116 citations · 259 across the 40 of their papers we have counts for
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Preservation of Physical Properties of Stochastic Maxwell Equations with Additive Noise via Stochastic Multi-symplectic Methods
Chuchu Chen, Jialin Hong, Liying Zhang
Stochastic Maxwell equations with additive noise are a system of stochastic Hamiltonian partial differential equations intrinsically, possessing the stochastic multi-symplectic con…
Conservative methods for stochastic differential equations with a conserved quantity
Chuchu Chen, David Cohen, Jialin Hong
This paper proposes a novel conservative method for numerical computation of general stochastic differential equations in the Stratonovich sense with a conserved quantity. We show…
Convergence of a -scheme to solve the stochastic nonlinear Schrödinger equation with Stratonovich noise
Chuchu Chen, Jialin Hong, Andreas Prohl
We propose a -scheme to discretize the -dimensional stochastic cubic Schrödinger equation in Stratono\-vich sense. A uniform bound for the Hamiltonian of the discrete problem…
Symplectic Runge-Kutta Semi-discretization for Stochastic Schrödinger Equation
Chuchu Chen, Jialin Hong
Based on a variational principle with a stochastic forcing, we indicate that the stochastic Schrödinger equation in Stratonovich sense is an infinite-dimensional stochastic Hamilto…
Mean-square Convergence of a Symplectic Local Discontinuous Galerkin Method Applied to Stochastic Linear Schroedinger Equation
Chuchu Chen, Jialin Hong, Lihai Ji
In this paper, we investigate the mean-square convergence of a novel symplectic local discontinuous Galerkin method in L^2-norm for stochastic linear Schroedinger equation with mul…