3 papers
math.NA2026
A Fourier spectral method for the cutoff Boltzmann equation: Convergence analysis and numerical simulation
Yanzhi Gui, Ling-Bing He, Liu Liu
This work addresses a central challenge in the numerical analysis of the cutoff spatially homogeneous Boltzmann equation: the development of rigorously justified, accurate numerica…
math.NA2025
Asymptotic-preserving semi-Lagrangian discontinuous Galerkin schemes for the Boltzmann equation
Xiaofeng Cai, Zhen Hao, Liu Liu +1
In this work, we present an asymptotic-preserving semi-Lagrangian discontinuous Galerkin scheme for the Boltzmann equation that effectively handles multi-scale transport phenomena.…
math.NA2025
Asymptotic-preserving and positivity-preserving discontinuous Galerkin method for the semiconductor Boltzmann equation in the diffusive scaling
Huan Ding, Liu Liu, Xinghui Zhong
In this paper, we develop an asymptotic-preserving and positivity-preserving discontinuous Galerkin (DG) method for solving the semiconductor Boltzmann equation in the diffusive sc…