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Exploratory Adversarial Attacks on Graph Neural Networks for Semi-Supervised Node Classification 期刊论文
PATTERN RECOGNITION, 2023, 卷号: 133, 页码: 12
作者:  Lin, Xixun;  Zhou, Chuan;  Wu, Jia;  Yang, Hong;  Wang, Haibo;  Cao, Yanan;  Wang, Bin
收藏  |  浏览/下载：120/0  |  提交时间：2023/02/07
Gradient -based attacks  Maximal gradient  Graph neural networks  Semi-supervised node classification  
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：71/0  |  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  
Energy-preserving fully-discrete schemes for nonlinear stochastic wave equations with multiplicative noise 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 451, 页码: 20
作者:  Hong, Jialin;  Hou, Baohui;  Sun, Liying
收藏  |  浏览/下载：124/0  |  提交时间：2022/04/29
Compact finite difference method  Interior penalty discontinuous Galerkin finite element method  Pade approximation  Averaged energy evolution law  Stochastic wave equation  Multiplicative noise  
IMPROVED DISCRETE BOUNDARY TYPE SHAPE GRADIENTS FOR PDE-CONSTRAINED SHAPE OPTIMIZATION 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2022, 卷号: 44, 期号: 4, 页码: A2464-A2505
作者:  Gong, Wei;  Li, Jiajie;  Zhu, Shengfeng
收藏  |  浏览/下载：74/0  |  提交时间：2023/02/07
shape optimization  shape gradient  boundary formulation  boundary correction  gradient recovery  finite element method  
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：105/0  |  提交时间：2022/04/02
high-energy X-ray radiography  cone-beam global reconstruction  inverse problem  total variation  alternating proximal gradient method  
NUMERICAL INVESTIGATION OF ENSEMBLE METHODS WITH BLOCK ITERATIVE SOLVERS FOR EVOLUTION PROBLEMS 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2020, 卷号: 25, 期号: 12, 页码: 4905-4923
作者:  Ju, Lili;  Leng, Wei;  Wang, Zhu;  Yuan, Shuai
收藏  |  浏览/下载：202/0  |  提交时间：2021/01/14
Ensemble method  ensemble-based time stepping  block CG  block GMRES  iterative linear solver  
Fast matrix splitting preconditioners for higher dimensional spatial fractional diffusion equations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2020, 卷号: 404, 页码: 13
作者:  Bai, Zhong-Zhi;  Lu, Kang-Ya
收藏  |  浏览/下载：151/0  |  提交时间：2020/05/24
Spatial fractional diffusion equations  Shifted finite-difference discretization  Block Toeplitz-like matrix  Block circulant-like matrix  Preconditioning  Eigenvalue distribution  
A NOVEL LEAST SQUARES METHOD FOR HELMHOLTZ EQUATIONS WITH LARGE WAVE NUMBERS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2020, 卷号: 58, 期号: 5, 页码: 3091-3123
作者:  Hu, Qiya;  Song, Rongrong
收藏  |  浏览/下载：140/0  |  提交时间：2021/01/14
Helmholtz equations  inhomogeneous media  large wave number  auxiliary unknowns  least squares  error estimates  preconditioner  
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：135/0  |  提交时间：2020/05/24
Beam equation  Finite volume method  Finite difference method  Exponential stability  Uniform approximation  
Energy-preserving algorithm for gyrocenter dynamics of charged particles 期刊论文
NUMERICAL ALGORITHMS, 2019, 卷号: 81, 期号: 4, 页码: 1521-1530
作者:  Zhang, Ruili;  Liu, Jian;  Qin, Hong;  Tang, Yifa
收藏  |  浏览/下载：167/0  |  提交时间：2020/01/10
Energy-preserving algorithm  Gyrocenter system  Discrete gradient method