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中国科学院数学与系统科学研究院机构知识库
KMS Of Academy of mathematics and systems sciences, CAS
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Large Deviations Principles for Symplectic Discretizations of Stochastic Linear Schrodinger Equation
期刊论文
POTENTIAL ANALYSIS, 2022, 页码: 41
作者:
Chen, Chuchu
;
Hong, Jialin
;
Jin, Diancong
;
Sun, Liying
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  |  
浏览/下载:125/0
  |  
提交时间:2022/04/29
Large deviations principle
Symplectic discretizations
Stochastic Schrodinger equation
Rate function
Exponential tightness
Structure-Preserving Numerical Methods for Stochastic Poisson Systems
期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2021, 卷号: 29, 期号: 3, 页码: 802-830
作者:
Hong, Jialin
;
Ruan, Jialin
;
Sun, Liying
;
Wang, Lijin
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  |  
浏览/下载:130/0
  |  
提交时间:2021/04/26
Stochastic Poisson systems
Poisson structure
Casimir functions
Poisson integrators
symplectic integrators
generating functions
stochastic rigid body system
New high order symplectic integrators via generating functions with its application in many-body problem
期刊论文
BIT NUMERICAL MATHEMATICS, 2019, 页码: 27
作者:
Tu, Xiongbiao
;
Murua, Ander
;
Tang, Yifa
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  |  
浏览/下载:160/0
  |  
提交时间:2020/05/24
High order
Separable Hamiltonian
Quadratic
Geometric Structures and Numerical Schemes for Nonlinear Schrodinger Equations
期刊论文
INVARIANT MEASURES FOR STOCHASTIC NONLINEAR SCHRODINGER EQUATIONS: NUMERICAL APPROXIMATIONS AND SYMPLECTIC STRUCTURES, 2019, 卷号: 2251, 页码: 81-108
作者:
Hong, Jialin
;
Wang, Xu
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  |  
浏览/下载:111/0
  |  
提交时间:2020/05/24
Stochastic symplectic Runge-Kutta methods for the strong approximation of Hamiltonian systems with additive noise
期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2017, 卷号: 325, 页码: 134-148
作者:
Zhou, Weien
;
Zhang, Jingjing
;
Hong, Jialin
;
Song, Songhe
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  |  
浏览/下载:152/0
  |  
提交时间:2018/07/30
Stochastic differential equations
Stochastic Runge-Kutta methods
Symplectic integrators
Mean-square convergence
Stochastic symplectic and multi-symplectic methods for nonlinear Schrodinger equation with white noise dispersion
期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2017, 卷号: 342, 页码: 267-285
作者:
Cui, Jianbo
;
Hong, Jialin
;
Liu, Zhihui
;
Zhou, Weien
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  |  
浏览/下载:109/0
  |  
提交时间:2018/07/30
Nonlinear Schrodinger equation
White noise dispersion
Stochastic symplectic and multi-symplectic structures
Stochastic symplectic and multi-symplectic schemes
Discontinuous Galerkin methods for Hamiltonian ODEs and PDEs
期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2017, 卷号: 330, 页码: 340-364
作者:
Tang, Wensheng
;
Sun, Yajuan
;
Cai, Wenjun
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  |  
浏览/下载:102/0
  |  
提交时间:2018/07/30
Discontinuous Galerkin method
Hamiltonian systems
Continuous-stage PRK method
Symplectic PRK scheme
Multi-symplectic PRK scheme
Conservation laws
HIGH ORDER CONFORMAL SYMPLECTIC AND ERGODIC SCHEMES FOR THE STOCHASTIC LANGEVIN EQUATION VIA GENERATING FUNCTIONS
期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2017, 卷号: 55, 期号: 6, 页码: 3006-3029
作者:
Hong, Jialin
;
Sun, Liying
;
Wang, Xu
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  |  
浏览/下载:111/0
  |  
提交时间:2018/07/30
stochastic Langevin equation
conformal symplectic scheme
generating function
ergodicity
weak convergence
Construction of Symplectic Runge-Kutta Methods for Stochastic Hamiltonian Systems
期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2017, 卷号: 21, 期号: 1, 页码: 237-270
作者:
Wang, Peng
;
Hong, Jialin
;
Xu, Dongsheng
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  |  
浏览/下载:105/0
  |  
提交时间:2018/07/30
Stochastic differential equation
Stochastic Hamiltonian system
symplectic integration
Runge-Kutta method
order condition
Modified equations for weakly convergent stochastic symplectic schemes via their generating functions
期刊论文
BIT NUMERICAL MATHEMATICS, 2016, 卷号: 56, 期号: 3, 页码: 1131-1162
作者:
Wang, Lijin
;
Hong, Jialin
;
Sun, Liying
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  |  
浏览/下载:83/0
  |  
提交时间:2018/07/30
Stochastic backward error analysis
Stochastic modified equations
Stochastic symplectic methods
Stochastic Hamiltonian systems
Stochastic generating functions