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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
The paper studies strong temporal discretizations for the periodic stochastic Korteweg–de Vries equation with small additive Q‑Wiener noise, deriving explicit strong convergence ra…
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…
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 n…
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…