Numerical Approximations of Stochastic Maxwell Equations: Via Structure-Preserving Algorithms

Chuchu Chen is an associate professor at the Chinese Academy of Sciences. She obtained her Ph.D. in 2015 at the Chinese Academy of Sciences. Her research interest is in the numerical analysis of stochastic partial differential equations, especially in the structure-preserving algorithms for stochastic Hamiltonian PDEs including the stochastic Maxwell equations and the stochastic Schrödinger equation, the analysis of the long-time dynamical behaviors including the ergodicity and intermittency of stochastic numerical methods, the influence of numerical discretizations on the statistical properties like the hitting probability and density function of stochastic PDEs.

Jialin Hong is a professor at the Chinese Academy of Sciences. He obtained his Ph.D. in 1994 at Jilin University. He works in various directions including structure-preserving algorithms for dynamical systems involving symplectic and multi-symplectic methods for Hamiltonian ODEs andPDEs, Lie group methods and applications, numerical dynamics including chaos, bifurcations for discrete systems, numerical methods for stochastic ordinary differential systems, stochastic partial differential equations, and backward stochastic differential equations, almost periodic dynamical systems, and ergodic theory.

Lihai Ji is an associate professor at the Institute of Applied Physics and Computational Mathematics. He obtained his Ph.D. in 2013 at the Chinese Academy of Sciences. He works in stochastic partial differential equations and their numerical algorithms. He has been investigating the construction and analysis of various energy-preserving algorithms, positive-preserving algorithms, stochastic symplectic and multi-symplectic algorithms for the stochastic Lotka-Volterra model and stochastic Hamiltonian PDEs including the stochastic Maxwell equations, the stochastic Schrödinger equation, and the coupled stochastic Schrödinger equation.

Chuchu Chen是中國科學院的副教授。她於2015年在中國科學院獲得博士學位。她的研究興趣在於隨機偏微分方程的數值分析，尤其是針對隨機哈密頓偏微分方程的結構保持算法，包括隨機麥克斯韋方程和隨機薛定諤方程，以及隨機數值方法的長時間動力行為分析，包括隨機數值方法的達到達到平均性和間歇性，以及數值離散對於隨機偏微分方程的擊中概率和密度函數等統計性質的影響。

Jialin Hong是中國科學院的教授。他於1994年在吉林大學獲得博士學位。他的研究方向包括結構保持算法，涉及哈密頓常微分方程和偏微分方程的輪換和多輪換方法，李群方法和應用，混沌，離散系統的分叉，隨機常微分方程的數值方法，隨機偏微分方程和反向隨機微分方程，幾乎周期動力系統和達到達到理論。

Lihai Ji是應用物理和計算數學研究所的副教授。他於2013年在中國科學院獲得博士學位。他的研究領域是隨機偏微分方程及其數值算法。他一直在研究各種能量保持算法、正保持算法、隨機輪換和多輪換算法，應用於隨機洛特卡-伏爾泰拉模型和隨機哈密頓偏微分方程，包括隨機麥克斯韋方程、隨機薛定諤方程和耦合隨機薛定諤方程的構建和分析。