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Mathematics & Computation
Division members promote the advancement of mathematical and computational methods for solving problems arising in all disciplines encompassed by the Society. They place particular emphasis on numerical techniques for efficient computer applications to aid in the dissemination, integration, and proper use of computer codes, including preparation of computational benchmark and development of standards for computing practices, and to encourage the development on new computer codes and broaden their use.
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Nuclear Energy Conference & Expo (NECX)
September 8–11, 2025
Atlanta, GA|Atlanta Marriott Marquis
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The Standards Committee is responsible for the development and maintenance of voluntary consensus standards that address the design, analysis, and operation of components, systems, and facilities related to the application of nuclear science and technology. Find out What’s New, check out the Standards Store, or Get Involved today!
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Latest News
NRC cuts fees by 50 percent for advanced reactor applicants
The Nuclear Regulatory Commission has announced it has amended regulations for the licensing, inspection, special projects, and annual fees it will charge applicants and licensees for fiscal year 2025.
Ryota Katano
Nuclear Science and Engineering | Volume 193 | Number 4 | April 2019 | Pages 431-439
Technical Paper | doi.org/10.1080/00295639.2018.1528803
Articles are hosted by Taylor and Francis Online.
The linear combination method is proposed to reduce the higher order mode (HOM) effect on the measurement of the prompt neutron decay constant using the α-fitting method. Conventional α-fitting utilizes the pulsed neutron source and estimates the prompt neutron decay constant by fitting the neutron counts at a single detector after pulse injection with a single exponential function. The proposed method reduces the spatial HOM effect with linear combination of the neutron counts at multiple detectors. For verification, we applied the conventional method and the proposed method to the analytical solution of the diffusion theory and the Monte Carlo simulation to estimate the prompt neutron decay constant of a one-dimensional infinite slab. Comparison of these results indicates that the proposed method enables estimation with the reduced HOM effect as opposed to the conventional method. Through the verification, we confirmed that the proposed method can be a candidate for a measurement method of the prompt neutron decay constant.