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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
作者:  Sun, Geng;  Gan, Siqing;  Liu, Hongyu;  Shang, Zaijiu
收藏  |  浏览/下载：153/0  |  提交时间：2022/04/02
Key words  Runge-Kutta method  symmetric  symplectic  adjoint  high-order  explicit method  
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：115/0  |  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：165/0  |  提交时间：2020/01/10
stochastic Maxwell equations  stochastic Runge-Kutta semidiscretization  stochastic symplecticity  mean-square convergence order  
NUMERICAL ANALYSIS ON ERGODIC LIMIT OF APPROXIMATIONS FOR STOCHASTIC NLS EQUATION VIA MULTI-SYMPLECTIC SCHEME 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2017, 卷号: 55, 期号: 1, 页码: 305-327
作者:  Hong, Jialin;  Wang, Xu;  Zhang, Liying
收藏  |  浏览/下载：110/0  |  提交时间：2018/07/30
stochastic Schriidinger equation  multiplicative noise  unique ergodicity  multisymplectic scheme  weak error  
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
作者:  Chen, Chuchu;  Hong, Jialin
收藏  |  浏览/下载：107/0  |  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  
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：111/0  |  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：114/0  |  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：114/0  |  提交时间：2018/07/30
predictor-corrector method  linear stochastic oscillator  symplecticity  stochastic Hamiltonian system  second moment  mean-square convergence  
Explicit multi-symplectic methods for Hamiltonian wave equations 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2007, 卷号: 2, 期号: 4, 页码: 662-683
作者:  Hong, Jialin;  Jiang, Shanshan;  Li, Chun;  Liu, Hongyu
收藏  |  浏览/下载：116/0  |  提交时间：2018/07/30
Hamiltonian wave equations  multi-symplectic integration  symplectic Runge-Kutta methods  symplectic Runge-Kutta-Nystrom methods  
Quadratic invariants and multi-symplecticity of partitioned Runge-Kutta methods for Hamiltonian PDEs 期刊论文
NUMERISCHE MATHEMATIK, 2007, 卷号: 106, 期号: 4, 页码: 691-715
作者:  Sun, Yajuan
收藏  |  浏览/下载：96/0  |  提交时间：2018/07/30