A parallel algorithm to solve large stiff ODE systems on grid systems

International audienceThis paper introduces a parallel algorithm to solve large stiff ODE systems in a geographically distant cluster environment. This algorithm is based on the coupling of the waveform relaxation concept and the CVODE algorithm. With respect to the standard PVODE algorithm, it allows to drastically reduce the number of messages exchanged between nodes. It is a coarse grained algorithm well suited for distant grid environments connected via high latency networks. In this paper our work consists in analyzing the execution times taken by the PVODE solver and our algorithm and in explaining the benefits brought by this work

A Parallel Algorithm to Solve Large Stiff ODE Systems on Grid Systems

International audienceThis paper introduces a parallel algorithm to solve large stiff ODE systems on distributed clusters, with computing nodes geographically distant from each other. This algorithm is based on the waveform relaxation method coupled with a sequential solver for differential equations systems. With respect to the standard PVODE algorithm (Parallel Variable-coefficient Ordinary Differential Equations solver; Byrne, George, and Hindmars 1999), it drastically reduces the number of messages exchanged between nodes which makes it less sensitive to slow communications. Thus, it is a coarse-grained algorithm well suited for grid environments connected via high latency networks. In this paper, we present various experiments which compare the PVODE solver and our algorithm and which show the benefits brought by this work