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20162026
most citedStrong Convergence Rate of Splitting Schemes for Stochastic Nonlinear Schrödinger Equations

63 citations · 174 across the 31 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.NA2016★ 4 cited

Stochastic Symplectic and Multi-Symplectic Methods for Nonlinear Schrödinger Equation with White Noise Dispersion

Jianbo Cui, Jialin Hong, Zhihui Liu +1

We indicate that the nonlinear Schrödinger equation with white noise dispersion possesses stochastic symplectic and multi-symplectic structures. Based on these structures, we propo…