018. Vol. 56, num. 5, p. 3121-3143. DOI : 10.1137/17M1155454.
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. Vol. 328, p. 122-146. DOI : 10.1016/j.cma.2017.08.049.
S. Krumscheid; F. Nobile : Multilevel Monte Carlo Approximation of Functions; SIAM/ASA Journal on Uncertainty Quantification. 2018. Vol. 6, num. 3, p. 1256-1293. DOI : 10.1137/17M1135566.
E. Musharbash; F. Nobile : Dual Dynamically Orthogonal approximation of incompressible Navier Stokes equations with random boundary conditions; Journal of Computational Physics. 2018. Vol. 354, p. 135-162. DOI : 10.1016/j.jcp.2017.09.061.
S. Brugiapaglia; F. Nobile; S. Micheletti; S. Perotto : A theoretical study of COmpRessed SolvING for advection-diffusion-reaction problems; Mathematics of Computation. 2018. Vol. 87, p. 1-38. DOI : 10.1090/mcom/3209.

2017

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.
A. L. Haji Ali; F. Nobile; R. Tempone; S. Wolfers : MATHICSE Technical Report : Multilevel weighted least squares polynomial approximation. 2017-09-11.
E. Musharbash; F. Nobile : MATHICSE Technical Report : Symplectic dynamical low rank approximation of wave equations with random parameters. 2017-08-29.
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.
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.
M. Pisaroni : Multi Level Monte Carlo Methods for Uncertainty Quantification and Robust Design Optimization in Aerodynamics. Lausanne, EPFL, 2017. DOI : 10.5075/epfl-thesis-8082.
N. Linde; D. Ginsbourger; J. Irving; F. Nobile; A. Doucet : On uncertainty quantification in hydrogeology and hydrogeophysics; Advances in Water Resources. 2017. Vol. 110, p. 166-181. DOI : 10.1016/j.advwatres.2017.10.014.
T. Hermann; S. Lohle; S. Fasoulas; P. Leyland; L. Marraffa et al. : Influence of Ablation on Vacuum-Ultraviolet Radiation in a Plasma Wind Tunnel Flow; Journal Of Thermophysics And Heat Transfer. 2017. Vol. 31, num. 3, p. 575-585. DOI : 10.2514/1.T4936.
E. Musharbash : Dynamical Low Rank approximation of PDEs with random parameters. Lausanne, EPFL, 2017. DOI : 10.5075/epfl-thesis-7813.
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.
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. Vol. 326, p. 20-50. DOI : 10.1016/j.cma.2017.07.030.
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. Vol. 52, num. 4, p. 1261-1284. DOI : 10.1051/m2an/2017050.
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. Vol. 313, p. 483-511. DOI : 10.1016/j.cma.2016.10.008.
A. Cohen; G. Migliorati; F. Nobile : Discrete least-squares approximations over optimized downward closed polynomial spaces in arbitrary dimension; Constructive Approximation. 2017. Vol. 45, num. 3, p. 497-519. DOI : 10.1007/s00365-017-9364-8.

2016

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.
D. S. Guignard : A posteriori error estimation for partial differential equations with random input data. Lausanne, EPFL, 2016. DOI : 10.5075/epfl-thesis-7260.
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.
A. Chernov; A. Debussche; F. Nobile : Numerical methods for random and stochastic partial differential equations; Stochastics and Partial Differential Equations Analysis and Computations. 2016. Vol. 4, num. 1, p. 1-2. DOI : 10.1007/s40072-016-0073-2.
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.
F. Tesei : Numerical Approximation of Flows in Random Porous Media. Lausanne, EPFL, 2016. DOI : 10.5075/epfl-thesis-6860.
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. Vol. 16, num. 6, p. 1555-1605. DOI : 10.1007/s10208-016-9327-7.
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. Vol. 306, p. 95-122. DOI : 10.1016/j.cma.2016.03.029.
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. Vol. 32, num. 1, p. 175-212. DOI : 10.1002/num.21991.
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. Vol. 308, p. 349-376. DOI : 10.1016/j.cma.2016.05.026.
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. Vol. 71, num. 6, p. 1173-1197. DOI : 10.1016/j.camwa.2016.01.005.
A.-L. Haji-Ali; F. Nobile; R. Tempone : Multi-index Monte Carlo: when sparsity meets sampling; Numerische Mathematik. 2016. Vol. 132, num. 4, p. 767-806. DOI : 10.1007/s00211-015-0734-5.
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. Vol. 4, num. 1, p. 76-112. DOI : 10.1007/s40072-015-0049-7.
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. Vol. 134, num. 2, p. 343-388. DOI : 10.1007/s00211-015-0773-y.

