The Nonclassical Boltzmann Equation and DIffusion-Based Approximations to the Boltzmann Equation
نویسندگان
چکیده
Abstract. We show that several diffusion-based approximations (classical diffusion or SP1, SP2, SP3) to the linear Boltzmann equation can (for an infinite, homogeneous medium) be represented exactly by a nonclassical transport equation. As a consequence, we indicate a method to solve these diffusion-based approximations to the Boltzmann equation via Monte Carlo methods, with only statistical errors—no truncation errors.
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ورودعنوان ژورنال:
- SIAM Journal of Applied Mathematics
دوره 75 شماره
صفحات -
تاریخ انتشار 2015