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Title: Computing the Higher k-Eigenfunctions by Monte Carlo Power Iteration: A Conjecture

Journal Article · · Nuclear Science and Engineering
DOI:https://doi.org/10.13182/NSE02-10TN· OSTI ID:20804848
 [1]
  1. Los Alamos National Laboratory (United States)

Most Monte Carlo transport codes estimate the fundamental k-eigenfunction by means of a power iteration method. A modified power iteration method appears to generate the higher eigenfunctions for some Monte Carlo transport problems. This technical note describes the method as well as some plausibility arguments about why the method works. At this time, no formal proof exists to show that the method converges to the desired eigenfunction.

OSTI ID:
20804848
Journal Information:
Nuclear Science and Engineering, Vol. 143, Issue 3; Other Information: Copyright (c) 2006 American Nuclear Society (ANS), United States, All rights reserved. http://epubs.ans.org/; Country of input: International Atomic Energy Agency (IAEA); ISSN 0029-5639
Country of Publication:
United States
Language:
English