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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
作者:  Tang, Wensheng;  Sun, Yajuan;  Zhang, Jingjing
收藏  |  浏览/下载：190/0  |  提交时间：2020/01/10
Continuous-stage Runge-Kutta-Nystrom methods  Hamiltonian systems  Symplectic integrators  Legendre polynomial expansion  Simplifying assumptions  
Solving the Vlasov-Maxwell equations using Hamiltonian splitting 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2019, 卷号: 396, 页码: 381-399
作者:  Li, Yingzhe;  He, Yang;  Sun, Yajuan;  Niesen, Jitse;  Qin, Hong;  Liu, Jian
收藏  |  浏览/下载：165/0  |  提交时间：2020/01/10
Vlasov-Maxwell system  Poisson bracket  Hamiltonian splitting method  
Symplectic integrators with adaptive time step applied to runaway electron dynamics 期刊论文
NUMERICAL ALGORITHMS, 2019, 卷号: 81, 期号: 4, 页码: 1295-1309
作者:  Shi, Yanyan;  Sun, Yajuan;  He, Yang;  Qin, Hong;  Liu, Jian
收藏  |  浏览/下载：176/0  |  提交时间：2020/01/10
Runaway electrons  Symplectic methods  Adaptive time step  
Explicit symplectic algorithms based on generating functions for relativistic charged particle dynamics in time-dependent electromagnetic field 期刊论文
PHYSICS OF PLASMAS, 2018, 卷号: 25, 期号: 2, 页码: 7
作者:  Zhang, Ruili;  Wang, Yulei;  He, Yang;  Xiao, Jianyuan;  Liu, Jian;  Qin, Hong;  Tang, Yifa
收藏  |  浏览/下载：262/0  |  提交时间：2018/07/30
Finite difference method for time-space linear and nonlinear fractional diffusion equations 期刊论文
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2018, 卷号: 95, 期号: 1, 页码: 202-217
作者:  Arshad, Sadia;  Bu, Weiping;  Huang, Jianfei;  Tang, Yifa;  Zhao, Yue
收藏  |  浏览/下载：173/0  |  提交时间：2018/07/30
Fractional diffusion equation  finite difference method  stability and convergence analysis  trapezoidal formula  Riesz derivative  Caputo derivative  
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
作者:  Cai, Wenjun;  Sun, Yajuan;  Wang, Yushun;  Zhang, Huai
收藏  |  浏览/下载：156/0  |  提交时间：2018/07/30
Multisymplectic formulation  Hamiltonian PDEs  local discontinuous Galerkin method  numerical flux  conservation law  
Galerkin finite element method for two-dimensional space and time fractional Bloch-Torrey equation 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2017, 卷号: 350, 页码: 117-135
作者:  Zhao, Yue;  Bu, Weiping;  Zhao, Xuan;  Tang, Yifa
收藏  |  浏览/下载：151/0  |  提交时间：2018/07/30
Space and time fractional Bloch-Torrey equation  Galerkin finite element method  L2-1(sigma) formula  Stability  Convergence  
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
作者:  Zhou, Zhaoqi;  He, Yang;  Sun, Yajuan;  Liu, Jian;  Qin, Hong
收藏  |  浏览/下载：111/0  |  提交时间：2018/07/30
Effects of HIV infection on CD4(+) T-cell population based on a fractional-order model 期刊论文
ADVANCES IN DIFFERENCE EQUATIONS, 2017, 页码: 14
作者:  Arshad, Sadia;  Baleanu, Dumitru;  Bu, Weiping;  Tang, Yifa
收藏  |  浏览/下载：115/0  |  提交时间：2018/07/30
fractional derivative  HIV model  finite difference scheme  dynamical analysis  
Boundary value problems of fractional Fokker-Planck equations 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2017, 卷号: 73, 期号: 6, 页码: 959-969
作者:  Aleroev, Temirkhan S.;  Aleroeva, Hedi T.;  Huang, Jianfei;  Tamm, Mikhail V.;  Tang, Yifa;  Zhao, Yue
收藏  |  浏览/下载：125/0  |  提交时间：2018/07/30
Boundary value problems  Fractional Fokker-Planck equations  The Fourier method  Caputo derivative operator