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High order symplectic integrators based on continuous-stage Runge-Kutta-Nystrom methods 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2019, 卷号: 361, 页码: 670-679
Authors:  Tang, Wensheng;  Sun, Yajuan;  Zhang, Jingjing
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Continuous-stage Runge-Kutta-Nystrom methods  Hamiltonian systems  Symplectic integrators  Legendre polynomial expansion  Simplifying assumptions  
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
Authors:  Brugnano, Luigi;  Gurioli, Gianmarco;  Sun, Yajuan
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Korteweg-de Vries equation  Hamiltonian partial differential equations  Hamiltonian problems  Energy-conserving methods  Hamiltonian boundary value methods  HBVMs  
Local discontinuous Galerkin methods based on the multisymplectic formulation for two kinds of Hamiltonian PDEs 期刊论文
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2018, 卷号: 95, 期号: 1, 页码: 114-143
Authors:  Cai, Wenjun;  Sun, Yajuan;  Wang, Yushun;  Zhang, Huai
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Multisymplectic formulation  Hamiltonian PDEs  local discontinuous Galerkin method  numerical flux  conservation law  
Explicit symplectic methods for solving charged particle trajectories 期刊论文
PHYSICS OF PLASMAS, 2017, 卷号: 24, 期号: 5, 页码: 10
Authors:  Zhou, Zhaoqi;  He, Yang;  Sun, Yajuan;  Liu, Jian;  Qin, Hong
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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  
Higher order volume-preserving schemes for charged particle dynamics 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2016, 卷号: 305, 页码: 172-184
Authors:  He, Yang;  Sun, Yajuan;  Liu, Jian;  Qin, Hong
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Lorentz force equation  Higher order schemes  Volume-preserving integrator  Processing technique  Effective order  
Geometric Numerical Integration for Peakon b-Family Equations 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2016, 卷号: 19, 期号: 1, 页码: 24-52
Authors:  Cai, Wenjun;  Sun, Yajuan;  Wang, Yushun
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Symplectic integrator  splitting method  WENO scheme  multisymplectic integrator  peakon  shockpeakon  
Hamiltonian time integrators for Vlasov-Maxwell equations 期刊论文
PHYSICS OF PLASMAS, 2015, 卷号: 22, 期号: 12, 页码: 4
Authors:  He, Yang;  Qin, Hong;  Sun, Yajuan;  Xiao, Jianyuan;  Zhang, Ruili;  Liu, Jian
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