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Faculty > Professors > LIU Zhihui

LIU Zhihui

Visiting Assistant Professor  

0755-88015922 https://orcid.org/0000-0003-0890-623X

  • Brief Biography
  • Research
  • Teaching
  • Published Works

Career History


2020.9 to present  Southern University of Science and Technology, Department of Mathematics, Assistant Professor

2018.9--2020.8      Hong Kong University of Science and Technology, Department of Mathematics, Research Assistant Professor

2017.8--2018.8      Hong Kong Polytechnic University, Department of Applied Mathematics, Postdoctoral Fellow


Education


2012.9--2017.7      Chinese Academy of Sciences, Academy of Mathematics and Systems Sciences, Ph.D. 

2008.9--2012.7      Hubei University, Faculty of Mathematics and Statistics, B.S.

Research Areas


Stochastic analysis and stochastic calculation


Grants


2020-2023 PI, Hong Kong RGC GRF grant, "Long-time Behaviors and Numerical Approximations of Stochastic Phase Field Models" [HKUST GRF16308720]  (HK $599,861) withdrawn due to departure


2019-2022 PI, Hong Kong RGC GRF grant, ``Mathematical and Numerical Analysis of Stochastic Phase Field Models" [HKUST GRF16307319] (HK $332,261) transferred due to departure

2019-2022 PI, Hong Kong UGC Research Infrastructure Grant - Internal Research Support, "Mathematical and Numerical Analysis of Stochastic Phase Field Models" [HKUST  IRS20SC39]) (HK $30,000) transferred due to departure


Courses in Southern University of Science and Technology


2020 Fall,     MA215, Probability Theory


Courses in Hong Kong University of Science and Technology



2020 Spring, MATH1014, Calculus II


2019 Fall,     MATH1003, Calculus and Linear Algebra


2018 Fall,     MATH1003, Calculus and Linear Algebra

Preprints


Z. Liu, Harnack inequalities, ergodicity, and contractivity of stochastic reaction-diffusion equation in $L^p$, arXiv:2008.01335.


Z. Liu, Asymptotic log-Harnack inequality for monotone SPDE with multiplicative noise, arXiv:2007.13080.

J. Hong, C. Huang, and Z. Liu, Strong convergence rate for fully discrete scheme of semilinear stochastic evolution equation with multiplicative noise, arXiv:1805.07537.


Publications


Z. Liu and Z. Qiao, Strong approximation of monotone stochastic partial differential equations driven by multiplicative noise. Stoch PDE: Anal Comp (2020),  https://doi.org/10.1007/s40072-020-00179-2.

Y. Cao, J. Hong, and Z. Liu, Well-posedness and finite element approximations for elliptic SPDEs with Gaussian noises, Commun. Math. Res. 36 (2020), no. 2, 113--127.

Z. Liu and Z. Qiao, Strong approximation of monotone stochastic partial differential equations driven by white noise, IMA J. Numer. Anal. 40 (2020), no. 2, 1074--1093.

J. Hong, C. Huang, and Z. Liu, Optimal regularity of stochastic evolution equations in M-type 2 Banach spaces, J. Differential Equations 267 (2019), no. 3, 1955--1971.

J. Cui, J. Hong, Z. Liu, and W. Zhou, Strong convergence rate of splitting schemes for stochastic nonlinear Schr"odinger equations, J. Differential Equations 266 (2019), no. 9, 5625--5663.

J. Hong and Z. Liu, Well-posedness and optimal regularity of stochastic evolution equations with multiplicative noises, J. Differential Equations 266 (2019), no. 8, 4712--4745.

Z. Liu and Z. Qiao, Wong--Zakai approximations of stochastic Allen--Cahn equation, Int. J. Numer. Anal. Model. 16 (2019), no. 5, 681--694.

Y. Cao, J. Hong, and Z. Liu, Finite element approximations for second order stochastic differential equation driven by fractional Brownian motion, IMA J. Numer. Anal. 38 (2018), no. 1, 184--197.

J. Hong, L. Ji, and Z. Liu, Optimal error estimates of conservative local discontinuous Galerkin method for nonlinear Schr"odinger equation), Appl. Numer. Math. 127 (2018), no. 5, 164--178.

X. Niu, J. Cui, J. Hong, and Z. Liu, Explicit pseudo-symplectic methods for stochastic Hamiltonian systems, BIT 58 (2018), no. 1, 163--178.

J. Cui, J. Hong, and Z. Liu, Strong convergence rate of finite difference approximations for stochastic cubic Schr"odinger equations, J. Differential Equations 263 (2017), no. 7, 3687--3713.

Y. Cao, J. Hong, and Z. Liu, Approximating stochastic evolution equations with additive white and rough noises, SIAM J. Numer. Anal. 55 (2017), no. 4, 1958--1981.

J. Cui, J. Hong, Z. Liu, and W. Zhou, Stochastic symplectic and multi-symplectic methods for nonlinear Schr"odinger equation with white noise dispersion, J. Comput. Phys. 342 (2017), no. 8, 267--285.

J. Cui, Z. Liu, L. Miao, and X. Wang, H"older continuity for parabolic Anderson equation with non-Gaussian noise, J. Math. Anal. Appl. 441 (2016), no. 2, 684--691.