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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：92/0  |  提交时间：2023/02/07
Vlasov-Poisson system  Poisson bracket  Finite element method  Structure-preserving algorithm  Hamiltonian splitting method  
Numerical simulations of one laser-plasma model based on Poisson structure 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2020, 卷号: 405, 页码: 20
作者:  Li, Yingzhe;  Sun, Yajuan;  Crouseilles, Nicolas
收藏  |  浏览/下载：189/0  |  提交时间：2020/05/24
Laser-plasma interaction  Vlasov-Maxwell system  Poisson bracket  Hamiltonian splitting  Conservative splitting  
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：216/0  |  提交时间：2020/01/10
Vlasov-Maxwell system  Poisson bracket  Hamiltonian splitting method  
Collision and intersection detection of two ruled surfaces using bracket method 期刊论文
COMPUTER AIDED GEOMETRIC DESIGN, 2011, 卷号: 28, 期号: 2, 页码: 114-126
作者:  Chen, Ying;  Shen, Li-Yong;  Yuan, Chun-Ming
收藏  |  浏览/下载：136/0  |  提交时间：2018/07/30
Bracket  Ruled surfaces  Collision detection  Intersection curves  
Complex brackets and balanced complex 1st-order difference polynomials in 4-dimensional Minkowski space 期刊论文
SCIENCE IN CHINA SERIES A-MATHEMATICS, 2008, 卷号: 51, 期号: 12, 页码: 2137-2148
作者:  Huang Lei;  Li HongBo
收藏  |  浏览/下载：132/0  |  提交时间：2018/07/30
conformal geometric algebra (CGA)  null bracket algebra (NBA)  geometric invariant  mechanical proving  normal forms  68T15  03B35  
A symbolic approach to, polyhedral scene analysis by parametric calotte propagation 期刊论文
ROBOTICA, 2008, 卷号: 26, 页码: 483-501
作者:  Li, Hongbo;  Zhao, Lina;  Chen, Ying
收藏  |  浏览/下载：133/0  |  提交时间：2018/07/30
structure geometry  polyhedral scene analysis  Grassmann-Cayley algebra  bracket algebra  constraint satisfaction  
Affine bracket algebra theory and algorithms and their applications in mechanical theorem proving 期刊论文
SCIENCE IN CHINA SERIES A-MATHEMATICS, 2007, 卷号: 50, 期号: 7, 页码: 941-950
作者:  Zhang, Ning;  Li, Hong-bo
收藏  |  浏览/下载：118/0  |  提交时间：2018/07/30
mechanical theorem proving  geometric invariance  bracket algebra  affine geometry  affine bracket algebra  
On Miquel's five-circle theorem 期刊论文
COMPUTER ALGEBRA AND GEOMETRIC ALGEBRA WITH APPLICATIONS, 2005, 卷号: 3519, 页码: 217-228
作者:  Li, HB;  Xu, RH;  Zhang, N
收藏  |  浏览/下载：121/0  |  提交时间：2018/07/30
Miquel's theorem  mathematics mechanization  conformal geometric algebra  null bracket algebra  "breefs"  
Algebraic representation, elimination and expansion in automated geometric theorem proving 期刊论文
AUTOMATED DEDUCTION IN GEOMETRY, 2004, 卷号: 2930, 页码: 106-123
作者:  Li, HB
收藏  |  浏览/下载：111/0  |  提交时间：2018/07/30
Cayley algebra  bracket algebra  automated theorem proving  projective geometry  affine geometry  conics  
Automated short proof generation for projective geometric theorems with Cayley and bracket algebras - II. Conic geometry 期刊论文
JOURNAL OF SYMBOLIC COMPUTATION, 2003, 卷号: 36, 期号: 5, 页码: 763-809
作者:  Li, HB;  Wu, YH
收藏  |  浏览/下载：111/0  |  提交时间：2018/07/30
bracket algebra  Cayley algebra  automated theorem proving  projective conic geometry