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math.NA2019★ 1 cited
A computational study of preconditioning techniques for the stochastic diffusion equation with lognormal coefficient
Eugenio Aulisa, Giacomo Capodaglio, Guoyi Ke
We present a computational study of several preconditioning techniques for the GMRES algorithm applied to the stochastic diffusion equation with a lognormal coefficient discretized…
math.NA2019★ 1 cited
Piecewise polynomial approximation of probability density functions with application to uncertainty quantification for stochastic PDEs
Giacomo Capodaglio, Max Gunzburger
The probability density function (PDF) associated with a given set of samples is approximated by a piecewise-linear polynomial constructed with respect to a binning of the sample s…