A Localization Algorithm for $D$-modules
  We present a method to compute the holonomic extension of a $D$-module from a Zariski open set in affine space to the whole space. A particular application is the localization of coherent $D$-modules which are holonomic on the complement of an affine variety. 
Toshinori Oaku, Nobuki Takayama and Uli Walther