Arter, Wayne and Morgan, J. Guy and Relton, Samuel D. and Higham, Nicholas J. (2015) Ranking the Importance of Nuclear Reactions for Activation and Transmutation Events. [MIMS Preprint]
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Abstract
Pathways-reduced analysis is one of the techniques used by the Fispact-II nuclear activation and transmutation software to study the sensitivity of the computed inventories to uncertainties in reaction cross-sections. Although deciding which pathways are most important is very helpful in for example determining which nuclear data would benefit from further refinement, pathways-reduced analysis need not necessarily define the most critical reaction, since one reaction may contribute to several different path- ways. This work examines three different techniques for ranking reactions in their order of importance in determining the final inventory, viz. a pathways based metric (PBM), the direct method and one based on the Pearson correlation coefficient. Reasons why the PBM is to be preferred are presented.
| Item Type: | MIMS Preprint |
|---|---|
| Uncontrolled Keywords: | matrix exponential, Frechet derivative, sensitivity analysis, nuclear activation, nuclear transmutation |
| Subjects: | MSC 2010, the AMS's Mathematics Subject Classification > 34 Ordinary differential equations MSC 2010, the AMS's Mathematics Subject Classification > 65 Numerical analysis |
| Depositing User: | Dr Samuel Relton |
| Date Deposited: | 26 Feb 2015 |
| Last Modified: | 08 Nov 2017 18:18 |
| URI: | https://eprints.maths.manchester.ac.uk/id/eprint/2267 |
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- Ranking the Importance of Nuclear Reactions for Activation and Transmutation Events. (deposited 26 Feb 2015) [Currently Displayed]
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