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A stochastic collocation method for elliptic partial differential equations with random input data

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Convergence of quasi-optimal Stochastic Galerkin methods for a class of PDES with random coefficients

Fabio Nobile, Lorenzo Tamellini

In this work we consider quasi-optimal versions of the Stochastic Galerkin method for solving linear elliptic PDEs with stochastic coefficients. In particular, we consider the case of a finite number

N

of random inputs and an analytic dependence of the s ...

2014

A stochastic collocation method for elliptic partial differential equations with random input data

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MATHICSE Technical Report : Multi-index stochastic collocation convergence rates for random PDEs with parametric regularity

Adaptive polynomial approximation by means of random discrete least squares

Discrete least squares polynomial approximation with random evaluations − application to parametric and stochastic elliptic PDEs

Error Analysis of the Dynamically Orthogonal Approximation of Time Dependent Random PDEs

MATHICSE Technical Report : Multi-index stochastic collocation for random PDEs

Asymptotic bifurcation and second order elliptic equations on R-N

Lyapunov exponents of random walks in small random potential: the upper bound

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

MATHICSE Technical Report : A posteriori error estimations for elliptic partial differential equations with small uncertainties

Convergence of quasi-optimal Stochastic Galerkin methods for a class of PDES with random coefficients

MATHICSE Technical Report : Multi-index stochastic collocation convergence rates for random PDEs with parametric regularity

Error Analysis of the Dynamically Orthogonal Approximation of Time Dependent Random PDEs

MATHICSE Technical Report : Multi-index stochastic collocation for random PDEs

MATHICSE Technical Report : A posteriori error estimations for elliptic partial differential equations with small uncertainties

Convergence of quasi-optimal Stochastic Galerkin methods for a class of PDES with random coefficients

Asymptotic bifurcation and second order elliptic equations on R-N

Discrete least squares polynomial approximation with random evaluations − application to parametric and stochastic elliptic PDEs

Adaptive polynomial approximation by means of random discrete least squares

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

Lyapunov exponents of random walks in small random potential: the upper bound