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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
作者:  Zhu, Aiqing;  Zhu, Beibei;  Zhang, Jiawei;  Tang, Yifa;  Liu, Jian
收藏  |  浏览/下载：61/0  |  提交时间：2023/02/07
Deep learning  Neural networks  Discovery of dynamics  Source-free dynamics  Volume-preserving  
Poisson Integrators Based on Splitting Method for Poisson Systems 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2022, 卷号: 32, 期号: 4, 页码: 1129-1155
作者:  Zhu, Beibei;  Ji, Lun;  Zhu, Aiqing;  Tang, Yifa
收藏  |  浏览/下载：29/0  |  提交时间：2023/02/07
Poisson systems  Poisson integrators  splitting method  energy conservation  
Highly Efficient Numerical Integrator for the Circular Restricted Three-Body Problem 期刊论文
SYMMETRY-BASEL, 2022, 卷号: 14, 期号: 9, 页码: 9
作者:  Tu, Xiongbiao;  Wang, Qiao;  Tang, Yifa
收藏  |  浏览/下载：49/0  |  提交时间：2023/02/07
high efficiency  symplectic  restricted three-body  
Local error estimate of L1 scheme for linearized time fractional KdV equation with weakly singular solutions 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2022, 卷号: 179, 页码: 183-190
作者:  Chen, Hu;  Chen, Mengyi;  Sun, Tao;  Tang, Yifa
收藏  |  浏览/下载：94/0  |  提交时间：2023/02/07
L1 scheme  Time-fractional KdV equation  Local error estimate  Weakly singular solution  
A spectral method for stochastic fractional PDEs using dynamically-orthogonal/bi-orthogonal decomposition 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 461, 页码: 17
作者:  Zhao, Yue;  Mao, Zhiping;  Guo, Ling;  Tang, Yifa;  Karniadakis, George Em
收藏  |  浏览/下载：58/0  |  提交时间：2023/02/07
Uncertainty quantification  Anomalous transport  Quasi Monte Carlo simulation  Generalized polynomial chaos  Long-time integration  Poly-fractonomials  
A fast Euler-Maruyama method for fractional stochastic differential equations 期刊论文
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2022, 页码: 19
作者:  Zhang, Jingna;  Tang, Yifa;  Huang, Jianfei
收藏  |  浏览/下载：62/0  |  提交时间：2023/02/07
Fractional stochastic differential equations  Euler-Maruyama method  Sum-of-exponentials approximation  Strong convergence  Computational efficiency  
Approximation capabilities of measure-preserving neural networks 期刊论文
NEURAL NETWORKS, 2022, 卷号: 147, 页码: 72-80
作者:  Zhu, Aiqing;  Jin, Pengzhan;  Tang, Yifa
收藏  |  浏览/下载：112/0  |  提交时间：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
作者:  Zhu, Beibei;  Tang, Yifa;  Liu, Jian
收藏  |  浏览/下载：139/0  |  提交时间：2022/04/29
Simpson's method for fractional differential equations with a non-singular kernel applied to a chaotic tumor model 期刊论文
PHYSICA SCRIPTA, 2021, 卷号: 96, 期号: 12, 页码: 19
作者:  Arshad, Sadia;  Saleem, Iram;  Defterli, Ozlem;  Tang, Yifa;  Baleanu, Dumitru
收藏  |  浏览/下载：114/0  |  提交时间：2022/04/02
fractional operator with the non-singular kernel  numerical approximation  stability analysis  convergence analysis  tumor model  chaos  
Numerical Schemes for Time-Space Fractional Vibration Equations 期刊论文
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 2021, 卷号: 13, 期号: 4, 页码: 806-826
作者:  Zhang, Jingna;  Aleroev, Temirkhan S.;  Tang, Yifa;  Huang, Jianfei
收藏  |  浏览/下载：168/0  |  提交时间：2021/06/01
Time-space fractional vibration equations  ADI scheme  stability  convergence