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 ...

Scientists have recently made significant progress in the field of quantum technology, developing a series of efficient reconstruction techniques for bosonic states encoded in electromagnetic fields.

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 ...

We propose new numerical schemes for decoupled forward-backward stochastic differential equations (FBSDEs) with jumps, where the stochastic dynamics are driven by a ddimensional Brownian motion and an ...