Only Fabio Nobile’s Publications
2024
A Streamline Upwind Petrov-Galerkin Reduced Order Method for Advection-Dominated Partial Differential Equations Under Optimal Control
F. Zoccolan; M. Strazzullo; G. Rozza
Computational Methods In Applied Mathematics. 2024-04-24. DOI : 10.1515/cmam-2023-0171. A Method of Moments Estimator for Interacting Particle Systems and their Mean Field Limit
G. A. Pavliotis; A. Zanoni
Siam-Asa Journal On Uncertainty Quantification. 2024-01-01. Vol. 12, num. 2, p. 262-288. DOI : 10.1137/22M153848X. Network-based kinetic models: Emergence of a statistical description of the graph topology
M. Nurisso; M. Raviola; A. Tosin
European Journal Of Applied Mathematics. 2024-02-02. DOI : 10.1017/S0956792524000020. 2023
Dynamically Orthogonal Approximation for Stochastic Differential Equations
Y. Kazashi; F. Nobile; F. Zoccolan
2023-08-23. p. 32. DOI : 10.48550/arXiv.2308.11581. A new method to interpolate POD reduced bases-Application to the parametric model order reduction of a gas bearings supported rotor
D. Goutaudier; F. Nobile; J. Schiffmann
International Journal For Numerical Methods In Engineering. 2023-06-09. DOI : 10.1002/nme.7305. Density estimation in RKHS with application to Korobov spaces in high dimensions
Y. Kazashi; F. Nobile
Siam Journal On Numerical Analysis. 2023-01-01. Vol. 61, num. 2, p. 1080-1102. DOI : 10.1137/22M147476X. Homogenization results for the generator of multiscale Langevin dynamics in weighted Sobolev spaces
A. Zanoni
Ima Journal Of Applied Mathematics. 2023-02-16. Vol. 88, num. 1, p. 67-101. DOI : 10.1093/imamat/hxad003. Unbiased likelihood-based estimation of Wright-Fisher diffusion processes
2023-03-09. 15th International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing, Linz, Austria, July 17-21, 2022. DOI : 10.48550/arXiv.2303.05390. Analysis of a Class of Multilevel Markov Chain Monte Carlo Algorithms Based on Independent Metropolis–Hastings
J. P. Madrigal Cianci; F. Nobile; R. Tempone
SIAM/ASA Journal on Uncertainty Quantification. 2023. Vol. 11, num. 1, p. 91-138. DOI : 10.1137/21M1420927. Preconditioners for robust optimal control problems under uncertainty
F. Nobile; T. Vanzan
Numerical Linear Algebra with Applications. 2023. Vol. 30, num. 2, p. e2472. DOI : 10.1002/nla.2472. Gradient-based optimisation of the conditional-value-at-risk using the multi-level Monte Carlo method
S. S. Ganesh; F. Nobile
Journal of Computational Physics. 2023-12-15. Vol. 495, num. 112523. DOI : 10.1016/j.jcp.2023.112523. Quantifying uncertain system outputs via the multi-level Monte Carlo method — distribution and robustness measures
Q. Ayoul-Guilmard; S. S. Ganesh; S. Krumscheid; F. Nobile
International Journal for Uncertainty Quantification. 2023. Vol. 13, num. 5, p. 61-98. DOI : 10.1615/Int.J.UncertaintyQuantification.2023045259. On the nonlinear Dirichlet-Neumann method and preconditioner for Newton’s method
F. Chaouqui; M. J. Gander; P. M. Kumbhar; T. Vanzan
2023. 26th International Domain Decomposition Conference (DD26), [Online edition] Honk Kong, China, December 7 – 12, 2020. p. 381–389. DOI : 10.1007/978-3-030-95025-5_40. A numerical algorithm based on probing to find optimized transmission conditions
M. J. Gander; R. Masson; T. Vanzan
2023. 26th International Domain Decomposition Conference (DD26), [Online edition] Honk Kong, China, December 7 – 12, 2020. p. 597–605. DOI : 10.1007/978-3-030-95025-5_65. On the asymptotic optimality of spectral coarse spaces
G. Ciaramella; T. Vanzan
2023. 26th International Domain Decomposition Conference (DD26), [Online edition] Honk Kong, China, December 7 – 12, 2020. p. 187–195. DOI : 10.1007/978-3-030-95025-5_18. 2022
Eigenfunction Martingale Estimators for Interacting Particle Systems and Their Mean Field Limit
G. A. Pavliotis; A. Zanoni
Siam Journal On Applied Dynamical Systems. 2022-01-01. Vol. 21, num. 4, p. 2338-2370. DOI : 10.1137/21M1464348. Uncertainty Quantification by Multilevel Monte Carlo and Local Time-Stepping for Wave Propagation
M. J. Grote; S. Michel; F. Nobile
SIAM/ASA Journal on Uncertainty Quantification. 2022. Vol. 10, num. 4, p. 1601-1628. DOI : 10.1137/21M1429047. Filtered data and eigenfunction estimators for statistical inference of multiscale and interacting diffusion processes
