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math.NA2010★ 10 cited
A Numerical Scheme for the Quantum Boltzmann Equation Efficient in the Fluid Regime
Francis Filbet, Jingwei Hu, Shi Jin
Numerically solving the Boltzmann kinetic equations with the small Knudsen number is challenging due to the stiff nonlinear collision term. A class of asymptotic preserving schemes…
math.NA2010
An Asymptotic Preserving Scheme for the ES-BGK model
Francis Filbet, Shi Jin
In this paper, we study a time discrete scheme for the initial value problem of the ES-BGK kinetic equation. Numerically solving these equations are challenging due to the nonlinea…