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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
Favorite  |  View/Download：86/0  |  Submit date：2021/04/26
Kernel interpolation  Fekete points  Cholesky decomposition with pivoting  Hermite interpolation  Uncertainty quantification  
Constructing Least-Squares Polynomial Approximations 期刊论文
SIAM REVIEW, 2020, 卷号: 62, 期号: 2, 页码: 483-508
Authors:  Guo, Ling;  Narayan, Akil;  Zhou, Tao
Favorite  |  View/Download：81/0  |  Submit date：2020/09/23
least-squares approximations  optimal sampling  polynomial approximations  
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：95/0  |  Submit date：2018/07/30
uncertainty quantification  least-squares approximations  Fekete points  QR decomposition  
A CHRISTOFFEL FUNCTION WEIGHTED LEAST SQUARES ALGORITHM FOR COLLOCATION APPROXIMATIONS 期刊论文
MATHEMATICS OF COMPUTATION, 2017, 卷号: 86, 期号: 306, 页码: 1913-1947
Authors:  Narayan, Akil;  Jakeman, John D.;  Zhou, Tao
Favorite  |  View/Download：61/0  |  Submit date：2018/07/30
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：58/0  |  Submit date：2018/07/30
uncertainty quantification  polynomial chaos  compressed sensing  
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：71/0  |  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：61/0  |  Submit date：2018/07/30
Stochastic collocation  unstructured methes  least-squares  compressive sampling  least interpolation