### Abstract

This presentation provides a comparison of two methodologies for the solution of reactor kinetic equations, namely for a standard finite difference and a semi-analytical approach. The above-mentioned methods are implemented in a convergence acceleration framework to enhance their efficiency and a comparative study is reported to verify whether it is more convenient to use a rudimentary but fast algorithm (finite difference) with respect to the more refined but computationally intense approach of the semi-analytical method. Performance on several test cases from the literature are compared.

Original language | English (US) |
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Title of host publication | International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2013 |

Pages | 2666-2677 |

Number of pages | 12 |

State | Published - Sep 9 2013 |

Event | International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2013 - Sun Valley, ID, United States Duration: May 5 2013 → May 9 2013 |

### Publication series

Name | International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2013 |
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Volume | 4 |

### Other

Other | International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2013 |
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Country | United States |

City | Sun Valley, ID |

Period | 5/5/13 → 5/9/13 |

### Keywords

- Benchmarking
- Convergence acceleration
- Reactor kinetics

### ASJC Scopus subject areas

- Nuclear Energy and Engineering
- Applied Mathematics

## Fingerprint Dive into the research topics of 'Application of convergence acceleration to the reactor kinetic equations: A comparative study'. Together they form a unique fingerprint.

## Cite this

Picca, P., Furfaro, R., & Ganapol, B. D. (2013). Application of convergence acceleration to the reactor kinetic equations: A comparative study. In *International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2013*(pp. 2666-2677). (International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2013; Vol. 4).