Kinetic lumping schemes

Chemical Engineering Science

Volumn 54, Issue 17, 1999, Pages 3909-3915

  Farkas, Gyula ^a  

^a BUDAPEST UNIVERSITY OF TECHNOLOGY AND ECONOMICS   (Hungary)

Author keywords

Exact lumping; Kinetic differential equation

Indexed keywords

ALGORITHMS; CHEMICAL REACTIONS; DIFFERENTIAL EQUATIONS; MATHEMATICAL MODELS; MOLECULAR STRUCTURE;

EXACT LUMPING; KINETIC DIFFERENTIAL EQUATION; KINETIC LUMPING SCHEMES;

REACTION KINETICS;

CHEMICAL REACTION;

EID: 0033522753     PISSN: 00092509     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0009-2509(99)00028-7     Document Type: Article

References (15)

1. Farkas, Gy. (1998a). Local controllability of reactions. Journal of Mathematical Chemistry, 24, 1-14.
2. Farkas, Gy. (1998b). On local observability of chemical systems. Journal of Mathematical Chemistry, 24, 15-22.
3. Feinberg, M., & Horn, F. (1977). Chemical mechanism structure and the co-incidence of the stoichiometric and kinetic subspaces. Archive for Rational Mechanics and Analysis, 66, 83-97.
4. Hárs, V., Tóth, J. (1981). On the inverse problem of reaction kinetics. In: M. Farkas (Ed.), Qualitative Theory of Differential Equations (pp. 363-379). Amsterdam: North Holland.
5. Horn, F., & Jackson, R. (1972). General mass action kinetics. Archive for Rational Mechanics and Analysis, 47, 81-116.
6. Hutchinson, P., Luss, D. (1970). Lumping of mixtures with many parallel first order reactions. Chemical Engineering Journal, 1, 129-135.
7. Li, G., Rabitz, H. (1989). A general analysis of exact lumping in chemical kinetics. Chemical Engineering Science, 44, 1413-1430.
8. Li, G., Rabitz, H. (1990). A general analysis of approximate lumping in chemical kinetics. Chemical Engineering Science, 44, 977-1002.
9. Li, G., & Rabitz, H. (1991a). New approaches to determination of constrained lumping schemes for a reaction system in the whole composition space. Chemical Engineering Science, 46, 95-111.
10. Li, G., & Rabitz, H. (1991b). Determination of constrained lumping schemes for nonisothermal first-order reaction systems. Chemical Engineering Science, 46, 583-596.
11. Li, G., Rabitz, H., & Tóth, J. (1994). A general analysis of exact nonlinear lumping in chemical kinetics. Chemical Engineering Science, 49, 343-361.
12. Szabó, Z.G. (1969). Kinetic characterization of complex reaction systems. In C.H. Bamford, & C.F.H. Tipper (Ed.), Comprehensive Chemical Kinetics (Vol. 2, pp. 486-566). The Theory of Kinetics. Amsterdam: Elsevier.
13. Tóth, J. (1978). What is essential to exotic kinetic behavior? Reaction Kinetics Catalysis Letters, 9, 377-381.
14. Vol'pert, A.I., & Hudjaev, S.I. (1985). Analysis in Classes of Discontinuous Functions and Equations of Mathematical Physics. Dordrecht: Martinus Nijhoff.
15. Wei, J., & Kuo, J. (1969). A lumping analysis in monomolecular reaction systems. Industrial and Engineering Chemistry Fundamentals, 8, 114-133.