Improving variance estimation in Monte Carlo eigenvalue simulations

Jin, Lei; Banerjee, Kaushik; Hamilton, Steven P.; Davidson, Gregory G.

doi:10.1016/j.anucene.2017.07.016

Improving variance estimation in Monte Carlo eigenvalue simulations

Journal Article · Fri Dec 01 00:00:00 EST 2017 · Annals of Nuclear Energy

DOI:https://doi.org/10.1016/j.anucene.2017.07.016· OSTI ID:1549685

Jin, Lei; Banerjee, Kaushik; Hamilton, Steven P.; Davidson, Gregory G.

Not Available

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC05-00OR22725

OSTI ID:: 1549685

Alternate ID(s):: OSTI ID: 22695770
OSTI ID: 1394244

Journal Information:: Annals of Nuclear Energy, Journal Name: Annals of Nuclear Energy Journal Issue: C Vol. 110; ISSN 0306-4549

Publisher:: ElsevierCopyright Statement

Country of Publication:: United Kingdom

Language:: English

References (13)

Eigenvalue Uncertainty Evaluation in MC Calculations, Using Time Series Methodologies Jacquet, O.; Chajari, R.; Bay, X. Advanced Monte Carlo for Radiation Physics, Particle Transport Simulation and Applications https://doi.org/10.1007/978-3-642-18211-2_112	book	January 2001
Biases in the estimation of Keff and its error by Monte Carlo methods Brissenden, R. J.; Garlick, A. R. Annals of Nuclear Energy, Vol. 13, Issue 2 https://doi.org/10.1016/0306-4549(86)90095-2	journal	January 1986
Batch estimation of statistical errors in the Monte Carlo calculation of local powers Ueki, Taro Annals of Nuclear Energy, Vol. 38, Issue 11 https://doi.org/10.1016/j.anucene.2011.07.015	journal	November 2011
Analysis of correlations and their impact on convergence rates in Monte Carlo eigenvalue simulations Miao, J.; Forget, B.; Smith, K. Annals of Nuclear Energy, Vol. 92 https://doi.org/10.1016/j.anucene.2016.01.037	journal	June 2016
Implementation, capabilities, and benchmarking of Shift, a massively parallel Monte Carlo radiation transport code Pandya, Tara M.; Johnson, Seth R.; Evans, Thomas M. Journal of Computational Physics, Vol. 308 https://doi.org/10.1016/j.jcp.2015.12.037	journal	March 2016
Anomalous Behavior of Monte Carlo Uncertainties near Reflecting Boundaries Sutton, Thomas M. SNA + MC 2013 - Joint International Conference on Supercomputing in Nuclear Applications + Monte Carlo https://doi.org/10.1051/snamc/201403401	conference	January 2014
A Central Limit Theorem and a Strong Mixing Condition Rosenblatt, M. Proceedings of the National Academy of Sciences, Vol. 42, Issue 1 https://doi.org/10.1073/pnas.42.1.43	journal	January 1956
Theoretical comparisons of block bootstrap methods Lahiri, S. N. The Annals of Statistics, Vol. 27, Issue 1 https://doi.org/10.1214/aos/1018031117	journal	March 1999
Bootstrap Methods: Another Look at the Jackknife Efron, B. The Annals of Statistics, Vol. 7, Issue 1 https://doi.org/10.1214/aos/1176344552	journal	January 1979
A General Resampling Scheme for Triangular Arrays of $\alpha$-Mixing Random Variables with Application to the Problem of Spectral Density Estimation Politis, Dimitris N.; Romano, Joseph P. The Annals of Statistics, Vol. 20, Issue 4 https://doi.org/10.1214/aos/1176348899	journal	December 1992
Uncertainty Underprediction in Monte Carlo Eigenvalue Calculations Mervin, Brenden T.; Mosher, Scott W.; Wagner, John C. Nuclear Science and Engineering, Vol. 173, Issue 3 https://doi.org/10.13182/NSE11-104	journal	March 2013
Intergenerational Correlation in Monte Carlok-Eigenvalue Calculation Ueki, Taro Nuclear Science and Engineering, Vol. 141, Issue 2 https://doi.org/10.13182/NSE141-101	journal	June 2002
Error Estimations and Their Biases in Monte Carlo Eigenvalue Calculations Ueki, Taro; Mori, Takamasa; Nakagawa, Masayuki Nuclear Science and Engineering, Vol. 125, Issue 1 https://doi.org/10.13182/NSE97-1	journal	January 1997

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