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NUMERICAL INVESTIGATION OF ENSEMBLE METHODS WITH BLOCK ITERATIVE SOLVERS FOR EVOLUTION PROBLEMS 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2020, 卷号: 25, 期号: 12, 页码: 4905-4923
作者:  Ju, Lili;  Leng, Wei;  Wang, Zhu;  Yuan, Shuai
收藏  |  浏览/下载：201/0  |  提交时间：2021/01/14
Ensemble method  ensemble-based time stepping  block CG  block GMRES  iterative linear solver  
Equivalence-Based Model of Dimension-Varying Linear Systems 期刊论文
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2020, 卷号: 65, 期号: 12, 页码: 5444-5449
作者:  Cheng, Daizhan;  Xu, Zhenhui;  Shen, Tielong
收藏  |  浏览/下载：131/0  |  提交时间：2021/04/26
Aerospace electronics  Linear systems  Dynamical systems  Extraterrestrial measurements  Control systems  Vehicle dynamics  Dimension-free state space  dimension-varying linear (control) system  S-system  
SympNets: Intrinsic structure-preserving symplectic networks for identifying Hamiltonian systems 期刊论文
NEURAL NETWORKS, 2020, 卷号: 132, 页码: 166-179
作者:  Jin, Pengzhan;  Zhang, Zhen;  Zhu, Aiqing;  Tang, Yifa;  Karniadakis, George Em
收藏  |  浏览/下载：143/0  |  提交时间：2021/04/26
Deep learning  Physics-informed  Dynamical systems  Hamiltonian systems  Symplectic maps  Symplectic integrators  
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：141/0  |  提交时间：2021/01/14
Convergence of Self-Tuning Regulators under Conditional Heteroscedastic Noises with Unknown High-Frequency Gain 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2020, 页码: 15
作者:  Zhang, Yaqi;  Guo, Lei
收藏  |  浏览/下载：142/0  |  提交时间：2021/01/14
ARCH model  conditional heteroscedasticity  convergence  self-tuning regulator  weighted least-squares algorithm  
The efficiency of Nash equilibria in the load balancing game with a randomizing scheduler 期刊论文
THEORETICAL COMPUTER SCIENCE, 2020, 卷号: 838, 页码: 180-194
作者:  Chen, Xujin;  Hu, Xiaodong;  Wang, Chenhao;  Wu, Xiaoying
收藏  |  浏览/下载：187/0  |  提交时间：2020/11/18
Load balancing game  Price of anarchy  Price of stability  Decision-making principle  Nash equilibrium  
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：169/0  |  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  
Model reduction-based initialization methods for solving the Poisson-Nernst-Plank equations in three-dimensional ion channel simulations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2020, 卷号: 419, 页码: 18
作者:  Zhang, Qianru;  Gui, Sheng;  Li, Hongliang;  Lu, Benzhuo
收藏  |  浏览/下载：150/0  |  提交时间：2021/04/26
Reduced model  Poisson-Nernst-Planck  Smoluchowski-Poisson-Boltzmann  Initialization  Linear approximation of PNP model  Finite element method  
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：135/0  |  提交时间：2020/05/24
Polynomial system  Deflation method  Isolated singular zero  Interval verification  
A new approach to the existence and regularity of linear equilibrium in a noisy rational expectations economy 期刊论文
JOURNAL OF MATHEMATICAL ECONOMICS, 2020, 卷号: 90, 页码: 119-126
作者:  Lou, Youcheng;  Wang, Shouyang
收藏  |  浏览/下载：111/0  |  提交时间：2021/01/14
Existence and regularity  Rational expectations equilibrium  A new approach