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math.NA2023
A highly efficient asymptotic preserving IMEX method for the quantum BGK equation
Ruo Li, Yixiao Lu, Yanli Wang
This paper presents an asymptotic preserving (AP) implicit-explicit (IMEX) scheme for solving the quantum BGK equation using the Hermite spectral method. The distribution function…
math.NA2023
Hermite spectral method for the inelastic Boltzmann equation
Ruo Li, Yixiao Lu, Yanli Wang
We propose a Hermite spectral method for the inelastic Boltzmann equation, which makes two-dimensional periodic problem computation affordable by the hardware nowadays. The new alg…
math.NA2022★ 7 cited
Hermite spectral method for multi-species Boltzmann equation
Ruo Li, Yixiao Lu, Yanli Wang +1
We introduce a numerical scheme for the full multi-species Boltzmann equation based on Hermite spectral method. With the proper choice of expansion centers for different species, a…