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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.NA2020★ 5 cited
A new stability and convergence proof of the Fourier-Galerkin spectral method for the spatially homogeneous Boltzmann equation
Jingwei Hu, Kunlun Qi, Tong Yang
Numerical approximation of the Boltzmann equation is a challenging problem due to its high-dimensional, nonlocal, and nonlinear collision integral. Over the past decade, the Fourie…