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math.NA2024
Machine learning-based moment closure model for the linear Boltzmann equation with uncertainties
Juntao Huang, Liu Liu, Kunlun Qi +1
The Boltzmann equation, a fundamental equation in kinetic theory, serves as a bridge between microscopic particle dynamics and macroscopic continuum mechanics. However, deriving cl…
math.NA2024
Spectral convergence of a semi-discretized numerical system for the spatially homogeneous Boltzmann equation with uncertainties
Liu Liu, Kunlun Qi
In this paper, we study the Boltzmann equation with uncertainties and prove that the spectral convergence of the semi-discretized numerical system holds in a combined velocity and…