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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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2024 ANS Winter Conference and Expo
November 17–21, 2024
Orlando, FL|Renaissance Orlando at SeaWorld
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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 restores expiration dates for renewed Turkey Point licenses
The Nuclear Regulatory Commission announced this week that it has restored the expiration dates of the Turkey Point nuclear power plant's units 3 and 4 subsequent license renewals (SLR) to July 19, 2052, and April 10, 2053, respectively.
R. S. Keshavamurthy, R. S. Geetha
Nuclear Science and Engineering | Volume 162 | Number 2 | June 2009 | Pages 192-199
Technical Note | doi.org/10.13182/NSE162-192
Articles are hosted by Taylor and Francis Online.
Steffensen's inequality is used to obtain new properties of nuclear Doppler broadening functions. We apply the inequality on subinterval integrals of these functions to obtain bounds that provide new approximations for the Doppler broadening functions. The Taylor series is used to further simplify the analytic approximations for the bounds to sums of terms of elementary transcendental functions. The approximations for bounds are able to reproduce the functions with any desired decimal place accuracy. The average of the lower and upper bounds provide better approximations to achieve the same level of decimal place accuracy and are much more efficient computationally. The method is capable of computing the functions to arbitrary accuracy as the inequality essentially gives the bounds of the functions.