Practical approaches to construct RS-HDMR component functions

Journal of Physical Chemistry A

Volumn 106, Issue 37, 2002, Pages 8721-8733

  Li, Genyuan ^a   Wang, Sheng Wei ^b   Rabitz, Herschel ^a  

^a PRINCETON UNIVERSITY   (United States)

^b RUTGERS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FUNCTIONS; INTEGRATION; MATHEMATICAL MODELS; MONTE CARLO METHODS; POLYNOMIAL APPROXIMATION;

HIGH-DIMENSIONAL MODEL REPRESENTATIONS (HDMR);

RANDOM PROCESSES;

EID: 0037136818     PISSN: 10895639     EISSN: None     Source Type: Journal    
DOI: 10.1021/jp014567t     Document Type: Article

References (10)

1. Rabitz, H.; Alis, O.F.; Shorter J.; Shim. K. Efficient Input-Output Model Representations. Comput. Phys. Commun. 1998, 115, 1-10.
2. 1-β-γ Alloys. Phys. Rev. B 1998, 58, 1940-1946.
3. Alis, O.F.; Rabitz, H. General Foundations of High Dimensional Model Representations. J. Math. Chem. 1999, 25, 197-233.
4. Shorter J.; Rabitz, H. An Efficient Chemical Kinetics Solver Using High Dimensional Model Representations. J. Phys. Chem. A 1999, 103, No. 36, 7192-7198.
5. Alis, O.F.; Rabitz, H. Efficient Implementation of High Dimensional Model Representations. To appear in Mathematical and Statistical Methods for Sensitivity Analysis; Saltelli, A., Ed.; John Wiley and Sons: New York, 2000.
6. Press: W.H.; Teukolsky, S.A.; Vetterling, W.T.; Flannery, B.P. Numerical Recipes in FORTRAN; Cambridge University Press: New York, 1992; p 299-319.
7. Sobol, I.M. Sensitivity Estimates for Nonlinear Mathematical Models, Math. Model. Computational Experiments 1993, 1,407-414.
8. Wang, S.W.; Levy, H., II; Li, G.; Rabitz, H. Fully Equivalent Operational Models for Atmospheric Chemical Kinetics Within Global Chemistry-Transport Models. J. Geophys. Res. 1999, 104, D23, 30417-30426.
9. Prenter, P.M. Splines and Variational Methods; John Wiley & Sons: New York, 1989; p 77-115.
10. Li, G.; Wang, S.W.; Rabitz, H.; Wang S.K.; Jaffé, P. Global Uncertainty Assessments by High Dimensional Model Representations (HDMR). Chem. Eng. Sci., in press.