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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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ANS Student Conference 2025
April 3–5, 2025
Albuquerque, NM|The University of New Mexico
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Latest News
First astatine-labeled compound shipped in the U.S.
The Department of Energy’s National Isotope Development Center (NIDC) on March 31 announced the successful long-distance shipment in the United States of a biologically active compound labeled with the medical radioisotope astatine-211 (At-211). Because previous shipments have included only the “bare” isotope, the NIDC has described the development as “unleashing medical innovation.”
Weixiong Zheng, Ryan G. McClarren, Jim E. Morel
Nuclear Science and Engineering | Volume 189 | Number 3 | March 2018 | Pages 259-271
Technical Paper | doi.org/10.1080/00295639.2017.1407592
Articles are hosted by Taylor and Francis Online.
In this work, we present a subdomain discontinuous least-squares (SDLS) scheme for neutronics problems. Least-squares (LS) methods are known to be inaccurate for problems with sharp total cross-section interfaces. In addition, the LS scheme is known not to be globally conservative in heterogeneous problems. In problems where global conservation is important, e.g., k-eigenvalue problems, a conservative treatment must be applied. In this study, we propose an SDLS method that retains global conservation and, as a result, gives high accuracy on eigenvalue problems. Such a method resembles the LS formulation in each subdomain without a material interface and differs from LS in that an additional LS interface term appears for each interface. The scalar flux is continuous in each subdomain with the continuous finite element method while discontinuous on interfaces for every pair of contiguous subdomains. The SDLS numerical results are compared with those obtained from other numerical methods with test problems having material interfaces. High accuracy of scalar flux in fixed-source problems and in eigenvalue problems is demonstrated.