xk星空官网

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xk星空官网 Zhihui
Associate Professor
0755-88015922
liuzh3@sustech.edu.cn

Career History

2022.6 to present  Southern University of Science and Technology, Department of Mathematics, AssociateProfessor

2020.9--2022.5      Southern University of Science and Technology, Department of Mathematics, Assistant Professor

2018.9--2020.8      xk星空官网 Kong University of Science and Technology, Department of Mathematics, Research Assistant Professor

2017.8--2018.8      xk星空官网 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, xk星空官网 of Mathematics and Statistics, B.S.

 

Research Areas

Stochastic analysis and stochastic calculation

 

Grants

2022-2024 PI, National NSFC Excellent Young Scientists Fund Program (Overseas), "Numerical Analysis of Stochastic Partial Differential Equations" [NSFC21AAA00602]

2022-2024 PI, National NSFC (Young Program), "Numerical Ergodicity of Stochastic Allen-Cahn xk星空官网" [NSFC12101296]

2020-2023 PI, xk星空官网 Kong RGC GRF grant, "Long-time Behaviors and Numerical Approximations of Stochastic Phase Field Models" [GRF16308720] withdrawn due to departure

2019-2022 PI, xk星空官网 Kong RGC GRF grant, ``Mathematical and Numerical Analysis of Stochastic Phase Field Models" [GRF16307319] transferred due to departure

2019-2022 PI, xk星空官网 Kong UGC Research Infrastructure Grant - Internal Research Support, "Mathematical and Numerical Analysis of Stochastic Phase Field Models" [IRS20SC39]) transferred due to departure

 

Publications

Z. xk星空官网, 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. xk星空官网, Optimal Hölder continuity and hitting probabilities for SPDEs with rough fractional noises, J. Math. Anal. Appl. 512 (2022), no. 1, Paper No. 126125, 21 pp.


Z. xk星空官网 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. xk星空官网, Well-posedness and finite element approximations for elliptic SPDEs with Gaussian noises, Commun. Math. Res. 36 (2020), no. 2, 113--127.


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


Z. xk星空官网 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. xk星空官网, 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. xk星空官网, 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. xk星空官网, Explicit pseudo-symplectic methods for stochastic Hamiltonian systems, BIT 58 (2018), no. 1, 163--178.


J. Cui, J. Hong, and Z. xk星空官网, 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. xk星空官网, 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. xk星空官网, 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. xk星空官网, 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.