A. Zanoni / F. Nobile; G. A. Pavliotis (Dir.)
Lausanne, EPFL, 2022. Multi-Level Monte Carlo Methods for Uncertainty Quantification and Risk-Averse Optimisation
S. S. Ganesh / F. Nobile (Dir.)
Lausanne, EPFL, 2022. A combination technique for optimal control problems constrained by random PDEs
F. Nobile; T. Vanzan
2022-11-01
Dynamical low rank approximation for uncertainty quantification of time-dependent problems
E. Vidlicková / F. Nobile (Dir.)
Lausanne, EPFL, 2022. Linear and nonlinear substructured Restricted Additive Schwarz iterations and preconditioning
F. Chaouqui; M. J. Gander; P. M. Kumbhar; T. Vanzan
Numerical Algorithms. 2022-04-22. Vol. 91, p. 81–107. DOI : 10.1007/s11075-022-01255-5. Spectral Coarse Spaces for the Substructured Parallel Schwarz Method
G. Ciaramella; T. Vanzan
Journal of Scientific Computing. 2022-04-16. Vol. 91, p. 69. DOI : 10.1007/s10915-022-01840-9. Tensor-Based Numerical Method For Stochastic Homogenization
Q. Ayoul-guilmard; A. Nouy; C. Binetruy
Multiscale Modeling & Simulation. 2022-01-01. Vol. 20, num. 1, p. 36-71. DOI : 10.1137/18M1191221. A technique for non-intrusive greedy piecewise-rational model reduction of frequency response problems over wide frequency bands
D. Pradovera; F. Nobile
Journal of Mathematics in Industry. 2022-01-03. Vol. 12, num. 2. DOI : 10.1186/s13362-021-00117-4. Fast approximation by periodic kernel-based lattice-point interpolation with application in uncertainty quantification
V. Kaarnioja; Y. Kazashi; F. Y. Kuo; F. Nobile; I. H. Sloan
Numerische Mathematik. 2022. Vol. 150, p. 33–77. DOI : 10.1007/s00211-021-01242-3. Substructured Two-grid and Multi-grid Domain Decomposition Methods
G. Ciaramella; T. Vanzan
Numerical Algorithms. 2022-03-13. Vol. 91, p. 413–448. DOI : 10.1007/s11075-022-01268-0. Some first results on the consistency of spatial regression with partial differential equation regularization
E. Arnone; A. Kneip; F. Nobile; L. M. Sangalli
Statistica Sinica. 2022. Vol. 32, num. 1, p. 209-238. DOI : 10.5705/ss.202019.0346. Stable high-order randomized cubature formulae in arbitrary dimension
G. Migliorati; F. Nobile
Journal of Approximation Theory. 2022-03-01. Vol. 275, p. 105706. DOI : 10.1016/j.jat.2022.105706. 2021
A Posteriori Error Estimation for the Stochastic Collocation Finite Element Approximation of the Heat Equation with Random Coefficients
F. Nobile; E. Vidlicková
2021. Sparse Grids and Applications, Munich, 2018. DOI : 10.1007/978-3-030-81362-8_6. Frequency-Domain Non-intrusive Greedy Model Order Reduction Based on Minimal Rational Approximation
D. Pradovera; F. Nobile
2021-01-01. 13th International Conference on Scientific Computing in Electrical Engineering (SCEE), Eindhoven, NETHERLANDS, Feb 16-20, 2020. p. 159-167. DOI : 10.1007/978-3-030-84238-3_16. Stability properties of a projector-splitting scheme for dynamical low rank approximation of random parabolic equations
Y. Kazashi; F. Nobile; E. Vidlickova
Numerische Mathematik. 2021-11-17. Vol. 149, num. 4, p. 973-1024. DOI : 10.1007/s00211-021-01241-4. Model order reduction based on functional rational approximants for parametric PDEs with meromorphic structure
D. Pradovera / F. Nobile (Dir.)
Lausanne, EPFL, 2021. Non-intrusive double-greedy parametric model reduction by interpolation of frequency-domain rational surrogates
F. Nobile; D. Pradovera
ESAIM: Mathematical Modelling and Numerical Analysis. 2021-09-17. Vol. 55, num. 5, p. 1895-1920. DOI : 10.1051/m2an/2021040. Complexity analysis of stochastic gradient methods for PDE-constrained optimal control problems with uncertain parameters
M. Martin; S. Krumscheid; F. Nobile
ESAIM: Mathematical Modelling and Numerical Analysis. 2021-08-03. Vol. 55, num. 4, p. 1599-1633. DOI : 10.1051/m2an/2021025. Function Integration, Reconstruction And Approximation Using Rank-1 Lattices
F. Y. Kuo; G. Migliorati; F. Nobile; D. Nuyens
Mathematics Of Computation. 2021-07-01. Vol. 90, num. 330, p. 1861-1897. DOI : 10.1090/mcom/3595. A hybrid collocation-perturbation approach for PDEs with random domains
J. E. Castrillon-Candas; F. Nobile; R. F. Tempone
Advances In Computational Mathematics. 2021-06-01. Vol. 47, num. 3, p. 40. DOI : 10.1007/s10444-021-09859-6. Shape optimization for a noise reduction problem by non-intrusive parametric reduced modeling
F. Bonizzoni; D. Pradovera
2021-03-11. 14th WCCM-ECCOMAS Congress, Virtual Congress, January 11-15, 2021. DOI : 10.23967/wccm-eccomas.2020.300. Existence of dynamical low rank approximations for random semi-linear evolutionary equations on the maximal interval
Y. Kazashi; F. Nobile
Stochastics And Partial Differential Equations-Analysis And Computations. 2021. Vol. 9, p. 603–629. DOI : 10.1007/s40072-020-00177-4. Wavelet-Fourier CORSING techniques for multidimensional advection-diffusion-reaction equations
S. Brugiapaglia; S. Micheletti; F. Nobile; S. Perotto
IMA Journal of Numerical Analysis. 2021. Vol. 41, p. 2744 – 2781. DOI : 10.1093/imanum/draa036. PDE-Constrained Optimal Control Problems with Uncertain Parameters using SAGA
M. C. Martin; F. Nobile
SIAM/ASA Journal on Uncertainty Quantification. 2021. Vol. 9, num. 3, p. 979-1012. DOI : 10.1137/18M1224076. 2020
Integration of activation maps of epicardial veins in computational cardiac electrophysiology
