Raul Tempone
Raul Tempone
Professor of Applied Mathematics, Director - Center for Uncertainty Quantification, KAUST
Verified email at kaust.edu.sa - Homepage
TitleCited byYear
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
14192007
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
9842008
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
9542004
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
5802008
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
3652005
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, 43-62, 2011
1692011
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
1402012
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
1112009
Multi-index Monte Carlo: when sparsity meets sampling
AL Haji-Ali, F Nobile, R Tempone
Numerische Mathematik 132 (4), 767-806, 2016
1022016
A continuation multilevel Monte Carlo algorithm
N Collier, AL Haji-Ali, F Nobile, E Von Schwerin, R Tempone
BIT Numerical Mathematics 55 (2), 399-432, 2015
1022015
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
912014
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 49 (3), 815-837, 2015
902015
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
882005
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
832001
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
772008
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 35 (3), A1440-A1460, 2013
752013
Solving stochastic partial differential equations based on the experimental data
I Babuška, KM Liu, R Tempone
Mathematical Models and Methods in Applied Sciences 13 (03), 415-444, 2003
732003
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
692013
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
672014
Reliability of computational science
I Babuška, F Nobile, R Tempone
Numerical Methods for Partial Differential Equations: An International …, 2007
642007
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