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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：141/0  |  提交时间：2022/04/02
Stochastic Lotka-Volterra predator-prey model  Positivity  Stochastic symplecticity  Structure-preserving methods  Convergence order conditions  
RUNGE-KUTTA SEMIDISCRETIZATIONS FOR STOCHASTIC MAXWELL EQUATIONS WITH ADDITIVE NOISE 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2019, 卷号: 57, 期号: 2, 页码: 702-727
作者:  Chen, Chuchu;  Hong, Jialin;  Ji, Lihai
收藏  |  浏览/下载：193/0  |  提交时间：2020/01/10
stochastic Maxwell equations  stochastic Runge-Kutta semidiscretization  stochastic symplecticity  mean-square convergence order  
A WELL-BALANCED SYMPLECTICITY-PRESERVING GAS-KINETIC SCHEME FOR HYDRODYNAMIC EQUATIONS UNDER GRAVITATIONAL FIELD 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2011, 卷号: 33, 期号: 5, 页码: 2356-2381
作者:  Luo, Jun;  Xu, Kun;  Liu, Na
收藏  |  浏览/下载：136/0  |  提交时间：2018/07/30
gas-kinetic scheme  hydrodynamic equations  gravitational potential  symplecticity preserving  well-balanced scheme  
Multi-symplectic Birkhoffian structure for PDEs with dissipation terms 期刊论文
PHYSICS LETTERS A, 2010, 卷号: 374, 期号: 24, 页码: 2410-2416
作者:  Su, Hongling;  Qin, Mengzhao;  Wang, Yushun;  Scherer, Rudolf
收藏  |  浏览/下载：145/0  |  提交时间：2018/07/30
Self-adjoint system  PDEs with dissipation term  Birkhoffian structure  Birkhoffian multi-symplectic integrator  Conservation of multi-symplecticity  Discrete variational principle  
Predictor-corrector methods for a linear stochastic oscillator with additive noise 期刊论文
MATHEMATICAL AND COMPUTER MODELLING, 2007, 卷号: 46, 期号: 5-6, 页码: 738-764
作者:  Hong, Jialin;  Scherer, Rudolf;  Wang, Lijin
收藏  |  浏览/下载：138/0  |  提交时间：2018/07/30
predictor-corrector method  linear stochastic oscillator  symplecticity  stochastic Hamiltonian system  second moment  mean-square convergence  
Conjugate symplecticity of second-order linear multi-step methods 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 卷号: 203, 期号: 1, 页码: 6-14
作者:  Feng, Quan-Dong;  Jiao, Yan-Dong;  Tang, Yi-Fa
收藏  |  浏览/下载：141/0  |  提交时间：2018/07/30
linear multi-step method  step-transition operator  B-series  conjugate relation  symplecticity  
A note on symplecticity of step-transition mappings for multi-step methods 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2006, 卷号: 196, 期号: 2, 页码: 474-477
作者:  Dai, Gui-Dong;  Tang, Yi-Fa
收藏  |  浏览/下载：142/0  |  提交时间：2018/07/30
linear multi-step method  infinitesimally symplectic  symplecticity  general linear method  
The multi-symplecticity of partitioned Runge-Kutta methods for Hamiltonian PDES 期刊论文
MATHEMATICS OF COMPUTATION, 2006, 卷号: 75, 期号: 253, 页码: 167-181
作者:  Hong, JL;  Liu, HY;  Sun, G
收藏  |  浏览/下载：93/0  |  提交时间：2018/07/30
Partitioned Runge-Kutta method  multi-symplecticity  Hamiltonian partial differential equation  
Order properties of symplectic Runge-Kutta-Nystrom methods 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2004, 卷号: 47, 期号: 4-5, 页码: 569-582
作者:  Xiao, AG;  Tang, YF
收藏  |  浏览/下载：100/0  |  提交时间：2018/07/30
Runge-Kutta-Nystrom method  Hamiltonian system  symplecticity  order condition  
Symplectic properties of multistep Runge-Kutta methods 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2002, 卷号: 44, 期号: 10-11, 页码: 1329-1338
作者:  Xiao, AG;  Tang, YF
收藏  |  浏览/下载：95/0  |  提交时间：2018/07/30
Hamiltonian system  multistep Runge-Kutta method  symplecticity