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Fabio Nobile

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Fabio Nobile

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An Adaptive Sparse Grid Algorithm for Elliptic PDEs with Lognormal Diffusion Coefficient

Optimization of mesh hierarchies in multilevel Monte Carlo samplers

Tensor train approximation of moment equations for elliptic equations with lognormal coefficient

Numerical methods for random and stochastic partial differential equations

MATHICSE Technical Report :Convergence analysis of Padé approximations for Helmholtz frequency response problems

Multi-index Monte Carlo: when sparsity meets sampling

Multi-index Stochastic Collocation for random PDEs

Multi-index stochastic collocation convergence rates for random PDEs with parametric regularity

A Multi Level Monte Carlo Algorithm for the Treatment of Geometrical and Operational Uncertainties in Internal and External Aerodynamics

Convergence of quasi-optimal sparse-grid approximation of Hilbert-space-valued functions: application to random elliptic PDEs