S. Stella; C. Vergara; M. Maines; D. Catanzariti; P. C. Africa et al.
Computers In Biology And Medicine. 2020-12-01. Vol. 127, p. 104047. DOI : 10.1016/j.compbiomed.2020.104047. Regularity and sparse approximation of the recursive first moment equations for the lognormal Darcy problem
F. Bonizzoni; F. Nobile
Computers & Mathematics with Applications. 2020. Vol. 80, num. 12, p. 2925-2947. DOI : 10.1016/j.camwa.2020.10.014. Interpolatory Rational Model Order Reduction of Parametric Problems Lacking Uniform Inf-Sup Stability
D. Pradovera
SIAM Journal on Numerical Analysis. 2020-08-12. Vol. 58, num. 4, p. 2265-2293. DOI : 10.1137/19M1269695. Sparse Polynomial Chaos expansions using variational relevance vector machines
P. Tsilifis; I. Papaioannou; D. Straub; F. Nobile
Journal of Computational Physics. 2020. Vol. 416, p. 109498. DOI : 10.1016/j.jcp.2020.109498. Quantifying uncertain system outputs via the multilevel Monte Carlo method — Part I: Central moment estimation
S. Krumscheid; F. Nobile; M. Pisaroni
Journal of Computational Physics. 2020. Vol. 414, p. 109466. DOI : 10.1016/j.jcp.2020.109466. Symplectic dynamical low rank approximation of wave equations with random parameters
E. Musharbash; F. Nobile; E. Vidlicková
BIT Numerical Mathematics. 2020. Vol. 60, p. 1153-1201. DOI : 10.1007/s10543-020-00811-6. Numerical methods for conservation laws with rough flux
H. Hoel; K. H. Karlsen; N. H. Risebro; E. B. Storrosten
Stochastics And Partial Differential Equations-Analysis And Computations. 2020-03-01. Vol. 8, num. 1, p. 186-261. DOI : 10.1007/s40072-019-00145-7. Frequency-domain non-intrusive greedy Model Order Reduction based on minimal rational approximation
D. Pradovera; F. Nobile
13th International Conference on Scientific Computing in Electrical Engineering, Eindhoven, Netherlands, February 16-20, 2020. Multilevel weighted least squares polynomial approximation
A-L. Haji-Ali; F. Nobile; S. Wolfers; R. Tempone
ESAIM: Mathematical Modelling and Numerical Analysis. 2020. Vol. 54, p. 649-677. DOI : 10.1051/m2an/2019045. MATHICSE Technical Report : A Multilevel Stochastic Gradient method for PDE-constrained Optimal Control Problems with uncertain parameters
M. C. Martin; F. Nobile; P. Tsilifis
2020-01-09
Fast Least-Squares Padé approximation of problems with normal operators and meromorphic structure
F. Bonizzoni; F. Nobile; I. Perugia; D. Pradovera
Mathematics of Computation. 2020. Vol. 89, num. 323, p. 1229-1257. DOI : 10.1090/mcom/3511. Least-Squares Padé approximation of parametric and stochastic Helmholtz maps
F. Bonizzoni; F. Nobile; I. Perugia; D. Pradovera
Advances in Computational Mathematics. 2020. Vol. 46, num. 3, p. 46. DOI : 10.1007/s10444-020-09749-3. 2019
Distributed sampling for rational approximation of the acoustic scattering of an airfoil
F. Bonizzoni; D. Pradovera
2019-11-18. 90th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Vienna, Austria, Feb 18-22, 2019. DOI : 10.1002/pamm.201900422. Central limit theorems for multilevel Monte Carlo methods
H. Hoel; S. Krumscheid
Journal Of Complexity. 2019-10-01. Vol. 54, p. 101407. DOI : 10.1016/j.jco.2019.05.001. Stochastic approximation methods for PDE constrained optimal control problems with uncertain parameters
