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Error analysis of a conservative finite element scheme for time-dependent inductionless MHD problem 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2023, 卷号: 419, 页码: 22
作者:  Long, Xiaonian;  Ding, Qianqian;  Mao, Shipeng
收藏  |  浏览/下载：88/0  |  提交时间：2023/02/07
Inductionless magnetohydrodynamics  Current density conservation  Euler semi-implicit  Error estimate  Mixed finite element method  
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  
An Implicit Function-Based Adaptive Control Scheme for Noncanonical-Form Discrete-Time Neural-Network Systems 期刊论文
IEEE TRANSACTIONS ON CYBERNETICS, 2021, 卷号: 51, 期号: 12, 页码: 5728-5739
作者:  Zhang, Yanjun;  Tao, Gang;  Chen, Mou;  Chen, Wen;  Zhang, Zhengqiang
收藏  |  浏览/下载：129/0  |  提交时间：2022/04/02
Adaptive control  Uncertainty  Nonlinear systems  Adaptation models  Asymptotic stability  Stability analysis  Adaptive control  asymptotic output tracking  discrete time (DT)  implicit function  noncanonical form  
Subdivision based isogeometric analysis for geometric flows 期刊论文
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2021, 页码: 24
作者:  Pan, Qing;  Rabczuk, Timon;  Chen, Chong
收藏  |  浏览/下载：111/0  |  提交时间：2022/04/02
extended Loop subdivision  geometric flows  isogeometric analysis  
Error Estimate of a Fully Discrete Finite Element Method for Incompressible Vector Potential Magnetohydrodynamic System 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2021, 卷号: 88, 期号: 3, 页码: 24
作者:  Ding, Qianqian;  Long, Xiaonian;  Mao, Shipeng
收藏  |  浏览/下载：78/0  |  提交时间：2022/04/02
Magnetohydrodynamic  Magnetic vector potential  Finite element method  Error estimates  
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  
A New Exponential Compact Scheme for the Two-Dimensional Unsteady Nonlinear Burgers' and Navier-Stokes Equations in Polar Cylindrical Coordinates 期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2021, 卷号: 14, 期号: 2, 页码: 488-507
作者:  Mohanty, R. K.;  Yuan, Li;  Sharma, Divya
收藏  |  浏览/下载：151/0  |  提交时间：2021/04/26
Half-step discretization  compact scheme in exponential form  two-level implicit scheme  Burgers' equation  Navier-Stokes equations of motion  Taylor-vortex problem  
The immersed boundary-lattice Boltzmann method for solving solid-fluid interaction problem with Navier-slip boundary condition 期刊论文
COMPUTERS & FLUIDS, 2021, 卷号: 217, 页码: 10
作者:  Wang, Zhenyu;  He, Qiaolin;  Huang, Jizu
收藏  |  浏览/下载：136/0  |  提交时间：2021/04/26
Solid-fluid interaction problem  Lattice Boltzmann equations  Navier-slip boundary condition  Immerse boundary method  
A linearized ADI scheme for two-dimensional time-space fractional nonlinear vibration equations 期刊论文
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2021, 页码: 15
作者:  Zhang, Jingna;  Huang, Jianfei;  Aleroev, Temirkhan S.;  Tang, Yifa
收藏  |  浏览/下载：136/0  |  提交时间：2021/04/26
Time-space fractional nonlinear vibration equations  two dimensions  linearized ADI scheme  stability  convergence  
Variational inequality transport model on the sphere by the active-set reduced-space algorithm 期刊论文
COMPUTER PHYSICS COMMUNICATIONS, 2021, 卷号: 260, 页码: 10
作者:  Yang, Haijian;  Yang, Chao;  Huang, Jizu
收藏  |  浏览/下载：126/0  |  提交时间：2021/04/26
Transport problem on the sphere  Variational inequality  Parallel computing  Fully implicit scheme  Active-set reduced-space method