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刘智慧

访问助理教授  

0755-88015922 http://faculty.sustech.edu.cn/liuzh3/

  • 简历
  • 科研
  • 教学
  • 发表论著

工作经历


2020.9至今        南方科技大学,数学系,助理教授

2018.9--2020.8  香港科技大学,数学系,研究助理教授

2017.8--2018.8  香港理工大学,应用数学系,博士后


教育背景


2012.9--2017.7  中国科学院,数学与系统科学研究院,博士

2008.9--2012.7  湖北大学,数学与统计学院,学士





研究领域


随机分析与随机计算


基金项目


2020-2023 PI,香港研究资助局(RGC)一般研究基金(GRF),“Long-time Behaviors and Numerical Approximations of Stochastic Phase Field Models” [HKUST GRF16308720](HK $599,861)离职终止

 

2019-2022 PI,香港研究资助局(RGC)一般研究基金(GRF),“Mathematical and Numerical Analysis of Stochastic Phase Field Models [HKUST GRF16307319]”HK $332,261)离职转移 

 

2019-2022 PI,香港大学研究资助局(UGC)研究基础设施拨款(RIG)香港科技大学校内研究资助, “Mathematical and Numerical Analysis of Stochastic Phase Field Models [HKUST IRS20SC39]”HK $30,000)离职转移 



南方科技大学课程


2020年秋季学期MA215概率论


香港科技大学课程


2020年春季学期MATH1014微积分II


2019年秋季学期MATH1003微积分与线性代数


2018年秋季学期MATH1003微积分与线性代数


投稿文章


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.


发表文章


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.