M. C. Martin / F. Nobile (Dir.)
Lausanne, EPFL, 2019. Continuation Multilevel Monte Carlo Evolutionary Algorithm for Robust Aerodynamic Shape Design
M. Pisaroni; F. Nobile; P. Leyland
Journal of Aircraft. 2019. Vol. 56, num. 2, p. 771-786. DOI : 10.2514/1.C035054. Quantifying uncertainties in contact mechanics of rough surfaces using the multilevel Monte Carlo method
V. Rey; S. Krumscheid; F. Nobile
International Journal of Engineering Science. 2019. Vol. 138, p. 50-64. DOI : 10.1016/j.ijengsci.2019.02.003. Modeling spatially dependent functional data via regression with differential regularization
E. Arnone; L. Azzimonti; F. Nobile; L. M. Sangalli
Journal of Multivariate Analysis. 2019. Vol. 170, p. 175-295. DOI : 10.1016/j.jmva.2018.09.006. 2018
Bayesian adaptation of chaos representations using variational inference and sampling on geodesics
P. Tsilifis; R. G. Ghanem
Proceedings Of The Royal Society A-Mathematical Physical And Engineering Sciences. 2018-09-01. Vol. 474, num. 2217, p. 20180285. DOI : 10.1098/rspa.2018.0285. Perturbation-based inference for diffusion processes: Obtaining effective models from multiscale data
S. Krumscheid
Mathematical Models and Methods in Applied Sciences. 2018. Vol. 28, num. 08, p. 1565-1597. DOI : 10.1142/S0218202518500434. Sparse approximation of multilinear problems with applications to kernel-based methods in UQ
F. Nobile; R. Tempone; S. Wolfers
Numerische Mathematik. 2018. Vol. 139, num. 1, p. 247-280. DOI : 10.1007/s00211-017-0932-4. A Posteriori Error Estimation for the Stochastic Collocation Finite Element Method
D. S. Guignard; F. Nobile
SIAM Journal on Numerical Analysis. 2018. Vol. 56, num. 5, p. 3121-3143. DOI : 10.1137/17M1155454. Uncertainty Quantification of geochemical and mechanical compaction in layered sedimentary basins
I. Colombo; F. Nobile; G. Porta; A. Scotti; L. Tamellini
Computer Methods in Applied Mechanics and Engineering. 2018. Vol. 328, p. 122-146. DOI : 10.1016/j.cma.2017.08.049. Multilevel Monte Carlo Approximation of Functions
S. Krumscheid; F. Nobile
SIAM/ASA Journal on Uncertainty Quantification. 2018. Vol. 6, num. 3, p. 1256-1293. DOI : 10.1137/17M1135566. Dual Dynamically Orthogonal approximation of incompressible Navier Stokes equations with random boundary conditions
E. Musharbash; F. Nobile
Journal of Computational Physics. 2018. Vol. 354, p. 135-162. DOI : 10.1016/j.jcp.2017.09.061. Convergence analysis of Padé approximations for Helmholtz frequency response problems
F. Bonizzoni; F. Nobile; I. Perugia
ESAIM: Mathematical Modelling and Numerical Analysis. 2018. Vol. 52, num. 4, p. 1261-1284. DOI : 10.1051/m2an/2017050. 2017
Multi Level Monte Carlo Methods for Uncertainty Quantification and Robust Design Optimization in Aerodynamics
M. Pisaroni / P. Leyland; F. Nobile (Dir.)
Lausanne, EPFL, 2017. Dynamical Low Rank approximation of PDEs with random parameters
E. Musharbash / F. Nobile (Dir.)
Lausanne, EPFL, 2017. A Multilevel Monte Carlo Evolutionary Algorithm for Robust Aerodynamic Shape Design
M. Pisaroni; F. Nobile; P. Leyland
2017. 18th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, Denver, Colorado, USA, 5-9 June 2017. DOI : 10.2514/6.2017-3329. MATHICSE Technical Report : Continuation Multi-Level Monte-Carlo method for Uncertainty Quantification in Turbulent Compressible Aerodynamics Problems modeled by RANS
M. Pisaroni; F. Nobile; P. Leyland
2017-05-11
A Continuation Multi Level Monte Carlo (C-MLMC) method for uncertainty quantification in compressible inviscid aerodynamics
M. Pisaroni; F. Nobile; P. Leyland
Computer Methods in Applied Mechanics and Engineering. 2017. Vol. 326, p. 20-50. DOI : 10.1016/j.cma.2017.07.030. A posteriori error estimation for the steady Navier-Stokes equations in random domains
D. S. Guignard; F. Nobile; M. Picasso
Computer Methods in Applied Mechanics and Engineering. 2017. Vol. 313, p. 483-511. DOI : 10.1016/j.cma.2016.10.008. Discrete least-squares approximations over optimized downward closed polynomial spaces in arbitrary dimension
A. Cohen; G. Migliorati; F. Nobile
Constructive Approximation. 2017. Vol. 45, num. 3, p. 497-519. DOI : 10.1007/s00365-017-9364-8. 2016
A Multi Level Monte Carlo Algorithm for the Treatment of Geometrical and Operational Uncertainties in Internal and External Aerodynamics
M. Pisaroni; P. Leyland; F. Nobile
2016. AIAA Aviation – 46th AIAA Fluid Dynamics Conference, Washington, D.C, 13-17 June 2016. p. 4398. DOI : 10.2514/6.2016-4398. Numerical methods for random and stochastic partial differential equations
A. Chernov; A. Debussche; F. Nobile
Stochastics and Partial Differential Equations Analysis and Computations. 2016. Vol. 4, num. 1, p. 1-2. DOI : 10.1007/s40072-016-0073-2. An Adaptive Sparse Grid Algorithm for Elliptic PDEs with Lognormal Diffusion Coefficient
F. Nobile; L. Tamellini; F. Tesei; R. Tempone
Sparse Grids and Applications – Stuttgart 2014; Berlin: Springer, 2016. p. 191-220. Numerical Approximation of Flows in Random Porous Media
