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VPNets: Volume-preserving neural networks for learning source-free dynamics 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2022, 卷号: 416, 页码: 12
Authors:  Zhu, Aiqing;  Zhu, Beibei;  Zhang, Jiawei;  Tang, Yifa;  Liu, Jian
Favorite  |  View/Download:22/0  |  Submit date:2023/02/07
Deep learning  Neural networks  Discovery of dynamics  Source-free dynamics  Volume-preserving  
Poisson Integrators Based on Splitting Method for Poisson Systems 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2022, 卷号: 32, 期号: 4, 页码: 1129-1155
Authors:  Zhu, Beibei;  Ji, Lun;  Zhu, Aiqing;  Tang, Yifa
Favorite  |  View/Download:14/0  |  Submit date:2023/02/07
Poisson systems  Poisson integrators  splitting method  energy conservation  
Energy-preserving methods for guiding center system based on averaged vector field 期刊论文
PHYSICS OF PLASMAS, 2022, 卷号: 29, 期号: 3, 页码: 14
Authors:  Zhu, Beibei;  Tang, Yifa;  Liu, Jian
Favorite  |  View/Download:98/0  |  Submit date:2022/04/29
Spectrally accurate space-time solution of Manakov systems 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2020, 卷号: 377, 页码: 20
Authors:  Barletti, Luigi;  Brugnano, Luigi;  Tang, Yifa;  Zhu, Beibei
Favorite  |  View/Download:109/0  |  Submit date:2020/06/30
Hamiltonian PDEs  Manakov system  Energy-conserving methods  Hamiltonian Boundary Value Methods  HBVMs  Spectral methods  
High-order stroboscopic averaging methods for highly oscillatory delay problems 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2020, 卷号: 152, 页码: 466-479
Authors:  Calvo, M. P.;  Sanz-Serna, J. M.;  Zhu, Beibei
Favorite  |  View/Download:98/0  |  Submit date:2020/05/24
Delay differential equations  Stroboscopic averaging  Highly oscillatory problems  
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
Authors:  Zhu, Beibei;  Tang, Yifa;  Zhang, Ruili;  Zhang, Yihao
Favorite  |  View/Download:102/0  |  Submit date:2020/01/10
Nonlinear Schrodinger equation  Ablowitz-ladik model  Symplectic methods  K-symplectic methods  Invariants  
A stroboscopic averaging algorithm for highly oscillatory delay problems 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2019, 卷号: 39, 期号: 3, 页码: 1110-1133
Authors:  Sanz-Serna, J. M.;  Zhu, Beibei
Favorite  |  View/Download:125/0  |  Submit date:2020/01/10
delay differential equations  stroboscopic averaging  highly oscillatory problems  
Bogdanov-Takens resonance in time-delayed systems 期刊论文
NONLINEAR DYNAMICS, 2018, 卷号: 91, 期号: 3, 页码: 1939-1947
Authors:  Coccolo, Mattia;  Zhu, BeiBei;  Sanjuan, Miguel A. F.;  Sanz-Serna, Jesus M.
Favorite  |  View/Download:113/0  |  Submit date:2018/07/30
Nonlinear oscillations  Delay systems  Resonance  
A family of new explicit, revertible, volume-preserving numerical schemes for the system of Lorentz force 期刊论文
PHYSICS OF PLASMAS, 2016, 卷号: 23, 期号: 12, 页码: 8
Authors:  Tu, Xiongbiao;  Zhu, Beibei;  Tang, Yifa;  Qin, Hong;  Liu, Jian;  Zhang, Ruili
Favorite  |  View/Download:83/0  |  Submit date:2018/07/30
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
Authors:  Zhu, Beibei;  Zhang, Ruili;  Tang, Yifa;  Tu, Xiongbiao;  Zhao, Yue
Favorite  |  View/Download:91/0  |  Submit date:2018/07/30
K-symplectic methods  Splitting algorithms  Gauss' methods  Generating function methods