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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  
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  
Application of Lie Algebra in Constructing Volume-Preserving Algorithms for Charged Particles Dynamics 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2016, 卷号: 19, 期号: 5, 页码: 1397-1408
作者:  Zhang, Ruili;  Liu, Jian;  Qin, Hong;  Tang, Yifa;  He, Yang;  Wang, Yulei
收藏  |  浏览/下载：187/0  |  提交时间：2018/07/30
Lie algebra  Lie group  volume-preserving algorithm  charged particles dynamics  
Higher order volume-preserving schemes for charged particle dynamics 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2016, 卷号: 305, 页码: 172-184
作者:  He, Yang;  Sun, Yajuan;  Liu, Jian;  Qin, Hong
收藏  |  浏览/下载：165/0  |  提交时间：2018/07/30
Lorentz force equation  Higher order schemes  Volume-preserving integrator  Processing technique  Effective order  
Stochastic Lagrangian flows on the group of volume-preserving homeomorphisms of the spheres 期刊论文
STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC PROCESSES, 2015, 卷号: 87, 期号: 4, 页码: 680-701
作者:  Luo, Dejun
收藏  |  浏览/下载：166/0  |  提交时间：2018/07/30
Navier-Stokes equation  Brownian motion  group of volume-preserving homeomorphisms  rotation process  
A class of volume-preserving numerical algorithms 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2008, 卷号: 206, 期号: 2, 页码: 841-852
作者:  Sun, Yajuan
收藏  |  浏览/下载：116/0  |  提交时间：2018/07/30
Volume-preserving numerical algorithms  Source-free system  Hamilton-Jacobi equation  Generating function approach  
The Euler-Lagrange cohomology and general volume-preserving systems 期刊论文
MODERN PHYSICS LETTERS A, 2003, 卷号: 18, 期号: 27, 页码: 1911-1923
作者:  Zhou, B;  Guo, HY;  Pan, HZ;  Wu, K
收藏  |  浏览/下载：114/0  |  提交时间：2018/07/30
Euler-Lagrange cohomology  symplectic  volume-preserving