Dr. Chunchi Liu is a postdoctoral researcher at the Institute of Natural Sciences, Shanghai Jiao Tong University. She received her Ph.D. from East China Normal University in 2025.
Her research lies in numerical analysis and scientific computing, with particular interests in numerical methods for partial differential equations, stochastic and parametric problems and dynamical low-rank approximation. Her current research focuses on randomized low-rank methods for structure-preserving simulations of open quantum systems, especially the Lindblad master equation.
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)