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Enhancing sparsity of Hermite polynomial expansions by iterative rotations · Study

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ArticleEnhancing sparsity of Hermite polynomial expansions by iterative rotations

Xiu Yang2015

OA

Articlebronze2015

Enhancing sparsity of Hermite polynomial expansions by iterative rotations

Xiu Yang · Huan Lei · Nathan Baker · Guang Lin

45 citations·0/0 files stored·Journal of Computational Physics

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Probabilistic and Robust Engineering Design Mathematical functions and polynomials Model Reduction and Neural Networks

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References

1991Stochastic Finite Elements: A Spectral Approach 2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations 2005High-Order Collocation Methods for Differential Equations with Random Inputs 2007A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data 2009An adaptive hierarchical sparse grid collocation algorithm for the solution of stochastic differential equations 2011A non-adapted sparse approximation of PDEs with stochastic inputs 2010A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data 1997An efficient method for parametric uncertainty analysis of numerical geophysical models

Cited by

2019Regression-based sparse polynomial chaos for uncertainty quantification of subsurface flow models 2016Systematic parameter inference in stochastic mesoscopic modeling 2020Conditional Karhunen-Loève expansion for uncertainty quantification and active learning in partial differential equation models 2015Compressive Sampling Methods for Sparse Polynomial Chaos Expansions

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Details

Year2015

Typearticle

Published2015-11-30

VenueJournal of Computational Physics

ISSN-L0021-9991

Languageen

Citations45

Files0 public / 0

ShelfProbabilistic and Robust Engineering Design

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doi10.1016/j.jcp.2015.11.038

openalex_workW1557892661

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