## Section: Software

### PurityFiltration

Participant : Alban Quadrat [correspondent] .

The PurityFiltration package, built upon the OreModules package, is an implementation of a new effective algorithm obtained in [63] , [72] which computes the purity filtration [77] , [78] of linear multidimensional systems (e.g., partial differential systems, differential time-delay systems, difference systems) and their equivalent block-triangular matrices. This package is used to solve in closed form solutions over/underdetermined linear partial differential systems which cannot be directly integrated by the standard computer algebra systems such as Maple and Mathematica. The binary of the package is freely available at http://www-sop.inria.fr/members/Alban.Quadrat/PurityFiltration.html .