I am an Assistant Professor at Department of Mathematics of The Chinese University of Hong Kong.
My research interest lies in applied numerical analysis and scientific computation. I have conducted research in kinetic theory, uncertainty quantification, quantum dynamics; developing efficient numerical schemes for complex multiscale problems and model reduction methods for high-dimensional problems. I am currently interested in data-driven methods, deep learning, control and inverse problems in statistical physics.
I earned my doctorate degree of Mathematics at University of Wisconsin-Madison (2012-2017). Prior to that, I received the Bachelor degree (First Honour) in Applied and Computational Mathematics at Hong Kong Baptist University (2008-2012).
Before joining the Chinese University of Hong Kong, I was a Peter O'Donnell, Jr. Postdoc and instructor at Oden ICES and Department of Mathematics of University of Texas at Austin from 2017-2020.
Zheng Chen, Liu Liu, Lin Mu, DG-IMEX Stochastic Galerkin schemes for Linear Transport Equation with Random Inputs and Diffusive Scalings, Journal of Scientific Computing (a special issue in honor of the 60th birthday of Chi Wang Shu), 73 (2), 566-592, 2017.
Liu Liu, Uniform Spectral Convergence of the Stochastic Galerkin Method for the Linear Semiconductor Boltzmann Equation with Random Inputs and Diffusive Scalings, Kinetic and Related Models, 11 (5), 1139-1156, 2018.
Liu Liu, Uncertainty Quantification for Multiscale Kinetic Equations and Quantum Dynamics, University of Wisconsin-Madison, 2017.
Liu Liu, Shi Jin, Hypocoercivity based Sensitivity Analysis and Spectral Convergence of the Stochastic Galerkin Approximation to Collisional Kinetic Equations with Multiple Scales and Random Inputs, SIAM Multiscale Modeling and Simulation, 16 (3), 1085-1114, 2018.
Liu Liu, A Stochastic Asymptotic-preserving Scheme for the Bipolar Semiconductor Boltzmann- Poisson System with Random Inputs and Diffusive Scalings, Journal of Computational Physics, 376, 634-659, 2019.
Irene M. Gamba, Shi Jin, Liu Liu, Micro-macro Decomposition based Asymptotic-preserving Numerical Schemes and Numerical Moment Conservations for Collisional Nonlinear Kinetic Equations, Journal of Computational Physics, 382, 264-290, 2019.
Esther S. Daus, Shi Jin, Liu Liu, Spectral Convergence of the Stochastic Galerkin Approximation to the Boltzmann Equation with Multiple Scales and Large Random Perturbation in the Collision Kernel, Kinetic and Related Models, 12(4), 909-922, 2019.
Irene M. Gamba, Shi Jin, Liu Liu, Asymptotic-preserving Schemes for Two-species Binary Collisional Kinetic System with Disparate Masses I: Time Discretization and Asymptotic Analysis, Comm. Math. Sci. (a special issue in memory of David Cai), 17(5), 1257-1289, 2019.
Shi Jin, Liu Liu, Giovanni Russo, Zhennan Zhou, Gaussian Wave Packet Transform based Numerical Scheme for the Semiclassical Schrodinger Equation with Random Inputs, Journal of Computational Physics, 401, 109015, 2020.
Liu Liu, Xueyu Zhu, A Bi-fidelity Method for the Boltzmann Equation with Random Parameters and Multiple Scales, Journal of Computational Physics, 402, 108914, 2020.
Nicolas Crouseilles, Shi Jin, Liu Liu, Mohammed Lemou, Nonlinear Geometric Optics Based Multiscale Stochastic Galerkin Methods for Highly Oscillatory Transport Equations with Random Inputs, ESAIM. Mathematical Modelling and Numerical Analysis, 54(6), 1849-1882, 2020.
Irene M. Gamba, Shi Jin, Liu Liu, Error Estimate of the Bi-fidelity Method for Kinetic Equations with Random Parameters and Different Scalings, International Journal for Uncertainty Quantification, to appear.
Esther S. Daus, Shi Jin, Liu Liu, On the Multi-species Boltzmann Equation with Uncertainty and its Stochastic Galerkin Approximation, submitted.
Zheng Chen, Liu Liu, Lin Mu, Solving the Linear Transport Equation by a Deep Neural Network Approach, submitted.