title: Improvements on the application of convergence accelerators for the evaluation of some three-electron atomic integrals.
abstract: Convergence accelerator methods are employed to analyze some of the most difficult three-electron integrals that arise in atomic calculations. These integrals have an explicit dependence on the interelectronic coordinates, and take the form integral r(i)(1)r(j)(2)r(k)(3)r(l)(23)r(m)(31)r(n)(12) exp((-alpha(r1)-beta(r2)-gamma(r3))dr(1)dr(2)dr(3). The focus of the present investigation are the most difficult cases of the parameter set [i, j, k, l, m, n]. Several convergence accelerator techniques are studied, and a comparison presenting the relative effectiveness of each technique is reported. When the convergence accelerator approach is combined with specialized numerical quadrature methods, we find that the overall technique yields high-precision results and is fairly efficient in terms of computational resources. Difficulties associated with the standard numerical precision loss of convergence accelerator techniques are circumvented.
authors.affiliation: Department of Chemistry, University of Wisconsin-Eau Claire, Eau Claire, Wisconsin 54702, USA.
authors.forename: Paul J
authors.initials: PJ
authors.lastname: Pelzl
authors.forename: Gregory J
authors.initials: GJ
authors.lastname: Smethells
authors.forename: Frederick W
authors.initials: FW
authors.lastname: King