2015

M. Motamed; F. Nobile; R. Tempone : Analysis and Computation of Hyperbolic PDEs with Random Data; Encyclopedia of Applied and Computational Mathematics. 2015. p. 51-58. DOI : 10.1007/978-3-540-70529-1_527.
S. Krumscheid; M. Pradas; G. A. Pavliotis; S. Kalliadasis : Data-driven coarse graining in action: Modeling and prediction of complex systems; Physical Review E. 2015. Vol. 92, num. 4, p. 042139. DOI : 10.1103/PhysRevE.92.042139.
A. Abdulle; S. Deparis; D. Kressner; F. Nobile; M. Picasso : Numerical Mathematics and Advanced Applications - ENUMATH 2013. 2015.
A. Chernov; F. Nobile : Numerical Methods For Uncertainty Quantification; International Journal For Uncertainty Quantification. 2015. Vol. 5, num. 3, p. VII-VIII. DOI : 10.1615/Int.J.UncertaintyQuantification.2015014190.
E. Musharbash; F. Nobile; T. Zhou : Error Analysis of the Dynamically Orthogonal Approximation of Time Dependent Random PDEs; Siam Journal on Scientific Computing. 2015. Vol. 37, num. 2, p. A776-A810. DOI : 10.1137/140967787.
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. Vol. 142, p. 167-182. DOI : 10.1016/j.jmva.2015.08.009.
G. Migliorati; F. Nobile : Analysis of discrete least squares on multivariate polynomial spaces with evaluations at low-discrepancy point sets; Journal of Complexity. 2015. Vol. 31, num. 4, p. 517-542. DOI : 10.1016/j.jco.2015.02.001.
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. Vol. 283, p. 495-517. DOI : 10.1016/j.jcp.2014.11.043.
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. Vol. 3, num. 3, p. 398-444. DOI : 10.1007/s40072-015-0055-9.
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.
G. Migliorati : Multivariate Markov-type and Nikolskii-type inequalities for polynomials associated with downward closed multi-index sets; Journal of Approximation Theory. 2015. Vol. 189, p. 137-159. DOI : 10.1016/j.jat.2014.10.010.
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.
N. Collier; A.-L. Haji-Ali; F. Nobile; E. von Schwerin; R. Tempone : A continuation multilevel Monte Carlo algorithm; BIT Numerical Mathematics. 2015. Vol. 55, num. 2, p. 399-432. DOI : 10.1007/s10543-014-0511-3.
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. Vol. 3, num. 1, p. 393-416. DOI : 10.1137/140968938.
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. Vol. 110, num. 511, p. 1057-1071. DOI : 10.1080/01621459.2014.946036.
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. Vol. 49, num. 3, p. 815-837. DOI : 10.1051/m2an/2014050.
D. N. Arnold; D. Boffi; F. Bonizzoni : Finite element differential forms on curvilinear cubic meshes and their approximation properties; Numerische Mathematik. 2015. Vol. 129, num. 1, p. 1-20. DOI : 10.1007/s00211-014-0631-3.
M. Motamed; F. Nobile; R. Tempone : Analysis and computation of the elastic wave equation with random coefficients; Computers and Mathematics with Applications. 2015. Vol. 70, num. 10, p. 2454-2473. DOI : 10.1016/j.camwa.2015.09.013.

2014

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. Vol. 52, num. 10, p. 813-826. DOI : 10.1007/s11517-014-1183-5.
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. Vol. 30, num. 12, p. 1558-1577. DOI : 10.1002/cnm.2689.
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. Vol. 5, p. 2476-2484. DOI : 10.4236/am.2014.516239.
C. Bayer; H. Hoel; E. Von Schwerin; R. Tempone : On Nonasymptotic Optimal Stopping Criteria In Monte Carlo Simulations; Siam Journal On Scientific Computing. 2014. Vol. 36, num. 2, p. A869-A885. DOI : 10.1137/130911433.
L. Tamellini; O. Le Maitre; A. Nouy : Model reduction based on proper generalized decomposition for the steady incompressible Navier-Stokes equations; Siam Journal on Scientific Computing. 2014. Vol. 36, num. 3, p. A1089-A1117. DOI : 10.1137/120878999.
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. Vol. 2, num. 1, p. 305--335. DOI : 10.1137/130925426.
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. Vol. 14, num. 3, p. 419-456. DOI : 10.1007/s10208-013-9186-4.
F. Bonizzoni; F. Nobile : Perturbation analysis for the Darcy problem with log-normal permeability; SIAM/ASA Journal on Uncertainty Quantification. 2014. Vol. 2, num. 1, p. 223-244. DOI : 10.1137/130949415.
G. Porta; L. Tamellini; V. Lever; M. Riva : Inverse modeling of geochemical and mechanical compaction in sedimentary basins through Polynomial Chaos Expansion; Water Resources Research. 2014. Vol. 50, num. 12, p. 9414-94. DOI : 10.1002/2014WR015838.
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.
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. Vol. 273, p. 598-617. DOI : 10.1016/j.jcp.2014.05.020.
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. Vol. 34, num. 4, p. 1328-1360. DOI : 10.1093/imanum/drt041.
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. Vol. 67, num. 4, p. 732-751. DOI : 10.1016/j.camwa.2013.03.004.

