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Symmetric-Adjoint and Symplectic-Adjoint Runge-Kutta Methods and Their Applications
期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2022, 页码: 32
作者:
Sun, Geng
;
Gan, Siqing
;
Liu, Hongyu
;
Shang, Zaijiu
收藏
  |  
浏览/下载:9/0
  |  
提交时间:2022/04/02
Key words
Runge-Kutta method
symmetric
symplectic
adjoint
high-order
explicit method
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
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  |  
浏览/下载:12/0
  |  
提交时间:2022/04/02
Stochastic Lotka-Volterra predator-prey model
Positivity
Stochastic symplecticity
Structure-preserving methods
Convergence order conditions
Energy and quadratic invariants preserving (EQUIP) multi-symplectic methods for Hamiltonian wave equations
期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2020, 卷号: 418, 页码: 18
作者:
Chen, Chuchu
;
Hong, Jialin
;
Sim, Chol
;
Sonwu, Kwang
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  |  
浏览/下载:27/0
  |  
提交时间:2020/10/12
Hamiltonian wave equations
Energy preservation
EQUIP multi-symplectic methods
High order symplectic integrators based on continuous-stage Runge-Kutta-Nystrom methods
期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2019, 卷号: 361, 页码: 670-679
作者:
Tang, Wensheng
;
Sun, Yajuan
;
Zhang, Jingjing
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  |  
浏览/下载:59/0
  |  
提交时间:2020/01/10
Continuous-stage Runge-Kutta-Nystrom methods
Hamiltonian systems
Symplectic integrators
Legendre polynomial expansion
Simplifying assumptions
Symplectic simulation of dark solitons motion for nonlinear Schrodinger equation
期刊论文
NUMERICAL ALGORITHMS, 2019, 卷号: 81, 期号: 4, 页码: 1485-1503
作者:
Zhu, Beibei
;
Tang, Yifa
;
Zhang, Ruili
;
Zhang, Yihao
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  |  
浏览/下载:53/0
  |  
提交时间:2020/01/10
Nonlinear Schrodinger equation
Ablowitz-ladik model
Symplectic methods
K-symplectic methods
Invariants
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
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  |  
浏览/下载:5/0
  |  
提交时间:2019/12/13
Symplectic Runge-Kutta methods for Hamiltonian systems driven by Gaussian rough paths
期刊论文
APPLIED NUMERICAL MATHEMATICS, 2018, 卷号: 129, 页码: 120-136
作者:
Hong, Jialin
;
Huang, Chuying
;
Wang, Xu
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  |  
浏览/下载:19/0
  |  
提交时间:2018/07/30
Rough path
Hamiltonian system
Symplectic Runge-Kutta method
Implicit method
Pathwlse convergence rate
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
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  |  
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
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