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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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International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering (M&C 2025)
April 27–30, 2025
Denver, CO|The Westin Denver Downtown
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
TerraPower begins U.K. regulatory approval process
Seattle-based TerraPower signaled its interest this week in building its Natrium small modular reactor in the United Kingdom, the company announced.
TerraPower sent a letter to the U.K.’s Department for Energy Security and Net Zero, formally establishing its intention to enter the U.K. generic design assessment (GDA) process. This is TerraPower’s first step in deployment of its Natrium technology—a 345-MW sodium fast reactor coupled with a molten salt energy storage unit—on the international stage.
H.N. M. Gheorghiu, F. Rahnema
Nuclear Science and Engineering | Volume 125 | Number 3 | March 1997 | Pages 314-323
Technical Paper | doi.org/10.13182/NSE97-A24277
Articles are hosted by Taylor and Francis Online.
Generalized Rayleigh quotients are developed to provide estimates of the eigenvalues of the continuous-energy transport equation and its diffusion approximation. The new variational principles extend the applicability of the quotient to perturbations of the boundary as well as the boundary condition of the system. As a result, all three (operator, boundary condition, and external boundary) perturbation types can now be treated simultaneously, and the standard Rayleigh quotient appears as a special case of the variational principles given in this paper. The correctness of the principles are verified by reproducing the first-order perturbation results and considering some numerical examples for the case of boundary perturbation.
