Academic Staff


Assistant Professor

Dr. Cui Jianbo
崔建波博士

TU727, Yip Kit Chuen Bldg.

2766 6956

Personal Website


Qualifications
  • Ph.D. (Computational Mathematics) Academy of Mathematics and Systems Science, Chinese Academy of Sciences 2019
  • B.Sc. (Applied Mathematics) Sichuan University 2014

 

Research Interests
  • Analysis and computations of stochastic differential equations
  • Optimal transport theory
  • Structure-preserving numerical methods of Hamiltonian systems

 

Selected Publications
  • Cui, J., Hong, J. and Sun, L. Strong convergence of full discretization for stochastic Cahn–Hilliard equation driven by additive noise. SIAM Journal on Numerical Analysis, 2021, accepted.
  • Cui, J., Liu, S. and Zhou, H. What is a stochastic Hamiltonian process on finite graph? An optimal transport answer. Journal of Differential Equations, 2021, accepted.
  • Cui, J., Hong, J. and Sun, L. Weak convergence and invariant measure of a full discretization for parabolic SPDEs with non-globally Lipschitz coefficients. Stochastic Processes and their Applications, 134 (2021), 55–93.
  • Cui, J. and Hong, J. Absolute continuity and numerical approximation of stochastic Cahn-Hilliard equation with unbounded noise diffusion. Journal of Differential Equations 269 (2020), no. 11, 10143–10180.
  • Cohen, D., Cui, J., Hong, J. and Sun, L. Exponential integrators for stochastic Maxwell’s equations driven by Itô noise. Journal of Computational Physics, 410 (2020), 109382, 21 pp.
  • Cui, J. and Hong, J. Strong and weak convergence rates of a spatial approximation for stochastic partial differential equation with one-sided Lipschitz coefficient. SIAM Journal on Numerical Analysis, 57 (2019), no. 4, 1815–1841.
  • Cui, J., Hong, J., Liu, Z.and Zhou, W. Strong convergence rate of splitting schemes for stochastic nonlinear Schrödinger equations. Journal of Differential Equations, 266 (2019), no. 9, 5625–5663.
  • Bréhier, C. E., Cui, J. and Hong, J. Strong convergence rates of semidiscrete splitting approximations for the stochastic Allen-Cahn equation. IMA Journal of Numerical Analysis, 39 (2019), no. 4, 2096–2134.
  • Cui, J., Hong, J. and Sun, L. On global existence and blow-up for damped stochastic nonlinear Schrödinger equation. Discrete and Continuous Dynamical Systems-Series B, 24 (2019), no. 12, 6837–6854.
  • Cui, J. and Hong, J. Analysis of a splitting scheme for damped stochastic nonlinear Schrödinger equation with multiplicative noise. SIAM Journal on Numerical Analysis, 56 (2018), no. 4, 2045–2069.
  • Niu, X., Cui, J., Hong, J. and Liu, Z. Explicit pseudo-symplectic methods for stochastic Hamiltonian systems. BIT Numerical Mathematics, 58 (2018), no. 1, 163–178.
  • Cui, J., Hong, J. and Liu, Z. Strong convergence rate of finite difference approximations for stochastic cubic Schrödinger equations. Journal of Differential Equations, 263 (2017), no. 7, 3687–3713.
  • Cui, J. Hong, J., Liu, Z. and Zhou, W. Stochastic symplectic and multi-symplectic methods for nonlinear Schrödinger equation with white noise dispersion. Journal of Computational Physics, 342 (2017), 267–285.


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