### 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 |

Volume | 4 |

State | Published - 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 |

### Other

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

Country | United States |

City | Sun Valley, ID |

Period | 5/5/13 → 5/9/13 |

### Fingerprint

### Keywords

- Benchmarking
- Convergence acceleration
- Reactor kinetics

### ASJC Scopus subject areas

- Nuclear Energy and Engineering
- Applied Mathematics

### Cite this

*International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2013*(Vol. 4, pp. 2666-2677)

**Application of convergence acceleration to the reactor kinetic equations : A comparative study.** / Picca, Paolo; Furfaro, Roberto; Ganapol, Barry D.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2013.*vol. 4, pp. 2666-2677, International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2013, Sun Valley, ID, United States, 5/5/13.

}

TY - GEN

T1 - Application of convergence acceleration to the reactor kinetic equations

T2 - A comparative study

AU - Picca, Paolo

AU - Furfaro, Roberto

AU - Ganapol, Barry D

PY - 2013

Y1 - 2013

N2 - 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.

AB - 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.

KW - Benchmarking

KW - Convergence acceleration

KW - Reactor kinetics

UR - http://www.scopus.com/inward/record.url?scp=84883421664&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84883421664&partnerID=8YFLogxK

M3 - Conference contribution

SN - 9781627486439

VL - 4

SP - 2666

EP - 2677

BT - International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2013

ER -