A new iterative method to compute the Green's function for continuum systems is presented. It is based on a Newton polynomial expansion of the corresponding propagator, followed by accurate half-Fourier transformation. The new technique is remarkably stable, accurate and can handle very large system
A computational algorithm for the Green's function method of sensitivity analysis in chemical kinetics
β Scribed by Eugene P. Dougherty; Herschel Rabitz
- Publisher
- John Wiley and Sons
- Year
- 1979
- Tongue
- English
- Weight
- 665 KB
- Volume
- 11
- Category
- Article
- ISSN
- 0538-8066
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β¦ Synopsis
Abstract
The recent interest in numerical modeling of chemical kinetics has generated the need for proper analysis of the system sensitivities in such models. This paper describes the logic for a program developed by the authors to implement the Green's function method of sensitivity analysis in complex kinetic schemes. The relevant equations and numerical details of the algorithm are outlined, two flow charts are provided, and some special programming considerations are discussed in some detail. Computer storage and computational time considerations are also treated. Finally, applications of sensitivity information to understanding complex kinetic system behavior and analyzing experimental results are suggested.
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