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Nonlinear self-dual network equations: modulation instability, interactions of higher-order discrete vector rational solitons and dynamical behaviours 期刊论文
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2020, 卷号: 476, 期号: 2242, 页码: 22
作者:  Wen, Xiao-Yong;  Yan, Zhenya;  Zhang, Guoqiang
收藏  |  浏览/下载:161/0  |  提交时间:2021/01/14
nonlinear self-dual network equations  modulation instability  generalized perturbation Darboux transformation  rational solitons  stability  
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:197/0  |  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 Globally Optimal Robust Design Method for Complex Systems 期刊论文
COMPLEXITY, 2020, 卷号: 2020, 页码: 25
作者:  Chen, Yue;  Shi, Jian;  Yi, Xiao-jian
收藏  |  浏览/下载:165/0  |  提交时间:2020/06/30
Highly Accurate Numerical Schemes for Stochastic Optimal Control Via FBSDEs 期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2020, 卷号: 13, 期号: 2, 页码: 296-319
作者:  Fu, Yu;  Zhao, Weidong;  Zhou, Tao
收藏  |  浏览/下载:169/0  |  提交时间:2020/05/24
Forward backward stochastic differential equations  stochastic optimal control  stochastic maximum principle  projected quasi-Newton methods  
Dynamic and static feedback control for second order infinite-dimensional systems 期刊论文
ASIAN JOURNAL OF CONTROL, 2020, 页码: 10
作者:  Wei, Jing;  Guo, Bao-Zhu
收藏  |  浏览/下载:163/0  |  提交时间:2020/05/24
dynamic feedback  stability  static feedback  
MULTIPLICITY OF POSITIVE SOLUTIONS TO NONLINEAR SYSTEMS OF HAMMERSTEIN INTEGRAL EQUATIONS WITH WEIGHTED FUNCTIONS 期刊论文
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2020, 卷号: 19, 期号: 1, 页码: 221-240
作者:  Cheng, Xiyou;  Feng, Zhaosheng;  Zhang, Zhitao
收藏  |  浏览/下载:197/0  |  提交时间:2020/01/10
Positive solution  Hammerstein integral equations  weighted functions  fixed point index  Dirichlet boundary condition  
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:160/0  |  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