Optimal selection of orthogonal polynomials applied to the integration of chemical reactor equations by collocation methods

Computers and Chemical Engineering

Volumn 24, Issue 12, 2000, Pages 2571-2588

  Lefevre L ^a   Dochain, D ^b   Feyo De Azevedo, S ^c   Magnus, A ^b  

^a INP Grenoble ESISAR   (France)

^b UNIVERSITÉ CATHOLIQUE DE LOUVAIN   (Belgium)

^c UNIVERSITY OF PORTO   (Portugal)

Author keywords

Orthogonal collocation; Partial differential equations; Polynomial

Indexed keywords

APPROXIMATION THEORY; COMPUTER SIMULATION; INTEGRATION; MATHEMATICAL MODELS; ORDINARY DIFFERENTIAL EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; POLYNOMIALS;

JACOBI POLYNOMIALS; ORTHOGONAL COLLOCATION METHOD;

CHEMICAL REACTORS;

ARTICLE; CHEMICAL REACTION; ENERGY; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; REACTOR; TEMPERATURE;

EID: 0034383980     PISSN: 00981354     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0098-1354(00)00597-4     Document Type: Article

References (34)

1. Modeling, identification and control of a denitrifying biofilter
2. Some applications of a convenient finite-dimensional matrix representation of the differential operator
3. Reduced-order steady state and dynamic models, Parts I and II
4. Continuous flow systems. Distribution of residence times
5. Hindered transport of large molecules in liquid-filled pores
6. Contribution to the analysis and control of distributed parameter systems with application to (bio)chemical processes and robotics
7. Dynamical analysis of a class of distributed parameter fixed bed reactors
8. On modeling, monitoring and control of fixed bed reactors
9. Generalised Jacobi weights, Christoffel functions and Jacobi polynomials
10. Modelling of tubular fixed-bed catalytic reactors: A brief review
11. Packed bed reactor analysis by orthogonal collocation
12. The method of weighted residuals and its relation to certain variational principles for the analysis of transport processes
13. Studies in the control of tubular reactors-I. General considerations
14. Numerical analysis of spectral methods
15. Mathematical modelling of packed bed reactors: Numerical solutions and control model development
16. Fixed bed reactor dynamincs and control a review
17. Multivariable computer control of a butane hydrogenolysis reactor
18. The velocity of reactions in gases moving through heated vessels and the effect of convection and diffusion
19. A convenient computational procedure for collocation constants
20. Collocation methods for solving packed bed reactor models with radial gradients
21. Transient reactor analysis by orthogonal collocation
22. Solution of boundary-value problems by orthogonal Collocation
23. On the use of observability measures for sensor location in tubular reactors
24. Dynamical analysis of a class of distributed parameter tubular reactors