==========================
 Convergence Acceleration
==========================

We consider various convergence acceleration techniques in the module
:mod:`mmf.math.integrate.acceleration`.  These are useful for
accelerating series (i.e. if you are trying to sum an infinite number
of terms than fall off smoothly) or extrapolating quantities to an
infinite limit.

Examples
========
As an example and a test of the messages, we will compute a lattice
sum of a radially spherical function in two dimensions:

.. math::
   \sum_{\vect{n}} f(n^2) = \sum_{n^2=0}^{\infty} d_{n^2}f(n^2)

where :math:`d_{n^2}` is the degeneracy factor.  In two dimensions
this is easy to compute as follows: