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The Fucik spectrum of Schrodinger operators in strongly indefinite cases 期刊论文
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2023, 卷号: 30, 期号: 2, 页码: 28
Authors:  Song, Linjie
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Fucik spectrum  Schrodinger operators  Essential spectrum  Jumping nonlinearities  
On the global approximate controllability in small time of semiclassical 1-D Schrodinger equations between two states with positive quantum densities 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2023, 卷号: 345, 页码: 1-44
Authors:  Coron, Jean-Michel;  Xiang, Shengquan;  Zhang, Ping
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Semiclassical Schr?dinger equation  Quantum density  Quantum momentum  Controllability  Semiclassical limit  
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  
Developable mesh segmentation by detecting curve-like features on Gauss images 期刊论文
COMPUTERS & GRAPHICS-UK, 2022, 卷号: 109, 页码: 42-54
Authors:  Zeng, Zheng;  Jia, Xiaohong;  Shen, Liyong;  Bo, Pengbo
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Developable surface  Mesh segmentation  Gauss image  
Solutions to a nonlinear Dirac-Maxwell system: from periodic waves to soliton-like waves 期刊论文
NONLINEARITY, 2022, 卷号: 35, 期号: 12, 页码: 6422-6452
Authors:  Pan, Chen;  Yanheng, Ding;  Hua-Yang, Wang
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Dirac-Maxwell system  variational methods  periodic solutions  soliton-like solutions  ground states  
Data-driven soliton mappings for integrable fractional nonlinear wave equations via deep learning with Fourier neural operator 期刊论文
CHAOS SOLITONS & FRACTALS, 2022, 卷号: 165, 页码: 14
Authors:  Zhong, Ming;  Yan, Zhenya
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Integrable fractional nonlinear wave equations  Fourier neural operator  Deep learning  Data-driven soliton mapping  Activation function  Channel of fully-connected layer  
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  
Gravitational waveform of moving source with high speed 期刊论文
CLASSICAL AND QUANTUM GRAVITY, 2022, 卷号: 39, 期号: 19, 页码: 20
Authors:  He, Xiaokai;  Liu, Xiaolin;  Cao, Zhoujian
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gravitational wave  moving source  waveform model