  We present a new approach to termination analysis of numerical computations
in logic programs. Traditional approaches fail to analyse them due to non
well-foundedness of the integers. We present a technique that allows to
overcome these difficulties. Our approach is based on transforming a program in
way that allows integrating and extending techniques originally developed for
analysis of numerical computations in the framework of query-mapping pairs with
the well-known framework of acceptability. Such an integration not only
contributes to the understanding of termination behaviour of numerical
computations, but also allows to perform a correct analysis of such
computations automatically, thus, extending previous work on a
constraints-based approach to termination. In the last section of the paper we
discuss possible extensions of the technique, including incorporating general
term orderings.
