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 ...

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

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 ...

This is a preview. Log in through your library . Abstract In this paper, a mass (or normalization) and magnetization conservative and energy-diminishing numerical method is presented for computing the ...