Global uncertainty assessments by high dimensional model representations (HDMR)

Chemical Engineering Science

Volumn 57, Issue 21, 2002, Pages 4445-4460

  Li, Genyuan ^a   Wang, Sheng Wei ^a   Rabitz, Herschel ^a   Wang, Sookyun ^b   Jaffé, Peter ^b  

^a PRINCETON UNIVERSITY   (United States)

^b Princeton University   (United States)

Author keywords

Global uncertainty analysis; High dimensional model representation; Monte Carlo method

Indexed keywords

DATA REDUCTION; POLYNOMIALS; STATISTICAL METHODS;

ORTHONORMAL POLYNOMIALS;

CHEMICAL ENGINEERING;

MATHEMATICAL MODELING;

ENVIRONMENTAL MONITORING; HIGH DIMENSIONAL MODEL REPRESENTATION; INPUT OUTPUT SYSTEM; MODEL; RANDOMIZATION; STATISTICAL MODEL;

EID: 0037020570     PISSN: 00092509     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0009-2509(02)00417-7     Document Type: Article

References (26)

1. General foundations of high dimensional model representations
2. Efficient input-output model representations
3. Nonlinear sensitivity analysis of multiparameter model systems
4. Randomly exact method
5. Small sample sensitivity analysis techniques for computer models, with an application to risk assessment
6. Efficient sensitivity/uncertainty analysis using the combined stochastic response surface method and automated differentiation: Application to environmental and biological systems
7. High dimensional model representations
8. Practical approaches to construct RS-HDMR component functions
9. Global sensitivity analysis: A computational implementation of the Fourier amplitude sensitivity test (FAST)
10. System analysis at the molecular scale
11. Efficient input-output model representations
12. An alternative way to compute Fourier amplitude sensitivity test
13. A quantitative model-independent method for global sensitivity analysis of model output
14. An efficient chemical kinetics solver using high dimensional model representations
15. Radiation transport simulation by means of a fully equivalent operational model
16. Sensitivity estimates for nonlinear mathematical models
17. Uncertainty propagation in a stratospheric model 2. Monte-Carlo analysis of imprecisions due to reaction rates
18. An efficient method for parametric uncertainty analysis of a numerical model
19. Simulating bioremediation of uranium-contaminated aquifers
20. Fully equivalent operational models for atmospheric chemical kinetics within global chemistry-transport models
21. Elementary and derived sensitivity information in chemical kinetics