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Convergence properties of Monte Carlo functional expansion tallies
Affiliation:1. National Physical Laboratory, Hampton Road, Teddington, Middlesex TW11 0LW, UK;2. European Commission, Joint Research Centre, Institute for Reference Materials and Measurements, Retieseweg 111, B-2440 Geel, Belgium;3. Department of Physics, University of Surrey, Guildford, Surrey GU2 7XH, UK;1. Department of Nuclear Engineering, Tokyo Institute of Technology, 2-12-1-N1-19 Ookayama, Meguro-ku, Tokyo 152-8550, Japan;2. Research Laboratory for Nuclear Reactors, Tokyo Institute of Technology, 2-12-1-N1-19 Ookayama, Meguro-ku, Tokyo 152-8550, Japan;1. Department of HTTR, Oarai Research and Development Center, Japan Atomic Energy Agency, 4002, Narita-cho, Oarai-machi, Higashi-Ibaraki-gun, Ibaraki 311-1393, Japan;2. Nuclear Hydrogen and Heat Application Research Center, Japan Atomic Energy Agency, 4002, Narita-cho, Oarai-machi, Higashi-Ibaraki-gun, Ibaraki 311-1393, Japan
Abstract: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.
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