63 citations · 174 across the 31 of their papers we have counts for
32 papers
Strong error analysis of a temporal approximation for stochastic Korteweg-de Vries equation with small additive noise
Jianbo Cui, Raffaele D'Ambrosio, Stefano Di Giovacchino +1
We study strong temporal approximation of periodic stochastic Korteweg--de Vries equation driven by small additive \(Q\)-Wiener noise of amplitude \(\mathcal O(\varepsilon)\), \(0<…
A regularized truncated finite element method for degenerate parabolic stochastic PDE on non-compact graph
Jianbo Cui, Mihály Kovács, Derui Sheng
We study the numerical approximation of a class of degenerate parabolic stochastic partial differential equations on non-compact metric graphs, which naturally arise in the asympto…
Regularization effect of noise on fully discrete approximation for stochastic reaction-diffusion equation near sharp interface limit
Jianbo Cui
To capture and simulate geometric surface evolutions, one effective approach is based on the phase field methods. Among them, it is important to design and analyze numerical approx…
Polynomial weak approximation for stochastic reaction-diffusion equations near the sharp interface limit
Jianbo Cui, Liying Sun
We study weak approximation for stochastic reaction-diffusion equations in the sharp-interface regime, where the diffuse interface thickness \(ε\) is small and the dependence of nu…
Quantifying the effect of random dispersion for logarithmic Schrödinger equation
Jianbo Cui, Liying Sun
This paper is concerned with the random effect of the noise dispersion for stochastic logarithmic Schrödinger equation emerged from the optical fibre with dispersion management. Th…
Energy regularized models for logarithmic SPDEs and their numerical approximations
Jianbo Cui, Dianming Hou, Zhonghua Qiao
Understanding the properties of the stochastic phase field models is crucial to model processes in several practical applications, such as soft matters and phase separation in rand…