Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems
Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems
ICCAD '97 Proceedings of the 1997 IEEE/ACM international conference on Computer-aided design
Theory of Modeling and Simulation
Theory of Modeling and Simulation
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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.