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Hamiltonian Particle-in-Cell methods for Vlasov-Poisson equations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 467, 页码: 20
作者:  Gu, Anjiao;  He, Yang;  Sun, Yajuan
收藏  |  浏览/下载：57/0  |  提交时间：2023/02/07
Vlasov-Poisson system  Poisson bracket  Finite element method  Structure-preserving algorithm  Hamiltonian splitting method  
TSEE: an elastic embedding method to visualize the dynamic gene expression patterns of time series single-cell RNA sequencing data 期刊论文
BMC GENOMICS, 2019, 卷号: 20, 页码: 16
作者:  An, Shaokun;  Ma, Liang;  Wan, Lin
收藏  |  浏览/下载：194/0  |  提交时间：2019/10/28
Nonlinear dimensionality reduction  Elastic embedding  Visualization  Single-cell RNA sequencing  Time series  Cell fate decisions  Gene expression pattern  Oscillation  In-group proportion  
Curvature-aware manifold learning 期刊论文
PATTERN RECOGNITION, 2018, 卷号: 83, 页码: 273-286
作者:  Li, Yangyang
收藏  |  浏览/下载：137/0  |  提交时间：2018/10/07
Manifold learning  Riemannian curvature  Second fundamental form  Hessian operator  
Locality preserving projection on SPD matrix Lie group: algorithm and analysis 期刊论文
SCIENCE CHINA-INFORMATION SCIENCES, 2018, 卷号: 61, 期号: 9, 页码: 15
作者:  Li, Yangyang;  Lu, Ruqian
收藏  |  浏览/下载：165/0  |  提交时间：2018/07/30
manifold learning  SPD matrix Lie group  locally preserving projection  Laplace operator  Log Euclidean metric  
The structure-preserving doubling algorithms for positive definite solution to a system of nonlinear matrix equations 期刊论文
LINEAR & MULTILINEAR ALGEBRA, 2018, 卷号: 66, 期号: 4, 页码: 827-839
作者:  Huang, Na;  Ma, Chang-Feng
收藏  |  浏览/下载：184/0  |  提交时间：2018/07/30
System of nonlinear matrix equations  positive definite solution  structure-preserving doubling algorithm  convergence analysis  numerical examples  65H10  65F10  15A24  
Local energy- and momentum-preserving schemes for Klein-Gordon-Schrodinger equations and convergence analysis 期刊论文
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2017, 卷号: 33, 期号: 4, 页码: 1329-1351
作者:  Cai, Jiaxiang;  Hong, Jialin;  Wang, Yushun
收藏  |  浏览/下载：109/0  |  提交时间：2018/07/30
conservation law  convergence analysis  Klein-Gordon-Schrodinger equations  local structure  structure-preserving algorithm  
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
作者:  He, Yang;  Sun, Yajuan;  Qin, Hong;  Liu, Jian
收藏  |  浏览/下载：110/0  |  提交时间：2018/07/30
Application of Lie Algebra in Constructing Volume-Preserving Algorithms for Charged Particles Dynamics 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2016, 卷号: 19, 期号: 5, 页码: 1397-1408
作者:  Zhang, Ruili;  Liu, Jian;  Qin, Hong;  Tang, Yifa;  He, Yang;  Wang, Yulei
收藏  |  浏览/下载：136/0  |  提交时间：2018/07/30
Lie algebra  Lie group  volume-preserving algorithm  charged particles dynamics  
A structure-preserving doubling algorithm for nonsymmetric algebraic Riccati equation 期刊论文
NUMERISCHE MATHEMATIK, 2006, 卷号: 103, 期号: 3, 页码: 393-412
作者:  Guo, XX;  Lin, WW;  Xu, SF
收藏  |  浏览/下载：89/0  |  提交时间：2018/07/30
nonsymmetric algebraic Riccati equation  minimal nonnegative solution  structure-preserving doubling algorithm  
Difference discrete variational principles, Euler-Lagrange cohomology and symplectic, multisymplectic structures III: Application to symplectic and multisymplectic algorithms 期刊论文
COMMUNICATIONS IN THEORETICAL PHYSICS, 2002, 卷号: 37, 期号: 3, 页码: 257-264
作者:  Guo, HY;  Li, YQ;  Wu, K;  Wang, SK
收藏  |  浏览/下载：87/0  |  提交时间：2018/07/30
discrete variation  Euler-Lagrange cohomology  symplectic algorithm  multisymplectic algorithm