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Solving the Vlasov-Maxwell equations using Hamiltonian splitting 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2019, 卷号: 396, 页码: 381-399
Authors:  Li, Yingzhe;  He, Yang;  Sun, Yajuan;  Niesen, Jitse;  Qin, Hong;  Liu, Jian
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Vlasov-Maxwell system  Poisson bracket  Hamiltonian splitting method  
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
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Nonlinear Schrodinger equation  Ablowitz-ladik model  Symplectic methods  K-symplectic methods  Invariants  
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
Authors:  Anco, Stephen C.;  Chang, Xiangke;  Szmigielski, Jacek
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inverse problems  Pade approximations  peakons  tri-Hamiltonian  weak solutions  
Explicit K-symplectic algorithms for charged particle dynamics 期刊论文
PHYSICS LETTERS A, 2017, 卷号: 381, 期号: 6, 页码: 568-573
Authors:  He, Yang;  Zhou, Zhaoqi;  Sun, Yajuan;  Liu, Jian;  Qin, Hong
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Lorentz force equation  K-symplectic integrator  Splitting method  Hamiltonian splitting  Energy preservation  
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
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K-symplectic methods  Splitting algorithms  Gauss' methods  Generating function methods  
Hamiltonian particle-in-cell methods for Vlasov-Maxwell equations 期刊论文
PHYSICS OF PLASMAS, 2016, 卷号: 23, 期号: 9, 页码: 9
Authors:  He, Yang;  Sun, Yajuan;  Qin, Hong;  Liu, Jian
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High-order compact splitting multisymplectic method for the coupled nonlinear Schrodinger equations 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 卷号: 61, 期号: 2, 页码: 319-333
Authors:  Ma, Yuanping;  Kong, Linghua;  Hong, Jialin;  Cao, Ying
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High-order compact  Coupled nonlinear Schrodinger equation  Splitting multisymplectic integrator  Conservation law  
Explicit Symplectic Methods for the Nonlinear Schrodinger Equation 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2009, 卷号: 6, 期号: 3, 页码: 639-654
Authors:  Guan, Hua;  Jiao, Yandong;  Liu, Ju;  Tang, Yifa
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Explicit symplectic method  L-L-N splitting  nonlinear Schrodinger equation