2013

F. Nobile; M. Pozzoli; C. Vergara : Time accurate partitioned algorithms for the solution of fluid-structure interaction problems in haemodynamics; Computers & Fluids. 2013. Vol. 86, p. 470-482. DOI : 10.1016/j.compfluid.2013.07.031.
M. Motamed; F. Nobile; R. Tempone : A stochastic collocation method for the second order wave equation with a discontinuous random speed; Numerische Mathematik. 2013. Vol. 123, num. 3, p. 493-536. DOI : 10.1007/s00211-012-0493-5.
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. Vol. 35, num. 3, p. A1440-A1460. DOI : 10.1137/120897109.

2012

F. Nobile; C. Vergara : Partitioned Algorithms for Fluid-Structure Interaction Problems in Haemodynamics; Milan Journal Of Mathematics. 2012. Vol. 80, num. 2, p. 443-467. DOI : 10.1007/s00032-012-0194-7.
T. Zhou; T. Tang : Convergence Analysis For Spectral Approximation To A Scalar Transport Equation With A Random Wave Speed; Journal Of Computational Mathematics. 2012. Vol. 30, num. 6, p. 643-656. DOI : 10.4208/jcm.1206-m4012.
E. Faou; F. Nobile; C. Vuillot : Sparse spectral approximations for computing polynomial functionals; ...... 2012.
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. Vol. 22, num. 9, p. 1250023.1-1250023.33. DOI : 10.1142/S0218202512500236.
F. Nobile; A. Quarteroni; R. Ruiz-Baier : An active strain electromechanical model for cardiac tissue; International Journal for Numerical Methods in Biomedical Engineering. 2012. Vol. 28, num. 1, p. 52-71. DOI : 10.1002/cnm.1468.

2011

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. Vol. 2, num. 2. DOI : 10.1685/journal.caim.377.
J. Back; F. Nobile; L. Tamellini; R. Tempone : Implementation of optimal Galerkin and Collocation approximations of PDEs with Random Coefficients; ESAIM Proceedings. 2011. Vol. 33, p. 10-21. DOI : 10.1051/proc/201133002.
L. Mirabella; F. Nobile; A. Veneziani : A posteriori error estimator for model adaptivity in electrocardiology; Computer Methods In Applied Mechanics And Engineering. 2011. Vol. 200, num. 37-40, p. 2727-2737. DOI : 10.1016/j.cma.2010.03.009.
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.
D. Ambrosi; G. Arioli; F. Nobile; A. Quarteroni : Electromechanical Coupling In Cardiac Dynamics: The Active Strain Approach; Siam Journal On Applied Mathematics. 2011. Vol. 71, p. 605-621. DOI : 10.1137/100788379.
G. Migliorati; A. Quarteroni : Multilevel Schwarz methods for elliptic partial differential equations; Computer Methods In Applied Mechanics And Engineering. 2011. Vol. 200, p. 2282-2296. DOI : 10.1016/j.cma.2011.03.017.

2010

F. Nobile; I. Babuska; R. Tempone : A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data; Siam Review. 2010. Vol. 52, num. 2, p. 317-355. DOI : 10.1137/100786356.
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. Vol. 48, num. 6, p. 2091-2116. DOI : 10.1137/09076605X.

2009

F. Nobile : Coupling strategies for the numerical simulation of blood flow in deformable arteries by 3D and 1D models; Mathematical and Computer Modelling. 2009. Vol. 49, num. 11-12, p. 2152-2160. DOI : 10.1016/j.mcm.2008.07.019.
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. Vol. 80, num. 6-7, p. 979-1006. DOI : 10.1002/nme.2656.
S. Badia; F. Nobile; C. Vergara : Robin-Robin preconditioned Krylov methods for fluid-structure interaction problems; Computer Methods In Applied Mechanics And Engineering. 2009. Vol. 198, num. 33-36, p. 2768-2784. DOI : 10.1016/j.cma.2009.04.004.
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. Vol. 228, num. 10, p. 3625-3639. DOI : 10.1016/j.jcp.2009.01.034.

