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Title: Compressive sampling of polynomial chaos expansions: Convergence analysis and sampling strategies

Journal Article · · Journal of Computational Physics

Sponsoring Organization:
USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)
Grant/Contract Number:
SC0006402; DMS-1228359; CMMI-1201207
OSTI ID:
1247014
Journal Information:
Journal of Computational Physics, Journal Name: Journal of Computational Physics Vol. 280 Journal Issue: C; ISSN 0021-9991
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 123 works
Citation information provided by
Web of Science

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Sparse Legendre expansions via <mml:math altimg="si12.gif" display="inline" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msub><mml:mrow><mml:mi>ℓ</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub></mml:math>-minimization journal May 2012
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Selection of polynomial chaos bases via Bayesian model uncertainty methods with applications to sparse approximation of PDEs with stochastic inputs journal February 2014
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STOCHASTIC COLLOCATION ALGORITHMS USING l1-MINIMIZATION journal January 2012
Physical Systems with Random Uncertainties: Chaos Representations with Arbitrary Probability Measure journal January 2004
Monte Carlo sampling methods using Markov chains and their applications journal April 1970
Sparse Multiresolution Regression for Uncertainty Propagation journal January 2014
“Coarse” stability and bifurcation analysis using stochastic simulators: Kinetic Monte Carlo examples journal June 2002

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