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On Generalizations of p-Sets and their Applications 期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2019, 卷号: 12, 期号: 2, 页码: 453-466
Authors:  Zhou, Heng;  Xu, Zhiqiang
Favorite  |  View/Download:21/0  |  Submit date:2019/03/05
p-set  deterministic sampling  numerical integral  exponential sum  
Data-driven polynomial chaos expansions: A weighted least-square approximation 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2019, 卷号: 381, 页码: 129-145
Authors:  Guo, Ling;  Liu, Yongle;  Zhou, Tao
Favorite  |  View/Download:14/0  |  Submit date:2019/03/11
Uncertainty quantification  Data-driven polynomial chaos expansions  Weighted least-squares  Equilibrium measure  
AN ADAPTIVE MULTIFIDELITY PC-BASED ENSEMBLE KALMAN INVERSION FOR INVERSE PROBLEMS 期刊论文
INTERNATIONAL JOURNAL FOR UNCERTAINTY QUANTIFICATION, 2019, 卷号: 9, 期号: 3, 页码: 205-220
Authors:  Yan, Liang;  Zhou, Tao
Favorite  |  View/Download:12/0  |  Submit date:2020/01/10
Bayesian inverse problems  ensemble Kalman inversion  multifidelity polynomial chaos  surrogate modeling  
A Gradient-Enhanced l(1) Approach for the Recovery of Sparse Trigonometric Polynomials 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2018, 卷号: 24, 期号: 1, 页码: 286-308
Authors:  Xu, Zhiqiang;  Zhou, Tao
Favorite  |  View/Download:13/0  |  Submit date:2019/03/05
Gradient-enhanced l(1) minimization  compressed sensing  sparse Fourier expansions  restricted isometry property  mutual incoherence  
WEIGHTED APPROXIMATE FEKETE POINTS: SAMPLING FOR LEAST-SQUARES POLYNOMIAL APPROXIMATION 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2018, 卷号: 40, 期号: 1, 页码: A366-A387
Authors:  Guo, Ling;  Narayan, Akil;  Yan, Liang;  Zhou, Tao
Favorite  |  View/Download:10/0  |  Submit date:2018/07/30
uncertainty quantification  least-squares approximations  Fekete points  QR decomposition  
A GENERALIZED SAMPLING AND PRECONDITIONING SCHEME FOR SPARSE APPROXIMATION OF POLYNOMIAL CHAOS EXPANSIONS 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2017, 卷号: 39, 期号: 3, 页码: A1114-A1144
Authors:  Jakeman, John D.;  Narayan, Akil;  Zhou, Tao
Favorite  |  View/Download:4/0  |  Submit date:2018/07/30
uncertainty quantification  polynomial chaos  compressed sensing  
A multilevel finite element method for Fredholm integral eigenvalue problems 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2015, 卷号: 303, 页码: 173-184
Authors:  Xie, Hehu;  Zhou, Tao
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Uncertainty quantification  Karhunen-Loeve expansion  Fredholm eigenvalue problem  Multigrid finite element  
Weighted discrete least-squares polynomial approximation using randomized quadratures 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2015, 卷号: 298, 页码: 787-800
Authors:  Zhou, Tao;  Narayan, Akil;  Xiu, Dongbin
Favorite  |  View/Download:7/0  |  Submit date:2018/07/30
Least squares method  Orthogonal polynomials  Generalized polynomial chaos  Uncertainty quantification  
Stochastic Collocation on Unstructured Multivariate Meshes 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2015, 卷号: 18, 期号: 1, 页码: 1-36
Authors:  Narayan, Akil;  Zhou, Tao
Favorite  |  View/Download:3/0  |  Submit date:2018/07/30
Stochastic collocation  unstructured methes  least-squares  compressive sampling  least interpolation  
不确定性量化的高精度数值方法和理论 期刊论文
中国科学数学, 2015, 卷号: 45, 期号: 7, 页码: 891
Authors:  汤涛;  周涛
Favorite  |  View/Download:2/0  |  Submit date:2020/01/10