她的研究领域涵盖数值分析与科学计算，特别关注偏微分方程、随机与参数化问题以及动态低秩逼近的数值方法。她目前的研究重点在于针对开放量子系统（特别是 Lindblad 主方程）保结构模拟的随机低秩方法。
Stable and efficient finite element methods for coupled free flow and porous media models
Monte Carlo, stochastic collocation, and uncertainty quantification methods for random Stokes-Darcy problems with uncertain parameters.
Efficient ensemble and domain decomposition algorithms for repeated large-scale simulations, reducing computational cost across multiple realizations.
Randomized low-rank approximation methods for Lindblad dynamics, with emphasis on positive semidefinite structure and efficient simulation.
Multi-level Monte Carlo ensemble domain decomposition method for the random Stokes-Darcy models with uncertain parameters
Chunchi Liu, Yao Rong*, Yizhong Sun*, Jiaping Yu, Haibiao Zheng
Journal of Computational Physics, 556, Article 114800, 2026.
An ensemble domain decomposition method based on the stochastic collocation method for the random Stokes-Darcy models
Yan Chen, Chunchi Liu*, and Haibiao Zheng
Computer Methods in Applied Mechanics and Engineering, 2026.
A Long-Time Stable Higher-Order Time Discretization Scheme for Stochastic Stokes-Darcy Systems
Yan Chen, Chunchi Liu*, and Haibiao Zheng
(Under Review)
