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SONC optimization and exact nonnegativity certificates via second-order cone programming 期刊论文
JOURNAL OF SYMBOLIC COMPUTATION, 2023, 卷号: 115, 页码: 346-370
作者:  Magron, Victor;  Wang, Jie
收藏  |  浏览/下载：118/0  |  提交时间：2023/02/07
Sum of nonnegative circuit polynomials  Second -order cone programming  Polynomial optimization  Sum of binomial squares  Rounding -projection algorithm  Exact nonnegativity certificate  
A novel hybrid IGA-EIEQ numerical method for the Allen-Cahn/Cahn-Hilliard equations on complex curved surfaces 期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2023, 卷号: 404, 页码: 21
作者:  Pan, Qing;  Chen, Chong;  Zhang, Yongjie Jessica;  Yang, Xiaofeng
收藏  |  浏览/下载：111/0  |  提交时间：2023/02/07
Loop subdivision  IGA-EIEQ  Decoupled  Unconditional energy stability  Allen-Cahn  Cahn-Hilliard  
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：89/0  |  提交时间：2023/02/07
Inductionless magnetohydrodynamics  Current density conservation  Euler semi-implicit  Error estimate  Mixed finite element method  
On accelerating a multilevel correction adaptive finite element method for Kohn-Sham equation 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2023, 卷号: 472, 页码: 22
作者:  Hu, Guanghui;  Xie, Hehu;  Xu, Fei
收藏  |  浏览/下载：86/0  |  提交时间：2023/02/07
Kohn-Sham equation  Multilevel correction method  Finite element method  Separately handing nonlinear terms  Parallel computing  
A NOVEL AUGMENTED LAGRANGIAN METHOD OF MULTIPLIERS FOR OPTIMIZATION WITH GENERAL INEQUALITY CONSTRAINTS 期刊论文
MATHEMATICS OF COMPUTATION, 2022, 页码: 30
作者:  Liu, Xin-Wei;  Dai, Yu-Hong;  Huang, Ya-Kui;  Sun, Jie
收藏  |  浏览/下载：78/0  |  提交时间：2023/02/07
Nonlinear programming  inequality-constrained optimization  augmented Lagrangian method of multipliers  strong global convergence  local convergence  
VPNets: Volume-preserving neural networks for learning source-free dynamics 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2022, 卷号: 416, 页码: 12
作者:  Zhu, Aiqing;  Zhu, Beibei;  Zhang, Jiawei;  Tang, Yifa;  Liu, Jian
收藏  |  浏览/下载：62/0  |  提交时间：2023/02/07
Deep learning  Neural networks  Discovery of dynamics  Source-free dynamics  Volume-preserving  
Dynamics of 1D and 3D quantum droplets in parity-time-symmetric harmonic-Gaussian potentials with two competing nonlinearities 期刊论文
PHYSICA D-NONLINEAR PHENOMENA, 2022, 卷号: 442, 页码: 15
作者:  Song, Jin;  Yan, Zhenya
收藏  |  浏览/下载：65/0  |  提交时间：2023/02/07
Amended Gross-Pitaevskii equations  PT -symmetric potential  Quantum droplets  Stable solitons  Soliton interactions and excitations  
Hermite spectral method for multi-species Boltzmann equation 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 471, 页码: 29
作者:  Li, Ruo;  Lu, Yixiao;  Wang, Yanli;  Xu, Haoxuan
收藏  |  浏览/下载：66/0  |  提交时间：2023/02/07
Multi-species Boltzmann equation  Multi-species binary collision operator  Hermite spectral method  
Lifting for the integer knapsack cover polyhedron 期刊论文
JOURNAL OF GLOBAL OPTIMIZATION, 2022, 页码: 45
作者:  Chen, Wei-Kun;  Chen, Liang;  Dai, Yu-Hong
收藏  |  浏览/下载：77/0  |  提交时间：2023/02/07
Integer programming  Cutting plane  Sequential lifting  MIR inequality  Separation algorithm  
Certifying global optimality of AC-OPF solutions via sparse polynomial optimization 期刊论文
ELECTRIC POWER SYSTEMS RESEARCH, 2022, 卷号: 213, 页码: 9
作者:  Wang, Jie;  Magron, Victor;  Lasserre, Jean B.
收藏  |  浏览/下载：70/0  |  提交时间：2023/02/07
Sparse moment-SOS hierarchy  CS-TSSOS hierarchy  Global optimality  Lasserre?s hierarchy  Large-scale polynomial optimization  Optimal power flow