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Positivity-preserving symplectic methods for the stochastic Lotka-Volterra predator-prey model
期刊论文
BIT NUMERICAL MATHEMATICS, 2021, 页码: 28
作者:
Hong, Jialin
;
Ji, Lihai
;
Wang, Xu
;
Zhang, Jingjing
收藏
  |  
浏览/下载:10/0
  |  
提交时间:2022/04/02
Stochastic Lotka-Volterra predator-prey model
Positivity
Stochastic symplecticity
Structure-preserving methods
Convergence order conditions
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:18/0
  |  
提交时间:2021/04/26
Stochastic Poisson systems
Poisson structure
Casimir functions
Poisson integrators
symplectic integrators
generating functions
stochastic rigid body system
ASYMPTOTICALLY-PRESERVING LARGE DEVIATIONS PRINCIPLES BY STOCHASTIC SYMPLECTIC METHODS FOR A LINEAR STOCHASTIC OSCILLATOR
期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2021, 卷号: 59, 期号: 1, 页码: 32-59
作者:
Chen, Chuchu
;
Hong, Jialing
;
Jin, Diancong
;
Sun, Liying
收藏
  |  
浏览/下载:31/0
  |  
提交时间:2021/04/26
stochastic symplectic methods
superiority
large deviations principle
rate function
asymptotical preservation
Arbitrary High-order EQUIP Methods for Stochastic Canonical Hamiltonian Systems
期刊论文
TAIWANESE JOURNAL OF MATHEMATICS, 2019, 卷号: 23, 期号: 3, 页码: 703-725
作者:
Li, Xiuyan
;
Zhang, Chiping
;
Ma, Qiang
;
Ding, Xiaohua
收藏
  |  
浏览/下载:9/0
  |  
提交时间:2019/12/11
stochastic canonical Hamiltonian systems
EQUIP methods
symplectic
methods
energy-preserving methods
mean-square convergence
High-order stochastic symplectic partitioned Runge-Kutta methods for stochastic Hamiltonian systems with additive noise
期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2019, 卷号: Vol.346, 页码: 575-593
作者:
Han, Minggang
;
Ma, Qiang
;
Ding, Xiaohua
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  |  
浏览/下载:11/0
  |  
提交时间:2019/12/17
Stochastic
Hamiltonian
system
Stochastic
partitioned
Runge-Kutta
method
Symplectic
integrator
High-order stochastic symplectic partitioned Runge-Kutta methods for stochastic Hamiltonian systems with additive noise.
期刊论文
Appl. Math. Comput., 2019, 卷号: Vol.346, 页码: 575-593
作者:
Han, Minggang
;
Ma, Qiang
;
Ding, Xiaohua
收藏
  |  
浏览/下载:5/0
  |  
提交时间:2019/12/13
Explicit pseudo-symplectic methods for stochastic Hamiltonian systems
期刊论文
BIT NUMERICAL MATHEMATICS, 2018, 卷号: 58, 期号: 1, 页码: 163-178
作者:
Niu, Xinyan
;
Cui, Jianbo
;
Hong, Jialin
;
Liu, Zhihui
收藏
  |  
浏览/下载:25/0
  |  
提交时间:2018/07/30
Stochastic Hamiltonian system
Pseudo-symplectic method
Explicit Runge-Kutta method
Explicit pseudo-symplectic methods for stochastic Hamiltonian systems
期刊论文
BIT NUMERICAL MATHEMATICS, 2018, 卷号: 58, 期号: 1, 页码: 163-178
作者:
Niu, Xinyan
;
Cui, Jianbo
;
Hong, Jialin
;
Liu, Zhihui
收藏
  |  
浏览/下载:3/0
  |  
提交时间:2019/12/11
Stochastic Hamiltonian system
Pseudo-symplectic method
Explicit
Runge-Kutta method
Explicit pseudo-symplectic methods for stochastic Hamiltonian systems
期刊论文
BIT NUMERICAL MATHEMATICS, 2018, 卷号: 58, 期号: 1, 页码: 163
作者:
Niu, Xinyan
;
Cui, Jianbo
;
Hong, Jialin
;
Liu, Zhihui
收藏
  |  
浏览/下载:6/0
  |  
提交时间:2019/12/31
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:14/0
  |  
提交时间:2018/07/30
Stochastic differential equations
Stochastic Runge-Kutta methods
Symplectic integrators
Mean-square convergence
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