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arXiv · 1412.1000

The Non-Classical Boltzmann Equation, and Diffusion-Based Approximations to the Boltzmann Equation

Martin Frank·Kai Krycki·Edward W. Larsen·Richard Vasques
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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 non-classical transport equation. As a consequence, we indicate a method to solve diffusion-based approximations to the Boltzmann equation via Monte Carlo, with only statistical errors - no truncation errors.

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Martin Frank, Kai Krycki, Edward W. Larsen, Richard Vasques. 2014-12-02. The Non-Classical Boltzmann Equation, and Diffusion-Based Approximations to the Boltzmann Equation. https://doi.org/10.1137/140999451

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