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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  
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  
Hybrid Regularized Cone-Beam Reconstruction for Axially Symmetric Object Tomography 期刊论文
ACTA MATHEMATICA SCIENTIA, 2021, 页码: 17
作者:  Li, Xinge;  Wei, Suhua;  Xu, Haibo;  Chen, Chong
收藏  |  浏览/下载：108/0  |  提交时间：2022/04/02
high-energy X-ray radiography  cone-beam global reconstruction  inverse problem  total variation  alternating proximal gradient method  
A NEW ADAPTIVE SUBSPACE MINIMIZATION THREE-TERM CONJUGATE GRADIENT ALGORITHM FOR UNCONSTRAINED OPTIMIZATION 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2021, 卷号: 39, 期号: 2, 页码: 159-177
作者:  Zhang, Keke;  Liu, Hongwei;  Liu, Zexian
收藏  |  浏览/下载：140/0  |  提交时间：2021/01/14
Conjugate gradient method  Nonmonotone line search  Subspace minimization  Sufficient descent condition  Global convergence  
A novel semi-discrete scheme preserving uniformly exponential stability for an Euler-Bernoulli beam 期刊论文
SYSTEMS & CONTROL LETTERS, 2019, 卷号: 134, 页码: 10
作者:  Liu, Jiankang;  Guo, Bao-Zhu
收藏  |  浏览/下载：138/0  |  提交时间：2020/05/24
Beam equation  Finite volume method  Finite difference method  Exponential stability  Uniform approximation  
Image Fusion Based on Kernel Estimation and Data Envelopment Analysis 期刊论文
INTERNATIONAL JOURNAL OF INFORMATION TECHNOLOGY & DECISION MAKING, 2019, 卷号: 18, 期号: 2, 页码: 487-515
作者:  Xie, Qiwei;  Chen, Xi;  Li, Lin;  Rao, Kaifeng;  Tao, Luo;  Ma, Chao
收藏  |  浏览/下载：204/0  |  提交时间：2020/01/10
Data envelopment analysis  image fusion  mutual information  
High order well-balanced discontinuous Galerkin methods for Euler equations at isentropic equilibrium state under gravitational fields 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2018, 卷号: 329, 页码: 23-37
作者:  Qian, Shouguo;  Liu, Yu;  Li, Gang;  Yuan, Li
收藏  |  浏览/下载：143/0  |  提交时间：2018/07/30
Euler equations  Isentropic equilibrium state  Discontinuous Galerkin methods  Well-balanced property  Gravitational fields  
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：151/0  |  提交时间：2018/07/30
blood flow model  discontinuous Galerkin method  finite volume WENO scheme  hydrostatic reconstruction  source term  well-balanced property  
A Novel Manifold Regularized Online Semi-supervised Learning Model 期刊论文
COGNITIVE COMPUTATION, 2018, 卷号: 10, 期号: 1, 页码: 49-61
作者:  Ding, Shuguang;  Xi, Xuanyang;  Liu, Zhiyong;  Qiao, Hong;  Zhang, Bo
收藏  |  浏览/下载：259/0  |  提交时间：2018/07/30
Human learning  Manifold regularization  Online semi-supervised learning  Lagrange dual problem  
Positive solutions for singular elliptic systems with convection term 期刊论文
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2017, 卷号: 19, 期号: 3, 页码: 2165-2175
作者:  Motreanu, Dumitru;  Moussaoui, Abdelkrim;  Zhang, Zhitao
收藏  |  浏览/下载：94/0  |  提交时间：2018/07/30
Singular system  convection term  Schauder's fixed-point theorem  regularity