2008

S. Badia; F. Nobile; C. Vergara : Fluid-structure partitioned procedures based on Robin transmission conditions; Journal Of Computational Physics. 2008. Vol. 227, num. 14, p. 7027-7051. DOI : 10.1016/j.jcp.2008.04.006.
I. Babuska; F. Nobile; R. Tempone : Formulation of the static frame problem; Computer Methods In Applied Mechanics And Engineering. 2008. Vol. 197, p. 2496-2499. DOI : 10.1016/j.cma.2007.12.010.
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. Vol. 197, num. 29-32, p. 2517-2539. DOI : 10.1016/j.cma.2007.08.031.
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. Vol. 46, num. 5, p. 2411-2442. DOI : 10.1137/070680540.
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. Vol. 46, num. 5, p. 2309-2345. DOI : 10.1137/060663660.
F. Nobile; C. Vergara : An effective fluid-structure interaction formulation for vascular dynamics by generalized Robin conditions; Siam Journal On Scientific Computing. 2008. Vol. 30, num. 2, p. 731-763. DOI : 10.1137/060678439.

2007

I. Babuska; F. Nobile; R. Tempone : Reliability of computational science; Numerical Methods For Partial Differential Equations. 2007. Vol. 23, num. 4, p. 753-784. DOI : 10.1002/num.20263.
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. Vol. 41, num. 4, p. 743-769. DOI : 10.1051/m2an:2007039.
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. Vol. 45, num. 3, p. 1005-1034. DOI : 10.1137/050645142.

2005

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.
F. Nobile; R. Tempone; I. Babuska : Worst case scenario analysis for elliptic problems with uncertainty; Numerische Mathematik. 2005. Vol. 101, p. 185-219. DOI : 10.1007/s00211-005-0601-x.
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. Vol. 194, num. 42-44, p. 4506-4527. DOI : 10.1016/j.cma.2004.12.005.
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. Vol. 194, num. 2-5, p. 195-204. DOI : 10.1016/j.cma.2003.06.003.

2004

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. Vol. 20, num. 2, p. 165-192. DOI : 10.1002/num.10082.
F. Nobile; L. Formaggia : Stability analysis of second-order time accurate schemes for ALE-FEM; Computer Methods In Applied Mechanics And Engineering. 2004. Vol. 193, p. 4097-4116. DOI : 10.1016/j.cma.2003.09.028.

2003

F. Nobile : A posteriori error estimates for the finite element approximation of the Stokes problem; TICAM Report 03-13. 2003.
S. Deparis; M. A. Fernández; L. Formaggia; F. Nobile : Modified fixed point algorithm in fluid–structure interaction; Comptes rendus Mecanique. 2003. Vol. 331, num. 8, p. 525-530. DOI : 10.1016/S1631-0721(03)00119-0.

2002

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. Vol. 40, num. 1, p. 376-401. DOI : 10.1137/S003614290038296X.

2001

L. Formaggia; F. Nobile : Advances on numerical modelling of blood flow problems. 2001. ECCOMAS 2000.
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. Vol. 191, num. 6-7, p. 561-582. DOI : 10.1016/S0045-7825(01)00302-4.

1999

F. Nobile; L. Formaggia : A Stability Analysis for the Arbitrary Lagrangian Eulerian Formulation with Finite Elements; East-West Journal of Numerical Mathematics. 1999. Vol. 7, num. 2, p. 105-132.
A. Veneziani; F. Nobile : Fluid structure interaction in blood flow problems. 1999. GAMM meeting, Bremen, 1998. p. S255-S258.
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.

