25 citations · 38 across the 17 of their papers we have counts for
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math.NA2016★ 1 cited
Convergence in probability of an ergodic and conformal multi-symplectic numerical scheme for a damped stochastic NLS equation
Jialin Hong, Lihai Ji, Xu Wang
In this paper, we investigate the convergence order in probability of a novel ergodic numerical scheme for damped stochastic nonlinear Schrödinger equation with an additive noise.…
math.NA2016★ 25 cited
Optimal Error Estimates of Conservative Local Discontinuous Galerkin Method for Nonlinear Schrödinger Equation
Jialin Hong, Lihai Ji, Zhihui Liu
In this paper, we propose a conservative local discontinuous Galerkin method for one-dimensional nonlinear Schrödinger equation. By using special upwind-biased numerical fluxes, we…
math.NA2016
Parareal algorithms applied to stochastic differential equations with conserved quantities
Liying Zhang, Weien Zhou, Lihai ji
In this papers, we couple the parareal algorithm with projection methods of the trajectory on a specific manifold, defined by the preservation of some conserved quantities of the d…