ANS is committed to advancing, fostering, and promoting the development and application of nuclear sciences and technologies to benefit society.
Explore the many uses for nuclear science and its impact on energy, the environment, healthcare, food, and more.
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
2024 ANS Annual Conference
June 16–19, 2024
Las Vegas, NV|Mandalay Bay Resort and Casino
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!
Latest Magazine Issues
Apr 2024
Jan 2024
Latest Journal Issues
Nuclear Science and Engineering
May 2024
Nuclear Technology
Fusion Science and Technology
Latest News
NWMO to select Canadian repository site this year
Canada’s Nuclear Waste Management Organization, a not-for-profit organization responsible for the long-term management of the country’s intermediate- and high-level radioactive waste, is set to select a site for a deep geologic repository by the end of the year.
T. Matsumura
Nuclear Science and Engineering | Volume 183 | Number 3 | July 2016 | Pages 407-420
Technical Paper | doi.org/10.13182/NSE15-86
Articles are hosted by Taylor and Francis Online.
The neutron escape probability from a rectangular cell is investigated for the collision probability method. Since the numerical calculation of the escape probability requires multiple integrations, resulting in a long computing time, semianalytical approximation of the multiple integrations is proposed to reduce the computing time. By approximating the result of integration in the z-direction by a polynomial expression divided into ranges, it is possible to perform the integrations in the x- and y-directions analytically. The computing time of the present semianalytical approximation is reduced by one to two orders of magnitude compared with that required for the conventional numerical integration. Moreover, a lookup escape probability table for rectangular cells calculated using the semianalytical approximation enables the calculation of the escape probability for an arbitrary rectangle with a much shorter computing time and practical precision (<0.1% error). In addition, a method of applying the semianalytical approximation and a lookup table to the collision probability calculation for an x-y geometry is discussed.