4 papers
On multi-fidelity methods for a tumor growth model with uncertainties
Huimin Yu, Liu Liu, Yu Feng +1
We develop a hierarchical multi-fidelity (MF) framework for efficient uncertainty quantification of porous-medium equation (PME) tumor growth models with moving free boundaries. Th…
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…
An efficient Asymptotic-Preserving scheme for the Boltzmann mixture with disparate mass
Zhen Hao, Ning Jiang, Liu Liu
In this paper, we develop and implement an efficient asymptotic-preserving (AP) scheme to solve the gas mixture of Boltzmann equations under the disparate mass scaling relevant to…
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…