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Nonlinear quantum neuron: A fundamental building block for quantum neural networks 期刊论文
PHYSICAL REVIEW A, 2020, 卷号: 102, 期号: 5, 页码: 8
作者:  Yan, Shilu;  Qi, Hongsheng;  Cui, Wei
收藏  |  浏览/下载:143/0  |  提交时间:2021/01/14
An Improvement of the Rational Representation for High-Dimensional Systems 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2020, 页码: 18
作者:  Xiao, Fanghui;  Lu, Dong;  Ma, Xiaodong;  Wang, Dingkang
收藏  |  浏览/下载:144/0  |  提交时间:2021/01/14
Comprehensive Grobner systems  high-dimensional polynomial system  rational representation  rational univariate representation  
An energy stable linear diffusive Crank-Nicolson scheme for the Cahn-Hilliard gradient flow 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2020, 卷号: 377, 页码: 26
作者:  Wang, Lin;  Yu, Haijun
收藏  |  浏览/下载:170/0  |  提交时间:2020/06/30
Cahn-Hilliard gradient flow  Unconditionally stable  Stabilized semi-implicit scheme  Diffusive Crank-Nicolson scheme  Error analysis  Adaptive time stepping  
A new deflation method for verifying the isolated singular zeros of polynomial systems 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2020, 卷号: 376, 页码: 21
作者:  Cheng, Jin-San;  Dou, Xiaojie;  Wen, Junyi
收藏  |  浏览/下载:138/0  |  提交时间:2020/05/24
Polynomial system  Deflation method  Isolated singular zero  Interval verification  
ON ISOLATION OF SIMPLE MULTIPLE ZEROS AND CLUSTERS OF ZEROS OF POLYNOMIAL SYSTEMS 期刊论文
MATHEMATICS OF COMPUTATION, 2020, 卷号: 89, 期号: 322, 页码: 879-909
作者:  Hao, Zhiwei;  Jiang, Wenrong;  Li, Nan;  Zhi, Lihong
收藏  |  浏览/下载:135/0  |  提交时间:2020/05/24
On the Topology and Isotopic Meshing of Plane Algebraic Curves 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2020, 卷号: 33, 期号: 1, 页码: 230-260
作者:  Jin, Kai;  Cheng, Jinsan
收藏  |  浏览/下载:103/0  |  提交时间:2020/05/24
Interval polynomial  isotopic meshing  plane curve  topology  
Identifying weak focus and center in a convection model 期刊论文
APPLIED MATHEMATICS LETTERS, 2020, 卷号: 100, 页码: 7
作者:  Guo, Laigang;  Yu, Pei;  Chen, Yufu
收藏  |  浏览/下载:136/0  |  提交时间:2020/05/24
Convection model  3-dimensional quadratic system  Normal form  Limit cycle  
PARALLEL ENERGY-STABLE SOLVER FOR A COUPLED ALLEN-CAHN AND CAHN-HILLIARD SYSTEM 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2020, 卷号: 42, 期号: 5, 页码: C294-C312
作者:  Huang, Jizu;  Yang, Chao;  Wei, Ying
收藏  |  浏览/下载:139/0  |  提交时间:2021/04/26
coupled Allen-Cahn/Cahn-Hilliard system  discrete variational derivative method  unconditionally energy stable scheme  Newton-Krylov-Schwarz  domain decomposition method