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A novel multi-agent model for chemical self-assembly 期刊论文
AUTOMATICA, 2021, 卷号: 129, 页码: 7
作者:  Ning, Zheng;  Chen, Ge
收藏  |  浏览/下载：133/0  |  提交时间：2021/10/26
Self-assembly  Multi-agent systems  Optimal control  Noise  
SympNets: Intrinsic structure-preserving symplectic networks for identifying Hamiltonian systems 期刊论文
NEURAL NETWORKS, 2020, 卷号: 132, 页码: 166-179
作者:  Jin, Pengzhan;  Zhang, Zhen;  Zhu, Aiqing;  Tang, Yifa;  Karniadakis, George Em
收藏  |  浏览/下载：142/0  |  提交时间：2021/04/26
Deep learning  Physics-informed  Dynamical systems  Hamiltonian systems  Symplectic maps  Symplectic integrators  
Drift-preserving numerical integrators for stochastic Hamiltonian systems 期刊论文
ADVANCES IN COMPUTATIONAL MATHEMATICS, 2020, 卷号: 46, 期号: 2, 页码: 22
作者:  Chen, Chuchu;  Cohen, David;  D'Ambrosio, Raffaele;  Lang, Annika
收藏  |  浏览/下载：152/0  |  提交时间：2020/05/24
Stochastic differential equations  Stochastic Hamiltonian systems  Energy  Trace formula  Numerical schemes  Strong convergence  Weak convergence  Multilevel Monte Carlo  
Global weak solutions to Landau-Lifshitz equations into compact Lie algebras 期刊论文
FRONTIERS OF MATHEMATICS IN CHINA, 2019, 页码: 34
作者:  Jia, Zonglin;  Wang, Youde
收藏  |  浏览/下载：167/0  |  提交时间：2020/05/24
Landau-Lifshitz (LL) equations  Lie algebra  test functions  
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：155/0  |  提交时间：2020/05/24
High order  Separable Hamiltonian  Quadratic  
Energy-conserving Hamiltonian Boundary Value Methods for the numerical solution of the Korteweg-de Vries equation 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2019, 卷号: 351, 页码: 117-135
作者:  Brugnano, Luigi;  Gurioli, Gianmarco;  Sun, Yajuan
收藏  |  浏览/下载：189/0  |  提交时间：2020/01/10
Korteweg-de Vries equation  Hamiltonian partial differential equations  Hamiltonian problems  Energy-conserving methods  Hamiltonian boundary value methods  HBVMs  
The dynamics of conservative peakons in a family of U(1)-invariant integrable equations of NLS-Hirota type 期刊论文
STUDIES IN APPLIED MATHEMATICS, 2018, 卷号: 141, 期号: 4, 页码: 680-713
作者:  Anco, Stephen C.;  Chang, Xiangke;  Szmigielski, Jacek
收藏  |  浏览/下载：142/0  |  提交时间：2019/01/11
inverse problems  Pade approximations  peakons  tri-Hamiltonian  weak solutions  
Splitting K-symplectic methods for non-canonical separable Hamiltonian problems 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2016, 卷号: 322, 页码: 387-399
作者:  Zhu, Beibei;  Zhang, Ruili;  Tang, Yifa;  Tu, Xiongbiao;  Zhao, Yue
收藏  |  浏览/下载：118/0  |  提交时间：2018/07/30
K-symplectic methods  Splitting algorithms  Gauss' methods  Generating function methods  
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
作者:  Ding, Xiaohua;  Liu, Hongyu;  Shang, Zaijiu;  Sun, Geng
收藏  |  浏览/下载：100/0  |  提交时间：2018/07/30
Symplectic Runge-Kutta method  Symplectic partitioned Runge-Kutta method  Equilibrium structure  Composition method  Stability  
Existence and exponential decay of homoclinics in a nonperiodic superquadratic Hamiltonian system 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2009, 卷号: 246, 期号: 7, 页码: 2829-2848
作者:  Ding, Yanheng;  Lee, Cheng
收藏  |  浏览/下载：80/0  |  提交时间：2018/07/30
Homoclinics  Exponential decay  Nonperiodic superquadratic Hamiltonian