A Second Order Accurate Adams-Bashforth Type Discrete Event Integration Scheme

Authors:
James Nutaro
Affiliations:
Oak Ridge National Laboratory, USA
Venue:
Proceedings of the 21st International Workshop on Principles of Advanced and Distributed Simulation
Year:
2007

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Abstract

This paper proposes a second order accurate, Adams- Bashforth type, asynchronous integration scheme for numerically solving systems of ordinary differential equations. The method has three aspects; a local integration rule with third order truncation error, a third order accurate model of local influencers, and local time advance limits. The role of these elements in the scheme's operation are discussed and demonstrated. The time advance limit, which distinguishes this method from other discrete event methods for ODEs, is argued to be essential for constructing high order accuracy schemes.