F. Tesei / F. Nobile (Dir.)
Lausanne, EPFL, 2016. Multi-index stochastic collocation convergence rates for random PDEs with parametric regularity
A-L. Haji-Ali; F. Nobile; L. Tamellini; R. Tempone
Foundations of Computational Mathematics. 2016. Vol. 16, num. 6, p. 1555-1605. DOI : 10.1007/s10208-016-9327-7. A posteriori error estimations for elliptic partial differential equations with small uncertainties
D. S. Guignard; F. Nobile; M. Picasso
Numerical Methods for Partial Differential Equations. 2016. Vol. 32, num. 1, p. 175-212. DOI : 10.1002/num.21991. Tensor train approximation of moment equations for elliptic equations with lognormal coefficient
F. Bonizzoni; F. Nobile; D. Kressner
Computer Methods in Applied Mechanics and Engineering. 2016. Vol. 308, p. 349-376. DOI : 10.1016/j.cma.2016.05.026. Analytic regularity and collocation approximation for elliptic PDEs with Random domain deformations
J. E. Castrillón-Candás; F. Nobile; R. Tempone
Computers and Mathematics with Applications. 2016. Vol. 71, num. 6, p. 1173-1197. DOI : 10.1016/j.camwa.2016.01.005. Multi-index Monte Carlo: when sparsity meets sampling
A-L. Haji-Ali; F. Nobile; R. Tempone
Numerische Mathematik. 2016. Vol. 132, num. 4, p. 767-806. DOI : 10.1007/s00211-015-0734-5. Optimization of mesh hierarchies in multilevel Monte Carlo samplers
A-L. Haji-Ali; F. Nobile; E. von Schwerin; R. Tempone
Stochastic Partial Differential Equations: Analysis and Computations. 2016. Vol. 4, num. 1, p. 76-112. DOI : 10.1007/s40072-015-0049-7. Convergence of quasi-optimal sparse-grid approximation of Hilbert-space-valued functions: application to random elliptic PDEs
F. Nobile; L. Tamellini; R. Tempone
Numerische Mathematik. 2016. Vol. 134, num. 2, p. 343-388. DOI : 10.1007/s00211-015-0773-y. 2015
Analysis and Computation of Hyperbolic PDEs with Random Data
M. Motamed; F. Nobile; R. Tempone
Encyclopedia of Applied and Computational Mathematics. 2015. p. 51-58. DOI : 10.1007/978-3-540-70529-1_527. Numerical Methods For Uncertainty Quantification
A. Chernov; F. Nobile
International Journal For Uncertainty Quantification. 2015. Vol. 5, num. 3, p. VII-VIII. DOI : 10.1615/Int.J.UncertaintyQuantification.2015014190. Error Analysis of the Dynamically Orthogonal Approximation of Time Dependent Random PDEs
E. Musharbash; F. Nobile; T. Zhou
Siam Journal on Scientific Computing. 2015. Vol. 37, num. 2, p. A776-A810. DOI : 10.1137/140967787. Convergence estimates in probability and in expectation for discrete least squares with noisy evaluations at random points
G. Migliorati; F. Nobile; R. Tempone
Journal of Multivariate Analysis. 2015. Vol. 142, p. 167-182. DOI : 10.1016/j.jmva.2015.08.009. Analysis of discrete least squares on multivariate polynomial spaces with evaluations at low-discrepancy point sets
G. Migliorati; F. Nobile
Journal of Complexity. 2015. Vol. 31, num. 4, p. 517-542. DOI : 10.1016/j.jco.2015.02.001. An effective algorithm for the generation of patient-specific Purkinje networks in computational electrocardiology
S. Palamara; C. Vergara; E. Faggiano; F. Nobile
Journal Of Computational Physics. 2015. Vol. 283, p. 495-517. DOI : 10.1016/j.jcp.2014.11.043. A Multi Level Monte Carlo Method with Control Variate for elliptic PDEs with log-normal coefficients
F. Tesei; F. Nobile
Stochastic Partial Differential Equations: Analysis and Computations. 2015. Vol. 3, num. 3, p. 398-444. DOI : 10.1007/s40072-015-0055-9. Adaptive polynomial approximation by means of random discrete least squares
G. Migliorati
2015. ENUMATH 2013, Lausanne, August 26-30, 2013. p. 547-554. DOI : 10.1007/978-3-319-10705-9_54. Multivariate Markov-type and Nikolskii-type inequalities for polynomials associated with downward closed multi-index sets
G. Migliorati
Journal of Approximation Theory. 2015. Vol. 189, p. 137-159. DOI : 10.1016/j.jat.2014.10.010. Comparison of Clenshaw-Curtis and Leja Quasi-Optimal Sparse Grids for the Approximation of Random PDEs
F. Nobile; L. Tamellini; R. Tempone
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. Low-rank tensor approximation for high-order correlation functions of Gaussian random fields
D. Kressner; R. Kumar; F. Nobile; C. Tobler
