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Optimal design for kernel interpolation: Applications to uncertainty quantification 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2021, 卷号: 430, 页码: 19
Authors:  Narayan, Akil;  Yan, Liang;  Zhou, Tao
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Kernel interpolation  Fekete points  Cholesky decomposition with pivoting  Hermite interpolation  Uncertainty quantification  
Modulus-based multigrid methods for linear complementarity problems 期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2017, 卷号: 24, 期号: 6, 页码: 15
Authors:  Bai, Zhong-Zhi;  Zhang, Li-Li
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asymptotic convergence factor  linear complementarity problem  local Fourier analysis  modulus-based matrix splitting iteration  multigrid method  
Analysis on inexact block diagonal preconditioners for elliptic PDE-constrained optimization problems 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2017, 卷号: 74, 期号: 10, 页码: 2423-2437
Authors:  Huang, Na;  Ma, Chang-Feng
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PDE-constrained optimization  Saddle point matrices  Preconditioner  Cholesky decomposition  Spectral bound  
EFFICIENT SPECTRAL SPARSE GRID APPROXIMATIONS FOR SOLVING MULTI-DIMENSIONAL FORWARD BACKWARD SDES 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2017, 卷号: 22, 期号: 9, 页码: 3439-3458
Authors:  Fu, Yu;  Zhao, Weidong;  Zhou, Tao
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Spectral method  sparse grid approximations  forward backward stochastic differential equations  conditional expectations  fast Fourier transform  
Parallel numerical simulation of the thermal convection in the Earth's outer core on the cubed-sphere 期刊论文
GEOPHYSICAL JOURNAL INTERNATIONAL, 2017, 卷号: 209, 期号: 3, 页码: 1934-1954
Authors:  Yin, Liang;  Yang, Chao;  Ma, Shi-Zhuang;  Huang, Ji-Zu;  Cai, Ying
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Core  Dynamo: theories and simulations  Non-linear differential equations  Numerical solutions  
A NODAL SPARSE GRID SPECTRAL ELEMENT METHOD FOR MULTI-DIMENSIONAL ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS 期刊论文
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2017, 卷号: 14, 期号: 4-5, 页码: 762-783
Authors:  Rong, Zhijian;  Shen, Jie;  Yu, Haijun
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Sparse grid  spectral element method  high-dimensional problem  adaptive method  
Two-scale sparse finite element approximations 期刊论文
SCIENCE CHINA-MATHEMATICS, 2016, 卷号: 59, 期号: 4, 页码: 789-808
Authors:  Liu Fang;  Zhu JinWei
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combination  discretization  eigenvalue  finite element  postprocessing  two-scale  
A two-scale sparse grid method for a singularly perturbed reaction-diffusion problem in two dimensions 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2009, 卷号: 29, 期号: 4, 页码: 986-1007
Authors:  Liu, Fang;  Madden, Niall;  Stynes, Martin;  Zhou, Aihui
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reaction-diffusion  finite element  Shishkin mesh  two-scale discretization  sparse grid  
THE COMBINATION TECHNIQUE FOR A TWO-DIMENSIONAL CONVECTION-DIFFUSION PROBLEM WITH EXPONENTIAL LAYERS 期刊论文
APPLICATIONS OF MATHEMATICS, 2009, 卷号: 54, 期号: 3, 页码: 203-223
Authors:  Franz, Sebastian;  Liu, Fang;  Roos, Hans-Goerg;  Stynes, Martin;  Zhou, Aihui
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convection-diffusion  finite element  Shishkin mesh  two-scale discretization  
An algebraic multigrid method for higher-order finite element discretizations 期刊论文
COMPUTING, 2006, 卷号: 77, 期号: 4, 页码: 347-377
Authors:  Shu, S;  Sun, D;  Xu, J
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algebraic multigrid methods  high-order finite element  unstructured grids  geometric-based