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Data-driven discoveries of B?cklund transformations and soliton evolution equations via deep neural network learning schemes 期刊论文
PHYSICS LETTERS A, 2022, 卷号: 450, 页码: 15
作者:  Zhou, Zijian;  Wang, Li;  Yan, Zhenya
收藏  |  浏览/下载：71/0  |  提交时间：2023/02/07
Deep neural networks  B?cklund transform  Miura transform  Soliton equations  Breathers  Solitons  
A new 6th-order WENO scheme with modified stencils 期刊论文
COMPUTERS & FLUIDS, 2020, 卷号: 208, 页码: 16
作者:  Wang, Yahui;  Du, Yulong;  Zhao, Kunlei;  Yuan, Li
收藏  |  浏览/下载：122/0  |  提交时间：2020/11/18
WENO scheme  Sixth-order accuracy  Modified stencil  Hyperbolic conservation law  
Modified Stencil Approximations for Fifth-Order Weighted Essentially Non-oscillatory Schemes 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2019, 卷号: 81, 期号: 2, 页码: 898-922
作者:  Wang, Yahui;  Du, Yulong;  Zhao, Kunlei;  Yuan, Li
收藏  |  浏览/下载：132/0  |  提交时间：2020/05/24
WENO scheme  Stencil approximation order  Smoothness indicator  Hyperbolic conservation law  Euler equation  
Well-balanced discontinuous Galerkin method and finite volume WENO scheme based on hydrostatic reconstruction for blood flow model in arteries 期刊论文
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2018, 卷号: 86, 期号: 7, 页码: 491-508
作者:  Li, Gang;  Delestre, Olivier;  Yuan, Li
收藏  |  浏览/下载：148/0  |  提交时间：2018/07/30
blood flow model  discontinuous Galerkin method  finite volume WENO scheme  hydrostatic reconstruction  source term  well-balanced property  
Analysis on the stability of numerical schemes for a class of stochastic partial differential systems 期刊论文
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2018, 卷号: 95, 期号: 2, 页码: 316-328
作者:  Cong, Xin-rong;  Li, Long-suo
收藏  |  浏览/下载：153/0  |  提交时间：2018/07/30
Stochastic partial differential equations  compact finite difference method  random noise  
A family of new explicit, revertible, volume-preserving numerical schemes for the system of Lorentz force 期刊论文
PHYSICS OF PLASMAS, 2016, 卷号: 23, 期号: 12, 页码: 8
作者:  Tu, Xiongbiao;  Zhu, Beibei;  Tang, Yifa;  Qin, Hong;  Liu, Jian;  Zhang, Ruili
收藏  |  浏览/下载：110/0  |  提交时间：2018/07/30
A stable and scalable hybrid solver for rate-type non-Newtonian fluid models 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2016, 卷号: 300, 页码: 103-118
作者:  Lee, Young-Ju;  Leng, Wei;  Zhang, Chen-Song
收藏  |  浏览/下载：131/0  |  提交时间：2018/07/30
Finite element methods  Scalable solver  Stable discretization  Non-Newtonian models  
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：126/0  |  提交时间：2018/07/30
Lorentz force equation  Higher order schemes  Volume-preserving integrator  Processing technique  Effective order  
FINITE VOLUME DISCRETIZATIONS FOR EIGENVALUE PROBLEMS WITH APPLICATIONS TO ELECTRONIC STRUCTURE CALCULATIONS 期刊论文
MULTISCALE MODELING & SIMULATION, 2011, 卷号: 9, 期号: 1, 页码: 208-240
作者:  Dai, Xiaoying;  Gong, Xingao;  Yang, Zhang;  Zhang, Dier;  Zhou, Aihui
收藏  |  浏览/下载：92/0  |  提交时间：2018/07/30
eigenvalue  electronic structure  finite element  finite volume  high order  symmetric  
RICHARDSON EXTRAPOLATION AND DEFECT CORRECTION OF FINITE ELEMENT METHODS FOR OPTIMAL CONTROL PROBLEMS 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2010, 卷号: 28, 期号: 1, 页码: 55-71
作者:  Liu, Tang;  Yan, Ningning;  Zhang, Shuhua
收藏  |  浏览/下载：107/0  |  提交时间：2018/07/30
Optimal control problem  Finite element methods  Asymptotic error expansions  Defect correction  A posteriori error estimates