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Study of the sensitivity of coupled reaction systems to uncertainties in rate coefficients. III. Analysis of the approximations
Abstract
In Parts I and II of this series [J. Chem. Phys. 59, 3873, 3879 (1973)] we developed a new method of sensitivity analysis for large sets of coupled nonlinear equations with many parameters. In developing this theory and in carrying out the computer calculations involved in this analysis we made a number of approximations. We present here a quantitative analysis of these approximations and, where applicable, develop rigorous error bounds. Our analysis shows that we can specify the approximations which enter into our theory so as to obtain sensitivity measures of known accuracy. On this basis we feel that the techniques developed in this series of papers provide a useful and efficient method of sensitivity analysis of large systems with many parameters.
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Citations
Cited by
A Quantitative Model-Independent Method for Global Sensitivity Analysis of Model Output
Saltelli, A., Tarantola, S., & Chan, K. P.-S. (1999) · Technometrics · doi:10.1080/00401706.1999.10485594 · Cited by 2,275
Identification and Review of Sensitivity Analysis Methods
Christopher Frey, H., & Patil, S. R. (2002) · Risk Analysis · doi:10.1111/0272-4332.00039 · Cited by 1,036
Model-based design of experiments for parameter precision: State of the art
Franceschini, G., & Macchietto, S. (2008) · Chemical Engineering Science · doi:10.1016/j.ces.2007.11.034 · Cited by 818
Sensitivity analysis of complex kinetic systems. Tools and applications
Tur�nyi, T. (1990) · Journal of Mathematical Chemistry · doi:10.1007/bf01166355 · Cited by 572
Sensitivity analysis for volcanic source modeling quality assessment and model selection
Cannavó, F. (2012) · Computers & Geosciences · doi:10.1016/j.cageo.2012.03.008 · Cited by 260
Metadata
- Authors
- Cukier, R. I., Schaibly, J. H., & Shuler, K. E.
- Venue
- The Journal of Chemical Physics
- Publisher
- AIP Publishing
- Published
- 1975-08-01
- Volume
- 63
- Issue
- 3
- Pages
- 1140-1149
- ISSN
- 0021-9606 (ISSN-L)
- 1089-7690
- OpenAlex
- W2020052620
- Cited by
- 267
- References
- 0
- FWCI
- 2.10
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Study of the sensitivity of coupled reaction systems to uncertainties in rate coefficients. III. Analysis of the approximations. https://app.cochat.ai/papers/10.1063/1.431440
- The paper
- Cukier, R. I., Schaibly, J. H., & Shuler, K. E. (1975). Study of the sensitivity of coupled reaction systems to uncertainties in rate coefficients. III. Analysis of the approximations. The Journal of Chemical Physics. https://doi.org/10.1063/1.431440
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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