21st International Workshop on Principles of Advanced and Distributed Simulation (PADS'07) (2007)
San Diego, California, USA
June 12, 2007 to June 15, 2007
DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/PADS.2007.17
Fernando J. Barros , University of Coimbra, Portugal
The efficient integration of ordinary differential equations (ODEs) is an important topic in continuous and hybrid systems research. Current solutions involve variable step size solvers based on synchronous and asynchronous approaches. In this paper we evaluate, by means of simulation, the performance and accuracy of adaptive explicit asynchronous ODE solvers and we compare them with explicit synchronous solvers. Simulation results show that explicit synchronous solvers can exhibit better performance than the corresponding asynchronous methods. We consider a family of systems that can be dynamically partitioned into asynchronous clusters of synchronous ODEs. We show that the ability to independently solve each cluster can lead to significant computation gains.
F. J. Barros, "Comparing Synchronous and Asynchronous Variable Step Size Explicit ODE Solvers: A Simulation Study," 21st International Workshop on Principles of Advanced and Distributed Simulation (PADS'07)(PADS), San Diego, California, USA, 2007, pp. 32-37.