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math.PR2016
Strong Convergence Rate of Finite Difference Approximations for Stochastic Cubic Schrödinger Equations
Jianbo Cui, Jialin Hong, Zhihui Liu
In this paper, we derive a strong convergence rate of spatial finite difference approximations for both focusing and defocusing stochastic cubic Schrödinger equations driven by a m…
math.PR2016★ 3 cited
Optimal Hölder Continuity and Hitting Probabilities for SPDEs with Rough Fractional Noises
Jialin Hong, Zhihui Liu, Derui Sheng
We investigate the optimal Hölder continuity and hitting probabilities for systems of stochastic heat equations and stochastic wave equations driven by an additive fractional Brown…