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math.NA2025
A Bi-fidelity numerical method for velocity discretization of Boltzmann equations
Nicolas Crouseilles, Zhen Hao, Liu Liu
In this paper, we introduce a bi-fidelity algorithm for velocity discretization of Boltzmann-type kinetic equations under multiple scales. The proposed method employs a simpler and…
math.NA2025
Efficient stochastic asymptotic-preserving scheme for tumor growth models with uncertain parameters
Ning Jiang, Liu Liu, Huimin Yu
In this paper, we investigate a class of tumor growth models governed by porous medium-type equations with uncertainties arisen from the growth function, initial condition, tumor s…