A computational approach to the D-module of meromorphic functions
  Let $D$ be a divisor in ${\bf C}^n$. We present methods to compare the ${\mathcal D}$-module of the meromorphic functions ${\mathcal O}[* D]$ to some natural approximations. We show how the analytic case can be treated with computations in the Weyl algebra. 
F.J. Castro-Jimenez and J.M. Ucha