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A Robust Multilevel Preconditioner Based on a Domain Decomposition Method for the Helmholtz Equation 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2019, 卷号: 81, 期号: 1, 页码: 291-311
Authors:  Lu, Peipei;  Xu, Xuejun
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Multilevel method  Helmholtz equation  High wave number  Continuous interior penalty finite element method  GMRES method  Overlapping domain decomposition method  
Adaptive multi-fidelity polynomial chaos approach to Bayesian inference in inverse problems 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2019, 卷号: 381, 页码: 110-128
Authors:  Yan, Liang;  Zhou, Tao
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Bayesian inverse problems  Multi-fidelity polynomial chaos  Surrogate modeling  Markov chain Monte Carlo  
A new piecewise quadratic approximation approach for L-0 norm minimization problem 期刊论文
SCIENCE CHINA-MATHEMATICS, 2019, 卷号: 62, 期号: 1, 页码: 185-204
Authors:  Li, Qian;  Bai, Yanqin;  Yu, Changjun;  Yuan, Ya-xiang
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sparse optimization  non-convex approximation  iterative thresholding algorithm  
A Fast Algorithm for the Caputo Fractional Derivative 期刊论文
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2018, 卷号: 8, 期号: 4, 页码: 656-677
Authors:  Wang, Kun;  Huang, Jizu
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Caputo derivative  fast algorithm  polynomial approximation  error  graded mesh  
Multi-scale asymptotic analysis and computation of the elliptic eigenvalue problems in curvilinear coordinates 期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2018, 卷号: 340, 页码: 340-365
Authors:  Ma, Qiang;  Li, Zhihui;  Cui, Junzhi
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Homogenization method  Multi-scale asymptotic expansion  Eigenvalue problems  Finite element approximation  Coordinate transformation  
Distributed regression estimation with incomplete data in multi-agent networks 期刊论文
SCIENCE CHINA-INFORMATION SCIENCES, 2018, 卷号: 61, 期号: 9, 页码: 14
Authors:  Wang, Yinghui;  Lin, Peng;  Hong, Yiguang
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multi-agent systems  time-varying network  estimation with incomplete data  online learning  stochastic approximation  
High order well-balanced discontinuous Galerkin methods for Euler equations at isentropic equilibrium state under gravitational fields 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2018, 卷号: 329, 页码: 23-37
Authors:  Qian, Shouguo;  Liu, Yu;  Li, Gang;  Yuan, Li
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Euler equations  Isentropic equilibrium state  Discontinuous Galerkin methods  Well-balanced property  Gravitational fields  
Strong convergence and bounded perturbation resilience of a modified proximal gradient algorithm 期刊论文
Journal of Inequalities and Applications, 2018, 卷号: 2018, 期号: 1
Authors:  Guo,Yanni;  Cui,Wei
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Strong convergence  Bounded perturbation resilience  Modified proximal gradient algorithm  Viscosity approximation  Convex minimization problem  
Distributed resource allocation over random networks based on stochastic approximation 期刊论文
SYSTEMS & CONTROL LETTERS, 2018, 卷号: 114, 页码: 44-51
Authors:  Yi, Peng;  Lei, Jinlong;  Hong, Yiguang
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Distributed optimization  Resource allocation  Stochastic approximation  Random graph  Demand response  
Fast evaluation and high accuracy finite element approximation for the time fractional subdiffusion equation 期刊论文
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2018, 卷号: 34, 期号: 2, 页码: 705-730
Authors:  Ren, Jincheng;  Mao, Shipeng;  Zhang, Jiwei
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fast convolution algorithm  finite element method  fractional subdiffusion equation  fully discrete scheme  superconvergence estimate