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Title: Summer Project on Exponential Convergence for IMC

I want to look at modifying the Morel and Bolding algorithm in two ways. One is to remove the need to represent the intensity in a deterministic form and for a deterministic representation of a transport operator. The second is to look at representing the moments of the source with a simpler form that doesn’t require as many terms. Morel and Bolding also didn’t include scattering in their stuff. IMC has a lot of scattering occurring because of the effective scatters. I think that scattering can be added to the method, but I think that will require more than a summer’s worth of work. So we’ll just ignore scattering, and just look at problems with a huge cv so that there is no effective scattering.
Authors:
 [1]
  1. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Publication Date:
OSTI Identifier:
1255187
Report Number(s):
LLNL-TR--692601
TRN: US1601413
DOE Contract Number:
AC52-07NA27344
Resource Type:
Technical Report
Research Org:
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Sponsoring Org:
USDOE
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING; 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; RADIANT HEAT TRANSFER; MONTE CARLO METHOD; ALGORITHMS; CONVERGENCE; FUNCTIONS; MATHEMATICAL OPERATORS