First Experiences on Parallelizing Peer Methods for Numerical Solution of a Vegetation Model.

The purpose of this paper is to provide a parallel acceleration of peer methods for the numerical solution of systems of Ordinary Differential Equations (ODEs) arising from the space discretization of Partial Differential Equations (PDEs) modeling the growth of vegetation in semi-arid climatic zones. The parallel algorithm is implemented by using the CUDA environment for Graphics Processing Units (GPUs) architectures. Numerical experiments, showing the performance gain of the proposed strategy, are provided.