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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  
Unbound States in an Almost Infinite Deep Potential 期刊论文
ANNALEN DER PHYSIK, 2022, 页码: 4
Authors:  Liu, Tong;  Xia, Xu
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bounded states  infinite deep potential  mobility edge  quasiperiodic  unbound states  
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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Distributed stochastic gradient tracking methods with momentum acceleration for non-convex optimization 期刊论文
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2022, 页码: 42
Authors:  Gao, Juan;  Liu, Xin-Wei;  Dai, Yu-Hong;  Huang, Yakui;  Gu, Junhua
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Distributed non-convex optimization  Machine learning  Momentum methods  Optimization algorithms  Convergence rate  
A fourth-order unfitted characteristic finite element method for free-boundary problems 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 469, 页码: 19
Authors:  Ma, Chuwen;  Zheng, Weiying
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Free-boundary problems  Unfitted characteristic finite element  methods  Convection-diffusion equation  Navier-Stokes equations  
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  
Hamiltonian Particle-in-Cell methods for Vlasov-Poisson equations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 467, 页码: 20
Authors:  Gu, Anjiao;  He, Yang;  Sun, Yajuan
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Vlasov-Poisson system  Poisson bracket  Finite element method  Structure-preserving algorithm  Hamiltonian splitting method  
A splitting semi-implicit Euler method for stochastic incompressible Euler equations on T-2 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2022, 页码: 29
Authors:  Hong, Jialin;  Sheng, Derui;  Zhou, Tau
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stochastic incompressible Euler equation  convergence order  splitting semi-implicit Euler method  
Poisson Integrators Based on Splitting Method for Poisson Systems 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2022, 卷号: 32, 期号: 4, 页码: 1129-1155
Authors:  Zhu, Beibei;  Ji, Lun;  Zhu, Aiqing;  Tang, Yifa
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Poisson systems  Poisson integrators  splitting method  energy conservation