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Symmetric-Adjoint and Symplectic-Adjoint Runge-Kutta Methods and Their Applications
期刊论文
OAI收割
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:31/0
  |  
提交时间:2022/04/02
Key words
Runge-Kutta method
symmetric
symplectic
adjoint
high-order
explicit method
A UNIFORM SPECTRAL ANALYSIS FOR A PRECONDITIONED ALL-AT-ONCE SYSTEM FROM FIRST-ORDER AND SECOND-ORDER EVOLUTIONARY PROBLEMS
期刊论文
OAI收割
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2022, 卷号: 43, 期号: 3, 页码: 1331-1353
作者:
Wu, Shu-Lin
;
Zhou, Tao
;
Zhou, Zhi
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收藏
  |  
浏览/下载:19/0
  |  
提交时间:2023/02/07
time-parallel algorithm
diagonalization technique
alpha-circulant preconditioner
stability
spectral analysis
Runge-Kutta method
two-step methods
Optimal rate of convergence for two classes of schemes to stochastic differential equations driven by fractional Brownian motions
期刊论文
OAI收割
IMA JOURNAL OF NUMERICAL ANALYSIS, 2021, 卷号: 41, 期号: 2, 页码: 1608-1638
作者:
Hong, Jialin
;
Huang, Chuying
;
Wang, Xu
  |  
收藏
  |  
浏览/下载:39/0
  |  
提交时间:2021/10/26
fractional Brownian motion
strong convergence rate
Runge-Kutta method
simplified step-N Euler scheme
Symplectic Runge-Kutta methods for Hamiltonian systems driven by Gaussian rough paths
期刊论文
OAI收割
APPLIED NUMERICAL MATHEMATICS, 2018, 卷号: 129, 页码: 120-136
作者:
Hong, Jialin
;
Huang, Chuying
;
Wang, Xu
  |  
收藏
  |  
浏览/下载:23/0
  |  
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
OAI收割
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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收藏
  |  
浏览/下载:30/0
  |  
提交时间:2018/07/30
Stochastic Hamiltonian system
Pseudo-symplectic method
Explicit Runge-Kutta method
SYMPLECTIC RUNGE-KUTTA METHODS OF HIGH ORDER BASED ON W-TRANSFORMATION
期刊论文
OAI收割
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2017, 卷号: 7, 期号: 3, 页码: 1185-1199
作者:
Xia, Kaifeng
;
Cong, Yuhao
;
Sun, Geng
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收藏
  |  
浏览/下载:13/0
  |  
提交时间:2018/07/30
Runge-Kutta method
symplectic and algebraically stable method
W-transformation
Construction of Symplectic Runge-Kutta Methods for Stochastic Hamiltonian Systems
期刊论文
OAI收割
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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收藏
  |  
浏览/下载:21/0
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提交时间:2018/07/30
Stochastic differential equation
Stochastic Hamiltonian system
symplectic integration
Runge-Kutta method
order condition
Finite water depth effect on wave-body problems solved by Rankine source method
期刊论文
OAI收割
Journal of Ocean University of China, 2017, 卷号: 16, 期号: 2, 页码: 191-199
作者:
Feng, Aichun
;
Tang, Peng
;
You, Yunxiang
;
Liu KZ(刘开周)
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收藏
  |  
浏览/下载:16/0
  |  
提交时间:2017/03/26
Finite Water Depth
Rankine Source Method
Continuous Source Panel
Runge-kutta
Energy evolution of multi-symplectic methods for Maxwell equations with perfectly matched layer boundary
期刊论文
OAI收割
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2016, 卷号: 439, 期号: 1, 页码: 256-270
作者:
Hong, Jialin
;
Ji, Lihai
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收藏
  |  
浏览/下载:19/0
  |  
提交时间:2018/07/30
Energy evolution
Maxwell equations
Perfectly matched layer
Multi-symplectic Yee method
Multi-symplectic Runge-Kutta methods
SYMPLECTIC RUNGE-KUTTA SEMIDISCRETIZATION FOR STOCHASTIC SCHRODINGER EQUATION
期刊论文
OAI收割
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2016, 卷号: 54, 期号: 4, 页码: 2569-2593
作者:
Chen, Chuchu
;
Hong, Jialin
  |  
收藏
  |  
浏览/下载:21/0
  |  
提交时间:2018/07/30
stochastic Schrodinger equation
infinite-dimensional stochastic Hamiltonian system
symplectic structure
symplectic Runge-Kutta method
semidiscretization
mean-square convergence order