63 citations · 585 across the 80 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…
Modified equations for weak stochastic symplectic schemes via their generating functions
Lijin Wang, Jialin Hong
In this paper, a systematic approach of constructing modified equations for weak stochastic symplectic methods of stochastic Hamiltonian systems is given via using the generating f…
Energy evolution of multi-symplectic methods for Maxwell equations with perfectly matched layer boundary
Jialin Hong, Lihai Ji
In this paper, we consider the energy evolution of multi-symplectic methods for three-dimensional (3D) Maxwell equations with perfectly matched layer boundary, and present the ener…
Near Preservation of Quadratic Invariants by Stochastic Runge-Kutta Methods
Jialin Hong, Lijin Wang, Dongsheng Xu +1
Based on the combinatory theory of rooted colored trees, we investigate the conditions for the explicit stochastic Runge-Kutta (SRK) methods to preserve quadratic invariants (QI) u…
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…
Energy-conserving method for Stochastic Maxwell Equations with Multiplicative Noise
Jialin Hong, Lihai Ji, Liying Zhang +1
In this paper, it is shown that three-dimensional stochastic Maxwell equations with multiplicative noise are stochastic Hamiltonian partial differential equations possessing a geom…