Research Activities

Research Activities :

Methodologies :

    • methods for uncertainty quantification : Polynomial Chaos expansion ; sparse grids ; least squares ; Monte Carlo and multi-level Monte Carlo ; perturbation methods and sensitivity analysis ;
  • numerical approximation of partial differential equations ; finite element approximations

Applications :

  • Flow and transport in porous media
  • Compressible aerodynamics
  • Fluid structure interaction problems
  • Electromechanical models for heart dynamics
  • Sand dunes evolution

Research Activities

Research Activities :

Methodologies :

  • methods for uncertainty quantification : Polynomial Chaos expansion ; sparse grids ; least squares ; Monte Carlo and multi-level Monte Carlo ; perturbation methods and sensitivity analysis ;
  • numerical approximation of partial differential equations ; finite element approximations

Applications :

  • Flow and transport in porous media
  • Compressible aerodynamics
  • Fluid structure interaction problems
  • Electromechanical models for heart dynamics
  • Sand dunes evolution

Accueil

Bienvenue sur le site de la Chaire CADMOS
Calcul Scientifique et Quantification de l’Incertitude
du Prof. Fabio Nobile

 

The CSQI chair deals with the development of reliable numerical simulations of complex models appearing in physics, engineering and life science applications, such as fluid-structure interaction in hemodynamics, heart electromechanics, flows in porous media, etc. In particular, the research is oriented to the development of advanced techniques for the treatment and quantification of uncertainties which unavoidably affect many of the parameters of a mathematical model, and consequently the quantification of the reliability of numerical simulations outcomes.

 

 

ACTUALITÉS / ÉVÉNEMENTS

 

 

 

 
   
  • New H2020-FETHPC-2017 project ExaQUte « EXAscale Quantification of Uncertainties for TEchnology and science simulation ».
   
 
   
   
   
 
   
  • Eleonora Musharbash has successfully defended her PhD thesis entitled « Dynamical Low Rank approximation of PDEs with random parameters » on July 7, 2017. Congratulations Eleonora.
   
   
   
  • ECCOMAS Award for the best PhD Thesis in 2016 to Dr Diane Guignard (GR-PI & CSQI, EPFL). Dr Diane Guignard, member of the Chair of Scientific Computing and Uncertainty Quantification and the Group Picasso, Institute of Mathematics, EPFL, has been awarded the ECCOMAS Award for for one of the two best PhD Theses in 2016, for her PhD Thesis entitled « A posteriori error estimation for partial differential equations with random input data » (EPFL thesis #7260, 2016). The European Community on Computational Methods in Applied Sciences (ECCOMAS) attributes the award to highlight outstanding achievements of two young persons at the start of their scientific careers; the awards will be handed over at the ECCOMAS Young Investigator Conference – YIC 2017, Milan, Italy, September 13 – 15. Many congratulations to Diane!
   
  • Diane Guignard has successfully defended her PhD thesis entitled « A posteriori error estimation for Partial Differential Equations with random input data » on September 5, 2016. Congratulations Dian
   
  • F. Nobile invited speaker at  7ECM
   

 

Archived News

CSQI

Welcome to the CADMOS Chair of
Scientific Computing and Uncertainty Quantification
held by Prof. Fabio Nobile

 

The CSQI chair deals with the development of reliable numerical simulations of complex models appearing in physics, engineering and life science applications, such as fluid-structure interaction in hemodynamics, heart electromechanics, flows in porous media, etc. In particular, the research is oriented to the development of advanced techniques for the treatment and quantification of uncertainties which unavoidably affect many of the parameters of a mathematical model, and consequently the quantification of the reliability of numerical simulations outcomes.

 

 

NEWS / EVENTS

 

 

 

 
   
  • New H2020-FETHPC-2017 project ExaQUte « EXAscale Quantification of Uncertainties for TEchnology and science simulation ».
   
 
   
   
   
 
   
  • Eleonora Musharbash has successfully defended her PhD thesis entitled « Dynamical Low Rank approximation of PDEs with random parameters » on July 7, 2017. Congratulations Eleonora.
   
   
   
  • ECCOMAS Award for the best PhD Thesis in 2016 to Dr Diane Guignard (GR-PI & CSQI, EPFL). Dr Diane Guignard, member of the Chair of Scientific Computing and Uncertainty Quantification and the Group Picasso, Institute of Mathematics, EPFL, has been awarded the ECCOMAS Award for for one of the two best PhD Theses in 2016, for her PhD Thesis entitled « A posteriori error estimation for partial differential equations with random input data » (EPFL thesis #7260, 2016). The European Community on Computational Methods in Applied Sciences (ECCOMAS) attributes the award to highlight outstanding achievements of two young persons at the start of their scientific careers; the awards will be handed over at the ECCOMAS Young Investigator Conference – YIC 2017, Milan, Italy, September 13 – 15. Many congratulations to Diane!
   
  • Diane Guignard has successfully defended her PhD thesis entitled « A posteriori error estimation for Partial Differential Equations with random input data » on September 5, 2016. Congratulations Dian
   
  • F. Nobile invited speaker at  7ECM
   

 

Archived News