63 citations · 174 across the 31 of their papers we have counts for
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math.NA2017★ 4 cited
Analysis of A Splitting Scheme for Damped Stochastic Nonlinear Schrödinger Equation with Multiplicative Noise
Jianbo Cui, Jialin Hong
In this paper, we investigate the damped stochastic nonlinear Schrödinger(NLS) equation with multiplicative noise and its splitting-based approximation. When the damped effect is l…
math.NA2017★ 63 cited
Strong Convergence Rate of Splitting Schemes for Stochastic Nonlinear Schrödinger Equations
Jianbo Cui, Jialin Hong, Zhihui Liu +1
We prove the optimal strong convergence rate of a fully discrete scheme, based on a splitting approach, for a stochastic nonlinear Schrödinger (NLS) equation. The main novelty of o…