Computational Errors in the Calculation of Long Radioactive Decay Chains
- 作者: Bakin R.I.1, Kiselev A.A.1, Shvedov A.M.1, Shikin A.V.1
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隶属关系:
- Institute of Problems in the Safe Development of Nuclear Energy, Russian Academy of Sciences (IBRAE RAN)
- 期: 卷 123, 编号 6 (2018)
- 页面: 406-411
- 栏目: Article
- URL: https://journals.rcsi.science/1063-4258/article/view/248847
- DOI: https://doi.org/10.1007/s10512-018-0360-2
- ID: 248847
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详细
For safety security of objects utilizing atomic energy, the effect of numerical errors on the calculation of the activity and integrals of the activity in time when using Bateman’s formula and Siewers’ algorithm to calculate radioactive decay chains is investigated. The smallest errors obtain when using Siewers’ algorithm and Bateman’s formula together with long arithmetic. It is shown that the standard calculations of radioactive decay chains according to Bateman’s formula with double precision lead to significant errors. However, these errors have almost no effect on the dose characteristics of mixtures of radionuclides. The analysis is based on data contained in ICRP Publication No. 107.
作者简介
R. Bakin
Institute of Problems in the Safe Development of Nuclear Energy, Russian Academy of Sciences (IBRAE RAN)
Email: j-atomicenergy@yandex.ru
俄罗斯联邦, Moscow
A. Kiselev
Institute of Problems in the Safe Development of Nuclear Energy, Russian Academy of Sciences (IBRAE RAN)
Email: j-atomicenergy@yandex.ru
俄罗斯联邦, Moscow
A. Shvedov
Institute of Problems in the Safe Development of Nuclear Energy, Russian Academy of Sciences (IBRAE RAN)
Email: j-atomicenergy@yandex.ru
俄罗斯联邦, Moscow
A. Shikin
Institute of Problems in the Safe Development of Nuclear Energy, Russian Academy of Sciences (IBRAE RAN)
Email: j-atomicenergy@yandex.ru
俄罗斯联邦, Moscow
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