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\journal{Computer Physics Communications}
\title{ITERATIVE SOLUTION OF THE \\
ORNSTEIN-ZERNIKE EQUATION\\
WITH VARIOUS CLOSURES\\
USING VECTOR
EXTRAPOLATION}
\author{Herbert H. H. Homeier\thanksref{HHHH}},
\author{Sebastian Rast\thanksref{SR}},
\author{Hartmut Krienke\thanksref{HK}}
\address{
 Institut f\"ur Physikalische und Theoretische Chemie,
  Universit\"at Regensburg,
 D-93040 Regensburg, Germany}
 \thanks[HHHH]{na.hhomeier@na-net.ornl.gov}
 \thanks[SR]{Sebastian.Rast@chemie.uni-regensburg.de}
 \thanks[HK]{Hartmut.Krienke@chemie.uni-regensburg.de}
 \begin{abstract}
 The solution of the Ornstein-Zernike equation with various
 closure approximations is studied. This problem is rewritten as
 an integral equation that can be solved iteratively on a grid.
 The convergence of the fixed point iterations is relatively
 slow. We consider transformations of the sequence of solution
 vectors using non-linear sequence transformations, so-called
 {\em vector extrapolation processes}. An example is the vector
 ${\cal J}$\ transformation. The transformed vector sequences
 turn out to converge considerably faster than the original
 sequences.
 \end{abstract}
 \end{frontmatter}
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