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Approximation capabilities of measure-preserving neural networks 期刊论文
NEURAL NETWORKS, 2022, 卷号: 147, 页码: 72-80
Authors:  Zhu, Aiqing;  Jin, Pengzhan;  Tang, Yifa
Favorite  |  View/Download：62/0  |  Submit date：2022/06/21
Measure-preserving  Neural networks  Dynamical systems  Approximation theory  
Energy-preserving methods for guiding center system based on averaged vector field 期刊论文
PHYSICS OF PLASMAS, 2022, 卷号: 29, 期号: 3, 页码: 14
Authors:  Zhu, Beibei;  Tang, Yifa;  Liu, Jian
Favorite  |  View/Download：70/0  |  Submit date：2022/04/29
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：97/0  |  Submit date：2021/04/26
Deep learning  Physics-informed  Dynamical systems  Hamiltonian systems  Symplectic maps  Symplectic integrators  
Spectrally accurate space-time solution of Manakov systems 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2020, 卷号: 377, 页码: 20
Authors:  Barletti, Luigi;  Brugnano, Luigi;  Tang, Yifa;  Zhu, Beibei
Favorite  |  View/Download：91/0  |  Submit date：2020/06/30
Hamiltonian PDEs  Manakov system  Energy-conserving methods  Hamiltonian Boundary Value Methods  HBVMs  Spectral methods  
Quantifying the generalization error in deep learning in terms of data distribution and neural network smoothness 期刊论文
NEURAL NETWORKS, 2020, 卷号: 130, 页码: 85-99
Authors:  Jin, Pengzhan;  Lu, Lu;  Tang, Yifa;  Karniadakis, George Em
Favorite  |  View/Download：76/0  |  Submit date：2021/01/14
Neural networks  Generalization error  Learnability  Data distribution  Cover complexity  Neural network smoothness  
High-order stroboscopic averaging methods for highly oscillatory delay problems 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2020, 卷号: 152, 页码: 466-479
Authors:  Calvo, M. P.;  Sanz-Serna, J. M.;  Zhu, Beibei
Favorite  |  View/Download：84/0  |  Submit date：2020/05/24
Delay differential equations  Stroboscopic averaging  Highly oscillatory problems  
Space-time finite element method for the distributed-order time fractional reaction diffusion equations 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2020, 卷号: 152, 页码: 446-465
Authors:  Bu, Weiping;  Ji, Lun;  Tang, Yifa;  Zhou, Jie
Favorite  |  View/Download：90/0  |  Submit date：2020/05/24
Distributed-order reaction diffusion equation  Space-time finite element method  Graded time mesh  Well-posedness  Error estimate  Sum-of-exponentials approximation  
Superconvergence Analysis of Anisotropic FEMs for Time Fractional Variable Coefficient Diffusion Equations 期刊论文
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2020, 页码: 19
Authors:  Wei, Yabing;  Zhao, Yanmin;  Wang, Fenling;  Tang, Yifa;  Yang, Jiye
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L2-1(sigma) approximation  Anisotropic meshes  Time fractional variable coefficient diffusion equations  Convergence and superconvergence  
THE ROLE OF OBESITY IN FRACTIONAL ORDER TUMOR-IMMUNE MODEL 期刊论文
UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2020, 卷号: 82, 期号: 2, 页码: 181-196
Authors:  Arshad, Sadia;  Yildiz, Tugba Akman;  Baleanu, Dumitru;  Tang, Yifa
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Fractional-order tumor model  Caputo fractional derivative  Cancer  Obesity  
UNIT TRIANGULAR FACTORIZATION OF THE MATRIX SYMPLECTIC GROUP 期刊论文
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2020, 卷号: 41, 期号: 4, 页码: 1630-1650
Authors:  Jin, Pengzhan;  Tang, Yifa;  Zhu, Aiqing
Favorite  |  View/Download：68/0  |  Submit date：2021/04/26
symplectic  symplectic matrix  triangular factorization  positive definite  singular symplectic matrix  generators  parameterization  unconstrained parametrization