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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：94/0  |  提交时间：2023/02/07
Deep learning  Neural networks  Discovery of dynamics  Source-free dynamics  Volume-preserving  
Hamiltonian Particle-in-Cell methods for Vlasov-Poisson equations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 467, 页码: 20
作者:  Gu, Anjiao;  He, Yang;  Sun, Yajuan
收藏  |  浏览/下载：92/0  |  提交时间：2023/02/07
Vlasov-Poisson system  Poisson bracket  Finite element method  Structure-preserving algorithm  Hamiltonian splitting method  
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：152/0  |  提交时间：2022/06/21
Measure-preserving  Neural networks  Dynamical systems  Approximation theory  
Spatiotemporal imaging with diffeomorphic optimal transportation 期刊论文
Inverse Problems, 2021, 卷号: 37, 期号: 11
作者:  Chen,Chong
收藏  |  浏览/下载：135/0  |  提交时间：2022/04/02
spatiotemporal imaging  di?eomorphic optimal transportation  mass-preserving deformation  
Positivity-preserving symplectic methods for the stochastic Lotka-Volterra predator-prey model 期刊论文
BIT NUMERICAL MATHEMATICS, 2021, 页码: 28
作者:  Hong, Jialin;  Ji, Lihai;  Wang, Xu;  Zhang, Jingjing
收藏  |  浏览/下载：144/0  |  提交时间：2022/04/02
Stochastic Lotka-Volterra predator-prey model  Positivity  Stochastic symplecticity  Structure-preserving methods  Convergence order conditions  
A structure-preserving finite element discretization for the time-dependent Nernst-Planck equation 期刊论文
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2021, 页码: 20
作者:  Zhang, Qianru;  Tu, Bin;  Fang, Qiaojun;  Lu, Benzhuo
收藏  |  浏览/下载：159/0  |  提交时间：2021/10/26
Structure-preserving finite element discretization  Nernst-Planck equation  Scharfetter-Gummel approximation  Jordan-Kinderlehrer-Otto scheme  
AN ENERGY STABLE AND MAXIMUM BOUND PRESERVING SCHEME WITH VARIABLE TIME STEPS FOR TIME FRACTIONAL ALLEN--CAHN EQUATION 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2021, 卷号: 43, 期号: 5, 页码: A3503-A3526
作者:  Liao, Hong-lin;  Tang, Tao;  Zhou, Tao
收藏  |  浏览/下载：120/0  |  提交时间：2022/04/02
time-fractional Allen--Cahn equation  asymptotic preserving  energy stability  adaptive time stepping  max-imum principle  
GRADIENT FLOW BASED KOHN-SHAM DENSITY FUNCTIONAL THEORY MODEL 期刊论文
MULTISCALE MODELING & SIMULATION, 2020, 卷号: 18, 期号: 4, 页码: 1621-1663
作者:  Dai, Xiaoying;  Wang, Qiao;  Zhou, Aihui
收藏  |  浏览/下载：153/0  |  提交时间：2021/04/26
density functional theory  dynamical system  gradient flow  orthogonality preserving  eigenvalue problem  energy minimization  
Energy-preserving algorithm for gyrocenter dynamics of charged particles 期刊论文
NUMERICAL ALGORITHMS, 2019, 卷号: 81, 期号: 4, 页码: 1521-1530
作者:  Zhang, Ruili;  Liu, Jian;  Qin, Hong;  Tang, Yifa
收藏  |  浏览/下载：216/0  |  提交时间：2020/01/10
Energy-preserving algorithm  Gyrocenter system  Discrete gradient method  
Conservative explicit local time-stepping schemes for the shallow water equations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2019, 卷号: 382, 页码: 152-176
作者:  Hoang, Thi-Thao-Phuong;  Leng, Wei;  Ju, Lili;  Wang, Zhu;  Pieper, Konstantin
收藏  |  浏览/下载：200/0  |  提交时间：2019/04/02
Shallow water equations  Local time-stepping  Strong stability preserving Runge-Kutta  Finite volume  Mass conservation  Potential vorticity