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中国科学院数学与系统科学研究院机构知识库
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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
Authors:
Sun, Geng
;
Gan, Siqing
;
Liu, Hongyu
;
Shang, Zaijiu
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View/Download:18/0
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Submit date:2022/04/02
Key words
Runge-Kutta method
symmetric
symplectic
adjoint
high-order
explicit method
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
Authors:
Hong, Jialin
;
Huang, Chuying
;
Wang, Xu
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View/Download:50/0
  |  
Submit date: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
Authors:
Niu, Xinyan
;
Cui, Jianbo
;
Hong, Jialin
;
Liu, Zhihui
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View/Download:58/0
  |  
Submit date: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
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2017, 卷号: 7, 期号: 3, 页码: 1185-1199
Authors:
Xia, Kaifeng
;
Cong, Yuhao
;
Sun, Geng
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View/Download:37/0
  |  
Submit date: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
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2017, 卷号: 21, 期号: 1, 页码: 237-270
Authors:
Wang, Peng
;
Hong, Jialin
;
Xu, Dongsheng
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Submit date:2018/07/30
Stochastic differential equation
Stochastic Hamiltonian system
symplectic integration
Runge-Kutta method
order condition
Energy evolution of multi-symplectic methods for Maxwell equations with perfectly matched layer boundary
期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2016, 卷号: 439, 期号: 1, 页码: 256-270
Authors:
Hong, Jialin
;
Ji, Lihai
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  |  
Submit date: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
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2016, 卷号: 54, 期号: 4, 页码: 2569-2593
Authors:
Chen, Chuchu
;
Hong, Jialin
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  |  
Submit date:2018/07/30
stochastic Schrodinger equation
infinite-dimensional stochastic Hamiltonian system
symplectic structure
symplectic Runge-Kutta method
semidiscretization
mean-square convergence order
Preservation of stability properties near fixed points of linear Hamiltonian systems by symplectic integrators
期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2011, 卷号: 217, 期号: 13, 页码: 6105-6114
Authors:
Ding, Xiaohua
;
Liu, Hongyu
;
Shang, Zaijiu
;
Sun, Geng
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  |  
Submit date:2018/07/30
Symplectic Runge-Kutta method
Symplectic partitioned Runge-Kutta method
Equilibrium structure
Composition method
Stability
Explicit multi-symplectic methods for Klein-Gordon-Schrodinger equations
期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2009, 卷号: 228, 期号: 9, 页码: 3517-3532
Authors:
Hong, Jialin
;
Jiang, Shanshan
;
Li, Chun
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View/Download:31/0
  |  
Submit date:2018/07/30
Klein-Gordon-Schrodinger equation
Multi-symplectic integrator
Runge-Kutta-Nystrom method
Runge-Kutta-type method
Explicit
Efficient symplectic Runge-Kutta methods
期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2006, 卷号: 172, 期号: 2, 页码: 908-924
Authors:
Chan, RPK
;
Liu, HY
;
Sun, G
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View/Download:24/0
  |  
Submit date:2018/07/30
Runge-Kutta method
efficiency
real eigenvalues
symplectic
A-stability
algebraically stable