Efficient and Accurate Computation of Elastic Cross Sections in the Single-Level Breit-Wigner Resonance Region

Abstract

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.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 2006
Accession Number
ADA450166

Entities

People

  • Edward L. Hobbs

Organizations

  • Air Force Institute of Technology

Tags

DTIC Thesaurus Topics

  • Air Force
  • Algorithms
  • Calorific Value
  • Central Processing Units
  • Computational Science
  • Computations
  • Computer Programs
  • Computers
  • Data Analysis
  • Data Storage Systems
  • Elastic Scattering
  • Error Analysis
  • Neutron Cross Sections
  • Nuclear Cross Sections
  • Nuclei
  • Scattering Cross Sections
  • Test Methods

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Computational Modeling and Simulation
  • Solar Physics