Issue No.01 - Jan.-Feb. (2014 vol.16)
Troels F. Ronnow , ETH Zurich
DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/MCSE.2013.40
An integral result inspired by previous work is investigated numerically and analytically. As results show, a custom-made integration routine is several times faster than the native routines, which might be beneficial for cases in which many integrals must be carried out. Based on a result from 1975 by Herrick and Stillinger, we present a custom integral routine written in Maple. This routine is several times faster than a native integration routine and might be beneficial in cases where many integrals must be carried out. The Web extra is the supplied program mentioned in the article.
Software engineering, Pattern matching, Algebra, Analytical integration, Monte Carlo methods, Scientific computing, Atomic measurements,scientific computing, computer algebraic systems, Maplesoft Maple, Wolfram Research Mathematica, analytical integration, coupled two-body integrals
Troels F. Ronnow, "Evaluating a Special Class of Two-Body Integrals through Maple's Integral Routine Extension", Computing in Science & Engineering, vol.16, no. 1, pp. 18-23, Jan.-Feb. 2014, doi:10.1109/MCSE.2013.40