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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
作者:
Zhu, Beibei
;
Tang, Yifa
;
Zhang, Ruili
;
Zhang, Yihao
收藏
  |  
浏览/下载:53/0
  |  
提交时间:2020/01/10
Nonlinear Schrodinger equation
Ablowitz-ladik model
Symplectic methods
K-symplectic methods
Invariants
CONVERGENCE ANALYSIS OF A SYMPLECTIC SEMI-DISCRETIZATION FOR STOCHASTIC NLS EQUATION WITH QUADRATIC POTENTIAL
期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2019, 卷号: 24, 期号: 8, 页码: 4295-4315
作者:
Hong, Jialin
;
Miao, Lijun
;
Zhang, Liying
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  |  
浏览/下载:40/0
  |  
提交时间:2020/01/10
Stochastic nonlinear Schrodinger equation
quadratic potential
additive noise
stochastic symplectic scheme
convergence analysis
Symplectic Runge-Kutta methods for Hamiltonian systems driven by Gaussian rough paths
期刊论文
APPLIED NUMERICAL MATHEMATICS, 2018, 卷号: 129, 页码: 120-136
作者:
Hong, Jialin
;
Huang, Chuying
;
Wang, Xu
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  |  
浏览/下载:19/0
  |  
提交时间:2018/07/30
Rough path
Hamiltonian system
Symplectic Runge-Kutta method
Implicit method
Pathwlse convergence rate
Multiscale numerical algorithms for elastic wave equations with rapidly oscillating coefficients
期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2018, 卷号: 336, 页码: 16-35
作者:
Dong, Qiao-li[1]
;
Cao, Li-qun[2]
;
Wang, Xin[3]
;
Huang, Ji-zu[4]
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  |  
浏览/下载:4/0
  |  
提交时间:2019/04/22
Homogenization
Multiscale asymptotic expansion
Elastic wave equations with rapidly oscillating coefficients
Finite element method
Symplectic geometric scheme
Symplectic pseudospectral time-domain scheme for solving time-dependent schrödinger equation
期刊论文
Progress In Electromagnetics Research M, 2018, 卷号: Vol.66, 页码: 109-118
作者:
Wu, Xianliang
;
Hu, Jinhua
;
Kuang, Xiaojing
;
Sha, Wei E. I.
;
Shen, Jing
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  |  
浏览/下载:8/0
  |  
提交时间:2019/04/24
Symplectic Pseudospectral Time-Domain Scheme for Solving Time-Dependent Schrodinger Equation
期刊论文
Physics, 2018
作者:
Xiaojing Kuang
;
Wei E. I. Sha
;
Xianliang Wu
;
Jinhua Hu
;
Zhixiang Huang
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  |  
浏览/下载:8/0
  |  
提交时间:2019/04/24
A High-Order Symplectic FDTD Scheme for the Maxwell-Schrodinger System
期刊论文
IEEE JOURNAL OF QUANTUM ELECTRONICS, 2018, 卷号: 54, 期号: 1
作者:
Xiang, Chen
;
Kong, Fanming
;
Li, Kang
;
Liu, Meng
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浏览/下载:3/0
  |  
提交时间:2019/12/11
High-order FDTD
Maxwell-Schrodinger system
symplectic method
scalar
and vector potentials
Optimal error estimate of a compact scheme for nonlinear Schrodinger equation
期刊论文
APPLIED NUMERICAL MATHEMATICS, 2017, 卷号: 120, 页码: 68-81
作者:
Hong, Jialin
;
Ji, Lihai
;
Kong, Linghua
;
Wang, Tingchun
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  |  
浏览/下载:26/0
  |  
提交时间:2018/07/30
Nonlinear Schrodinger equation
Compact scheme
Symplectic scheme
Energy conservation
Optimal error estimate
Higher-order triangular spectral element method with optimized cubature points for seismic wavefield modeling
期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2017, 卷号: 336, 页码: 458-480
作者:
Liu, Youshan
;
Teng, Jiwen
;
Xu, Tao
;
Badal, Jose
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  |  
浏览/下载:19/0
  |  
提交时间:2019/10/14
Triangular spectral element method
Dispersion relation
Optimized cubature points
Positive integration weights
Courant-Friedrichs-Lewy numbers
Discontinuous Galerkin methods for Hamiltonian ODEs and PDEs
期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2017, 卷号: 330, 页码: 340-364
作者:
Tang, Wensheng
;
Sun, Yajuan
;
Cai, Wenjun
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  |  
浏览/下载:17/0
  |  
提交时间:2018/07/30
Discontinuous Galerkin method
Hamiltonian systems
Continuous-stage PRK method
Symplectic PRK scheme
Multi-symplectic PRK scheme
Conservation laws
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