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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  
System identification under saturated precise or set-valued measurements 期刊论文
SCIENCE CHINA-INFORMATION SCIENCES, 2023, 卷号: 66, 期号: 1, 页码: 20
Authors:  Zhao, Yanlong;  Zhang, Hang;  Wang, Ting;  Kang, Guolian
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system identification  Cramer-Rao lower bound  truncated data  precise measurement  set-valued measurement  
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
Authors:  Hu, Guanghui;  Xie, Hehu;  Xu, Fei
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Kohn-Sham equation  Multilevel correction method  Finite element method  Separately handing nonlinear terms  Parallel computing  
Hermite spectral method for multi-species Boltzmann equation 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 471, 页码: 29
Authors:  Li, Ruo;  Lu, Yixiao;  Wang, Yanli;  Xu, Haoxuan
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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
Authors:  Chen, Wei-Kun;  Chen, Liang;  Dai, Yu-Hong
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Integer programming  Cutting plane  Sequential lifting  MIR inequality  Separation algorithm  
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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Data completion algorithms and their applications in inverse acoustic scattering with limited-aperture backscattering data 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 469, 页码: 17
Authors:  Dou, Fangfang;  Liu, Xiaodong;  Meng, Shixu;  Zhang, Bo
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Inverse acoustic scattering  Limited aperture  Backscattering data  Data completion  Direct sampling method  Factorization method  
Parallel multi-stage preconditioners with adaptive setup for the black oil model 期刊论文
COMPUTERS & GEOSCIENCES, 2022, 卷号: 168, 页码: 16
Authors:  Zhao, Li;  Feng, Chunsheng;  Zhang, Chen-Song;  Shu, Shi
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Black oil model  Fully implicit method  Parallel computing  Multi-color Gauss-Seidel smoother  Multi-stage preconditioners  
Data-driven rogue waves and parameters discovery in nearly integrable PT-symmetric Gross-Pitaevskii equations via PINNs deep learning 期刊论文
PHYSICA D-NONLINEAR PHENOMENA, 2022, 卷号: 439, 页码: 12
Authors:  Zhong, Ming;  Gong, Shibo;  Tian, Shou-Fu;  Yan, Zhenya
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GeneralizedGrossPitaevskiiequation  ComplexPT-symmetricpotentials  Physics-informeddeepneuralnetworks  Data-driven rogue waves and parameters discovery discovery