Publications associées à An anisotropic sparse grid stochastic collocation method for partial differential equations with random input data

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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

An anisotropic sparse grid stochastic collocation method for partial differential equations with random input data

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A stochastic collocation method for the second order wave equation with a discontinuous random speed

A Weighted Reduced Basis Method For Elliptic Partial Differential Equations With Random Input Data

MATHICSE Technical Report : Analytic regularity and collocation approximation for PDEs with random domain deformations

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

MATHICSE Technical Report : Perturbation analysis for the Darcy problem with log-normal permeability

Multistable randomly switching oscillators: The odds of meeting a ghost

Solving Stochastic Ordinary Differential Equations by Monte Carlo and Polynomial Chaos

Stochastic Optimal Robin Boundary Control Problems of Advection-Dominated Elliptic Equations

What are the Odds? Probabilistic programming in Scala

Lyapunov Exponents of Random Walks in Small Random Potential: The Lower Bound

A stochastic collocation method for the second order wave equation with a discontinuous random speed

MATHICSE Technical Report : Perturbation analysis for the Darcy problem with log-normal permeability

Multistable randomly switching oscillators: The odds of meeting a ghost

Lyapunov Exponents of Random Walks in Small Random Potential: The Lower Bound

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

A Weighted Reduced Basis Method For Elliptic Partial Differential Equations With Random Input Data

Solving Stochastic Ordinary Differential Equations by Monte Carlo and Polynomial Chaos

MATHICSE Technical Report : Analytic regularity and collocation approximation for PDEs with random domain deformations

Stochastic Optimal Robin Boundary Control Problems of Advection-Dominated Elliptic Equations

What are the Odds? Probabilistic programming in Scala