Variance reduction for Monte Carlo solutions of the Boltzmann equation

156 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Efficient simulation of multidimensional phonon transport using energy-based variance-reduced Monte Carlo formulations (2011, methodology): “ statistical uncertainty varies as a function of space in the deviational simulation and is thus dicult to quantify precisely; simulations of simple problems (e.g. Couette-type problems) in the past [5, 12, 13] have yielded very similar results. We also note that even though ˙= T is strictly speakin”
Numerical methods for kinetic equations* (2014, methodology): “Control variate methods have been studied for DSMC simulations of low-speed gas flows (Homolle and Hadjiconstantinou 2007a, Homolle and Hadjiconstantinou 2007b, Baker and Hadjiconstantinou 2005, Radtke and Hadjiconstantinou 2009, Radtke et al. 2011).”
A high-order moment approach for capturing non-equilibrium phenomena in the transition regime (2009, methodology): “For many years, alternative macroscopic modelling and simulation strategies have been developed (Chapman & Cowling 1970; Muller & Ruggeri 1993; Levermore 1996; Xu 2001; Shen, Fan & Xie 2003; Sun & Boyd 2004; Baker & Hadjiconstantinou 2005; Struchtrup 2005).”