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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
Authors:  Magron, Victor;  Wang, Jie
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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
Authors:  Pan, Qing;  Chen, Chong;  Zhang, Yongjie Jessica;  Yang, Xiaofeng
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Loop subdivision  IGA-EIEQ  Decoupled  Unconditional energy stability  Allen-Cahn  Cahn-Hilliard  
Design of boundary pulse width modulation controller for a class of heat equations 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2023, 卷号: 437, 页码: 16
Authors:  Zong, Xiju;  Zhang, Ji-Feng;  Zheng, Jiangtao;  Liu, Zengxin;  Ma, Guoyao
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Heat equation  Boundary PWM control  Multi-agent systems  Synchronization control  
Numerical computation of probabilities for nonlinear SDEs in high dimension using Kolmogorov equation br 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2023, 卷号: 436, 页码: 17
Authors:  Flandoli, Franco;  Luo, Dejun;  Ricci, Cristiano
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High dimensional Kolmogorov equation  Numerical solution  Iteration scheme  Gaussian process  
A NOVEL AUGMENTED LAGRANGIAN METHOD OF MULTIPLIERS FOR OPTIMIZATION WITH GENERAL INEQUALITY CONSTRAINTS 期刊论文
MATHEMATICS OF COMPUTATION, 2022, 页码: 30
Authors:  Liu, Xin-Wei;  Dai, Yu-Hong;  Huang, Ya-Kui;  Sun, Jie
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Nonlinear programming  inequality-constrained optimization  augmented Lagrangian method of multipliers  strong global convergence  local convergence  
Direct numerical simulation of compressible turbulence accelerated by graphics processing unit: An open-source high accuracy accelerated computational fluid dynamic software 期刊论文
PHYSICS OF FLUIDS, 2022, 卷号: 34, 期号: 12, 页码: 20
Authors:  Dang, Guanlin;  Liu, Shiwei;  Guo, Tongbiao;  Duan, Junyi;  Li, Xinliang
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Direct numerical simulation of compressible turbulence accelerated by graphics processing unit: An open-access database of high-resolution direct numerical simulation 期刊论文
AIP ADVANCES, 2022, 卷号: 12, 期号: 12, 页码: 17
Authors:  Dang, Guanlin;  Liu, Shiwei;  Guo, Tongbiao;  Duan, Junyi;  Li, Xinliang
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From stabilizer states to SIC-POVM fiducial states 期刊论文
THEORETICAL AND MATHEMATICAL PHYSICS, 2022, 卷号: 213, 期号: 3, 页码: 1747-1761
Authors:  Feng, Lingxuan;  Luo, Shunlong
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stabilizer states  SIC-POVMs  fiducial states  p-norms  Zauner's conjecture  
Stochastic higher-order three-scale strength prediction model for composite structures with micromechanical analysis 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 465, 页码: 30
Authors:  Dong, Hao;  Yang, Zihao;  Guan, Xiaofei;  Cui, Junzhi
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Composite structures  Multiscale random configurations  SHTSP model  Multilevel strategy  Strength prediction  
Asymptotic anatomy of the Berry phase for scalar waves in two-dimensional periodic continua 期刊论文
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2022, 卷号: 478, 期号: 2262, 页码: 28
Authors:  Guzina, Bojan B.;  Oudghiri-Idrissi, Othman;  Meng, Shixu
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Berry phase  asymptotic model  scalar wave equation  Berry phase computation