A technique for accurate collocation residual calculations

Chemical Engineering Journal

Volumn 71, Issue 2, 1998, Pages 127-134

  Adomaitis, Raymond A ^a   Lin, Yi Hung ^a  

^a UNIVERSITY OF MARYLAND   (United States)

Author keywords

Galerkin projection; Method of weighted residual; Numerical analysis; Orthogonal collocation

Indexed keywords

BIFURCATION (MATHEMATICS); BOUNDARY CONDITIONS; COMPUTER SIMULATION; CONVERGENCE OF NUMERICAL METHODS; DIFFUSION; FUNCTIONS; GALERKIN METHODS; POLYNOMIALS;

MULTIPLE-GRID COLLOCATION METHOD; THIELE MODULUS;

BOUNDARY VALUE PROBLEMS;

CHEMICAL ENGINEERING;

EID: 0032477383     PISSN: 13858947     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1385-8947(98)00127-2     Document Type: Article

References (13)

1. J.V. Villadsen, W.E. Stewart, Solution of boundary-value problems by orthogonal collocation, Chem. Eng. Sci. 22 (1967) 1483-1501.
2. B.A., Finlayson, Nonlinear Analysis in Chemical Engineering, Chem. Eng. Sci. Series, McGraw-Hill, New York, 1980.
3. M.L. Michelsen, J. Villadsen, Polynomial solution of differential equations. R.S.H. Mah, W.D. Seider (Eds.), Foundations of Computer-Aided Chemical Process Design, Vol. I, 1981, pp. 341-368.
4. R.G. Rice, D.D. Do, Applied Mathematics and Modeling for Chemical Engineers, Chem. Eng. Series, Wiley, New York, 1995.
5. J. Villadsen, M.L. Michelsen, Solution of Differential Equation Models by Polynomial Approximation, Int. Series in Phys. and Chem. Eng. Sci, Prentice-Hall, Englewood Cliffs, NJ, 1978.
6. K.S. Denison, C.E. Hamrin Jr, G. Fairweather, Solution of boundary value problems using software packages DD04AD and COLSYS, Chem. Eng. Commun. 22 (1983) 1-9.
7. J.P. Sorensen, E.W. Guertin, W.E. Stewart, Computational models for cylindrical catalyst particles, AIChE J. 19 (1973) 969-975.
8. J. Guckenheimer, P. Holmes, Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields, Appl. Math. Sci. Series, Springer, New York, 42, 1983.
9. I.G. Kevrekidis, M.S. Jolly, On the use of interactive graphics in the numerical study of chemical dynamics. In: Paper No. 22c, 1987 AIChE Annual Meeting, New York, 1987.
10. A.E. Deane, I.G. Kevrekidis, G.E. Karniadakis, S.A. Orszag, Low-dimensional models for complex geometry flows: Application to grooved channels and circular cylinders, Phys. Fluids A 10 (1991) 2237-2354.
11. L. Dettori, D. Gottlieb, R. Temam, A nonlinear Galerkin method: The two-level Fourier collocation case, J. Sci. Comp. 10 (1995) 371-389.
12. M.D. Graham, I.G. Kevrekidis, Alternative approaches to the Karhunen-Loéve decomposition for model reduction and data analysis, Comp. Chem. Eng. 20 (1996) 495-506.
13. Y.-h. Lin, H.-Y. Chang, R.A. Adomaitis, MWRtools: A library for weighted residual method calculations. ISR TR (1998) 24-98.