A stochastic collocation method for elliptic partial differential equations with random input data I Babuška, F Nobile, R Tempone SIAM Journal on Numerical Analysis 45 (3), 1005-1034, 2007 | 1900 | 2007 |
A sparse grid stochastic collocation method for partial differential equations with random input data F Nobile, R Tempone, CG Webster SIAM Journal on Numerical Analysis 46 (5), 2309-2345, 2008 | 1323 | 2008 |
Galerkin finite element approximations of stochastic elliptic partial differential equations I Babuska, R Tempone, GE Zouraris SIAM Journal on Numerical Analysis 42 (2), 800-825, 2004 | 1180 | 2004 |
An anisotropic sparse grid stochastic collocation method for partial differential equations with random input data F Nobile, R Tempone, CG Webster SIAM Journal on Numerical Analysis 46 (5), 2411-2442, 2008 | 720 | 2008 |
Solving elliptic boundary value problems with uncertain coefficients by the finite element method: the stochastic formulation I Babuška, R Tempone, GE Zouraris Computer methods in applied mechanics and engineering 194 (12-16), 1251-1294, 2005 | 421 | 2005 |
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 | 273 | 2011 |
Multi-index Monte Carlo: when sparsity meets sampling AL Haji-Ali, F Nobile, R Tempone Numerische Mathematik 132, 767-806, 2016 | 202 | 2016 |
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 | 186 | 2012 |
Fast estimation of expected information gains for Bayesian experimental designs based on Laplace approximations Q Long, M Scavino, R Tempone, S Wang Computer Methods in Applied Mechanics and Engineering 259, 24-39, 2013 | 170 | 2013 |
A continuation multilevel Monte Carlo algorithm N Collier, AL Haji-Ali, F Nobile, E Von Schwerin, R Tempone BIT Numerical Mathematics 55, 399-432, 2015 | 159 | 2015 |
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-Modélisation …, 2015 | 141 | 2015 |
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 80 (6‐7), 979-1006, 2009 | 137 | 2009 |
Multilevel sequential monte carlo samplers A Beskos, A Jasra, K Law, R Tempone, Y Zhou Stochastic Processes and their Applications 127 (5), 1417-1440, 2017 | 124 | 2017 |
Analysis of Discrete Projection on Polynomial Spaces with Random Evaluations G Migliorati, F Nobile, E Von Schwerin, R Tempone Foundations of Computational Mathematics 14 (3), 419-456, 2014 | 123 | 2014 |
A stochastic maximum principle for risk-sensitive mean-field type control B Djehiche, H Tembine, R Tempone IEEE Transactions on Automatic Control 60 (10), 2640-2649, 2015 | 116 | 2015 |
Multilevel ensemble Kalman filtering H Hoel, KJH Law, R Tempone SIAM Journal on Numerical Analysis 54 (3), 1813-1839, 2016 | 115 | 2016 |
Theory and methodology for estimation and control of errors due to modeling, approximation, and uncertainty JT Oden, I Babuška, F Nobile, Y Feng, R Tempone Computer Methods in Applied Mechanics and Engineering 194 (2-5), 195-204, 2005 | 107 | 2005 |
Approximation of Quantities of Interest in Stochastic PDEs by the Random Discrete Projection on Polynomial Spaces G Migliorati, F Nobile, E von Schwerin, R Tempone SIAM Journal on Scientific Computing 35 (3), A1440-A1460, 2013 | 101 | 2013 |
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 197 (29-32), 2517-2539, 2008 | 99 | 2008 |
Adaptive weak approximation of stochastic differential equations A Szepessy, R Tempone, GE Zouraris Communications on Pure and Applied Mathematics: A Journal Issued by the …, 2001 | 98 | 2001 |