Teaching

Fall 2019: Math 1553.

Research

I work in Computional Mathematics, with Prof. Haoming Zhou and Prof. Luca Dieci as my advisors. I received my Ph.D. from Chinese Academy of Sciences in 2019. My main research interest lies in numerical methods and analysis of the differential equation on the graph via optimal transport, as well as the stochastic (partial) differential equations. Here is my CV.

Papers

Strong and Weak Convergence Rates of a Spatial Approximation for Stochastic Partial Differential Equation with One-sided Lipschitz Coefficient.
SIAM J. Numer. Anal. 57 (2019), no. 4, 1815–1841. (with J. Hong)

Strong convergence rates of semidiscrete splitting approximations for the stochastic Allen–Cahn equation.
IMA J. Numer. Anal. (2019) (with C. E. Bréhier annd J.Hong)

On global existence and blow-up for damped stochastic nonlinear Schrödinger equation.
Discrete Contin. Dyn. Syst. Ser. B (2019) (with J. Hong and L. Sun)

Strong convergence rate of splitting schemes for stochastic nonlinear Schrödinger equations.
J. Differential Equations 266 (2019), no. 9, 5625–5663. (with J. Hong, Z. Liu and W. Zhou)

Analysis of a splitting scheme for damped stochastic nonlinear Schrödinger equation with multiplicative noise.
SIAM J. Numer. Anal. 56 (2018), no. 4, 2045–2069. (with J. Hong)

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

Strong convergence rate of finite difference approximations for stochastic cubic Schrödinger equations.
J. Differential Equations 263 (2017), no. 7, 3687–3713. (with J. Hong and Z. Lui)

Stochastic symplectic and multi-symplectic methods for nonlinear Schrödinger equation with white noise dispersion.
J. Comput. Phys. 342 (2017), 267–285. (with J. Hong, Z. Liu and W. Zhou)

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

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