SIAM/ASA Journal of Uncertainty Quantification. 2015. Vol. 3, num. 1, p. 393-416. DOI : 10.1137/140968938. Discrete least squares polynomial approximation with random evaluations − application to parametric and stochastic elliptic PDEs
A. Chkifa; A. Cohen; G. Migliorati; F. Nobile; R. Tempone
ESAIM: Mathematical Modelling and Numerical Analysis. 2015. Vol. 49, num. 3, p. 815-837. DOI : 10.1051/m2an/2014050. Finite element differential forms on curvilinear cubic meshes and their approximation properties
D. N. Arnold; D. Boffi; F. Bonizzoni
Numerische Mathematik. 2015. Vol. 129, num. 1, p. 1-20. DOI : 10.1007/s00211-014-0631-3. Analysis and computation of the elastic wave equation with random coefficients
M. Motamed; F. Nobile; R. Tempone
Computers and Mathematics with Applications. 2015. Vol. 70, num. 10, p. 2454-2473. DOI : 10.1016/j.camwa.2015.09.013. 2014
Implementation and analysis of an adaptive multilevel Monte Carlo algorithm
H. Hoel; E. Von Schwerin; A. Szepessy; R. Tempone
Monte Carlo Methods and Applications. 2014. Vol. 20, num. 1, p. 1-41. DOI : 10.1515/mcma-2013-0014. Patient-specific generation of the Purkinje network driven by clinical measurements of a normal propagation
C. Vergara; S. Palamara; D. Catanzariti; F. Nobile; E. Faggiano et al.
Medical & Biological Engineering & Computing. 2014. Vol. 52, num. 10, p. 813-826. DOI : 10.1007/s11517-014-1183-5. Computational generation of the Purkinje network driven by clinical measurements: The case of pathological propagations
S. Palamara; C. Vergara; D. Catanzariti; E. Faggiano; C. Pangrazzi et al.
International Journal for Numerical Methods in Biomedical Engineering. 2014. Vol. 30, num. 12, p. 1558-1577. DOI : 10.1002/cnm.2689. On the Connection between the Hamilton-Jacobi-Bellman and the Fokker-Planck Control Frameworks
M. Annunziato; A. Borzì; F. Nobile; R. Tempone
Applied Mathematics. 2014. Vol. 5, p. 2476-2484. DOI : 10.4236/am.2014.516239. On Nonasymptotic Optimal Stopping Criteria In Monte Carlo Simulations
C. Bayer; H. Hoel; E. Von Schwerin; R. Tempone
Siam Journal On Scientific Computing. 2014. Vol. 36, num. 2, p. A869-A885. DOI : 10.1137/130911433. Model reduction based on proper generalized decomposition for the steady incompressible Navier-Stokes equations
L. Tamellini; O. Le Maitre; A. Nouy
Siam Journal on Scientific Computing. 2014. Vol. 36, num. 3, p. A1089-A1117. DOI : 10.1137/120878999. Mixed Finite Elements for spatial regression with PDE penalization
L. Azzimonti; F. Nobile; L. M. Sangalli; P. Secchi
SIAM/ASA Journal on Uncertainty Quantification. 2014. Vol. 2, num. 1, p. 305–335. DOI : 10.1137/130925426. Analysis of Discrete L2 Projection on Polynomial Spaces with Random Evaluations
G. Migliorati; F. Nobile; E. von Schwerin; R. Tempone
Foundations of Computational Mathematics. 2014. Vol. 14, num. 3, p. 419-456. DOI : 10.1007/s10208-013-9186-4. Perturbation analysis for the Darcy problem with log-normal permeability
F. Bonizzoni; F. Nobile
SIAM/ASA Journal on Uncertainty Quantification. 2014. Vol. 2, num. 1, p. 223-244. DOI : 10.1137/130949415. Inverse modeling of geochemical and mechanical compaction in sedimentary basins through Polynomial Chaos Expansion
G. Porta; L. Tamellini; V. Lever; M. Riva
Water Resources Research. 2014. Vol. 50, num. 12, p. 9414-94. DOI : 10.1002/2014WR015838. A quasi-optimal sparse grids procedure for groundwater flows
J. Beck; F. Nobile; L. Tamellini; R. Tempone
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. Inexact accurate partitioned algorithms for fluid-structure interaction problems with finite elasticity in haemodynamics
F. Nobile; M. Pozzoli; C. Vergara
Journal of Computational Physics. 2014. Vol. 273, p. 598-617. DOI : 10.1016/j.jcp.2014.05.020. Moment equations for the mixed formulation of the Hodge Laplacian with stochastic loading term
F. Bonizzoni; A. Buffa; F. Nobile
IMA Journal of Numerical Analysis. 2014. Vol. 34, num. 4, p. 1328-1360. DOI : 10.1093/imanum/drt041. Convergence of quasi-optimal Stochastic Galerkin methods for a class of PDES with random coefficients
J. Beck; F. Nobile; L. Tamellini; R. Tempone
Computers and Mathematics with Applications. 2014. Vol. 67, num. 4, p. 732-751. DOI : 10.1016/j.camwa.2013.03.004. 2013
Time accurate partitioned algorithms for the solution of fluid-structure interaction problems in haemodynamics
