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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.
Meeting Spotlight
Conference on Nuclear Training and Education: A Biennial International Forum (CONTE 2025)
February 3–6, 2025
Amelia Island, FL|Omni Amelia Island Resort
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
Senate committee hears from energy secretary nominee Chris Wright
Wright
Chris Wright, president-elect Trump’s pick to lead the U.S. Department of Energy, spent hours today fielding questions from members of the U.S. Senate’s committee on Energy and Natural Resources.
During the hearing, Wright—who’s spent most of his career in fossil fuels—made comments in support of nuclear energy and efforts to expand domestic generation in the near future. Asked what actions he would take as energy secretary to improve the development and deployment of SMRs, Wright said: “It’s a big challenge, and I’m new to government, so I can’t list off the five levers I can pull. But (I’ve been in discussions) about how to make it easier to research, to invest, to build things. The DOE has land at some of its facilities that can be helpful in this regard.”
Y. Y. Azmy
Nuclear Science and Engineering | Volume 115 | Number 3 | November 1993 | Pages 265-272
Technical Note | doi.org/10.13182/NSE93-A24055
Articles are hosted by Taylor and Francis Online.
We compute the spectral radius for Reed’s cell-centered imposed diffusion synthetic acceleration (IDSA) method applied to a fixed-weights weighted diamond-difference (WDD) scheme. We show that Reed’s conclusion that IDSA is conditionally stable is strictly true only for very small magnitude spatial weights. For the zeroth-order nodal integral method, the step method (unit weights), and WDD methods with large enough weights (say larger than 0.5), a simple choice of the diffusion coefficient results in unconditionally stable, rapidly converging iterations. Moreover, the IDSA’s spectral radius vanishes in the limit of infinitely thick computational cells, thereby implying immediate convergence for sufficiently thick problems. We verify all these results via model and nonmodel test problems.