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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 Annual Conference
June 16–19, 2024
Las Vegas, NV|Mandalay Bay Resort and Casino
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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
Commercial nuclear innovation "new space" age
In early 2006, a start-up company launched a small rocket from a tiny island in the Pacific. It exploded, showering the island with debris. A year later, a second launch attempt sent a rocket to space but failed to make orbit, burning up in the atmosphere. Another year brought a third attempt—and a third failure. The following month, in September 2008, the company used the last of its funds to launch a fourth rocket. It reached orbit, making history as the first privately funded liquid-fueled rocket to do so.
R. T. Evans, D. G. Cacuci
Nuclear Science and Engineering | Volume 172 | Number 2 | October 2012 | Pages 216-222
Technical Note | doi.org/10.13182/NSE11-110
Articles are hosted by Taylor and Francis Online.
We have implemented the first-order adjoint sensitivity analysis procedure (ASAP) into the three-dimensional parallel radiation transport code system Denovo, a module of the SCALE software suite. In particular, we used a Krylov-based approach to compute the solution to the inhomogeneous adjoint systems occurring in the ASAP. Our implementation, as a component of Denovo's scalable framework, should allow the efficient computation of cross section and atomic number density sensitivity coefficients for critical systems in a massively parallel fashion. We have constructed a proof that the Krylov-based approach converges to a unique solution and compared its computational requirements with the standard algorithm used in the neutron transport community. In addition, we performed a verification of our ASAP implementation on the Godiva experimental benchmark. We found the new approach to be an order of magnitude faster than the standard algorithm in this benchmark.