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Globally conservative properties and error estimation of a multi-symplectic scheme for Schrodinger equations with variable coefficients 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2006, 卷号: 56, 期号: 6, 页码: 814-843
作者:  Hong, JL;  Liu, Y;  Munthe-Kaas, H;  Zanna, A
收藏  |  浏览/下载：98/0  |  提交时间：2018/07/30
Schrodinger equations  conservation laws  error estimation  global energy transit  multi-symplectic integrators  
Multi-symplectic Runge-Kutta methods for nonlinear dirac equations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2006, 卷号: 211, 期号: 2, 页码: 448-472
作者:  Hong, JL;  Li, C
收藏  |  浏览/下载：81/0  |  提交时间：2018/07/30
multi-symplectic Runge-Kutta methods  conservation laws  nonlinear dirac equations  
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：72/0  |  提交时间：2018/07/30
Partitioned Runge-Kutta method  multi-symplecticity  Hamiltonian partial differential equation  
The computation of Lyapunov exponents for periodic trajectories 期刊论文
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2005, 卷号: 15, 期号: 12, 页码: 4075-4080
作者:  Hong, JL
收藏  |  浏览/下载：89/0  |  提交时间：2018/07/30
Lyapunov exponent  Floquet theory  Lie group method  periodic trajectory  
Spurious behavior of a symplectic integrator 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2005, 卷号: 50, 期号: 3-4, 页码: 519-528
作者:  Hong, JL;  Liu, HY;  Sun, G
收藏  |  浏览/下载：65/0  |  提交时间：2018/07/30
spurious solutions  Symplectic Euler method  
Optimization of explicit symplectic schemes for time-dependent Schrodinger equations 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2005, 卷号: 50, 期号: 3-4, 页码: 637-644
作者:  Liu, XY;  Ding, PZ;  Hong, JL;  Wang, LJ
收藏  |  浏览/下载：85/0  |  提交时间：2018/07/30
symplectic scheme  wave function  Schrodinger equation  
Multisymplecticity of the centred box scheme for a class of Hamiltonian PDEs and an application to quasi-periodically solitary waves 期刊论文
MATHEMATICAL AND COMPUTER MODELLING, 2004, 卷号: 39, 期号: 9-10, 页码: 1035-1047
作者:  Hong, JL;  Liu, Y
收藏  |  浏览/下载：91/0  |  提交时间：2018/07/30
multisymplecticity  centred box scheme  quasi-periodic KdV equation  Hamiltonian PDEs  nonautonomous  quasi-periodically solitary wave  
A novel numerical approach to simulating nonlinear Schrodinger equations with varying coefficients 期刊论文
APPLIED MATHEMATICS LETTERS, 2003, 卷号: 16, 期号: 5, 页码: 759-765
作者:  Hong, JL;  Liu, Y
收藏  |  浏览/下载：73/0  |  提交时间：2018/07/30
multisymplecticity  nonlinear Schrodinger equation  quasi-periodic solitary waves  
Almost periodic type solutions of some differential equations with piecewise constant argument 期刊论文
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 卷号: 45, 期号: 6, 页码: 661-688
作者:  Hong, JL;  Obaya, R;  Sanz, A
收藏  |  浏览/下载：75/0  |  提交时间：2018/07/30
pseudo-almost periodic solutions  pseudo-almost periodic sequences  generalized pseudo-almost periodic solutions  generalized pseudo-almost periodic sequences  exponential dichotomy  piecewise constant argument  neutral and non-neutral differential equations  
Numerical simulation of periodic and quasiperiodic solutions for nonautonomous Hamiltonian systems via the scheme preserving weak invariance 期刊论文
COMPUTER PHYSICS COMMUNICATIONS, 2000, 卷号: 131, 期号: 1-2, 页码: 86-94
作者:  Hong, JL;  Liu, Y
收藏  |  浏览/下载：85/0  |  提交时间：2018/07/30
weak invariances  symplectic schemes  numerical quasiperiodic solutions  exponential dichotomies  nonautonomous  Hamiltonian systems