F. Nobile; M. Pozzoli; C. Vergara
Computers & Fluids. 2013. Vol. 86, p. 470-482. DOI : 10.1016/j.compfluid.2013.07.031. A stochastic collocation method for the second order wave equation with a discontinuous random speed
M. Motamed; F. Nobile; R. Tempone
Numerische Mathematik. 2013. Vol. 123, num. 3, p. 493-536. DOI : 10.1007/s00211-012-0493-5. Approximation of Quantities of Interest in Stochastic PDEs by the Random Discrete $L^2$ Projection on Polynomial Spaces
G. Migliorati; F. Nobile; E. Von Schwerin; R. Tempone
SIAM Journal on Scientific Computing. 2013. Vol. 35, num. 3, p. A1440-A1460. DOI : 10.1137/120897109. 2012
Partitioned Algorithms for Fluid-Structure Interaction Problems in Haemodynamics
F. Nobile; C. Vergara
Milan Journal Of Mathematics. 2012. Vol. 80, num. 2, p. 443-467. DOI : 10.1007/s00032-012-0194-7. Convergence Analysis For Spectral Approximation To A Scalar Transport Equation With A Random Wave Speed
T. Zhou; T. Tang
Journal Of Computational Mathematics. 2012. Vol. 30, num. 6, p. 643-656. DOI : 10.4208/jcm.1206-m4012. On the optimal polynomial approximation of stochastic PDEs by Galerkin and Collocation methods
J. Beck; F. Nobile; L. Tamellini; R. Tempone
Mathematical Models and Methods in Applied Sciences (M3AS). 2012. Vol. 22, num. 9, p. 1250023.1-1250023.33. DOI : 10.1142/S0218202512500236. An active strain electromechanical model for cardiac tissue
F. Nobile; A. Quarteroni; R. Ruiz-Baier
International Journal for Numerical Methods in Biomedical Engineering. 2012. Vol. 28, num. 1, p. 52-71. DOI : 10.1002/cnm.1468. 2011
Mathematical modelling for the evolution of aeolian dunes formed by a mixture of sands: entrainment-deposition formulation
M. Pischiutta; L. Formaggia; F. Nobile
Communications in Applied and Industrial Mathematics. 2011. Vol. 2, num. 2. DOI : 10.1685/journal.caim.377. Implementation of optimal Galerkin and Collocation approximations of PDEs with Random Coefficients
J. Back; F. Nobile; L. Tamellini; R. Tempone
ESAIM Proceedings. 2011. Vol. 33, p. 10-21. DOI : 10.1051/proc/201133002. A posteriori error estimator for model adaptivity in electrocardiology
L. Mirabella; F. Nobile; A. Veneziani
Computer Methods In Applied Mechanics And Engineering. 2011. Vol. 200, num. 37-40, p. 2727-2737. DOI : 10.1016/j.cma.2010.03.009. Stochastic spectral Galerkin and collocation methods for PDEs with random coefficients: a numerical comparison
F. Nobile; J. Back; L. Tamellini; R. Tempone
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. Electromechanical Coupling In Cardiac Dynamics: The Active Strain Approach
D. Ambrosi; G. Arioli; F. Nobile; A. Quarteroni
Siam Journal On Applied Mathematics. 2011. Vol. 71, p. 605-621. DOI : 10.1137/100788379. Multilevel Schwarz methods for elliptic partial differential equations
G. Migliorati; A. Quarteroni
Computer Methods In Applied Mechanics And Engineering. 2011. Vol. 200, p. 2282-2296. DOI : 10.1016/j.cma.2011.03.017. 2010
A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data
F. Nobile; I. Babuska; R. Tempone
Siam Review. 2010. Vol. 52, num. 2, p. 317-355. DOI : 10.1137/100786356. Analysis And Optimization Of Robin-Robin Partitioned Procedures In Fluid-Structure Interaction Problems
L. Gerardo-Giorda; F. Nobile; C. Vergara
Siam Journal On Numerical Analysis. 2010. Vol. 48, num. 6, p. 2091-2116. DOI : 10.1137/09076605X. 2009
Coupling strategies for the numerical simulation of blood flow in deformable arteries by 3D and 1D models
F. Nobile
Mathematical and Computer Modelling. 2009. Vol. 49, num. 11-12, p. 2152-2160. DOI : 10.1016/j.mcm.2008.07.019. Analysis and implementation issues for the numerical approximation of parabolic equations with random coefficients
F. Nobile; R. Tempone
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING. 2009. Vol. 80, num. 6-7, p. 979-1006. DOI : 10.1002/nme.2656. Robin-Robin preconditioned Krylov methods for fluid-structure interaction problems
S. Badia; F. Nobile; C. Vergara
Computer Methods In Applied Mechanics And Engineering. 2009. Vol. 198, num. 33-36, p. 2768-2784. DOI : 10.1016/j.cma.2009.04.004. 2008
Fluid-structure partitioned procedures based on Robin transmission conditions
S. Badia; F. Nobile; C. Vergara
