Improved Efficiency of a Multi-Index FEM for Computational Uncertainty Quantification

SIAM Journal on Numerical Analysis ◽

10.1137/18m1193700 ◽

2019 ◽

Vol 57 (4) ◽

pp. 1744-1769

Author(s):

Josef Dick ◽

Michael Feischl ◽

Christoph Schwab

Keyword(s):

Uncertainty Quantification ◽

Multi Index ◽

Computational Uncertainty

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Uncertainty Quantification of Ship Resistance via Multi-Index Stochastic Collocation and Radial Basis Function Surrogates: A Comparison

AIAA AVIATION 2020 FORUM ◽

10.2514/6.2020-3160 ◽

2020 ◽

Author(s):

Chiara Piazzola ◽

Lorenzo Tamellini ◽

Riccardo Pellegrini ◽

Riccardo Broglia ◽

Andrea Serani ◽

...

Keyword(s):

Radial Basis Function ◽

Uncertainty Quantification ◽

Basis Function ◽

Stochastic Collocation ◽

Multi Index ◽

Ship Resistance ◽

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Adaptive finite difference solutions of Liouville equations in computational uncertainty quantification

Reliability Engineering & System Safety ◽

10.1016/j.ress.2015.05.024 ◽

2015 ◽

Vol 142 ◽

pp. 267-278 ◽

Author(s):

M. Razi ◽

P.J. Attar ◽

P. Vedula

Keyword(s):

Finite Difference ◽

Uncertainty Quantification ◽

Computational Uncertainty

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Review of Uncertainty Quantification of Measurement and Computational Modeling in EMC Part II: Computational Uncertainty

IEEE Transactions on Electromagnetic Compatibility ◽

10.1109/temc.2019.2904999 ◽

2019 ◽

Vol 61 (6) ◽

pp. 1699-1706 ◽

Author(s):

Sebastien Lallechere ◽

Carlo F. M. Carobbi ◽

Luk R. Arnaut

Keyword(s):

Computational Modeling ◽

Uncertainty Quantification ◽

Computational Uncertainty

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Computational uncertainty quantification for a clarifier-thickener model with several random perturbations: A hybrid stochastic Galerkin approach

Computers & Chemical Engineering ◽

10.1016/j.compchemeng.2016.02.016 ◽

2016 ◽

Vol 89 ◽

pp. 11-26 ◽

Author(s):

Andrea Barth ◽

Raimund Bürger ◽

Ilja Kröker ◽

Christian Rohde

Keyword(s):

Uncertainty Quantification ◽

Random Perturbations ◽

Galerkin Approach ◽

Computational Uncertainty ◽

Stochastic Galerkin

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Adaptive multi-index collocation for uncertainty quantification and sensitivity analysis

10.2172/1574406 ◽

2019 ◽

Author(s):

John Davis Jakeman ◽

Michael S. Eldred ◽

G. Geraci ◽

A. Gorodetsky

Keyword(s):

Sensitivity Analysis ◽

Uncertainty Quantification ◽

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Model Order Reduction Methods in Computational Uncertainty Quantification

Handbook of Uncertainty Quantification ◽

10.1007/978-3-319-11259-6_70-1 ◽

2015 ◽

pp. 1-53

Author(s):

Peng Chen ◽

Christoph Schwab

Keyword(s):

Uncertainty Quantification ◽

Model Order Reduction ◽

Order Reduction ◽

Model Order ◽

Reduction Methods ◽

Computational Uncertainty

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Adaptive multi‐index collocation for uncertainty quantification and sensitivity analysis

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.6268 ◽

2019 ◽

Vol 121 (6) ◽

pp. 1314-1343 ◽

Author(s):

John D. Jakeman ◽

Michael S. Eldred ◽

Gianluca Geraci ◽

Alex Gorodetsky

Keyword(s):

Sensitivity Analysis ◽

Uncertainty Quantification ◽

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Model Order Reduction Methods in Computational Uncertainty Quantification

Handbook of Uncertainty Quantification ◽

10.1007/978-3-319-12385-1_70 ◽

2017 ◽

pp. 937-990

Author(s):

Peng Chen ◽

Christoph Schwab

Keyword(s):

Uncertainty Quantification ◽

Model Order Reduction ◽

Order Reduction ◽

Model Order ◽

Reduction Methods ◽

Computational Uncertainty

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Adaptive multi‐index collocation for uncertainty quantification and sensitivity analysis

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.6450 ◽

2020 ◽

Vol 121 (19) ◽

pp. 4471-4472

Author(s):

John D. Jakeman ◽

Michael S. Eldred ◽

Gianluca Geraci ◽

Alex Gorodetsky

Keyword(s):

Sensitivity Analysis ◽

Uncertainty Quantification ◽

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Adaptive Numerical Solutions of Fokker-Planck Equations in Computational Uncertainty Quantification

52nd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference ◽

10.2514/6.2011-1976 ◽

2011 ◽

Author(s):

Mani Razi ◽

Peter Attar ◽

Prakash Vedula

Keyword(s):

Uncertainty Quantification ◽

Numerical Solutions ◽

Computational Uncertainty ◽

Fokker Planck Equations ◽

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