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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:125/0  |  提交时间:2022/04/02
Stochastic Lotka-Volterra predator-prey model  Positivity  Stochastic symplecticity  Structure-preserving methods  Convergence order conditions  
New high order symplectic integrators via generating functions with its application in many-body problem 期刊论文
BIT NUMERICAL MATHEMATICS, 2019, 页码: 27
作者:  Tu, Xiongbiao;  Murua, Ander;  Tang, Yifa
收藏  |  浏览/下载:173/0  |  提交时间:2020/05/24
High order  Separable Hamiltonian  Quadratic  
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:186/0  |  提交时间:2018/07/30
Stochastic Hamiltonian system  Pseudo-symplectic method  Explicit Runge-Kutta method  
Modified equations for weakly convergent stochastic symplectic schemes via their generating functions 期刊论文
BIT NUMERICAL MATHEMATICS, 2016, 卷号: 56, 期号: 3, 页码: 1131-1162
作者:  Wang, Lijin;  Hong, Jialin;  Sun, Liying
收藏  |  浏览/下载:91/0  |  提交时间:2018/07/30
Stochastic backward error analysis  Stochastic modified equations  Stochastic symplectic methods  Stochastic Hamiltonian systems  Stochastic generating functions  
Linearization-preserving self-adjoint and symplectic integrators 期刊论文
BIT NUMERICAL MATHEMATICS, 2009, 卷号: 49, 期号: 1, 页码: 177-197
作者:  McLachlan, R. I.;  Quispel, G. R. W.;  Tse, P. S. P.
收藏  |  浏览/下载:116/0  |  提交时间:2018/07/30
Hamiltonian systems  Linearization-preserving methods  Symplectic integrators