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Numerical computation of probabilities for nonlinear SDEs in high dimension using Kolmogorov equation br 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2023, 卷号: 436, 页码: 17
Authors:  Flandoli, Franco;  Luo, Dejun;  Ricci, Cristiano
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High dimensional Kolmogorov equation  Numerical solution  Iteration scheme  Gaussian process  
VPNets: Volume-preserving neural networks for learning source-free dynamics 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2022, 卷号: 416, 页码: 12
Authors:  Zhu, Aiqing;  Zhu, Beibei;  Zhang, Jiawei;  Tang, Yifa;  Liu, Jian
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Deep learning  Neural networks  Discovery of dynamics  Source-free dynamics  Volume-preserving  
Boundary Stability Criterion for a Nonlinear Axially Moving Beam 期刊论文
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2022, 卷号: 67, 期号: 11, 页码: 5714-5729
Authors:  Cheng, Yi;  Wu, Yuhu;  Guo, Bao-Zhu
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Mathematical models  Stability criteria  Structural beams  Vibrations  Strain  Numerical stability  Feedback control  Absolute stabilization  axially moving beam  boundary control  exponential stability  
A splitting semi-implicit Euler method for stochastic incompressible Euler equations on T-2 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2022, 页码: 29
Authors:  Hong, Jialin;  Sheng, Derui;  Zhou, Tau
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stochastic incompressible Euler equation  convergence order  splitting semi-implicit Euler method  
A comparison between three-dimensional, transient, thermomechanically coupled first-order and Stokes ice flow models 期刊论文
JOURNAL OF GLACIOLOGY, 2022, 页码: 12
Authors:  Yan, Zhan;  Leng, Wei;  Wang, Yuzhe;  Xiao, Cunde;  Zhang, Tong
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Glacier modeling  glacier flow  glaciological model experiments  ice-sheet modeling  ice dynamics  
A Weak Galerkin Finite Element Method Can Compute Both Upper and Lower Eigenvalue Bounds 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2022, 卷号: 93, 期号: 1, 页码: 21
Authors:  Liang, Qigang;  Xu, Xuejun;  Yuan, Liuyao
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Eigenvalue problems  Upper and lower bound  Weak Galerkin method  High accuracy  
Error estimates of H(div)-conforming method for nonstationary magnetohydrodynamic system 期刊论文
ADVANCES IN COMPUTATIONAL MATHEMATICS, 2022, 卷号: 48, 期号: 5, 页码: 23
Authors:  Ding, Qianqian;  Mao, Shipeng;  Sun, Jiaao
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Magnetohydrodynamics  Finite element method  H(div)-conforming element  Error analysis  Pressure-robust  
Distributed system identification for linear stochastic systems with binary sensors 期刊论文
AUTOMATICA, 2022, 卷号: 141, 页码: 13
Authors:  Fu, Kewei;  Chen, Han-Fu;  Zhao, Wenxiao
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Distributed system identification  Binary-valued sensor  Stochastic approximation  Consensus  Convergence  Strong consistency  
STOCHASTIC DIFFERENTIAL EQUATION WITH PIECEWISE CONTINUOUS ARGUMENTS: MARKOV PROPERTY, INVARIANT MEASURE AND NUMERICAL APPROXIMATION 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2022, 页码: 43
Authors:  Chen, Chuchu;  Hong, Jialin;  Lu, Yulan
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   Invariant measure  Markov chain  weak convergence  backward Euler method  stochastic differential equations with piecewise continuous arguments  
Efficient Algorithm for Approximating Nash Equilibrium of Distributed Aggregative Games 期刊论文
IEEE TRANSACTIONS ON CYBERNETICS, 2022, 页码: 13
Authors:  Xu, Gehui;  Chen, Guanpu;  Qi, Hongsheng;  Hong, Yiguang
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Games  Approximation algorithms  Heuristic algorithms  Optimization  Standards  Distributed algorithms  Convergence  -Nash equilibrium (NE)  aggregative game  approximation  distributed algorithm