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math.PR2025
Large and moderate deviation principles for stochastic partial differential equation on graph
Jianbo Cui, Derui Sheng
In this paper, we study large and moderate deviation principles for stochastic partial differential equations (SPDEs) on metric graphs and their associated multiscale models via th…
math.NA2025
A dynamic domain semi-Lagrangian method for stochastic Vlasov equations
Jianbo Cui, Derui Sheng, Chenhui Zhang +1
We propose a dynamic domain semi-Lagrangian method for stochastic Vlasov equations driven by transport noises, which arise in plasma physics and astrophysics. This method combines…
math.NA2025
Improving Numerical Error Bounds Near Sharp Interface Limit for Stochastic Reaction-Diffusion Equations
Jianbo Cui, Feng-Yu Wang
In the study of geometric surface evolutions, stochastic reaction-diffusion equation provides a powerful tool for capturing and simulating complex dynamics. A critical challenge in…