Parallel integration of odes by vector field decompositions

Abstract

In this paper we consider inner parallelism of ODEs, and an approach to designing large scale parallelism for integrating ODEs. It is based on vector field approximations by means of the complete integrable vector field atlas. The maps of this atlas are in agreement with the definition error of the original vector field which is changed on the local map up to some complete integrable vector field. Potential parallelism is associated with independent computations of the complete first integral system on each local map.

Keywords:

• Potential parallelism
• ordinary differential equations
• vector field decomposition

C.R.Categories:

• G.1.2
• G.1.7