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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
Authors:  Ju, Lili;  Leng, Wei;  Wang, Zhu;  Yuan, Shuai
Favorite  |  View/Download:70/0  |  Submit date: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
Authors:  Cheng, Daizhan;  Xu, Zhenhui;  Shen, Tielong
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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
Authors:  Jin, Pengzhan;  Zhang, Zhen;  Zhu, Aiqing;  Tang, Yifa;  Karniadakis, George Em
Favorite  |  View/Download:68/0  |  Submit date: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
Authors:  Yan, Shilu;  Qi, Hongsheng;  Cui, Wei
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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
Authors:  Zhang, Yaqi;  Guo, Lei
Favorite  |  View/Download:48/0  |  Submit date: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
Authors:  Chen, Xujin;  Hu, Xiaodong;  Wang, Chenhao;  Wu, Xiaoying
Favorite  |  View/Download:104/0  |  Submit date: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
Authors:  Wang, Lin;  Yu, Haijun
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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
Authors:  Zhang, Qianru;  Gui, Sheng;  Li, Hongliang;  Lu, Benzhuo
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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
Authors:  Cheng, Jin-San;  Dou, Xiaojie;  Wen, Junyi
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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
Authors:  Lou, Youcheng;  Wang, Shouyang
Favorite  |  View/Download:40/0  |  Submit date:2021/01/14
Existence and regularity  Rational expectations equilibrium  A new approach