Talbot Suite: a parallel software collection for the numerical inversion of Laplace Transforms

This report presents Talbot Suite, a parallel software collection for the numerical inversion of Laplace Transforms, based on Talbot’s method. It is designed to fit both single and multi-point Laplace inversion problems, which arise in several application and research fields. High accuracy and efficiency are reached making full use of modern High Performance Computing (HPC) architectures. Talbot Suite is oriented to modern hybrid architectures. Different software versions have been implemented in the collection, specifically designed for distributed memory (MPI-based implementation), shared memory (OMP-based implementation) and hybrid (combined MPI/OMP-based implementation) systems. In this paper we discuss our design guidelines, the software organization and we report some performance results.