47 citations · 102 across the 10 of their papers we have counts for
Showing math.PRShow all
2 papers · 1 filter
math.PR2024★ 4 cited
A Stochastic Calculus Approach to Boltzmann Transport
J. Darby Smith, Rich Lehoucq, Brian Franke
Traditional Monte Carlo methods for particle transport utilize source iteration to express the solution, the flux density, of the transport equation as a Neumann series. Our contri…
math.PR2014★ 37 cited
The exit-time problem for a Markov jump process
Nathanial Burch, Marta D'Elia, R. B. Lehoucq
The purpose of this paper is to consider the exit-time problem for a finite-range Markov jump process, i.e, the distance the particle can jump is bounded independent of its locatio…