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20142026
most citedStrong Convergence Rate of Splitting Schemes for Stochastic Nonlinear Schrödinger Equations

63 citations · 585 across the 80 of their papers we have counts for

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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…