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Perfect and ε-Perfect Simulation Methods for the One Dimensional Kac Equation
[article]
2016
arXiv
pre-print
We review the derivation of the Kac master equation model for random collisions of particles, its relationship to the Poisson process, and existing algorithms for simulating values from the marginal distribution of velocity for a single particle at any given time. We describe and implement a new algorithm that efficiently and more fully leverages properties of the Poisson process, show that it performs at least as well as existing methods, and give empirical evidence that it may perform better
arXiv:1603.01551v1
fatcat:yyhzlgmevrextjavt4dhye3uxi