Journal Of Computational Physics. 2008. Vol. 227, num. 14, p. 7027-7051. DOI : 10.1016/j.jcp.2008.04.006. Formulation of the static frame problem
I. Babuska; F. Nobile; R. Tempone
Computer Methods In Applied Mechanics And Engineering. 2008. Vol. 197, p. 2496-2499. DOI : 10.1016/j.cma.2007.12.010. A systematic approach to model validation based on Bayesian updates and prediction related rejection criteria
I. Babuška; F. Nobile; R. Tempone
Computer Methods in Applied Mechanics and Engineering. 2008. Vol. 197, num. 29-32, p. 2517-2539. DOI : 10.1016/j.cma.2007.08.031. An anisotropic sparse grid stochastic collocation method for partial differential equations with random input data
F. Nobile; R. Tempone; C. G. Webster
Siam Journal On Numerical Analysis. 2008. Vol. 46, num. 5, p. 2411-2442. DOI : 10.1137/070680540. A sparse grid stochastic collocation method for partial differential equations with random input data
F. Nobile; R. Tempone; C. G. Webster
Siam Journal On Numerical Analysis. 2008. Vol. 46, num. 5, p. 2309-2345. DOI : 10.1137/060663660. An effective fluid-structure interaction formulation for vascular dynamics by generalized Robin conditions
F. Nobile; C. Vergara
Siam Journal On Scientific Computing. 2008. Vol. 30, num. 2, p. 731-763. DOI : 10.1137/060678439. 2007
Reliability of computational science
I. Babuska; F. Nobile; R. Tempone
Numerical Methods For Partial Differential Equations. 2007. Vol. 23, num. 4, p. 753-784. DOI : 10.1002/num.20263. On the stability of the coupling of 3d and 1d fluid-structure interaction models for blood flow simulations
L. Formaggia; A. Moura; F. Nobile
Esaim-Mathematical Modelling And Numerical Analysis-Modelisation Mathematique Et Analyse Numerique. 2007. Vol. 41, num. 4, p. 743-769. DOI : 10.1051/m2an:2007039. A stochastic collocation method for elliptic partial differential equations with random input data
I. Babuska; F. Nobile; R. Tempone
Siam Journal On Numerical Analysis. 2007. Vol. 45, num. 3, p. 1005-1034. DOI : 10.1137/050645142. 2005
Worst-case scenario analysis for elliptic PDEs with uncertainty
I. Babuska; F. Nobile; R. Tempone
2005. EURODYN, Paris, September 4-7, 2005. p. 889-894. Worst case scenario analysis for elliptic problems with uncertainty
F. Nobile; R. Tempone; I. Babuska
Numerische Mathematik. 2005. Vol. 101, p. 185-219. DOI : 10.1007/s00211-005-0601-x. Added-mass effect in the design of partitioned algorithms for fluid-structure problems
J. F. Gerbeau; F. Nobile; P. Causin
Computer Methods In Applied Mechanics And Engineering. 2005. Vol. 194, num. 42-44, p. 4506-4527. DOI : 10.1016/j.cma.2004.12.005. Theory and methodology for estimation and control of errors due to modeling, approximation, and uncertainty
I. Babuska; F. Nobile; Y. S. Feng; R. Tempone; J. T. Oden
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
Analysis of a subdomain-based error estimator for finite element approximations of elliptic problems
S. Prudhomme; F. Nobile; L. Chamoin; J. T. Oden
Numerical Methods for Partial Differential Equations. 2004. Vol. 20, num. 2, p. 165-192. DOI : 10.1002/num.10082. Stability analysis of second-order time accurate schemes for ALE-FEM
F. Nobile; L. Formaggia
Computer Methods In Applied Mechanics And Engineering. 2004. Vol. 193, p. 4097-4116. DOI : 10.1016/j.cma.2003.09.028. 2003
A posteriori error estimates for the finite element approximation of the Stokes problem
F. Nobile
TICAM Report 03-13. 2003. 2002
Numerical treatment of defective boundary conditions for the Navier-Stokes equations
L. Formaggia; J. F. Gerbeau; F. Nobile; A. Quarteroni
SIAM Journal on Numerical Analysis. 2002. Vol. 40, num. 1, p. 376-401. DOI : 10.1137/S003614290038296X. 2001
On the coupling of 3D and 1D Navier-Stokes equations for flow problems in compliant vessels
L. Formaggia; J. F. Gerbeau; F. Nobile; A. Quarteroni
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
A Stability Analysis for the Arbitrary Lagrangian Eulerian Formulation with Finite Elements
F. Nobile; L. Formaggia
East-West Journal of Numerical Mathematics. 1999. Vol. 7, num. 2, p. 105-132. Fluid structure interaction in blood flow problems
A. Veneziani; F. Nobile
1999. GAMM meeting, Bremen, 1998. p. S255-S258. DOI : 10.1002/zamm.19990791367.
