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Highly Efficient Numerical Integrator for the Circular Restricted Three-Body Problem 期刊论文
SYMMETRY-BASEL, 2022, 卷号: 14, 期号: 9, 页码: 9
作者:  Tu, Xiongbiao;  Wang, Qiao;  Tang, Yifa
收藏  |  浏览/下载：49/0  |  提交时间：2023/02/07
high efficiency  symplectic  restricted three-body  
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：135/0  |  提交时间：2022/04/02
Key words  Runge-Kutta method  symmetric  symplectic  adjoint  high-order  explicit method  
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
收藏  |  浏览/下载：167/0  |  提交时间：2020/10/12
Hamiltonian wave equations  Energy preservation  EQUIP multi-symplectic methods  
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
收藏  |  浏览/下载：127/0  |  提交时间：2020/01/10
Nonlinear Schrodinger equation  Ablowitz-ladik model  Symplectic methods  K-symplectic methods  Invariants  
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
收藏  |  浏览/下载：141/0  |  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
收藏  |  浏览/下载：160/0  |  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
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
收藏  |  浏览/下载：111/0  |  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
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2017, 卷号: 21, 期号: 1, 页码: 237-270
作者:  Wang, Peng;  Hong, Jialin;  Xu, Dongsheng
收藏  |  浏览/下载：101/0  |  提交时间：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
作者:  Hong, Jialin;  Ji, Lihai
收藏  |  浏览/下载：119/0  |  提交时间：2018/07/30
Energy evolution  Maxwell equations  Perfectly matched layer  Multi-symplectic Yee method  Multi-symplectic Runge-Kutta methods  
Convergence analysis of the formal energies of symplectic methods for Hamiltonian systems 期刊论文
SCIENCE CHINA-MATHEMATICS, 2016, 卷号: 59, 期号: 2, 页码: 379-396
作者:  Zhang RuiLi;  Tang YiFa;  Zhu BeiBei;  Tu XiongBiao;  Zhao Yue
收藏  |  浏览/下载：116/0  |  提交时间：2018/07/30
convergence analysis  formal energy  symplectic method  Hamiltonian system  bushy tree