Stochastic Collocation Methods via $\ell_1$ Minimization Using Randomized Quadratures

Ling Guo; Akil Narayan; Tao Zhou; Yuhang Chen

doi:10.1137/16m1059680

Stochastic Collocation Methods via $\ell_1$ Minimization Using Randomized Quadratures

SIAM Journal on Scientific Computing ◽

10.1137/16m1059680 ◽

2017 ◽

Vol 39 (1) ◽

pp. A333-A359 ◽

Cited By ~ 8

Author(s):

Ling Guo ◽

Akil Narayan ◽

Tao Zhou ◽

Yuhang Chen

Keyword(s):

Collocation Methods ◽

Stochastic Collocation ◽

Stochastic Collocation Methods

Download Full-text

Comparison of stochastic reduced order model and stochastic collocation methods for the sensitivity analysis of crosstalk

Tenth International Conference on Computational Electromagnetics (CEM 2019) ◽

10.1049/cp.2019.0118 ◽

2019 ◽

Author(s):

Zhouxiang Fei ◽

Yi Huang ◽

Jiafeng Zhou ◽

Chaoyun Song

Keyword(s):

Sensitivity Analysis ◽

Reduced Order Model ◽

Collocation Methods ◽

Stochastic Collocation ◽

Order Model ◽

Reduced Order ◽

Stochastic Collocation Methods

Download Full-text

Convergence Analysis for Stochastic Collocation Methods to Scalar Hyperbolic Equations with a Random Wave Speed

Communications in Computational Physics ◽

10.4208/cicp.060109.130110a ◽

2010 ◽

Vol 8 (1) ◽

pp. 226-248 ◽

Cited By ~ 20

Author(s):

Tao Tang and Tao Zhou

Keyword(s):

Convergence Analysis ◽

Wave Speed ◽

Hyperbolic Equations ◽

Collocation Methods ◽

Random Wave ◽

Stochastic Collocation ◽

Stochastic Collocation Methods

Download Full-text

Convergence Analysis of Stochastic Collocation Methods for Maxwell Equations with Random Inputs

Numerical Mathematics Theory Methods and Applications ◽

10.4208/nmtma.oa-2018-0023 ◽

2019 ◽

Vol 12 (3) ◽

pp. 824-844

Author(s):

Lizheng Cheng

Keyword(s):

Convergence Analysis ◽

Maxwell Equations ◽

Collocation Methods ◽

Stochastic Collocation ◽

Random Inputs ◽

Stochastic Collocation Methods

Download Full-text

Error estimation in high dimensional space for stochastic collocation methods on arbitrary sparse samples

10.1063/1.4825645 ◽

2013 ◽

Author(s):

Rick Archibald

Keyword(s):

Error Estimation ◽

Dimensional Space ◽

Collocation Methods ◽

High Dimensional ◽

Stochastic Collocation ◽

High Dimensional Space ◽

Stochastic Collocation Methods ◽

Sparse Samples

Download Full-text

Recent Advances in Non-Intrusive Polynomial Chaos and Stochastic Collocation Methods for Uncertainty Analysis and Design

50th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference ◽

10.2514/6.2009-2274 ◽

2009 ◽

Cited By ~ 144

Author(s):

Michael Eldred

Keyword(s):

Uncertainty Analysis ◽

Polynomial Chaos ◽

Collocation Methods ◽

Stochastic Collocation ◽

Analysis And Design ◽

Recent Advances ◽

Stochastic Collocation Methods

Download Full-text

Accelerating Stochastic Collocation Methods for Partial Differential Equations with Random Input Data

SIAM/ASA Journal on Uncertainty Quantification ◽

10.1137/15m1019568 ◽

2016 ◽

Vol 4 (1) ◽

pp. 1111-1137 ◽

Cited By ~ 2

Author(s):

D. Galindo ◽

P. Jantsch ◽

C. G. Webster ◽

G. Zhang

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Input Data ◽

Collocation Methods ◽

Stochastic Collocation ◽

Random Input ◽

Partial Differential ◽

Stochastic Collocation Methods ◽

Random Input Data

Download Full-text

Analysis and Application of Stochastic Collocation Methods for Maxwell’s Equations with Random Inputs

Advances in Applied Mathematics and Mechanics ◽

10.4208/aamm.oa-2018-0101 ◽

2018 ◽

Vol 10 (6) ◽

pp. 1305-1326 ◽

Cited By ~ 1

Author(s):

Jichun Li and Zhiwei Fang

Keyword(s):

Maxwell’S Equations ◽

Maxwell's Equations ◽

Collocation Methods ◽

Stochastic Collocation ◽

Random Inputs ◽

Stochastic Collocation Methods

Download Full-text

Stochastic Collocation Methods via Minimisation of the Transformed L1-Penalty

East Asian Journal on Applied Mathematics ◽

10.4208/eajam.060518.130618 ◽

2018 ◽

Vol 8 (3) ◽

pp. 566-585

Author(s):

Ling Guo

Keyword(s):

Collocation Methods ◽

Stochastic Collocation ◽

Stochastic Collocation Methods

Download Full-text

Stochastic Collocation Methods: A Survey

Handbook of Uncertainty Quantification ◽

10.1007/978-3-319-12385-1_26 ◽

2017 ◽

pp. 699-716 ◽

Cited By ~ 1

Author(s):

Dongbin Xiu

Keyword(s):

Collocation Methods ◽

Stochastic Collocation ◽

Stochastic Collocation Methods

Download Full-text

Ensemble Grouping Strategies for Embedded Stochastic Collocation Methods Applied to Anisotropic Diffusion Problems

SIAM/ASA Journal on Uncertainty Quantification ◽

10.1137/16m1066324 ◽

2018 ◽

Vol 6 (1) ◽

pp. 87-117 ◽

Cited By ~ 3

Author(s):

M. D'Elia ◽

H. C. Edwards ◽

J. Hu ◽

E. Phipps ◽

S. Rajamanickam

Keyword(s):

Anisotropic Diffusion ◽

Collocation Methods ◽

Stochastic Collocation ◽

Grouping Strategies ◽

Stochastic Collocation Methods ◽

Diffusion Problems

Download Full-text