工作經歷
2022.6至今 南方科技大學，數學系，副教授，研究員
2020.9--2022.5 南方科技大學，數學系，助理教授
2018.9--2020.8 香港科技大學，數學系，研究助理教授
2017.8--2018.8 香港理工大學，應用數學系，博士后
教育背景
2012.9--2017.7 中國科學院，數學與系統科學研究院，博士
2008.9--2012.7 湖北大學，數學與統計學院，學士
研究領域
隨機分析與隨機計算
基金項目
2022-2024 PI，國家自然科學基金優秀青年科學基金項目（海外），“隨機偏微分方程的數值分析” [NSFC21AAA00602] 在研
2022-2024 PI，國家自然科學基金青年科學基金項目，“隨機Allen-Cahn方程的數值遍歷性” [NSFC12101296] 在研
2020-2023 PI，香港研究資助局研究基金，“Long-time Behaviors and Numerical Approximations of Stochastic Phase Field Models” [GRF16308720] 離職終止
2019-2022 PI，香港研究資助局研究基金，“Mathematical and Numerical Analysis of Stochastic Phase Field Models” [GRF16307319] 離職轉移
2019-2022 PI，香港大學研究資助局研究基礎設施撥款香港科技大學校內研究資助, “Mathematical and Numerical Analysis of Stochastic Phase Field Models” [IRS20SC39] 離職轉移
發表文章
Z. Liu, Lp-convergence rate of backward Euler schemes for monotone SDEs, BIT (2022), https://doi.org/10.1007/s10543-022-00923-1.
D. Sheng, J. Hong, and Z. Liu, Optimal H?lder continuity and hitting probabilities for SPDEs with rough fractional noises, J. Math. Anal. Appl. 512 (2022), no. 1, Paper No. 126125, 21 pp.
Z. Liu and Z. Qiao, Strong approximation of monotone stochastic partial differential equations driven by multiplicative noise. Stoch. Partial Differ. Equ. Anal. Comput. 9 (2021), no. 3, 559–602.
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.
