Polynomial Chaos: Modeling, Estimation, and Approximation

Handbook of Uncertainty Quantification ◽

10.1007/978-3-319-11259-6_13-1 ◽

2016 ◽

pp. 1-31 ◽

Author(s):

Roger Ghanem ◽

John Red-Horse

Keyword(s):

Polynomial Chaos

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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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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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Modeling Uncertainty in Steady State Diffusion Problems via Generalized Polynomial Chaos

10.21236/ada460658 ◽

2002 ◽

Author(s):

Dongbin Xiu ◽

George E. Karniadakis

Keyword(s):

Steady State ◽

Polynomial Chaos ◽

Generalized Polynomial Chaos ◽

Modeling Uncertainty ◽

State Diffusion ◽

Generalized Polynomial ◽

Steady State Diffusion ◽

Diffusion Problems

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PARAMETER ESTIMATION OF A DISTRIBUTED HYDROLOGICAL MODEL FOR THE IBO RIVER BASIN WITH POLYNOMIAL CHAOS EXPANSION

Journal of Japan Society of Civil Engineers Ser B1 (Hydraulic Engineering) ◽

10.2208/jscejhe.75.2_i_247 ◽

2019 ◽

Vol 75 (2) ◽

pp. I_247-I_252

Author(s):

Putika Ashfar KHOIRI ◽

Masayasu IRIE ◽

Hiroaki TOI ◽

Masahide ISHIZUKA

Keyword(s):

Parameter Estimation ◽

River Basin ◽

Polynomial Chaos ◽

Hydrological Model ◽

Polynomial Chaos Expansion ◽

Chaos Expansion ◽

Distributed Hydrological Model

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Polynomial chaos expansion as a tool to quantify the quality of compact range antenna test chambers under uncertainty

Loughborough Antennas & Propagation Conference 2018 (LAPC 2018) ◽

10.1049/cp.2018.1490 ◽

2018 ◽

Author(s):

R. Wilke ◽

T.M. Gemmer ◽

D. Heberling

Keyword(s):

Polynomial Chaos ◽

Polynomial Chaos Expansion ◽

Chaos Expansion ◽

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Polynomial Chaos Expansion (PCE) Based Surrogate Modeling and Optimization for Batch Crystallization Processes

Computer Aided Chemical Engineering - 24th European Symposium on Computer Aided Process Engineering ◽

10.1016/b978-0-444-63456-6.50095-8 ◽

2014 ◽

pp. 565-570 ◽

Author(s):

Nahid Sanzida ◽

Zoltan K. Nagy

Keyword(s):

Polynomial Chaos ◽

Surrogate Modeling ◽

Polynomial Chaos Expansion ◽

Chaos Expansion ◽

Batch Crystallization ◽

Modeling And Optimization

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