A Reduced-Basis Polynomial-Chaos Approach with a Multi-parametric Truncation Scheme for Problems with Uncertainties

Approximation Theory and Analytic Inequalities ◽

10.1007/978-3-030-60622-0_26 ◽

2020 ◽

pp. 529-546

Author(s):

Theodoros T. Zygiridis

Keyword(s):

Polynomial Chaos ◽

Reduced Basis ◽

Truncation Scheme

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Non-intrusive Uncertainty Quantification by Combination of Reduced Basis Method and Regression-based Polynomial Chaos Expansion

Uncertainty Management for Robust Industrial Design in Aeronautics - Notes on Numerical Fluid Mechanics and Multidisciplinary Design ◽

10.1007/978-3-319-77767-2_10 ◽

2018 ◽

pp. 169-184

Author(s):

Mehrdad Raisee ◽

Dinesh Kumar ◽

Chris Lacor

Keyword(s):

Uncertainty Quantification ◽

Polynomial Chaos ◽

Polynomial Chaos Expansion ◽

Reduced Basis Method ◽

Chaos Expansion ◽

Reduced Basis ◽

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Hybridization of stochastic reduced basis methods with polynomial chaos expansions

Probabilistic Engineering Mechanics ◽

10.1016/j.probengmech.2005.09.003 ◽

2006 ◽

Vol 21 (2) ◽

pp. 182-192 ◽

Author(s):

Sachin K. Sachdeva ◽

Prasanth B. Nair ◽

Andy J. Keane

Keyword(s):

Polynomial Chaos ◽

Reduced Basis ◽

Reduced Basis Methods ◽

Polynomial Chaos Expansions

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A Goal-Oriented Reduced Basis Methods-Accelerated Generalized Polynomial Chaos Algorithm

SIAM/ASA Journal on Uncertainty Quantification ◽

10.1137/16m1055736 ◽

2016 ◽

Vol 4 (1) ◽

pp. 1398-1420 ◽

Author(s):

Jiahua Jiang ◽

Yanlai Chen ◽

Akil Narayan

Keyword(s):

Polynomial Chaos ◽

Reduced Basis ◽

Generalized Polynomial Chaos ◽

Reduced Basis Methods ◽

Generalized Polynomial ◽

Chaos Algorithm

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SURROGATE MODELING FOR STOCHASTIC DYNAMICAL SYSTEMS BY COMBINING NONLINEAR AUTOREGRESSIVE WITH EXOGENOUS INPUT MODELS AND POLYNOMIAL CHAOS EXPANSIONS

International Journal for Uncertainty Quantification ◽

10.1615/int.j.uncertaintyquantification.2016016603 ◽

2016 ◽

Vol 6 (4) ◽

pp. 313-339 ◽

Author(s):

Chu V. Mai ◽

Minas D. Spiridonakos ◽

Eleni N. Chatzi ◽

Bruno Sudret

Keyword(s):

Dynamical Systems ◽

Polynomial Chaos ◽

Surrogate Modeling ◽

Stochastic Dynamical Systems ◽

Polynomial Chaos Expansions ◽

Nonlinear Autoregressive

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UNCERTAINTY QUANTIFICATION FOR NATURAL CONVECTION IN RANDOM POROUS MEDIA WITH INTRUSIVE POLYNOMIAL CHAOS EXPANSION

Journal of Porous Media ◽

10.1615/jpormedia.2020033288 ◽

2020 ◽

Vol 23 (7) ◽

pp. 641-661

Author(s):

Changwei Jiang ◽

Yi Jiang ◽

Er Shi

Keyword(s):

Porous Media ◽

Natural Convection ◽

Uncertainty Quantification ◽

Polynomial Chaos ◽

Polynomial Chaos Expansion ◽

Chaos Expansion ◽

Random Porous Media

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Uncertainty Quantification of Transonic Nozzle Flow by Polynomial Chaos Expansion

JOURNAL OF THE JAPAN SOCIETY FOR AERONAUTICAL AND SPACE SCIENCES ◽

10.2322/jjsass.65.151 ◽

2017 ◽

Vol 65 (4) ◽

pp. 151-156

Author(s):

Koji MIYAJI ◽

Tota UENO ◽

Yasumi KAWAMURA

Keyword(s):

Uncertainty Quantification ◽

Polynomial Chaos ◽

Polynomial Chaos Expansion ◽

Nozzle Flow ◽

Chaos Expansion

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Generalized Polynomial Chaos Based Stochastic Collocation on the Uncertainty Quantification of CMOS Active Filter Circuits

2019 11th International Conference on Electrical and Electronics Engineering (ELECO) ◽

10.23919/eleco47770.2019.8990660 ◽

2019 ◽

Author(s):

Mecit Emre Duman ◽

Onder Suvak

Keyword(s):

Uncertainty Quantification ◽

Polynomial Chaos ◽

Active Filter ◽

Stochastic Collocation ◽

Generalized Polynomial Chaos ◽

Generalized Polynomial

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Nonlinear dynamical response of impulsively loaded structures - A reduced basis approach

10.2514/6.1989-1164 ◽

1989 ◽

Author(s):

JOHN ENGBLOM

Keyword(s):

Dynamical Response ◽

Reduced Basis ◽

Nonlinear Dynamical

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Bayesian Updates to Probabilistic Aircraft Models in Generalized Polynomial Chaos Form from Measured Data

AIAA Scitech 2021 Forum ◽

10.2514/6.2021-1365 ◽

2021 ◽

Author(s):

Michael D. DeVore ◽

Jared Cooper ◽

Adam Reed

Keyword(s):

Polynomial Chaos ◽

Measured Data ◽

Generalized Polynomial Chaos ◽

Generalized Polynomial

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Stochastic Modeling of Flow-Structure Interactions using Generalized Polynomial Chaos

10.21236/ada461832 ◽

2001 ◽

Author(s):

Dongbin Xiu ◽

Didier Lucor ◽

C. Su ◽

George E. Karniadakis

Keyword(s):

Flow Structure ◽

Stochastic Modeling ◽

Polynomial Chaos ◽

Generalized Polynomial Chaos ◽

Generalized Polynomial

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