Date of Award
Master of Science
Department of Engineering Physics
David W. Gerts, PhD
The use of piecewise cubic Hermite polynomials to approximate resonance region cross sections provides a means to accomplish the same task with increased accuracy and fewer points that require exact cross section calculation. Once the derivative of the cross section formula is derived and the interpolating cubic is appropriately shifted and scaled for numerical stability, use of the piecewise cubic Hermite polynomial is easily inserted into computer codes that depend on cross section calculation in the resonance energy region.
DTIC Accession Number
Hobbs, Edward L., "Efficient and Accurate Computation of Elastic Cross Sections in the Single-Level Breit-Wigner Resonance Region" (2006). Theses and Dissertations. 3369.