Stochastic spectral Galerkin and collocation methods for PDEs with random coefficients: a numerical comparison J Bäck, F Nobile, L Tamellini, R Tempone Spectral and High Order Methods for Partial Differential Equations: Selected …, 2011 | 274 | 2011 |
On the optimal polynomial approximation of stochastic PDEs by Galerkin and collocation methods J Beck, R Tempone, F Nobile, L Tamellini Mathematical Models and Methods in Applied Sciences 22 (09), 1250023, 2012 | 179 | 2012 |
Global sensitivity analysis through polynomial chaos expansion of a basin-scale geochemical compaction model L Formaggia, A Guadagnini, I Imperiali, V Lever, G Porta, M Riva, A Scotti, ... Computational Geosciences 17, 25-42, 2013 | 101 | 2013 |
Multi-index stochastic collocation for random PDEs AL Haji-Ali, F Nobile, L Tamellini, R Tempone Computer Methods in Applied Mechanics and Engineering 306, 95-122, 2016 | 93 | 2016 |
Convergence of quasi-optimal stochastic Galerkin methods for a class of PDEs with random coefficients J Beck, F Nobile, L Tamellini, R Tempone Computers & Mathematics with Applications 67 (4), 732-751, 2014 | 87 | 2014 |
Optimal-order isogeometric collocation at Galerkin superconvergent points M Montardini, G Sangalli, L Tamellini Computer Methods in Applied Mechanics and Engineering 316, 741-757, 2017 | 82 | 2017 |
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 134 (2), 343-388, 2016 | 75 | 2016 |
Model reduction based on proper generalized decomposition for the stochastic steady incompressible Navier--Stokes equations L Tamellini, O Le Maitre, A Nouy SIAM Journal on Scientific Computing 36 (3), A1089-A1117, 2014 | 57 | 2014 |
Convergence of sparse collocation for functions of countably many Gaussian random variables (with application to elliptic PDEs) OG Ernst, B Sprungk, L Tamellini SIAM Journal on Numerical Analysis 56 (2), 877-905, 2018 | 54 | 2018 |
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, 191-220, 2016 | 54 | 2016 |
Multi-index stochastic collocation convergence rates for random PDEs with parametric regularity AL Haji-Ali, F Nobile, L Tamellini, R Tempone Foundations of Computational Mathematics 16, 1555-1605, 2016 | 36 | 2016 |
A quasi-optimal sparse grids procedure for groundwater flows J Beck, F Nobile, L Tamellini, R Tempone Spectral and High Order Methods for Partial Differential Equations-ICOSAHOM …, 2014 | 33 | 2014 |
Comparison of Clenshaw–Curtis and Leja quasi-optimal sparse grids for the approximation of random PDEs F Nobile, L Tamellini, R Tempone Spectral and High Order Methods for Partial Differential Equations ICOSAHOM …, 2015 | 30 | 2015 |
A note on tools for prediction under uncertainty and identifiability of SIR-like dynamical systems for epidemiology C Piazzola, L Tamellini, R Tempone Mathematical Biosciences 332, 108514, 2021 | 29 | 2021 |
Inverse modeling of geochemical and mechanical compaction in sedimentary basins through P olynomial C haos E xpansion G Porta, L Tamellini, V Lever, M Riva Water Resources Research 50 (12), 9414-9431, 2014 | 27 | 2014 |
Algorithm 1040: The Sparse Grids Matlab Kit - a Matlab implementation of sparse grids for high-dimensional function approximation and uncertainty quantification C Piazzola, L Tamellini ACM Transactions on Mathematical Software, 2023 | 26* | 2023 |
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 328, 122-146, 2018 | 24 | 2018 |
Implementation of optimal Galerkin and collocation approximations of PDEs with random coefficients J Beck, F Nobile, L Tamellini, R Tempone ESAIM: Proceedings 33, 10-21, 2011 | 22 | 2011 |
On the convergence of adaptive stochastic collocation for elliptic partial differential equations with affine diffusion M Eigel, OG Ernst, B Sprungk, L Tamellini SIAM Journal on Numerical Analysis 60 (2), 659-687, 2022 | 20 | 2022 |
IGA-based multi-index stochastic collocation for random PDEs on arbitrary domains J Beck, L Tamellini, R Tempone Computer Methods in Applied Mechanics and Engineering 351, 330-350, 2019 | 20 | 2019 |