Convergence properties of Monte Carlo functional expansion tallies

详细信息	查看全文 | 推荐本文 |

• 作者：David P. Griesheimer ; William R. Martin and James Paul Holloway
• 关键词：Monte Carlo ; Functional expansion ; Surface crossing estimator ; Tally ; Legendre polynomials
• 刊名：Journal of Computational Physics
• 出版年：2006
• 期刊代码：136_00219991
• 类别：cp
• 出版时间：2006
• 卷：211
• 期：1
• 页码：129-153
• 文件大小：1153 K

摘要

The functional expansion tally (FET) is a method for constructing functional estimates of unknown tally distributions via Monte Carlo simulation. This technique uses a Monte Carlo calculation to estimate expansion coefficients of the tally distribution with respect to a set of orthogonal basis functions. The rate at which the FET approximation converges to the true distribution as the expansion order is increased is developed. For sufficiently smooth distributions the FET is shown to converge faster, and achieve a lower residual error, than a histogram approximation.