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math-ph2025
A Framework of Model Reduction with Arbitrary Orders of Accuracy for the Boltzmann Equation
Zhenning Cai, Ruo Li, Yixiao Lu +1
This paper presents a general framework for constructing reduced models that approximate the Boltzmann equation with arbitrary orders of accuracy in terms of the Knudsen number $\m…
math.NA2025
A fast Fourier spectral method for the linearized Boltzmann collision operator
Tianai Yin, Zhenning Cai, Yanli Wang
We introduce a fast Fourier spectral method to compute linearized collision operators of the Boltzmann equation for variable hard-sphere gases. While the state-of-the-art method pr…