Prof. Liu LIU

Assistant Professor
BSc (Hong Kong Baptist University);
PhD (University of Wisconsin at Madison)

[Teacher's name in full]
Address:
Room 234, Lady Shaw Building ,
The Chinese University of Hong Kong,
Shatin, N.T., Hong Kong
Tel:
(852) 3943-7957
Email:
lliu@math.cuhk.edu.hk
Personal Website:
https://www.math.cuhk.edu.hk/~lliu/

Fields of Interest:
General applied numerical analysis, kinetic theory, uncertainty quantification, quantum dynamics, developing efficient numerical methods for multi-scale and high-dimensional problems; data-driven science and machine learning.

Selected Publications:

  1. Hypocoercivity based sensitivity analysis and spectral convergence of the stochastic Galerkin approximation to collisional kinetic equations with multiple scales and random inputs (with Shi Jin), SIAM Multiscale Modeling and Simulation, 2018.

  2. A stochastic Asymptotic-preserving scheme for the bipolar semiconductor Boltzmann-Poisson system with random inputs and diffusive scalings (sole-authored), Journal of Computational Physics, 2019.

  3. Gaussian wave packet transform based numerical scheme for the semiclassical Schrodinger equation with random inputs (with Shi Jin, Giovanni Russo and Zhennan Zhou), Journal of Computational Physics, 2020.

  4. A bi-fidelity method for the Boltzmann equation with random parameters and multiple scales (with Xueyu Zhu), Journal of Computational Physics, 2020.

Major Research Grants:
  • Research Grants Council - Early Career Scheme (2021, PI), General Research Fund (2022 & 2023, PI)
Honours and Awards:
  • Early Career Award, Research Grant Council

Courses

Course Code Course Title Academic Year Term
MATH2040A Linear Algebra II 2023/24 1
MATH3240 Numerical Methods for Differential Equations 2023/24 2
MATH6222 Topics in Numerical Analysis II 2023/24 2
Course Code Course Title Academic Year Term
MATH1010E University Mathematics 2022/23 1
MATH1010I University Mathematics 2022/23 2
MATH6222 Topics in Numerical Analysis II 2022/23 2
MATH1010E University Mathematics 2021/22 1
MATH6221 Topics in Numerical Analysis I 2021/22 1
MATH1010I University Mathematics 2021/22 2
MATH6221 Topics in Numerical Analysis I 2020/21 1
MATH1010G University Mathematics 2020/21 2