1 Introduction: Consequences of Numerical Inaccuracy 1 -- 1.1 Importance of Understanding Computational Statistics 1 -- 1.2 Brief History: Duhem to the Twenty-First Century 3 -- 1.3 Motivating Example ...

In this paper we show that the use of spectral Galerkin methods for the approximation of the Boltzmann equation in the velocity space permits one to obtain spectrally accurate numerical solutions at a ...

Models of fluid flow: turbulence and uncertainty quantification, Sandia National Laboratories, February 2011. M. Gunzburger, A. Labovsky, An efficient and accurate numerical method for ...