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Division Spotlight
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.
Meeting Spotlight
ANS Student Conference 2025
April 3–5, 2025
Albuquerque, NM|The University of New Mexico
Standards Program
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
Argonne scientists use AI to detect hidden defects in stainless steel
Imagine you’re constructing a bridge or designing an airplane, and everything appears flawless on the outside. However, microscopic flaws beneath the surface could weaken the entire structure over time.
These hidden defects can be difficult to detect with traditional inspection methods, but a new technology developed by scientists at the U.S. Department of Energy’s Argonne National Laboratory is changing that. Using artificial intelligence and advanced imaging techniques, researchers have developed a method to reveal these tiny flaws before they become critical problems.
Akio Yamamoto
Nuclear Science and Engineering | Volume 172 | Number 3 | November 2012 | Pages 259-267
Technical Paper | doi.org/10.13182/NSE11-88
Articles are hosted by Taylor and Francis Online.
An approach incorporating the discontinuity factor in transport calculations based on the integrodifferential transport equation, e.g., the discrete ordinates method, the method of characteristics, and the Monte Carlo method, is proposed. In the present approach, the effect of the discontinuity factor is incorporated by correcting cross sections (absorption, production, and scattering cross sections are divided by the discontinuity factor), and the anisotropic scattering cross sections of odd order are corrected with the discontinuity factor and the total cross section. The validity of the present method is confirmed through simple benchmark calculations using the method of characteristics. The present method would be a candidate for a mitigation method for errors associated with approximations, e.g., energy condensation, spatial homogenization, or coarse discretization, in transport calculations.