Publications associées à Adaptive sparse grid algorithms with applications to electromagnetic scattering under uncertainty

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Approximation of Quantities of Interest in Stochastic PDEs by the Random Discrete $L^2$ Projection on Polynomial Spaces

Fabio Nobile, Giovanni Migliorati, Erik Gustaf Bogislaw Von Schwerin

In this work we consider the random discrete

L^2

projection on polynomial spaces (hereafter RDP) for the approximation of scalar quantities of interest (QOIs) related to the solution of a partial differential equation model with random input parameters. ...

Siam Publications2013

Adaptive sparse grid algorithms with applications to electromagnetic scattering under uncertainty

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MATHICSE Technical Report : An adaptive sparse grid algorithm for elliptic PDEs with lognormal diffusion coefficient

MATHICSE Technical Report : Optimization of mesh hierarchies in multilevel Monte Carlo samplers

Discrete Stochastic Microfacet Models

Approximation of Quantities of Interest in Stochastic PDEs by the Random Discrete $L^2$ Projection on Polynomial Spaces

Solving Stochastic Ordinary Differential Equations by Monte Carlo and Polynomial Chaos

A higher-order numerical framework for stochastic simulation of chemical reaction systems

Certified reduced basis method for electromagnetic scattering and radar cross section estimation

Efficient algorithms for computing Sommerfeld integral tails

Numerical Study Of An Anisotropic Error Estimator In The L-2(H-1) Norm For The Finite Element Discretization Of The Wave Equation

Hybrid Numerical Solution of the Chemical Master Equation

Certified reduced basis method for electromagnetic scattering and radar cross section estimation

Hybrid Numerical Solution of the Chemical Master Equation

MATHICSE Technical Report : An adaptive sparse grid algorithm for elliptic PDEs with lognormal diffusion coefficient

MATHICSE Technical Report : Optimization of mesh hierarchies in multilevel Monte Carlo samplers

Discrete Stochastic Microfacet Models

Approximation of Quantities of Interest in Stochastic PDEs by the Random Discrete $L^2$ Projection on Polynomial Spaces

Efficient algorithms for computing Sommerfeld integral tails

Solving Stochastic Ordinary Differential Equations by Monte Carlo and Polynomial Chaos

A higher-order numerical framework for stochastic simulation of chemical reaction systems

Numerical Study Of An Anisotropic Error Estimator In The L-2(H-1) Norm For The Finite Element Discretization Of The Wave Equation