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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
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
New laws offer nuclear industry incentives for existing power plant uprates
This year, the U.S. nuclear industry received a much-needed economic boost that could help preserve operating nuclear power plants and incentivize upgrades that extend their lifespan and power output.
Signed into law in 2022, the Inflation Reduction Act offers production tax credits (PTCs) for existing nuclear power plants and either PTCs or investment tax credits (ITCs) for new carbon-free generation. These credits could make power uprates—increasing the maximum power level at which a commercial plant may operate—a much more appealing option for utilities.
Clinton T. Ballinger, James A. Rathkopf, William R. Martin
Nuclear Science and Engineering | Volume 112 | Number 4 | December 1992 | Pages 283-295
Technical Paper | doi.org/10.13182/NSE92-A23978
Articles are hosted by Taylor and Francis Online.
A new method, response history Monte Carlo (RHMC), has been developed for solving electron transport problems through homogeneous material, and it is more accurate than the conventional method for energies below a few hundred kilo-electron-volts. Since electrons can suffer thousands of collisions and lose only a fraction of their incident energy, analog Monte Carlo (single scatter) is extremely time-consuming. The conventional electron transport method avoids simulating single scattering events by modeling the effect of multiple collisions. This condensed history method requires assumptions that are invalid at lower energies to analytically determine probability distribution functions (pdfs) representing the electron state after multiple collisions. Like the condensed history method, the RHMC method uses an approximate random walk where each step represents the cumulative effect of many collisions. However, the RHMC method is more accurate than the condensed history method since the multiscattered electron state is sampled from pdfs predetermined by analog Monte Carlo calculations instead of approximate analytic solutions.