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Understanding the acceleration phenomenon via high-resolution differential equations 期刊论文
MATHEMATICAL PROGRAMMING, 2022, 卷号: 195, 期号: 1-2, 页码: 79-148
作者:  Shi, Bin;  Du, Simon S.;  Jordan, Michael, I;  Su, Weijie J.
收藏  |  浏览/下载：73/0  |  提交时间：2023/02/07
Convex optimization  First-order method  Polyak's heavy ball method  Nesterov's accelerated gradient methods  Ordinary differential equation  Lyapunov function  Gradient minimization  
Quasi-equivalence of heights in algebraic function fields of one variable 期刊论文
ADVANCES IN APPLIED MATHEMATICS, 2022, 卷号: 139, 页码: 28
作者:  Feng, Ruyong;  Feng, Shuang;  Shen, Li-Yong
收藏  |  浏览/下载：100/0  |  提交时间：2023/02/07
Height  Algebraic curve  Riemann-Roch space  
Linearization of nonlinear Fokker-Planck equations and applications 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, 卷号: 322, 页码: 1-37
作者:  Ren, Panpan;  Roeckner, Michael;  Wang, Feng-Yu
收藏  |  浏览/下载：78/0  |  提交时间：2023/02/07
Nonlinear Fokker-Planck equation  McKean-Vlasov stochastic differential equation  Diffusion process  Ergodicity  Feynman-Kac formula  
ON LAURENT BIORTHOGONAL POLYNOMIALS AND PAINLEVE-TYPE EQUATIONS 期刊论文
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2022, 页码: 13
作者:  Yue, Xiao-Lu;  Chang, Xiang-Ke;  Hu, Xing-Biao;  Liu, Ya-Jie
收藏  |  浏览/下载：81/0  |  提交时间：2023/02/07
   Laurent biorthogonal polynomials  three-term recurrence relation  structure relation  compatibility condition  Painlev? equations  
Numerical simulations for optimised flow of second-grade nanofluid due to rotating disk with nonlinear thermal radiation: Chebyshev spectral collocation method analysis 期刊论文
PRAMANA-JOURNAL OF PHYSICS, 2022, 卷号: 96, 期号: 2, 页码: 10
作者:  Alsallami, Shami A. M.;  Usman;  Khan, Sami Ullah;  Ghaffari, Abuzar;  Khan, M. Ijaz;  El-Shorbagy, M. A.;  Khan, M. Riaz
收藏  |  浏览/下载：70/0  |  提交时间：2023/02/07
Radiative flow  viscoelastic nanofluid  Brownian motion and thermophoretic diffusion  Chebyshev spectral collocation method  65  40  gd  88  20  td  44  
Averaging principle and normal deviations for multi-scale stochastic hyperbolic-parabolic equations 期刊论文
STOCHASTICS AND PARTIAL DIFFERENTIAL EQUATIONS-ANALYSIS AND COMPUTATIONS, 2022, 页码: 39
作者:  Roeckner, Michael;  Xie, Longjie;  Yang, Li
收藏  |  浏览/下载：114/0  |  提交时间：2022/04/29
Stochastic hyperbolic-parabolic equations  Averaging principle  Strong and weak convergence  Homogenization  
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：169/0  |  提交时间：2021/06/01
Time-space fractional vibration equations  ADI scheme  stability  convergence  
A superlinear convergence scheme for the multi-term and distribution-order fractional wave equation with initial singularity 期刊论文
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2021, 页码: 16
作者:  Huang, Jianfei;  Zhang, Jingna;  Arshad, Sadia;  Tang, Yifa
收藏  |  浏览/下载：143/0  |  提交时间：2021/04/26
distribution-order derivative  fractional wave equations  initial singularity  multi-term fractional derivatives  superlinear convergence  
A numerical method for two-dimensional multi-term time-space fractional nonlinear diffusion-wave equations 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2021, 卷号: 159, 页码: 159-173
作者:  Huang, Jianfei;  Zhang, Jingna;  Arshad, Sadia;  Tang, Yifa
收藏  |  浏览/下载：196/0  |  提交时间：2021/01/14
Multi-term time-space derivatives  Fractional nonlinear diffusion-wave equations  Finite difference schemes  Stability  Convergence  Fast ADI scheme  
Oscillatory behavior of second-order nonlinear neutral differential equations 期刊论文
ADVANCES IN DIFFERENCE EQUATIONS, 2020, 卷号: 2020, 期号: 1, 页码: 8
作者:  Liu, Jun;  Liu, Xi;  Yu, Yuanhong
收藏  |  浏览/下载：143/0  |  提交时间：2020/09/23
Oscillation  Neutral differential equation  Riccati transformation